27:I[81166,["/_next/static/immutable/chunks/2corl6wyj4669.js","/_next/static/immutable/chunks/38n271cv4vmyv.js","/_next/static/immutable/chunks/2pf73jja2520w.js"],"default"] 28:T65e,Directions (Qs. 15-19): Read the following passage carefully and answer the questions that follow. Spices, though commonplace in daily cooking, exist in a wide array of forms, each shaped by regional origins and preparation techniques. Common ground spices, the most widely used variety, are produced through drying and grinding processes that remove moisture and standardise texture. Their fine consistency and strong aroma make them essential in household kitchens and commercial food production. In contrast, whole spices are minimally processed and retain natural oils that enhance depth of flavour. Culinary experts often praise their robust character, especially when freshly crushed. Certain spices, such as saffron, are valued not only for taste but also for their rarity and labour-intensive harvesting methods. Turmeric, sourced primarily from tropical regions, derives its vibrant colour from curcumin compounds. While many believe it possesses medicinal properties beyond mere seasoning, scientific evidence remains under continuous examination. Asafoetida, widely used in South Asian cuisine, emits a pungent aroma due to sulphur compounds, adding complexity to vegetarian dishes. Vanilla pods, regarded as one of the most luxurious flavouring agents, are hand-cured through meticulous processes. Highly prized for their fragrance and subtlety, they serve more as a finishing accent than a routine ingredient. Thus, although unified by their role in flavour enhancement, spices differ markedly in aroma, potency, processing, and cultural relevance, making them objects of both necessity and refined appreciation.29:T65e,Directions (Qs. 15-19): Read the following passage carefully and answer the questions that follow. Spices, though commonplace in daily cooking, exist in a wide array of forms, each shaped by regional origins and preparation techniques. Common ground spices, the most widely used variety, are produced through drying and grinding processes that remove moisture and standardise texture. Their fine consistency and strong aroma make them essential in household kitchens and commercial food production. In contrast, whole spices are minimally processed and retain natural oils that enhance depth of flavour. Culinary experts often praise their robust character, especially when freshly crushed. Certain spices, such as saffron, are valued not only for taste but also for their rarity and labour-intensive harvesting methods. Turmeric, sourced primarily from tropical regions, derives its vibrant colour from curcumin compounds. While many believe it possesses medicinal properties beyond mere seasoning, scientific evidence remains under continuous examination. Asafoetida, widely used in South Asian cuisine, emits a pungent aroma due to sulphur compounds, adding complexity to vegetarian dishes. Vanilla pods, regarded as one of the most luxurious flavouring agents, are hand-cured through meticulous processes. Highly prized for their fragrance and subtlety, they serve more as a finishing accent than a routine ingredient. Thus, although unified by their role in flavour enhancement, spices differ markedly in aroma, potency, processing, and cultural relevance, making them objects of both necessity and refined appreciation.2a:T65e,Directions (Qs. 15-19): Read the following passage carefully and answer the questions that follow. Spices, though commonplace in daily cooking, exist in a wide array of forms, each shaped by regional origins and preparation techniques. Common ground spices, the most widely used variety, are produced through drying and grinding processes that remove moisture and standardise texture. Their fine consistency and strong aroma make them essential in household kitchens and commercial food production. In contrast, whole spices are minimally processed and retain natural oils that enhance depth of flavour. Culinary experts often praise their robust character, especially when freshly crushed. Certain spices, such as saffron, are valued not only for taste but also for their rarity and labour-intensive harvesting methods. Turmeric, sourced primarily from tropical regions, derives its vibrant colour from curcumin compounds. While many believe it possesses medicinal properties beyond mere seasoning, scientific evidence remains under continuous examination. Asafoetida, widely used in South Asian cuisine, emits a pungent aroma due to sulphur compounds, adding complexity to vegetarian dishes. Vanilla pods, regarded as one of the most luxurious flavouring agents, are hand-cured through meticulous processes. Highly prized for their fragrance and subtlety, they serve more as a finishing accent than a routine ingredient. Thus, although unified by their role in flavour enhancement, spices differ markedly in aroma, potency, processing, and cultural relevance, making them objects of both necessity and refined appreciation.2b:T65e,Directions (Qs. 15-19): Read the following passage carefully and answer the questions that follow. Spices, though commonplace in daily cooking, exist in a wide array of forms, each shaped by regional origins and preparation techniques. Common ground spices, the most widely used variety, are produced through drying and grinding processes that remove moisture and standardise texture. Their fine consistency and strong aroma make them essential in household kitchens and commercial food production. In contrast, whole spices are minimally processed and retain natural oils that enhance depth of flavour. Culinary experts often praise their robust character, especially when freshly crushed. Certain spices, such as saffron, are valued not only for taste but also for their rarity and labour-intensive harvesting methods. Turmeric, sourced primarily from tropical regions, derives its vibrant colour from curcumin compounds. While many believe it possesses medicinal properties beyond mere seasoning, scientific evidence remains under continuous examination. Asafoetida, widely used in South Asian cuisine, emits a pungent aroma due to sulphur compounds, adding complexity to vegetarian dishes. Vanilla pods, regarded as one of the most luxurious flavouring agents, are hand-cured through meticulous processes. Highly prized for their fragrance and subtlety, they serve more as a finishing accent than a routine ingredient. Thus, although unified by their role in flavour enhancement, spices differ markedly in aroma, potency, processing, and cultural relevance, making them objects of both necessity and refined appreciation.2c:T65e,Directions (Qs. 15-19): Read the following passage carefully and answer the questions that follow. Spices, though commonplace in daily cooking, exist in a wide array of forms, each shaped by regional origins and preparation techniques. Common ground spices, the most widely used variety, are produced through drying and grinding processes that remove moisture and standardise texture. Their fine consistency and strong aroma make them essential in household kitchens and commercial food production. In contrast, whole spices are minimally processed and retain natural oils that enhance depth of flavour. Culinary experts often praise their robust character, especially when freshly crushed. Certain spices, such as saffron, are valued not only for taste but also for their rarity and labour-intensive harvesting methods. Turmeric, sourced primarily from tropical regions, derives its vibrant colour from curcumin compounds. While many believe it possesses medicinal properties beyond mere seasoning, scientific evidence remains under continuous examination. Asafoetida, widely used in South Asian cuisine, emits a pungent aroma due to sulphur compounds, adding complexity to vegetarian dishes. Vanilla pods, regarded as one of the most luxurious flavouring agents, are hand-cured through meticulous processes. Highly prized for their fragrance and subtlety, they serve more as a finishing accent than a routine ingredient. Thus, although unified by their role in flavour enhancement, spices differ markedly in aroma, potency, processing, and cultural relevance, making them objects of both necessity and refined appreciation.2d:T7f9,The symbols @, ©, $, % and * are used with different meanings as follows:

^{'} M \emptyset N^{'}

means ' M is either greater than or equal to

N^{'}

M $ N^{'}

means ' M is either smaller than or equal to

N^{'}

M % N^{'}

means ' M is neither greater then nor smaller than

N^{'}

M * N^{'}

means ' M is greater than

N^{'}

' M @

N^{'}

means ' M is smaller than

N^{'}

Statements: A $ C, C % D, D * E Conclusions: I. D % A II. D * A2e:T985,प्रतीकों @, ©, $, % तथा * का प्रयोग भिन्न-भिन्न अर्थों में निम्नानुसार किया गया है:

^{'} M \emptyset N^{'}

का अर्थ है ' M,

N^{'}

से या तो बड़ा है या उसके बराबर है '

M $ N^{'}

का अर्थ है ' M,

N^{'}

से या तो छोटा है या उसके बराबर है '

M % N^{'}

का अर्थ है ' M,

N^{'}

से न तो बड़ा है और न ही छोटा है '

M * N^{'}

का अर्थ है ' M,

N^{'}

से बड़ा है ' M @

N^{'}

का अर्थ है ' M,

N^{'}

से छोटा है कथन: A $ C, C % D, D * E निष्कर्ष: I. D % A II. D * A2f:T4ef,Coded inequalities First replace each symbol by the inequality sign it stands for, then join the statements into a single chain.

The statements give

A \leq C

, C = D and D > E. Combining the first two,

A \leq C = D

, which means

D \geq A

. Conclusion I claims D = A and conclusion II claims D > A; neither is certain by itself, because

D \geq A

permits both. But

D \geq A

also guarantees that one of the two must hold - there is no third possibility left. So conclusions I and II form an either-or pair, and option (c) is correct.30:T7bd,कूट असमिकाएँ सबसे पहले प्रत्येक प्रतीक के स्थान पर उसका असमिका-चिह्न रखिए, फिर कथनों को एक ही शृंखला में जोड़िए।

कथनों से प्राप्त होता है:

A \leq C

, C = D तथा D > E। पहले दोनों को मिलाने पर

A \leq C = D

, अर्थात्

D \geq A

। निष्कर्ष I कहता है D = A तथा निष्कर्ष II कहता है D > A; अकेले कोई भी निश्चित नहीं है, क्योंकि

D \geq A

दोनों की अनुमति देता है। किंतु

D \geq A

यह भी सुनिश्चित करता है कि दोनों में से एक अवश्य सत्य होगा - कोई तीसरी संभावना शेष नहीं रहती। अतः निष्कर्ष I तथा II 'या तो-या' युग्म बनाते हैं, इसलिए विकल्प (c) सही है।31:T5c8,Number series Look for a single rule that takes each term to the next one. Test 'multiply by 5 and add 10':

2 \times 5 + 10 = 20

20 \times 5 + 10 = 110

110 \times 5 + 10 = 560

. The rule holds for every step given, so apply it once more.

The missing term is

560 \times 5 + 10 = 2800 + 10 = 2810

. The same pattern shows in the gaps:

18, 90, 450

- each five times the one before - so the next gap is

450 \times 5 = 2250

and 560+2250=2810. Hence option (b) is correct.32:T77f,संख्या शृंखला ऐसा एक नियम खोजिए जो प्रत्येक पद को अगले पद तक ले जाए। '5 से गुणा करके 10 जोड़ें' को जाँचिए:

2 \times 5 + 10 = 20

20 \times 5 + 10 = 110

110 \times 5 + 10 = 560

। यह नियम दिए गए प्रत्येक चरण पर लागू होता है, अतः इसे एक बार और लगाइए।

अभीष्ट पद

560 \times 5 + 10 = 2800 + 10 = 2810

है। यही पैटर्न अंतरों में भी दिखता है:

18, 90, 450

- प्रत्येक पिछले का पाँच गुना - अतः अगला अंतर

450 \times 5 = 2250

तथा 560+2250=2810। इसलिए विकल्प (b) सही है।33:T468,Divisibility 11 and 19 are both prime, so a number divisible by both must be divisible by their product

11 \times 19 = 209

. So the answer must be a multiple of 209.

209 \times 2 = 418

, so 418 is divisible by 209 and therefore by 11 as well as by 19.

Checking the rest:

361 = 19^{2}

is divisible by 19 but not by 11, 419 is a prime number, and

425 = 5^{2} \times 17

. Hence option (a) is correct.34:T603,विभाज्यता 11 तथा 19 दोनों अभाज्य हैं, अतः जो संख्या दोनों से विभाज्य होगी वह उनके गुणनफल

11 \times 19 = 209

से भी विभाज्य होगी। अतः उत्तर 209 का गुणज होना चाहिए।

209 \times 2 = 418

, अतः 418 संख्या 209 से और इसलिए 11 तथा 19 दोनों से विभाज्य है।

शेष की जाँच:

361 = 19^{2}

केवल 19 से विभाज्य है, 11 से नहीं; 419 एक अभाज्य संख्या है; तथा

425 = 5^{2} \times 17

। इसलिए विकल्प (a) सही है।35:T64a,Alphanumeric series Handle the letters and the numbers separately. The letters run P, Q, R, S, T, U in alphabetical order, so the next letter is V. The numbers

1, 1, 8, 27, 125, 512

are all perfect cubes:

1^{3}, 1^{3}, 2^{3}, 3^{3}, 5^{3}, 8^{3}

The cube roots

1, 1, 2, 3, 5, 8

form a Fibonacci sequence, in which each term is the sum of the two before it, so the next root is 5+8=13. Therefore the next number is

13^{3} = 2197

and the term is V2197. Hence option (d) is correct.36:T7f7,अक्षर-संख्या शृंखला अक्षरों तथा संख्याओं को अलग-अलग देखिए। अक्षर वर्णक्रम में P, Q, R, S, T, U चल रहे हैं, अतः अगला अक्षर V होगा। संख्याएँ

1, 1, 8, 27, 125, 512

सभी पूर्ण घन हैं:

1^{3}, 1^{3}, 2^{3}, 3^{3}, 5^{3}, 8^{3}

।

घनमूल

1, 1, 2, 3, 5, 8

फिबोनाच्ची अनुक्रम बनाते हैं, जिसमें प्रत्येक पद अपने पिछले दो पदों का योग होता है, अतः अगला घनमूल 5+8=13 है। इसलिए अगली संख्या

13^{3} = 2197

है और पद V2197 होगा। अतः विकल्प (d) सही है।37:T453,Symbol substitution In such questions every sign of the expression is first replaced by the sign the code gives it, and only after that is the BODMAS order applied.

48 \times 4 + 20 \div 5 - 6

becomes

48 \div 4 \times 20 - 5 + 6

. Division and multiplication are done first, from left to right:

48 \div 4 = 12

and

12 \times 20 = 240

. Now 240-5+6=241. Hence the required value is 241.38:T596,चिह्न प्रतिस्थापन ऐसे प्रश्नों में सबसे पहले व्यंजक के प्रत्येक चिह्न को कूट में दिए गए चिह्न से बदला जाता है और उसके बाद ही BODMAS क्रम लागू किया जाता है।

अतः

48 \times 4 + 20 \div 5 - 6

बदलकर

48 \div 4 \times 20 - 5 + 6

हो जाता है। पहले भाग तथा गुणा, बाएँ से दाएँ:

48 \div 4 = 12

तथा

12 \times 20 = 240

। अब 240-5+6=241। अतः अभीष्ट मान 241 है।39:T850,Number series Write each term as a counting number multiplied by the square of the next counting number.

4 = 1 \times 2^{2}

18 = 2 \times 3^{2}

48 = 3 \times 4^{2}

100 = 4 \times 5^{2}

180 = 5 \times 6^{2}

. So the nth term is

n {(n + 1)}^{2}

For n=6 the next term is

6 \times 7^{2} = 6 \times 49 = 294

. The differences

14, 30, 52, 80

confirm it: their own differences

16, 22, 28

rise by 6, so the next difference is 80+34=114 and 180+114=294.3a:T990,संख्या शृंखला प्रत्येक पद को एक गणन संख्या तथा उसके अगली गणन संख्या के वर्ग के गुणनफल के रूप में लिखिए।

4 = 1 \times 2^{2}

18 = 2 \times 3^{2}

48 = 3 \times 4^{2}

100 = 4 \times 5^{2}

180 = 5 \times 6^{2}

। अतः nवाँ पद

n {(n + 1)}^{2}

है।

n=6 के लिए अगला पद

6 \times 7^{2} = 6 \times 49 = 294

है। अंतर

14, 30, 52, 80

से भी यही पुष्टि होती है: इनके अंतर

16, 22, 28

हैं जो 6 से बढ़ते हैं, अतः अगला अंतर 80+34=114 और 180+114=294।3b:T40a,Number analogy Here the smaller number written on the right has to be turned into the larger number written on the left.

560 \times 6 = 3360

and 3360+18=3378.

238 \times 6 = 1428

and 1428+18=1446. So the rule is: first number =(second number

\times 6) + 18

Hence the missing number

= 324 \times 6 + 18 = 1944 + 18 = 1962

.3c:T912,Odd letter-number pair In every pair the first letter moves 3 places back, the second letter moves 6 places back, and the number is changed by one fixed rule. P

\to

M, K

\to

E; Q

\to

N, Y

\to

S; G

\to

D, N

\to

H; O

\to

L, I

\to

C — so the letters obey the same rule in all four options. The number rule is

n^{2} - 1

11^{2} - 1 = 120

17^{2} - 1 = 288

and

15^{2} - 1 = 224

, all of which match.

For QY13 the rule gives

13^{2} - 1 = 169 - 1 = 168

, but the pair shows 170. Hence QY13 - NS170 is the odd one out.3d:Taf5,असंगत अक्षर-संख्या युग्म प्रत्येक युग्म में पहला अक्षर 3 स्थान पीछे तथा दूसरा अक्षर 6 स्थान पीछे जाता है और संख्या एक निश्चित नियम से बदलती है। P

\to

M, K

\to

E; Q

\to

N, Y

\to

S; G

\to

D, N

\to

H; O

\to

L, I

\to

C — अर्थात् चारों विकल्पों में अक्षर एक ही नियम का पालन करते हैं। संख्या का नियम

n^{2} - 1

है:

11^{2} - 1 = 120

17^{2} - 1 = 288

तथा

15^{2} - 1 = 224

— ये सभी मेल खाते हैं।

QY13 के लिए इस नियम से

13^{2} - 1 = 169 - 1 = 168

आता है, जबकि युग्म में 170 दिया है। अतः QY13 - NS170 असंगत है।3e:T493,Fraction of income Monthly income

= 90, 000

. Fraction saved

= 1 - \frac{4}{5} - \frac{1}{9}

. Taking 45 as the common denominator,

= \frac{45 - 36 - 5}{45} = \frac{4}{45}

. Saving

= 90000 \times \frac{4}{45} = 2000 \times 4 = 8000

3f:T4e0,आय का भिन्नात्मक भाग मासिक आय

= 90, 000

। बचत का भिन्न

= 1 - \frac{4}{5} - \frac{1}{9}

। 45 को हर बनाने पर,

= \frac{45 - 36 - 5}{45} = \frac{4}{45}

। बचत

= 90000 \times \frac{4}{45} = 2000 \times 4 = 8000

।

40:T59e,Diagonal of a cuboid The shortest path inside a box from one bottom corner to the opposite top corner is its space diagonal.

Formula:

d = \sqrt{l^{2} + b^{2} + h^{2}}

d = \sqrt{5^{2} + 12^{2} + 13^{2}} = \sqrt{25 + 144 + 169} = \sqrt{338}

\sqrt{338} = \sqrt{169 \times 2} = 13 \sqrt{2} = 13 \times 1.414 = 18.38

m.41:T63f,घनाभ का विकर्ण बक्से के भीतर एक निचले कोने से विपरीत ऊपरी कोने तक का लघुतम पथ उसका विकर्ण (space diagonal) होता है।

सूत्र:

d = \sqrt{l^{2} + b^{2} + h^{2}}

।

d = \sqrt{5^{2} + 12^{2} + 13^{2}} = \sqrt{25 + 144 + 169} = \sqrt{338}

।

\sqrt{338} = \sqrt{169 \times 2} = 13 \sqrt{2} = 13 \times 1.414 = 18.38

m।42:T4c3,Profit and loss Let the total cost price be 100 units, so goods worth 40 units are sold at a profit and goods worth 60 units at a loss. Profit on the first part

= 40 \times \frac{25}{100} = 10

units. Loss on the second part

= 60 \times \frac{10}{100} = 6

units. Net gain =10-6=4 units, and this net gain is given as ₹150.

So 1 unit

= \frac{150}{4} = 37.5

and total cost price

= 100 \times 37.5 = 3750

, that is ₹3750.43:T5f9,लाभ और हानि माना कि कुल क्रय मूल्य 100 इकाई है, अतः 40 इकाई का माल लाभ पर तथा 60 इकाई का माल हानि पर बेचा गया। पहले भाग पर लाभ

= 40 \times \frac{25}{100} = 10

इकाई। दूसरे भाग पर हानि

= 60 \times \frac{10}{100} = 6

इकाई। शुद्ध लाभ =10-6=4 इकाई, और यही शुद्ध लाभ ₹150 दिया गया है।

अतः 1 इकाई

= \frac{150}{4} = 37.5

तथा कुल क्रय मूल्य

= 100 \times 37.5 = 3750

, अर्थात् ₹3750।44:T80d,Centroid of a triangle Formula: centroid

G = (\frac{x_{1} + x_{2} + x_{3}}{3}, \frac{y_{1} + y_{2} + y_{3}}{3})

G = (\frac{1 + 5 + 3}{3}, \frac{1 + 1 + 7}{3}) = (\frac{9}{3}, \frac{9}{3}) = (3, 3)

R G = \sqrt{{(3 - 3)}^{2} + {(7 - 3)}^{2}} = \sqrt{0 + 16} = 4

. So the distance from vertex R to the centroid is 4 units.45:T870,त्रिभुज का केंद्रक सूत्र: केंद्रक

G = (\frac{x_{1} + x_{2} + x_{3}}{3}, \frac{y_{1} + y_{2} + y_{3}}{3})

।

G = (\frac{1 + 5 + 3}{3}, \frac{1 + 1 + 7}{3}) = (\frac{9}{3}, \frac{9}{3}) = (3, 3)

।

R G = \sqrt{{(3 - 3)}^{2} + {(7 - 3)}^{2}} = \sqrt{0 + 16} = 4

। अतः शीर्ष R से केंद्रक की दूरी 4 इकाई है।46:T7c1,Volume and mass of a prism

The base is a right-angled triangle, so its area

= \frac{1}{2} \times 0.5 \times 1.2 = 0.3

square metre. Volume of the prism = base area

\times

length

= 0.3 \times 3.6 = 1.08

cubic metre. Since 1 cubic metre

= 10^{6}

cubic centimetre, the volume

= 1.08 \times 10^{6}

cubic centimetre. Mass = density

\times

volume

= 0.80 \times 1.08 \times 10^{6} = 8.64 \times 10^{5}

gram.

8.64 \times 10^{5}

gram

= \frac{864000}{1000} = 864.00

kg.47:T917,प्रिज़्म का आयतन और द्रव्यमान

आधार एक समकोण त्रिभुज है, अतः उसका क्षेत्रफल

= \frac{1}{2} \times 0.5 \times 1.2 = 0.3

वर्ग मीटर। प्रिज़्म का आयतन = आधार क्षेत्रफल

\times

लंबाई

= 0.3 \times 3.6 = 1.08

घन मीटर। चूँकि 1 घन मीटर

= 10^{6}

घन सेंटीमीटर, अतः आयतन

= 1.08 \times 10^{6}

घन सेंटीमीटर। द्रव्यमान = घनत्व

\times

आयतन

= 0.80 \times 1.08 \times 10^{6} = 8.64 \times 10^{5}

ग्राम।

8.64 \times 10^{5}

ग्राम

= \frac{864000}{1000} = 864.00

kg।48:T5b1,Trigonometric ratios

\cot θ = \frac{base}{perpendicular} = \frac{7}{24}

, so take base =7 and perpendicular =24. By Pythagoras, hypotenuse

= \sqrt{7^{2} + 24^{2}} = \sqrt{49 + 576} = \sqrt{625} = 25

c o s e c θ = \frac{hypotenuse}{perpendicular} = \frac{25}{24}

. Hence

c o s e c θ = \frac{25}{24}

.49:T62f,त्रिकोणमितीय अनुपात

\cot θ = \frac{आधार}{लंब} = \frac{7}{24}

, अतः आधार =7 तथा लंब =24 लीजिए। पाइथागोरस प्रमेय से, कर्ण

= \sqrt{7^{2} + 24^{2}} = \sqrt{49 + 576} = \sqrt{625} = 25

।

c o s e c θ = \frac{कर्ण}{लंब} = \frac{25}{24}

। अतः

c o s e c θ = \frac{25}{24}

है।4a:Tb61,Trigonometric identities Use the two Pythagorean identities:

1 + \tan^{2} A = \sec^{2} A

and

1 + \cot^{2} A = {c o s e c}^{2} A

. So the expression

= \frac{\sec^{2} A}{{c o s e c}^{2} A} = \frac{1 / \cos^{2} A}{1 / \sin^{2} A} = \frac{\sin^{2} A}{\cos^{2} A} = \tan^{2} A

. Given

\cos A = \frac{12}{13}

with A acute, take the base =12 and the hypotenuse =13. Perpendicular

= \sqrt{13^{2} - 12^{2}} = \sqrt{169 - 144} = \sqrt{25} = 5

\tan A = \frac{5}{12}

, so

\tan^{2} A = \frac{25}{144}

. Hence the required value is

\frac{25}{144}

, and option (c) is correct.4b:Tc89,त्रिकोणमितीय सर्वसमिकाएँ दो पाइथागोरस सर्वसमिकाओं का प्रयोग कीजिए:

1 + \tan^{2} A = \sec^{2} A

तथा

1 + \cot^{2} A = {c o s e c}^{2} A

। अतः दिया गया व्यंजक

= \frac{\sec^{2} A}{{c o s e c}^{2} A} = \frac{1 / \cos^{2} A}{1 / \sin^{2} A} = \frac{\sin^{2} A}{\cos^{2} A} = \tan^{2} A

। दिया है

\cos A = \frac{12}{13}

तथा A न्यूनकोण है, अतः आधार =12 और कर्ण =13 लीजिए। लंब

= \sqrt{13^{2} - 12^{2}} = \sqrt{169 - 144} = \sqrt{25} = 5

।

\tan A = \frac{5}{12}

, अतः

\tan^{2} A = \frac{25}{144}

। अतः अभीष्ट मान

\frac{25}{144}

है, इसलिए सही विकल्प (c) है।4c:T5e1,Speed, time and distance Speed of the train

= \frac{240}{6} = 40

km/h. Speed of the car

= 40 \times \frac{120}{100} = 48

km/h. Speed of the bike

= 48 \times \frac{50}{100} = 24

km/h. Time taken by the car for 288 km

= \frac{288}{48} = 6

hours. Time taken by the bike for 288 km

= \frac{288}{24} = 12

hours.

Difference =12-6=6 hours

= 6 \times 60 = 360

minutes, so option (d) is correct.4d:T6d1,चाल, समय और दूरी रेलगाड़ी की चाल

= \frac{240}{6} = 40

km/h। कार की चाल

= 40 \times \frac{120}{100} = 48

km/h। बाइक की चाल

= 48 \times \frac{50}{100} = 24

km/h। 288 km के लिए कार द्वारा लिया गया समय

= \frac{288}{48} = 6

घंटे। 288 km के लिए बाइक द्वारा लिया गया समय

= \frac{288}{24} = 12

घंटे।

अंतर =12-6=6 घंटे

= 6 \times 60 = 360

मिनट, इसलिए सही विकल्प (d) है।4e:Tac3,Tangents and cyclic quadrilateral

C lies on the minor arc, so

∠ A C B = 102^{\circ}

is the angle in the minor segment. Take any point D on the major arc; ACBD is a cyclic quadrilateral, so

∠ A C B + ∠ A D B = 180^{\circ}

∠ A D B = 180^{\circ} - 102^{\circ} = 78^{\circ}

. The angle at the centre is twice the angle at the remaining part of the circle, so

∠ A O B = 2 \times 78^{\circ} = 156^{\circ}

. A tangent is perpendicular to the radius at the point of contact, so

∠ O A P = ∠ O B P = 90^{\circ}

. The four angles of quadrilateral AOBP add up to

360^{\circ}

∠ A P B = 360^{\circ} - (90^{\circ} + 90^{\circ} + 156^{\circ}) = 360^{\circ} - 336^{\circ} = 24^{\circ}

. Hence option (b) is correct.4f:Tc90,स्पर्श रेखा और चक्रीय चतुर्भुज

C लघु चाप पर स्थित है, अतः

∠ A C B = 102^{\circ}

लघु वृत्तखंड में बना कोण है। दीर्घ चाप पर कोई बिंदु D लीजिए; ACBD एक चक्रीय चतुर्भुज है, अतः

∠ A C B + ∠ A D B = 180^{\circ}

।

∠ A D B = 180^{\circ} - 102^{\circ} = 78^{\circ}

। केंद्र पर बना कोण शेष वृत्त पर बने कोण का दुगुना होता है, अतः

∠ A O B = 2 \times 78^{\circ} = 156^{\circ}

। स्पर्श रेखा स्पर्श बिंदु पर त्रिज्या के लंबवत होती है, अतः

∠ O A P = ∠ O B P = 90^{\circ}

। चतुर्भुज AOBP के चारों कोणों का योग

360^{\circ}

होता है:

∠ A P B = 360^{\circ} - (90^{\circ} + 90^{\circ} + 156^{\circ}) = 360^{\circ} - 336^{\circ} = 24^{\circ}

। इसलिए सही विकल्प (b) है।50:T628,Surface area of hemispheres The curved surface area of one hemisphere of radius r is

2 π r^{2}

(its flat circular face is not part of the curved surface). For the two hemispheres together, curved surface

= 2 \times 2 π r^{2} = 4 π r^{2}

. When the two flat faces are pressed together they vanish inside the join, so the outside of the ball is made up only of the two curved surfaces. Total surface area of the sphere formed

= 4 π r^{2}

Required percentage

= \frac{4 π r^{2}}{4 π r^{2}} \times 100 = 100 %

, so option (b) is correct.51:T8ac,गोलार्ध का पृष्ठीय क्षेत्रफल त्रिज्या r वाले एक गोलार्ध का वक्र पृष्ठीय क्षेत्रफल

2 π r^{2}

होता है (उसका सपाट वृत्ताकार फलक वक्र पृष्ठ में सम्मिलित नहीं है)। दोनों गोलार्धों को मिलाकर वक्र पृष्ठ

= 2 \times 2 π r^{2} = 4 π r^{2}

। जब दोनों सपाट फलक आपस में जोड़ दिए जाते हैं तो वे जोड़ के भीतर छिप जाते हैं, अतः गोले का बाहरी पृष्ठ केवल इन्हीं दो वक्र पृष्ठों से बनता है। इस प्रकार बने गोले का कुल पृष्ठीय क्षेत्रफल

= 4 π r^{2}

।

अभीष्ट प्रतिशत

= \frac{4 π r^{2}}{4 π r^{2}} \times 100 = 100 %

, इसलिए सही विकल्प (b) है।52:T83a,Lateral surface of a pyramid The lateral surface depends only on the base side and the height, so the ant's path is extra information here. Half of the base side

= \frac{16}{2} = 8

cm; this is the distance from the centre of the base to the mid-point of a base edge.

Slant height

l = \sqrt{h^{2} + {(\frac{a}{2})}^{2}} = \sqrt{12^{2} + 8^{2}} = \sqrt{144 + 64} = \sqrt{208} \approx 14.42

cm. Lateral surface area

= \frac{1}{2} \times (perimeter of base) \times l = \frac{1}{2} \times (4 \times 16) \times 14.42

= 32 \times 14.42 = 461.44

​^{2}

, so option (b) is correct.53:T9ed,पिरामिड का पार्श्व पृष्ठ पार्श्व पृष्ठ केवल आधार की भुजा तथा ऊँचाई पर निर्भर करता है, अतः चींटी के मार्ग वाली सूचना यहाँ अतिरिक्त है। आधार की भुजा का आधा

= \frac{16}{2} = 8

cm; यही आधार के केंद्र से आधार की किसी भुजा के मध्यबिंदु तक की दूरी है।

तिर्यक ऊँचाई

l = \sqrt{h^{2} + {(\frac{a}{2})}^{2}} = \sqrt{12^{2} + 8^{2}} = \sqrt{144 + 64} = \sqrt{208} \approx 14.42

cm। पार्श्व पृष्ठीय क्षेत्रफल

= \frac{1}{2} \times (perimeter of base) \times l = \frac{1}{2} \times (4 \times 16) \times 14.42

।

= 32 \times 14.42 = 461.44

​^{2}

, इसलिए सही विकल्प (b) है।54:T698,Proper fractions Statement I: take the proper fraction

\frac{3}{4}

and the whole number 8.

\frac{3}{4} \times 8 = 6

, which is a whole number, so such a product can indeed be a whole number. Statement I is true. Statement II: a proper fraction lies between 0 and 1. If

0 < \frac{a}{b} < 1

and

0 < \frac{c}{d} < 1

, then

\frac{a}{b} \times \frac{c}{d} < 1 \times 1 = 1

, and the product is still positive. For example

\frac{2}{3} \times \frac{3}{5} = \frac{2}{5}

, again a proper fraction. Statement II is true. Both statements are true, so option (b) is correct.55:T81e,उचित भिन्न कथन I: उचित भिन्न

\frac{3}{4}

तथा पूर्ण संख्या 8 लीजिए।

\frac{3}{4} \times 8 = 6

, जो एक पूर्ण संख्या है, अतः ऐसा गुणनफल पूर्ण संख्या हो सकता है। कथन I सत्य है। कथन II: उचित भिन्न 0 और 1 के बीच होती है। यदि

0 < \frac{a}{b} < 1

तथा

0 < \frac{c}{d} < 1

हो, तो

\frac{a}{b} \times \frac{c}{d} < 1 \times 1 = 1

, और गुणनफल धनात्मक ही रहता है। उदाहरणतः

\frac{2}{3} \times \frac{3}{5} = \frac{2}{5}

, जो पुनः एक उचित भिन्न है। कथन II सत्य है। दोनों कथन सत्य हैं, इसलिए सही विकल्प (b) है।56:T970,Complementary angles Use

\sin θ = \cos (90^{\circ} - θ)

: if a sine equals a cosine, the two angles are complementary. So

(x + 10^{\circ}) + (3 x - 20^{\circ}) = 90^{\circ}

4 x - 10^{\circ} = 90^{\circ}

4 x = 100^{\circ}

, hence

x = 25^{\circ}

. Check:

\sin (25^{\circ} + 10^{\circ}) = \sin 35^{\circ}

and

\cos (75^{\circ} - 20^{\circ}) = \cos 55^{\circ}

, and

\sin 35^{\circ} = \cos 55^{\circ}

. So option (b) is correct.57:Ta6c,पूरक कोण संबंध सूत्र:

\sin θ = \cos (90^{\circ} - θ)

- यदि किसी कोण की ज्या दूसरे कोण की कोज्या के बराबर हो, तो दोनों कोण पूरक होते हैं। अतः

(x + 10^{\circ}) + (3 x - 20^{\circ}) = 90^{\circ}

।

4 x - 10^{\circ} = 90^{\circ}

4 x = 100^{\circ}

, अतः

x = 25^{\circ}

। जाँच:

\sin (25^{\circ} + 10^{\circ}) = \sin 35^{\circ}

तथा

\cos (75^{\circ} - 20^{\circ}) = \cos 55^{\circ}

, और

\sin 35^{\circ} = \cos 55^{\circ}

है। इसलिए सही विकल्प (b) है।58:T834,Successive percentage change Each change multiplies the previous population by a fixed factor:

+ 20 % \to \frac{6}{5}

- 10 % \to \frac{9}{10}

+ 25 % \to \frac{5}{4}

. After three hours of

20 %

growth:

10000 \times {(\frac{6}{5})}^{3} = 10000 \times \frac{216}{125} = 17280

. Fall of

10 %

in the 4th hour:

17280 \times \frac{9}{10} = 15552

. Rise of

25 %

in the 5th hour:

15552 \times \frac{5}{4} = 19440

So the population after 5 hours is 19,440, and option (c) is correct.59:T98c,क्रमिक प्रतिशत परिवर्तन प्रत्येक परिवर्तन पिछली जनसंख्या को एक निश्चित गुणक से गुणा करता है:

+ 20 % \to \frac{6}{5}

- 10 % \to \frac{9}{10}

+ 25 % \to \frac{5}{4}

। तीन घंटे तक

20 %

वृद्धि के बाद:

10000 \times {(\frac{6}{5})}^{3} = 10000 \times \frac{216}{125} = 17280

। चौथे घंटे में

10 %

की कमी:

17280 \times \frac{9}{10} = 15552

। पाँचवें घंटे में

25 %

की वृद्धि:

15552 \times \frac{5}{4} = 19440

।

अतः 5 घंटे बाद जनसंख्या 19,440 होगी, इसलिए सही विकल्प (c) है।5a:T78b,Slant height of a cone For a cone,

l^{2} = r^{2} + h^{2}

10^{2} = 6^{2} + h^{2}

, so

h^{2} = 100 - 36 = 64

and h=8 cm. New height

= 8 \times \frac{150}{100} = 12

cm, while the radius stays 6 cm.

New slant height

= \sqrt{6^{2} + 12^{2}} = \sqrt{36 + 144} = \sqrt{180} = 6 \sqrt{5}

6 \sqrt{5} \approx 6 \times 2.236 = 13.41

cm, so option (b) is correct.5b:T840,शंकु की तिर्यक ऊँचाई शंकु के लिए,

l^{2} = r^{2} + h^{2}

।

10^{2} = 6^{2} + h^{2}

, अतः

h^{2} = 100 - 36 = 64

और h=8 cm। नई ऊँचाई

= 8 \times \frac{150}{100} = 12

cm, जबकि त्रिज्या 6 cm ही रहती है।

नई तिर्यक ऊँचाई

= \sqrt{6^{2} + 12^{2}} = \sqrt{36 + 144} = \sqrt{180} = 6 \sqrt{5}

।

6 \sqrt{5} \approx 6 \times 2.236 = 13.41

cm, इसलिए सही विकल्प (b) है।5c:T43a,Consecutive odd numbers Let the two consecutive odd numbers be n and n+2. Their product

= n (n + 2) = n^{2} + 2 n

. Adding 1 gives

n^{2} + 2 n + 1 = {(n + 1)}^{2}

, a perfect square - and n+1 is the even number lying between them.

Since 1 is the smallest positive number there is, nothing smaller can work. Hence the required number is 1, and option (a) is correct.5d:T5ed,क्रमागत विषम संख्याएँ माना कि दोनों क्रमागत विषम संख्याएँ n तथा n+2 हैं। उनका गुणनफल

= n (n + 2) = n^{2} + 2 n

। 1 जोड़ने पर

n^{2} + 2 n + 1 = {(n + 1)}^{2}

प्राप्त होता है, जो पूर्ण वर्ग है - और n+1 उन दोनों के बीच की सम संख्या है।

चूँकि 1 सबसे छोटी धनात्मक संख्या है, इससे छोटी कोई संख्या काम नहीं कर सकती। अतः अभीष्ट संख्या 1 है, इसलिए सही विकल्प (a) है।5e:T823,Tangents from an external point

A tangent is perpendicular to the radius at the point of contact, so

∠ O A P = ∠ O B P = 90^{\circ}

. In right triangle OAP,

A P = \sqrt{O P^{2} - O A^{2}} = \sqrt{61^{2} - 11^{2}} = \sqrt{3721 - 121} = \sqrt{3600} = 60

units. Area of

△ O A P = \frac{1}{2} \times O A \times A P = \frac{1}{2} \times 11 \times 60 = 330

square units. The two tangents from an external point are equal, so

△ O A P ≅ △ O B P

and the quadrilateral is made of these two equal triangles. Area of PAOB

= 2 \times 330 = 660

square units, so option (b) is correct.5f:Ta4c,बाह्य बिंदु से स्पर्श रेखाएँ

स्पर्श रेखा स्पर्श बिंदु पर त्रिज्या के लंबवत होती है, अतः

∠ O A P = ∠ O B P = 90^{\circ}

। समकोण त्रिभुज OAP में,

A P = \sqrt{O P^{2} - O A^{2}} = \sqrt{61^{2} - 11^{2}} = \sqrt{3721 - 121} = \sqrt{3600} = 60

इकाई।

△ O A P

का क्षेत्रफल

= \frac{1}{2} \times O A \times A P = \frac{1}{2} \times 11 \times 60 = 330

वर्ग इकाई। बाह्य बिंदु से खींची गई दोनों स्पर्श रेखाएँ बराबर होती हैं, अतः

△ O A P ≅ △ O B P

और चतुर्भुज इन्हीं दो बराबर त्रिभुजों से बना है। PAOB का क्षेत्रफल

= 2 \times 330 = 660

वर्ग इकाई, इसलिए सही विकल्प (b) है।60:T626,Centroid of a triangle The centroid is the average of the coordinates of the three vertices:

G = (\frac{x_{1} + x_{2} + x_{3}}{3}, \frac{y_{1} + y_{2} + y_{3}}{3})

x-coordinate

= \frac{1 + 3 + 5}{3} = \frac{9}{3} = 3

. y-coordinate

= \frac{1 + 2 + 3}{3} = \frac{6}{3} = 2

So the centroid is (3,2), and option (b) is correct.61:T6ea,त्रिभुज का केंद्रक केंद्रक तीनों शीर्षों के निर्देशांकों का औसत होता है:

G = (\frac{x_{1} + x_{2} + x_{3}}{3}, \frac{y_{1} + y_{2} + y_{3}}{3})

x-निर्देशांक

= \frac{1 + 3 + 5}{3} = \frac{9}{3} = 3

। y-निर्देशांक

= \frac{1 + 2 + 3}{3} = \frac{6}{3} = 2

।

अतः केंद्रक (3,2) है, इसलिए सही विकल्प (b) है।62:T723,Pythagorean triple and sine The right angle is at B, so AC=41 is the hypotenuse and BC=9 is one leg. Third side

= \sqrt{41^{2} - 9^{2}} = \sqrt{1681 - 81} = \sqrt{1600} = 40

, so the sides form the 9-40-41 triple.

In this triangle the two acute angles have sines

\frac{40}{41}

and

\frac{9}{41}

. A sine can never exceed 1, which rules out

\frac{41}{40}

, and

\frac{7}{40}

and

\frac{7}{41}

do not arise from a 9-40-41 triangle at all. So

\sin A = \frac{40}{41}

, and option (c) is correct.63:T8a2,पाइथागोरस त्रिक और ज्या समकोण B पर है, अतः AC=41 कर्ण है तथा BC=9 एक भुजा है। तीसरी भुजा

= \sqrt{41^{2} - 9^{2}} = \sqrt{1681 - 81} = \sqrt{1600} = 40

, अतः भुजाएँ 9-40-41 त्रिक बनाती हैं।

इस त्रिभुज के दोनों न्यूनकोणों की ज्या

\frac{40}{41}

तथा

\frac{9}{41}

हैं। किसी कोण की ज्या 1 से अधिक नहीं हो सकती, अतः

\frac{41}{40}

असंभव है, और

\frac{7}{40}

तथा

\frac{7}{41}

इस 9-40-41 त्रिभुज से बनते ही नहीं। अतः

\sin A = \frac{40}{41}

, इसलिए सही विकल्प (c) है।64:T574,Sun-synchronous orbit A Sun-synchronous orbit is a near-polar low Earth orbit, usually 600-800 km high, in which the satellite crosses a given latitude at the same local solar time every day, so the lighting in the images stays comparable. The orbital speed follows from

v = \sqrt{\frac{G M}{r}}

, where r is measured from the centre of the Earth. Here r=6371+800=7171 km and

G M = 3.986 \times 10^{5}

(in

{km}^{3} / s^{2}

v = \sqrt{\frac{398600}{7171}} = \sqrt{55.6} \approx 7.5

km/s. So the satellite moves at about 7.5 km per second and completes one revolution in roughly 100 minutes. Hence option (b) is correct.65:T856,सूर्य-तुल्यकालिक कक्षा सूर्य-तुल्यकालिक कक्षा एक निकट-ध्रुवीय निम्न भू-कक्षा है, जो प्रायः 600-800 km की ऊँचाई पर होती है, जिसमें उपग्रह किसी दिए गए अक्षांश को प्रतिदिन एक ही स्थानीय सौर समय पर पार करता है, जिससे चित्रों में प्रकाश की स्थिति तुलनीय बनी रहती है। कक्षीय चाल सूत्र

v = \sqrt{\frac{G M}{r}}

से प्राप्त होती है, जहाँ r पृथ्वी के केंद्र से मापी जाती है। यहाँ r=6371+800=7171 km तथा

G M = 3.986 \times 10^{5}

(

{km}^{3} / s^{2}

में)।

v = \sqrt{\frac{398600}{7171}} = \sqrt{55.6} \approx 7.5

km/s। अर्थात् उपग्रह लगभग 7.5 km प्रति सेकंड की चाल से चलता है और लगभग 100 मिनट में एक परिक्रमा पूरी करता है। अतः सही विकल्प (b) है।66:T4a3,Work done by a force Work done by a constant force is

W = F \times s \times \cos θ

, where

θ

is the angle between the force and the displacement.

Here the force acts along the displacement, so

θ = 0^{\circ}

and

\cos 0^{\circ} = 1

. Substituting F=8 N and s=3 m:

W = 8 \times 3 \times 1

. W=24 J. Hence the work done is 24 J, option (c).67:T5e5,बल द्वारा किया गया कार्य किसी नियत बल द्वारा किया गया कार्य

W = F \times s \times \cos θ

होता है, जहाँ

θ

बल तथा विस्थापन के बीच का कोण है।

यहाँ बल विस्थापन की दिशा में ही लगता है, अतः

θ = 0^{\circ}

तथा

\cos 0^{\circ} = 1

। F=8 N तथा s=3 m रखने पर:

W = 8 \times 3 \times 1

। W=24 J। अतः किया गया कार्य 24 J है, अर्थात् विकल्प (c)।1d:["$","$L27",null,{"mode":"exam","dropped":0,"bilingual":true,"choiceSubjects":[],"questions":[{"id":12501,"n":1,"subject":"English Language","stem":"Identify the incorrect sentence.","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"These pieces of equipments are handled by trained technicians.","textHi":null,"imageUrl":null},{"key":"b","text":"Horses can run very fast.","textHi":null,"imageUrl":null},{"key":"c","text":"The Aravallis are the oldest mountains of the west.","textHi":null,"imageUrl":null},{"key":"d","text":"There are not many supporters of Netaji these days.","textHi":null,"imageUrl":null}],"correct":"a","sol":"Uncountable nouns\nThe four sentences have to be scanned for a noun that has no plural form of its own.\n'Equipment' is an uncountable (mass) noun, so it never takes '-s'; the quantity is shown by the counter placed before it — 'pieces of equipment'.\n $\"figure\"/$ \nOption (a) writes 'pieces of equipments', which marks the plural twice, so it is the incorrect sentence; the other three are grammatically sound.","solHi":null,"pos":2,"neg":0.5},{"id":12502,"n":2,"subject":"English Language","stem":"Identify the incorrect sentence.","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"Twenty percent of the workers in the factory work night shifts.","textHi":null,"imageUrl":null},{"key":"b","text":"Two hours is enough time to complete the test.","textHi":null,"imageUrl":null},{"key":"c","text":"Her information was accurate and helpful for the investigation.","textHi":null,"imageUrl":null},{"key":"d","text":"The jury was undivided in their verdict to imprison the person.","textHi":null,"imageUrl":null}],"correct":"d","sol":"Collective noun agreement\nA collective noun such as 'jury' takes a singular verb and a singular pronoun when the group acts as one body.\nOption (d) uses the singular verb 'was' but refers back with the plural pronoun 'their', so the sentence contradicts itself.\nThe word 'undivided' itself says the jury acted as a single unit, so the correct form is: The jury was undivided in its verdict to imprison the person.\n $\"figure\"/$ \nThe other three are sound: a percentage of a plural noun takes a plural verb, a stretch of time treated as one block takes a singular verb, and 'information' is an uncountable noun used correctly.","solHi":null,"pos":2,"neg":0.5},{"id":12503,"n":3,"subject":"English Language","stem":"Fill in the blank with the most appropriate preposition:\nShe invested heavily

____

green technology projects last year.","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"on","textHi":null,"imageUrl":null},{"key":"b","text":"from","textHi":null,"imageUrl":null},{"key":"c","text":"in","textHi":null,"imageUrl":null},{"key":"d","text":"at","textHi":null,"imageUrl":null}],"correct":"c","sol":"Preposition with 'invest'\nThe verb 'invest' is followed by 'in' when money, time or effort is put into something in the hope of a return.\nSo the sentence reads: She invested heavily in green technology projects last year.\n $\"figure\"/$ \n'invest on' and 'invest at' are not standard collocations, and 'from' would reverse the direction of the money.","solHi":null,"pos":2,"neg":0.5},{"id":12504,"n":4,"subject":"English Language","stem":"Fill in the blank with the most appropriate conjunction:\nThe patient performed well under medication,

____

the diagnosis remains unclear.","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"thus","textHi":null,"imageUrl":null},{"key":"b","text":"so","textHi":null,"imageUrl":null},{"key":"c","text":"yet","textHi":null,"imageUrl":null},{"key":"d","text":"since","textHi":null,"imageUrl":null}],"correct":"c","sol":"Conjunction of contrast\nThe two halves of the sentence pull in opposite directions: the patient did well, but the diagnosis is still unknown.\nA contrast link is therefore needed, and 'yet' joins a second clause that goes against the expectation raised by the first.\n $\"figure\"/$ \n'Thus' and 'so' both mark a result and 'since' marks a cause, so none of them can carry the contrast.","solHi":null,"pos":2,"neg":0.5},{"id":12505,"n":5,"subject":"English Language","stem":"Select the most appropriate synonym of the word:\nFact","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"Mirage","textHi":null,"imageUrl":null},{"key":"b","text":"Testimony","textHi":null,"imageUrl":null},{"key":"c","text":"Fantasy","textHi":null,"imageUrl":null},{"key":"d","text":"Truth","textHi":null,"imageUrl":null}],"correct":"d","sol":"Synonym\n'Fact' is a piece of information that is real and can be verified.\n'Truth' names exactly that quality of being in accordance with reality, so it is the closest synonym.\n $\"figure\"/$ \n'Mirage' and 'Fantasy' are the opposite — appearances or imaginings that are not real — and 'Testimony' is only a witness's statement, which may or may not be true.","solHi":null,"pos":2,"neg":0.5},{"id":12506,"n":6,"subject":"English Language","stem":"Select the part of the sentence that contains an incorrect spelling.\nA. The school comitee decided to\nB. organize a cultural\nC. festival to celebrate\nD. diversity and student talents.","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"A","textHi":null,"imageUrl":null},{"key":"b","text":"B","textHi":null,"imageUrl":null},{"key":"c","text":"C","textHi":null,"imageUrl":null},{"key":"d","text":"D","textHi":null,"imageUrl":null}],"correct":"a","sol":"Spelling error\nPart A reads 'The school comitee decided to'.\nThe word is spelt 'committee' — a double m, a double t and a double e; the sentence has dropped one letter from each pair.\n $\"figure\"/$ \nParts B, C and D — 'organize', 'festival', 'diversity' — are all spelt correctly, so the error lies in part A.","solHi":null,"pos":2,"neg":0.5},{"id":12507,"n":7,"subject":"English Language","stem":"Select the most appropriate antonym of the word:\nModern","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"Contemporary","textHi":null,"imageUrl":null},{"key":"b","text":"Current","textHi":null,"imageUrl":null},{"key":"c","text":"Obsolete","textHi":null,"imageUrl":null},{"key":"d","text":"Recent","textHi":null,"imageUrl":null}],"correct":"c","sol":"Antonym\n'Modern' describes whatever belongs to the present time or to the latest style.\n'Obsolete' describes what has gone out of use and been replaced by something newer, so it is the direct opposite.\n $\"figure\"/$ \n'Contemporary', 'Current' and 'Recent' all point to the present or the very near past, which makes them synonyms of 'Modern', not antonyms.","solHi":null,"pos":2,"neg":0.5},{"id":12508,"n":8,"subject":"English Language","stem":"Choose the most suitable option to replace the highlighted part of the sentence:\nThe fashion of carrying backpacks is something that has most certain become popular this year.","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"most certainly","textHi":null,"imageUrl":null},{"key":"b","text":"very certainly","textHi":null,"imageUrl":null},{"key":"c","text":"very certain","textHi":null,"imageUrl":null},{"key":"d","text":"maybe","textHi":null,"imageUrl":null}],"correct":"a","sol":"Adverb form\nThe highlighted words qualify the verb phrase 'become popular', and a verb can be modified only by an adverb, never by an adjective.\n'Certain' is an adjective; its adverb form is 'certainly', and 'most' intensifies that adverb.\n $\"figure\"/$ \nSo the sentence should read '... has most certainly become popular this year'. 'Very certainly' is unidiomatic, 'very certain' repeats the adjective error, and 'maybe' destroys the confident sense.","solHi":null,"pos":2,"neg":0.5},{"id":12509,"n":9,"subject":"English Language","stem":"Choose the correct one-word substitute for:\nA person who is guided more by ideals than by practical considerations.","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"Pessimist","textHi":null,"imageUrl":null},{"key":"b","text":"Fatalist","textHi":null,"imageUrl":null},{"key":"c","text":"Idealist","textHi":null,"imageUrl":null},{"key":"d","text":"Opportunist","textHi":null,"imageUrl":null}],"correct":"c","sol":"One word substitution\nThe definition points to a person whose actions are shaped by high principles rather than by what is practical.\n'Idealist' is precisely that word — one who lives by ideals and perfect standards.\n $\"figure\"/$ \nA pessimist expects the worst, a fatalist believes everything is already fixed by destiny, and an opportunist seizes whatever benefits him, so none of them fits the definition.","solHi":null,"pos":2,"neg":0.5},{"id":12510,"n":10,"subject":"English Language","stem":"Select the most appropriate antonym of the word:\nCoax","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"appeal","textHi":null,"imageUrl":null},{"key":"b","text":"attract","textHi":null,"imageUrl":null},{"key":"c","text":"Bully","textHi":null,"imageUrl":null},{"key":"d","text":"Cajole","textHi":null,"imageUrl":null}],"correct":"c","sol":"Antonym\n'Coax' means to persuade somebody gently, patiently and with kind words.\n'Bully' means to force somebody by threats and intimidation, which is the exact opposite method of getting one's way.\n $\"figure\"/$ \n'Cajole' is a near synonym of 'coax', while 'appeal' and 'attract' carry no idea of forcing anyone, so none of them is the antonym.","solHi":null,"pos":2,"neg":0.5},{"id":12511,"n":11,"subject":"English Language","stem":"Choose the option that is the most appropriate conversion of the following sentence into Direct Speech.\nThe teacher asked whether she had been revising consistently and if she would be prepared by Friday.","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"The teacher asked, "Have you been revising consistently and will you be prepared by Friday?"","textHi":null,"imageUrl":null},{"key":"b","text":"The teacher asked, "Had you been revising consistently and would you be prepared by Friday?"","textHi":null,"imageUrl":null},{"key":"c","text":"The teacher asked, "Were you revising consistently and will you be prepared by Friday?"","textHi":null,"imageUrl":null},{"key":"d","text":"The teacher asked, "Have you revised consistently and are you prepared by Friday?"","textHi":null,"imageUrl":null}],"correct":"a","sol":"Direct speech\nWhen an indirect question is turned into direct speech the reporting verb 'asked' stays, the back-shift of tense is undone, and the reported words go inside inverted commas with a question mark.\n'had been revising' comes forward to 'have you been revising', and 'would be prepared' returns to 'will you be prepared'.\n $\"figure\"/$ \n'Whether' and 'if' are dropped because the direct form is itself a question, and 'she' becomes 'you' since the teacher is speaking to the student.\nHence: The teacher asked, "Have you been revising consistently and will you be prepared by Friday?"","solHi":null,"pos":2,"neg":0.5},{"id":12512,"n":12,"subject":"English Language","stem":"Change the following sentence into the Active form.\nThe revised plan will have been discussed for weeks before it is approved.","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"They will have discussed the revised plan for weeks before it is approved.","textHi":null,"imageUrl":null},{"key":"b","text":"The revised plan will have discussed for weeks before they approve it.","textHi":null,"imageUrl":null},{"key":"c","text":"The revised plan will be discussed for weeks before it is approved.","textHi":null,"imageUrl":null},{"key":"d","text":"They will be discussing the revised plan for weeks before they approve it.","textHi":null,"imageUrl":null}],"correct":"a","sol":"Passive to active voice\nThe passive verb is 'will have been discussed', which is the future perfect tense.\nThe active of 'will have been + V3' is 'will have + V3', and since the passive names no doer, the general subject 'They' is supplied.\n $\"figure\"/$ \nThe old subject 'the revised plan' now becomes the object: They will have discussed the revised plan for weeks before it is approved.\nOption (c) drops the perfect aspect and (d) turns it into a continuous, while (b) leaves the plan as the subject of an active verb, which absurdly makes the plan the discusser.","solHi":null,"pos":2,"neg":0.5},{"id":12513,"n":13,"subject":"English Language","stem":"Select the option that expresses the given sentence in indirect voice.\nHe said to us, "You will be successful."","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"He told us that you would be successful.","textHi":null,"imageUrl":null},{"key":"b","text":"He told us that we would be successful.","textHi":null,"imageUrl":null},{"key":"c","text":"He told us that we will be successful.","textHi":null,"imageUrl":null},{"key":"d","text":"He told us that he would be successful.","textHi":null,"imageUrl":null}],"correct":"b","sol":"Indirect speech\nThe reporting verb 'said to' becomes 'told', and the conjunction 'that' introduces the reported clause.\n'You' stands for the listeners, who appear as 'us' in the reporting clause, so inside the reported speech it becomes 'we'.\n'Will' back-shifts to 'would' because the reporting verb 'said' is in the past tense.\n $\"figure\"/$ \nHence: He told us that we would be successful.","solHi":null,"pos":2,"neg":0.5},{"id":12514,"n":14,"subject":"English Language","stem":"Choose the correct passive voice transformation of the sentence:\nThe teacher is guiding the students.","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"The students were being guided by the teacher.","textHi":null,"imageUrl":null},{"key":"b","text":"The students are guided by the teacher.","textHi":null,"imageUrl":null},{"key":"c","text":"The students are being guided by the teacher.","textHi":null,"imageUrl":null},{"key":"d","text":"The students have been guided by the teacher.","textHi":null,"imageUrl":null}],"correct":"c","sol":"Passive voice\nThe sentence is in the present continuous, whose passive pattern is 'is/are + being + V3'.\nThe object 'the students' becomes the subject and is plural, so the verb must be 'are being guided'.\n $\"figure\"/$ \nThat gives: The students are being guided by the teacher. Option (a) shifts to the past, (b) drops 'being' and becomes a simple present, and (d) turns it into a present perfect.","solHi":null,"pos":2,"neg":0.5},{"id":12515,"n":15,"subject":"English Language","stem":"Identify the correct transformation of the sentence below into the passive voice without altering its meaning.\nOriginal sentence:\n"Culinary experts often praise their robust character for the depth of flavour they provide.

^{a}

","stemHi":null,"context":"$28","contextHi":null,"options":[{"key":"a","text":"Their robust character is often praised by culinary experts for the depth of flavour they provide.","textHi":null,"imageUrl":null},{"key":"b","text":"Their robust character provides the depth of flavour often praised by culinary experts.","textHi":null,"imageUrl":null},{"key":"c","text":"The depth of flavour is often praised by culinary experts for their robust character.","textHi":null,"imageUrl":null},{"key":"d","text":"The robust character provides the depth of flavour often admired by culinary experts.","textHi":null,"imageUrl":null}],"correct":"a","sol":"Passive voice\nIn the active sentence 'Culinary experts' is the subject and 'their robust character' is the object of 'praise'.\nIn the passive the object moves to the front, the verb becomes 'is praised' — simple present, singular because 'character' is singular — and the old subject follows 'by'.\nThe adverb 'often' keeps its place before the main verb and the trailing phrase 'for the depth of flavour they provide' is left untouched.\n $\"figure\"/$ \nHence option (a). Options (b) and (d) are still active and shift the meaning, while (c) wrongly promotes 'the depth of flavour' to subject.","solHi":null,"pos":2,"neg":0.5},{"id":12516,"n":16,"subject":"English Language","stem":"Choose the sentence that correctly changes the tense of the following from present simple to past perfect.\n"Many believe it possesses medicinal properties beyond mere seasoning."","stemHi":null,"context":"$29","contextHi":null,"options":[{"key":"a","text":"Many believed it had possessed medicinal properties beyond mere seasoning.","textHi":null,"imageUrl":null},{"key":"b","text":"Many had believed it possessed medicinal properties beyond mere seasoning.","textHi":null,"imageUrl":null},{"key":"c","text":"Many had believed it had possessed medicinal properties beyond mere seasoning.","textHi":null,"imageUrl":null},{"key":"d","text":"Many believed it had been possessing medicinal properties beyond mere seasoning.","textHi":null,"imageUrl":null}],"correct":"c","sol":"Past perfect tense\nThe past perfect is formed with 'had + past participle', and here both verbs of the sentence have to be shifted — the reporting verb 'believe' and the verb 'possesses' in the that-clause.\n'believe' becomes 'had believed' and 'possesses' becomes 'had possessed'.\n $\"figure\"/$ \nOnly option (c) makes both changes; (a) and (b) shift just one verb each, and (d) uses the past perfect continuous, which is a different tense altogether.","solHi":null,"pos":2,"neg":0.5},{"id":12517,"n":17,"subject":"English Language","stem":"Which word from the passage means 'origin'?","stemHi":null,"context":"$2a","contextHi":null,"options":[{"key":"a","text":"Provenance","textHi":null,"imageUrl":null},{"key":"b","text":"Cuisine","textHi":null,"imageUrl":null},{"key":"c","text":"Aroma","textHi":null,"imageUrl":null},{"key":"d","text":"Texture","textHi":null,"imageUrl":null}],"correct":"a","sol":"Vocabulary from passage\nThe question asks for the word that carries the sense of 'origin' — the source or place a thing comes from.\n'Provenance' means exactly the place of origin or earliest known history of something, which matches the passage's idea of spices being shaped by their regional origins.\n $\"figure\"/$ \n'Cuisine' is a style of cooking, 'aroma' is a smell and 'texture' is the feel of a substance, so none of them names a source.","solHi":null,"pos":2,"neg":0.5},{"id":12518,"n":18,"subject":"English Language","stem":"Which word from the passage means 'expert understanding and judgement' ?","stemHi":null,"context":"$2b","contextHi":null,"options":[{"key":"a","text":"Casual","textHi":null,"imageUrl":null},{"key":"b","text":"Potency","textHi":null,"imageUrl":null},{"key":"c","text":"Connoisseurship","textHi":null,"imageUrl":null},{"key":"d","text":"Examination","textHi":null,"imageUrl":null}],"correct":"c","sol":"Vocabulary from passage\n'Expert understanding and judgement' describes a trained, discriminating taste in some field.\n'Connoisseurship' is exactly that — the knowledge and refined judgement of a connoisseur, matching the passage's closing idea of 'refined appreciation'.\n $\"figure\"/$ \n'Casual' means informal, 'potency' means strength and 'examination' means inspection, so none of them carries the sense of expert judgement.","solHi":null,"pos":2,"neg":0.5},{"id":12519,"n":19,"subject":"English Language","stem":"Which item is described as "more as a finishing accent than a routine ingredient"?","stemHi":null,"context":"$2c","contextHi":null,"options":[{"key":"a","text":"Turmeric","textHi":null,"imageUrl":null},{"key":"b","text":"Asafoetida","textHi":null,"imageUrl":null},{"key":"c","text":"Vanilla pods","textHi":null,"imageUrl":null},{"key":"d","text":"Ground spices","textHi":null,"imageUrl":null}],"correct":"c","sol":"Reading comprehension detail\nThe fourth paragraph of the passage deals with vanilla pods.\nIt says they are 'highly prized for their fragrance and subtlety' and that they 'serve more as a finishing accent than a routine ingredient'.\n $\"figure\"/$ \nTurmeric and asafoetida are presented as everyday cooking spices and ground spices are called the most widely used variety, so none of them is the item described.","solHi":null,"pos":2,"neg":0.5},{"id":12520,"n":20,"subject":"English Language","stem":"Rearrange the following sentences to form a meaningful and grammatically correct paragraph:\nP. The final figure, a woman carved from a single slab of stone, carried an expression of profound grief.\nQ. For several months, the artist had laboured continuously, chiselling the rock with precision.\nR. She drew inspiration from an old photograph of her mother taken during a time of great suffering.\nS . The artwork was a tribute, intended to honour the woman's memory and enduring strength.","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"P, R, Q, S","textHi":null,"imageUrl":null},{"key":"b","text":"R, Q, P, S","textHi":null,"imageUrl":null},{"key":"c","text":"S, R, P, Q","textHi":null,"imageUrl":null},{"key":"d","text":"Q, R, P, S","textHi":null,"imageUrl":null}],"correct":"b","sol":"Sentence rearrangement\nR opens the paragraph: it introduces the artist and the old photograph of her mother from which she drew her inspiration.\nQ follows with the months of patient chiselling that this inspiration led to.\nP then presents the finished figure — the woman carved from a single slab of stone.\nS closes by giving the purpose of that finished work: a tribute to the woman's memory and strength.\n $\"figure\"/$ \nThe correct order is therefore R, Q, P, S.","solHi":null,"pos":2,"neg":0.5},{"id":12521,"n":21,"subject":"English Language","stem":"Rearrange the following sentence parts to form a meaningful and grammatically correct paragraph:\nP. He explained his assessment and recommended a plan of treatment confidently.\nQ. To look for specific indicators, he requested several diagnostic scans and blood tests.\nR. He reviewed all the details, comparing them with his medical knowledge.\nS. As the patient described the symptoms, the physician listened carefully.","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"S, P, R, Q","textHi":null,"imageUrl":null},{"key":"b","text":"Q, S, R, P","textHi":null,"imageUrl":null},{"key":"c","text":"S, Q, R, P","textHi":null,"imageUrl":null},{"key":"d","text":"P, Q, R, S","textHi":null,"imageUrl":null}],"correct":"c","sol":"Sentence rearrangement\nThe paragraph describes one medical consultation, so it must begin at the moment the consultation begins.\nS introduces both persons - the patient describing the symptoms and the physician listening - so S is the opening part.\nQ follows naturally: only after hearing the symptoms would he order diagnostic scans and blood tests to look for indicators.\nR comes next, because 'all the details' can only mean the results of those tests, which he now compares with his medical knowledge.\nP is the closing step - after that review he explains his assessment and recommends a plan of treatment.\nSo the correct order is S, Q, R, P, and option (c) is correct.","solHi":null,"pos":2,"neg":0.5},{"id":12522,"n":22,"subject":"English Language","stem":"Select the most appropriate option to replace the word highlighted in Bold/underline.\nShe mastered the skill of bluffing with confidence and dramatic expressions.","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"describing","textHi":null,"imageUrl":null},{"key":"b","text":"pretending","textHi":null,"imageUrl":null},{"key":"c","text":"demonstrating","textHi":null,"imageUrl":null},{"key":"d","text":"confessing","textHi":null,"imageUrl":null}],"correct":"b","sol":"One-word substitution\nTo 'bluff' is to put on a show of confidence or knowledge that one does not really have, so as to mislead others.\nThe sentence supports this sense - she used confidence and dramatic expressions as a practised skill, that is, she was acting a part.\n'Pretending' means exactly this - behaving as if something is true when it is not - so it can replace the highlighted word without changing the meaning.\n'Describing' (telling about something) and 'demonstrating' (showing how something works) miss the idea of deception, and 'confessing' (admitting the truth) is its very opposite.\nHence option (b) is correct.","solHi":null,"pos":2,"neg":0.5},{"id":12523,"n":23,"subject":"English Language","stem":"Choose the most suitable option to fill in the blanks.\nThe people brought the young girl to the\n

____

who checked her carefully, saw a scar on her right

____

and duly announced her the destined one.","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"moral, morale","textHi":null,"imageUrl":null},{"key":"b","text":"oracle, auricle","textHi":null,"imageUrl":null},{"key":"c","text":"capital, capitol","textHi":null,"imageUrl":null},{"key":"d","text":"aural, oral","textHi":null,"imageUrl":null}],"correct":"b","sol":"Homophone pair\nBoth blanks are to be filled by a pair of similar-sounding words, and each word must suit its own slot.\nThe first blank names the person the girl is brought before for a judgement: an 'oracle' is a priest or priestess through whom a god's prophecy is delivered.\nThe second blank names a body part on which a scar is seen: the 'auricle' is the visible outer part of the ear.\nThis fits the sentence exactly - the oracle examines her, finds the scar on her right auricle and declares her the destined one.\n'Moral/morale', 'capital/capitol' and 'aural/oral' offer no word that can mean a prophet, so all three fail at the very first blank.\nHence option (b) is correct.","solHi":null,"pos":2,"neg":0.5},{"id":12524,"n":24,"subject":"English Language","stem":"Select the incorrectly spelt word.","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"underline","textHi":null,"imageUrl":null},{"key":"b","text":"archiac","textHi":null,"imageUrl":null},{"key":"c","text":"obfuscated","textHi":null,"imageUrl":null},{"key":"d","text":"enchant","textHi":null,"imageUrl":null}],"correct":"b","sol":"Spelling\nTest each option against its standard dictionary spelling.\n'Underline', 'obfuscated' and 'enchant' are all written correctly.\n'Archiac' is wrong - the correct spelling is 'archaic', meaning very old or no longer in use.\nThe trap lies in the vowel order: it is arch-a-i-c, not arch-i-a-c.\nHence option (b) is the incorrectly spelt word.","solHi":null,"pos":2,"neg":0.5},{"id":12525,"n":25,"subject":"English Language","stem":"Which of the following terms refers to a protein produced in the blood that fights diseases by attacking and killing harmful bacteria, viruses, etc.?","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"Antibody","textHi":null,"imageUrl":null},{"key":"b","text":"Antidote","textHi":null,"imageUrl":null},{"key":"c","text":"Antivenom","textHi":null,"imageUrl":null},{"key":"d","text":"Antitoxin","textHi":null,"imageUrl":null}],"correct":"a","sol":"One-word substitution\nAn antibody is a protein produced in the blood in response to an infection; it attacks and destroys harmful bacteria, viruses and other foreign bodies.\nThat is word-for-word the definition given, so 'Antibody' is the term asked for.\nAn antidote is a medicine taken to counteract a poison, and an antivenom is the particular antidote used against snake or insect venom - both are given from outside, not produced in the blood.\nAn antitoxin acts only on a toxin, whereas the definition speaks of fighting the bacteria and viruses themselves.\nHence option (a) is correct.","solHi":null,"pos":2,"neg":0.5},{"id":12526,"n":26,"subject":"General Intelligence","stem":"You notice a statistical error in your report, but correcting it will require reworking some charts and analysis, and may cause a slight delay in your presentation. What is the most professional course of action?","stemHi":"आपको अपनी रिपोर्ट में एक सांख्यिकीय त्रुटि दिखाई देती है, किंतु उसे ठीक करने के लिए कुछ चार्ट तथा विश्लेषण दोबारा तैयार करने होंगे और आपकी प्रस्तुति में थोड़ा विलंब हो सकता है। सबसे व्यावसायिक कार्यवाही क्या होगी?","context":null,"contextHi":null,"options":[{"key":"a","text":"Leave the error in the report and hope no one notices.","textHi":"त्रुटि को रिपोर्ट में यथावत् रहने दें और आशा करें कि किसी का ध्यान उस पर न जाए।","imageUrl":null},{"key":"b","text":"Cancel the entire report.","textHi":"पूरी रिपोर्ट रद्द कर दें।","imageUrl":null},{"key":"c","text":"Briefly acknowledge the error and present the correct data, even if it causes a slight delay.","textHi":"त्रुटि को संक्षेप में स्वीकार करें तथा सही आँकड़े प्रस्तुत करें, भले ही इससे थोड़ा विलंब हो।","imageUrl":null},{"key":"d","text":"Blame the data source for the error.","textHi":"त्रुटि के लिए आँकड़ों के स्रोत को दोषी ठहराएँ।","imageUrl":null}],"correct":"c","sol":"Professional integrity\nThe question weighs a small delay against the accuracy of what is placed before the audience.\nA report known to carry a statistical error must not be presented as it stands, because every conclusion drawn from it becomes unreliable.\nThe professional course is to acknowledge the slip briefly, rework the affected charts and analysis, and present the correct data even if the presentation slips a little.\nHiding the error (a) is plain dishonesty, scrapping the whole report (b) is a needless over-reaction to a fixable fault, and blaming the data source (d) shifts responsibility without correcting anything.\nHence option (c) is correct.","solHi":"व्यावसायिक निष्ठा\nयह प्रश्न थोड़े-से विलंब और प्रस्तुत की जाने वाली सामग्री की शुद्धता के बीच तुलना करता है।\nजिस रिपोर्ट में सांख्यिकीय त्रुटि की जानकारी हो, उसे ज्यों-का-त्यों प्रस्तुत नहीं करना चाहिए, क्योंकि उससे निकाला गया प्रत्येक निष्कर्ष अविश्वसनीय हो जाता है।\nव्यावसायिक मार्ग यही है कि भूल को संक्षेप में स्वीकार किया जाए, प्रभावित चार्ट तथा विश्लेषण दोबारा तैयार किए जाएँ और सही आँकड़े प्रस्तुत किए जाएँ, भले ही प्रस्तुति में कुछ विलंब हो।\nत्रुटि छिपाना (a) सरासर अनैतिकता है, पूरी रिपोर्ट रद्द करना (b) एक सुधार-योग्य दोष पर अनावश्यक अति-प्रतिक्रिया है, तथा स्रोत को दोषी ठहराना (d) बिना कुछ सुधारे उत्तरदायित्व टालना है।\nअतः विकल्प (c) सही है।","pos":2,"neg":0.5},{"id":12527,"n":27,"subject":"General Intelligence","stem":"A person walks 6 km north, then 3 km east, and finally 6 km south. In which direction is he from his starting point?","stemHi":"एक व्यक्ति 6 km उत्तर की ओर चलता है, फिर 3 km पूर्व की ओर और अंत में 6 km दक्षिण की ओर चलता है। वह अपने प्रारंभिक बिंदु से किस दिशा में है?","context":null,"contextHi":null,"options":[{"key":"a","text":"North","textHi":"उत्तर","imageUrl":null},{"key":"b","text":"South","textHi":"दक्षिण","imageUrl":null},{"key":"c","text":"East","textHi":"पूर्व","imageUrl":null},{"key":"d","text":"West","textHi":"पश्चिम","imageUrl":null}],"correct":"c","sol":"Direction sense\nTake the starting point as the origin and mark each move one after the other.\n $\"figure\"/$ \nThe 6 km walked north is exactly cancelled by the 6 km walked south, so the north-south displacement is 6-6=0.\nOnly the 3 km walked east remains, so the final position lies 3 km due east of the start.\nHence the person is to the east of his starting point, and option (c) is correct.","solHi":"दिशा-ज्ञान\nप्रारंभिक बिंदु को मूल बिंदु मानकर प्रत्येक चाल को क्रमशः अंकित कीजिए।\n $\"figure\"/$ \nउत्तर की ओर चली गई 6 km दूरी दक्षिण की ओर चली गई 6 km दूरी से पूर्णतः कट जाती है, अतः उत्तर-दक्षिण विस्थापन 6-6=0 है।\nकेवल पूर्व की ओर चली गई 3 km दूरी शेष रहती है, अतः अंतिम स्थिति प्रारंभ से ठीक 3 km पूर्व में है।\nअतः वह व्यक्ति अपने प्रारंभिक बिंदु के पूर्व में है, इसलिए विकल्प (c) सही है।","pos":2,"neg":0.5},{"id":12528,"n":28,"subject":"General Intelligence","stem":"Read the following statement carefully and identify the inference that follows.\nStatement: The municipal corporation has announced a complete ban on smoking at all public places in the city.\nAssumptions:\nI. People will have to avoid smoking at public places.\nII. The sale of all tobacco products will be completely banned.\nIII. This ban will have no effect on people's health.","stemHi":"निम्नलिखित कथन को ध्यानपूर्वक पढ़िए तथा उससे निकलने वाले अनुमान की पहचान कीजिए।\nकथन: नगर निगम ने शहर के सभी सार्वजनिक स्थानों पर धूम्रपान पर पूर्ण प्रतिबंध की घोषणा की है।\nपूर्वधारणाएँ:\nI. लोगों को सार्वजनिक स्थानों पर धूम्रपान से बचना होगा।\nII. सभी तंबाकू उत्पादों की बिक्री पूर्णतः प्रतिबंधित कर दी जाएगी।\nIII. इस प्रतिबंध का लोगों के स्वास्थ्य पर कोई प्रभाव नहीं पड़ेगा।","context":null,"contextHi":null,"options":[{"key":"a","text":"If only I follows","textHi":"यदि केवल I अनुसरण करता है","imageUrl":null},{"key":"b","text":"If only II follows","textHi":"यदि केवल II अनुसरण करता है","imageUrl":null},{"key":"c","text":"If both I and II follow","textHi":"यदि I तथा II दोनों अनुसरण करते हैं","imageUrl":null},{"key":"d","text":"If both I and III follow","textHi":"यदि I तथा III दोनों अनुसरण करते हैं","imageUrl":null}],"correct":"a","sol":"Statement and inference\nAn inference may use only what the statement actually says, together with what must necessarily be true if the statement is true.\nThe statement gives one fact: a complete ban on smoking at all public places in the city.\nI is that same ban stated from the citizen's side - if smoking is banned there, people must avoid smoking there - so I follows directly.\nII speaks of the sale of tobacco products; banning where a person may smoke says nothing about where tobacco may be sold, so II does not follow.\nIII claims the ban will have no effect on health, which the statement neither states nor implies - such a ban is in fact aimed at protecting health - so III does not follow.\n $\"figure\"/$ \nOnly inference I follows, so option (a) is correct.","solHi":"कथन और अनुमान\nअनुमान में केवल वही प्रयोग किया जा सकता है जो कथन वास्तव में कहता है, तथा वह जो कथन के सत्य होने पर अनिवार्यतः सत्य हो।\nकथन एक ही तथ्य देता है: शहर के सभी सार्वजनिक स्थानों पर धूम्रपान पर पूर्ण प्रतिबंध।\nI वही प्रतिबंध नागरिक की दृष्टि से कहा गया है - यदि वहाँ धूम्रपान प्रतिबंधित है, तो लोगों को वहाँ धूम्रपान से बचना ही होगा - अतः I सीधे अनुसरण करता है।\nII तंबाकू उत्पादों की बिक्री की बात करता है; कोई व्यक्ति कहाँ धूम्रपान कर सकता है, इस पर प्रतिबंध से यह तय नहीं होता कि तंबाकू कहाँ बेचा जा सकता है, अतः II अनुसरण नहीं करता।\nIII कहता है कि प्रतिबंध का स्वास्थ्य पर कोई प्रभाव नहीं पड़ेगा, जो कथन न तो कहता है और न ही इंगित करता है - ऐसा प्रतिबंध तो स्वास्थ्य की रक्षा के लिए ही लगाया जाता है - अतः III अनुसरण नहीं करता।\n $\"figure\"/$ \nकेवल अनुमान I अनुसरण करता है, इसलिए विकल्प (a) सही है।","pos":2,"neg":0.5},{"id":12529,"n":29,"subject":"General Intelligence","stem":"In the following questions some issues are provided to you. You have to mark the appropriate answer logically that can be taken in such circumstances. If your colleague becomes very stressed at the workplace due to a mistake, what would be the emotionally intelligent response?","stemHi":"नीचे दिए गए प्रश्नों में आपके समक्ष कुछ स्थितियाँ प्रस्तुत की गई हैं। आपको तार्किक रूप से वह उपयुक्त उत्तर चिह्नित करना है जो ऐसी परिस्थितियों में अपनाया जा सकता है। यदि आपका सहकर्मी किसी गलती के कारण कार्यस्थल पर अत्यधिक तनावग्रस्त हो जाता है, तो भावनात्मक रूप से बुद्धिमत्तापूर्ण प्रतिक्रिया क्या होगी?","context":null,"contextHi":null,"options":[{"key":"a","text":"Ignore what they are saying","textHi":"वे जो कह रहे हैं, उसे अनसुना कर दें","imageUrl":null},{"key":"b","text":"Criticize them in front of everyone","textHi":"सबके सामने उनकी आलोचना करें","imageUrl":null},{"key":"c","text":"Immediately blame them","textHi":"तुरंत उन्हें दोषी ठहराएँ","imageUrl":null},{"key":"d","text":"Calmly listen to them and assure your support","textHi":"शांतिपूर्वक उनकी बात सुनें तथा अपने सहयोग का आश्वासन दें","imageUrl":null}],"correct":"d","sol":"Emotional intelligence\nEmotional intelligence means recognising another person's feelings and responding in a way that steadies them.\nA colleague under stress after a mistake first needs to be heard; only a calm listener can then help him repair the error.\nSo listening patiently and assuring him of your support is the emotionally intelligent response.\nIgnoring him (a) leaves him isolated, criticising him publicly (b) humiliates him, and blaming him at once (c) adds to the pressure - none of these helps solve the problem.\nHence option (d) is correct.","solHi":"भावनात्मक बुद्धिमत्ता\nभावनात्मक बुद्धिमत्ता का अर्थ है - दूसरे व्यक्ति की भावनाओं को पहचानना तथा इस प्रकार प्रतिक्रिया देना जिससे वह संभल सके।\nगलती के बाद तनावग्रस्त सहकर्मी को सबसे पहले सुने जाने की आवश्यकता होती है; शांत श्रोता ही उसकी भूल सुधारने में सहायता कर सकता है।\nअतः धैर्यपूर्वक उसकी बात सुनना और सहयोग का आश्वासन देना ही भावनात्मक रूप से बुद्धिमत्तापूर्ण प्रतिक्रिया है।\nउसे अनसुना करना (a) उसे अकेला छोड़ देता है, सबके सामने आलोचना (b) उसे अपमानित करती है, तथा तुरंत दोष देना (c) दबाव और बढ़ाता है - इनमें से कोई भी समस्या का समाधान नहीं करता।\nइसलिए विकल्प (d) सही है।","pos":2,"neg":0.5},{"id":12530,"n":30,"subject":"General Intelligence","stem":"$2d","stemHi":"$2e","context":null,"contextHi":null,"options":[{"key":"a","text":"If only conclusion I is true","textHi":"यदि केवल निष्कर्ष I सत्य है","imageUrl":null},{"key":"b","text":"If only conclusion II is true","textHi":"यदि केवल निष्कर्ष II सत्य है","imageUrl":null},{"key":"c","text":"If either conclusion I or conclusion II is true","textHi":"यदि या तो निष्कर्ष I या निष्कर्ष II सत्य है","imageUrl":null},{"key":"d","text":"If neither conclusion I nor conclusion II is true","textHi":"यदि न तो निष्कर्ष I और न ही निष्कर्ष II सत्य है","imageUrl":null}],"correct":"c","sol":"$2f","solHi":"$30","pos":2,"neg":0.5},{"id":12531,"n":31,"subject":"General Intelligence","stem":"Find the next element that replace the ? Logically\n2, 20, 110, 560, ?","stemHi":"तर्कसंगत रूप से ? के स्थान पर आने वाला अगला पद ज्ञात कीजिए\n2, 20, 110, 560, ?","context":null,"contextHi":null,"options":[{"key":"a","text":"2815","textHi":null,"imageUrl":null},{"key":"b","text":"2810","textHi":null,"imageUrl":null},{"key":"c","text":"2805","textHi":null,"imageUrl":null},{"key":"d","text":"2905","textHi":null,"imageUrl":null}],"correct":"b","sol":"$31","solHi":"$32","pos":2,"neg":0.5},{"id":12532,"n":32,"subject":"General Intelligence","stem":"Which one of the following numbers is divisible by both 11 and 19 ?","stemHi":"निम्नलिखित में से कौन-सी संख्या 11 तथा 19 दोनों से विभाज्य है ?","context":null,"contextHi":null,"options":[{"key":"a","text":"418","textHi":null,"imageUrl":null},{"key":"b","text":"361","textHi":null,"imageUrl":null},{"key":"c","text":"419","textHi":null,"imageUrl":null},{"key":"d","text":"425","textHi":null,"imageUrl":null}],"correct":"a","sol":"$33","solHi":"$34","pos":2,"neg":0.5},{"id":12533,"n":33,"subject":"General Intelligence","stem":"Out of four words, three have something in common and one is different. Identify the different one.","stemHi":"चार शब्दों में से तीन में कोई समानता है तथा एक भिन्न है। भिन्न शब्द की पहचान कीजिए।","context":null,"contextHi":null,"options":[{"key":"a","text":"Mixer","textHi":"मिक्सर","imageUrl":null},{"key":"b","text":"Printer","textHi":"प्रिंटर","imageUrl":null},{"key":"c","text":"Scanner","textHi":"स्कैनर","imageUrl":null},{"key":"d","text":"Copy Machine","textHi":"कॉपी मशीन","imageUrl":null}],"correct":"a","sol":"Odd one out\nGroup the four items by where they are used and what they work on.\nA printer, a scanner and a copy machine are all office machines that handle documents and are normally used with a computer.\n $\"figure\"/$ \nA mixer is a kitchen appliance used to grind and blend food, so it belongs to a different family altogether.\nHence the mixer is the odd one out, and option (a) is correct.","solHi":"विषम को पहचानना\nचारों वस्तुओं को उनके उपयोग-स्थान तथा कार्य के आधार पर समूहबद्ध कीजिए।\nप्रिंटर, स्कैनर तथा कॉपी मशीन - तीनों कार्यालयी मशीनें हैं जो दस्तावेज़ों पर कार्य करती हैं और सामान्यतः कंप्यूटर के साथ प्रयोग होती हैं।\n $\"figure\"/$ \nमिक्सर एक रसोई उपकरण है जिसका उपयोग खाद्य-सामग्री पीसने तथा मिलाने में होता है, अतः यह पूर्णतः भिन्न वर्ग का है।\nअतः मिक्सर विषम है, इसलिए विकल्प (a) सही है।","pos":2,"neg":0.5},{"id":12534,"n":34,"subject":"General Intelligence","stem":"Select the correct options from the given alternatives 9284766","stemHi":"दिए गए विकल्पों में से सही विकल्प चुनिए 9284766","context":null,"contextHi":null,"options":[{"key":"a","text":"86","textHi":null,"imageUrl":null},{"key":"b","text":"81","textHi":null,"imageUrl":null},{"key":"c","text":"84","textHi":null,"imageUrl":null},{"key":"d","text":"85","textHi":null,"imageUrl":null}],"correct":"d","sol":"Number series\nThe digits given form the series

9, 28, 47, 66, ?

\nTake the difference of consecutive terms: 28-9=19, 47-28=19, 66-47=19.\n $\"figure\"/$ \nThe difference is the same throughout, so this is an arithmetic progression with common difference 19.\nTherefore the next term is 66+19=85.\nHence option (d) is correct.","solHi":"संख्या शृंखला\nदिए गए अंकों से शृंखला

9, 28, 47, 66, ?

बनती है।\nक्रमागत पदों का अंतर लीजिए: 28-9=19, 47-28=19, 66-47=19।\n $\"figure\"/$ \nअंतर सर्वत्र समान है, अतः यह 19 के सार्व अंतर वाली समांतर श्रेढ़ी है।\nइसलिए अगला पद 66+19=85 है।\nअतः विकल्प (d) सही है।","pos":2,"neg":0.5},{"id":12535,"n":35,"subject":"General Intelligence","stem":"Pick the correct options from below.\n10.5, 18, 27.5, 39, 52.5","stemHi":"नीचे दिए गए विकल्पों में से सही विकल्प चुनिए।\n10.5, 18, 27.5, 39, 52.5","context":null,"contextHi":null,"options":[{"key":"a","text":"70","textHi":null,"imageUrl":null},{"key":"b","text":"68","textHi":null,"imageUrl":null},{"key":"c","text":"66","textHi":null,"imageUrl":null},{"key":"d","text":"72.5","textHi":null,"imageUrl":null}],"correct":"b","sol":"Number series\nTake the differences of consecutive terms: 18-10.5=7.5, 27.5-18=9.5, 39-27.5=11.5, 52.5-39=13.5.\nThese differences themselves rise by 2 each time, so the next difference is 13.5+2=15.5.\n $\"figure\"/$ \nTherefore the next term is 52.5+15.5=68.\nHence option (b) is correct.","solHi":"संख्या शृंखला\nक्रमागत पदों के अंतर लीजिए: 18-10.5=7.5, 27.5-18=9.5, 39-27.5=11.5, 52.5-39=13.5।\nये अंतर स्वयं प्रत्येक बार 2 से बढ़ते हैं, अतः अगला अंतर 13.5+2=15.5 होगा।\n $\"figure\"/$ \nइसलिए अगला पद 52.5+15.5=68 है।\nअतः विकल्प (b) सही है।","pos":2,"neg":0.5},{"id":12536,"n":36,"subject":"General Intelligence","stem":"In the questions given below, there are three statements followed by three conclusions I, II and III. You have to take the three given statements to be true even if they seem to be at variance from commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follows from the three statements disregarding commonly known facts.\nStatements:\nAll mangoes are fruits.\nAll fruits are sweet.\nSome mangoes are red.\nConclusion:\nI. Some red are sweet.\nII. Some sweet are mangoes.\nIII. All mangoes are sweet.","stemHi":"नीचे दिए गए प्रश्नों में तीन कथन दिए गए हैं जिनके बाद तीन निष्कर्ष I, II तथा III दिए गए हैं। आपको तीनों कथनों को सत्य मानना है, भले ही वे सर्वज्ञात तथ्यों से भिन्न प्रतीत होते हों। सभी निष्कर्षों को पढ़िए और फिर निर्णय कीजिए कि सर्वज्ञात तथ्यों की उपेक्षा करते हुए दिए गए निष्कर्षों में से कौन-सा तीनों कथनों का तार्किक रूप से अनुसरण करता है।\nकथन:\nसभी आम फल हैं।\nसभी फल मीठे हैं।\nकुछ आम लाल हैं।\nनिष्कर्ष:\nI. कुछ लाल मीठे हैं।\nII. कुछ मीठे आम हैं।\nIII. सभी आम मीठे हैं।","context":null,"contextHi":null,"options":[{"key":"a","text":"Only conclusions II and III follow","textHi":"केवल निष्कर्ष II तथा III अनुसरण करते हैं","imageUrl":null},{"key":"b","text":"Only conclusion I follows","textHi":"केवल निष्कर्ष I अनुसरण करता है","imageUrl":null},{"key":"c","text":"Only conclusion III follows","textHi":"केवल निष्कर्ष III अनुसरण करता है","imageUrl":null},{"key":"d","text":"All the conclusions follow","textHi":"सभी निष्कर्ष अनुसरण करते हैं","imageUrl":null}],"correct":"d","sol":"Syllogism\nDraw the three statements: the mango circle lies wholly inside fruits, the fruit circle lies wholly inside sweet, and the red circle cuts the mango circle.\n $\"figure\"/$ \nEvery mango is a fruit and every fruit is sweet, so every mango is sweet - conclusion III follows.\nSince all mangoes are sweet, those mangoes are themselves sweet things, so some sweet things are mangoes - conclusion II follows as the converse of III.\nSome mangoes are red, and those very mangoes are sweet, so at least those red things are sweet - conclusion I follows.\nAll three conclusions follow, so option (d) is correct.","solHi":"न्याय निगमन\nतीनों कथनों का चित्र बनाइए: आम का वृत्त पूर्णतः फलों के भीतर है, फलों का वृत्त पूर्णतः मीठे के भीतर है, तथा लाल का वृत्त आम के वृत्त को काटता है।\n $\"figure\"/$ \nप्रत्येक आम फल है और प्रत्येक फल मीठा है, अतः प्रत्येक आम मीठा है - निष्कर्ष III अनुसरण करता है।\nचूँकि सभी आम मीठे हैं, वे आम स्वयं मीठी वस्तुएँ हैं, अतः कुछ मीठे आम हैं - निष्कर्ष II, III के विलोम रूप में अनुसरण करता है।\nकुछ आम लाल हैं, और वही आम मीठे भी हैं, अतः कम-से-कम वे लाल वस्तुएँ मीठी हैं - निष्कर्ष I अनुसरण करता है।\nतीनों निष्कर्ष अनुसरण करते हैं, इसलिए विकल्प (d) सही है।","pos":2,"neg":0.5},{"id":12537,"n":37,"subject":"General Intelligence","stem":"What comes next in the following series?\nP1, Q1, R8, S27, T125, U512, ?","stemHi":"निम्नलिखित शृंखला में आगे क्या आएगा?\nP1, Q1, R8, S27, T125, U512, ?","context":null,"contextHi":null,"options":[{"key":"a","text":"V125","textHi":null,"imageUrl":null},{"key":"b","text":"T1728","textHi":null,"imageUrl":null},{"key":"c","text":"V729","textHi":null,"imageUrl":null},{"key":"d","text":"V2197","textHi":null,"imageUrl":null}],"correct":"d","sol":"$35","solHi":"$36","pos":2,"neg":0.5},{"id":12538,"n":38,"subject":"General Intelligence","stem":"What comes next in the series?\nE, J, Q, Z, K, ?","stemHi":"शृंखला में आगे क्या आएगा?\nE, J, Q, Z, K, ?","context":null,"contextHi":null,"options":[{"key":"a","text":"X","textHi":null,"imageUrl":null},{"key":"b","text":"

Y

","textHi":null,"imageUrl":null},{"key":"c","text":"Z","textHi":null,"imageUrl":null},{"key":"d","text":"A","textHi":null,"imageUrl":null}],"correct":"a","sol":"Letter series\nWrite the alphabetical position of each letter: E = 5, J = 10, Q = 17, Z = 26.\nThe jumps are

+ 5, + 7, + 9

, growing by 2 each time, so the next jump is +11, giving 26+11=37.\nThe alphabet has only 26 letters, so continue counting cyclically: 37-26=11, and the 11th letter is K - exactly the fifth term given.\n $\"figure\"/$ \nThe following jump must be +13, so from 37 we reach 37+13=50, and 50-26=24.\nThe 24th letter is X, so option (a) is correct.","solHi":"अक्षर शृंखला\nप्रत्येक अक्षर का वर्णमाला-क्रमांक लिखिए: E = 5, J = 10, Q = 17, Z = 26।\nछलाँगें

+ 5, + 7, + 9

हैं, जो प्रत्येक बार 2 से बढ़ रही हैं, अतः अगली छलाँग +11 होगी, जिससे 26+11=37 प्राप्त होता है।\nवर्णमाला में केवल 26 अक्षर हैं, अतः चक्रीय रूप से गिनते रहिए: 37-26=11, और 11वाँ अक्षर K है - ठीक वही पाँचवाँ पद जो दिया गया है।\n $\"figure\"/$ \nइसके बाद की छलाँग +13 होगी, अतः 37 से 37+13=50 तक पहुँचते हैं, और 50-26=24।\n24वाँ अक्षर X है, इसलिए विकल्प (a) सही है।","pos":2,"neg":0.5},{"id":12539,"n":39,"subject":"General Intelligence","stem":"An officer reports violations of rules in your organization but does not fully follow some internal guidelines while reporting. What should you do?","stemHi":"आपके संगठन में एक अधिकारी नियमों के उल्लंघन की सूचना देता है, किंतु सूचना देते समय वह कुछ आंतरिक दिशा-निर्देशों का पूर्णतः पालन नहीं करता। आपको क्या करना चाहिए?","context":null,"contextHi":null,"options":[{"key":"a","text":"Take strict action against him for not following the rules","textHi":"नियमों का पालन न करने के लिए उसके विरुद्ध कठोर कार्यवाही करें","imageUrl":null},{"key":"b","text":"Praise him without any verification","textHi":"बिना किसी सत्यापन के उसकी प्रशंसा करें","imageUrl":null},{"key":"c","text":"Protect his identity and conduct a fair and impartial investigation","textHi":"उसकी पहचान गुप्त रखें तथा निष्पक्ष एवं पक्षपातरहित जाँच कराएँ","imageUrl":null},{"key":"d","text":"Remove him from the post without giving any warning","textHi":"बिना कोई चेतावनी दिए उसे पद से हटा दें","imageUrl":null}],"correct":"c","sol":"Administrative ethics\nSeparate the two issues: the substance of the report - a violation of rules - and the form in which it was made.\nA procedural lapse in the manner of reporting must not be allowed to bury a genuine complaint, and the person who reports must be protected from retaliation.\nSo the correct step is to keep his identity confidential and have the allegation examined by a fair and impartial enquiry, which will also test whether it is true.\nTaking strict action against him (a) or removing him (d) punishes honest reporting and discourages others, while praising him without verification (b) accepts an unproven charge.\nHence option (c) is correct.","solHi":"प्रशासनिक नैतिकता\nदो बातों को अलग कीजिए: सूचना का सार - नियमों का उल्लंघन - तथा वह रूप जिसमें सूचना दी गई।\nसूचना देने की प्रक्रिया में हुई चूक के कारण किसी वास्तविक शिकायत को दबाया नहीं जाना चाहिए, तथा सूचना देने वाले को प्रतिशोध से सुरक्षा मिलनी चाहिए।\nअतः उचित कदम यही है कि उसकी पहचान गोपनीय रखी जाए और आरोप की निष्पक्ष एवं पक्षपातरहित जाँच कराई जाए, जिससे उसकी सत्यता भी परख ली जाएगी।\nउसके विरुद्ध कठोर कार्यवाही (a) अथवा उसे पद से हटाना (d) ईमानदार सूचना देने को दंडित करता है और दूसरों को हतोत्साहित करता है, जबकि बिना सत्यापन प्रशंसा (b) अप्रमाणित आरोप को स्वीकार कर लेना है।\nइसलिए विकल्प (c) सही है।","pos":2,"neg":0.5},{"id":12540,"n":40,"subject":"General Intelligence","stem":"If @ means "first × second + first", and # means "first + second × second", then what is 5 @ 2 # 3 ?","stemHi":"यदि @ का अर्थ "पहली × दूसरी + पहली" है तथा # का अर्थ "पहली + दूसरी × दूसरी" है, तो 5 @ 2 # 3 का मान क्या होगा ?","context":null,"contextHi":null,"options":[{"key":"a","text":"18","textHi":null,"imageUrl":null},{"key":"b","text":"20","textHi":null,"imageUrl":null},{"key":"c","text":"22","textHi":null,"imageUrl":null},{"key":"d","text":"24","textHi":null,"imageUrl":null}],"correct":"d","sol":"Symbol operations\nThe two defined operations are applied one after the other, working from left to right.\nThe rule for @ is 'first × second + first', so 5 @ 2 gives

5 \times 2 + 5 = 10 + 5 = 15

.\nThis 15 now becomes the 'first' number for the next operation.\nThe rule for # is 'first + second × second', so 15 # 3 gives

15 + 3 \times 3 = 15 + 9 = 24

.\n $\"figure\"/$ \nHence the value of 5 @ 2 # 3 is 24, and option (d) is correct.","solHi":"प्रतीक संक्रियाएँ\nदोनों परिभाषित संक्रियाएँ बाएँ से दाएँ क्रम में एक के बाद एक लगाई जाती हैं।\n@ का नियम है 'पहली × दूसरी + पहली', अतः 5 @ 2 से प्राप्त होता है

5 \times 2 + 5 = 10 + 5 = 15

।\nअब यह 15 अगली संक्रिया के लिए 'पहली' संख्या बन जाती है।\n# का नियम है 'पहली + दूसरी × दूसरी', अतः 15 # 3 से प्राप्त होता है

15 + 3 \times 3 = 15 + 9 = 24

।\n $\"figure\"/$ \nअतः 5 @ 2 # 3 का मान 24 है, इसलिए विकल्प (d) सही है।","pos":2,"neg":0.5},{"id":12541,"n":41,"subject":"General Intelligence","stem":"If:

+ \to x, - \to +, x \to +, / \to -

Then find the result of:

48 \times 4 + 20 / 5 - 6 =

?","stemHi":"यदि:

+ \to x, - \to +, x \to +, / \to -

तो निम्नलिखित का परिणाम ज्ञात कीजिए:

48 \times 4 + 20 / 5 - 6 =

?","context":null,"contextHi":null,"options":[{"key":"a","text":"247","textHi":null,"imageUrl":null},{"key":"b","text":"235","textHi":null,"imageUrl":null},{"key":"c","text":"241","textHi":null,"imageUrl":null},{"key":"d","text":"253","textHi":null,"imageUrl":null}],"correct":"c","sol":"$37","solHi":"$38","pos":2,"neg":0.5},{"id":12542,"n":42,"subject":"General Intelligence","stem":"A company implements flexible working hours in the office to increase employee productivity. Which of the following is the most logical assumption behind this decision?","stemHi":"एक कंपनी कर्मचारियों की उत्पादकता बढ़ाने के लिए कार्यालय में लचीले कार्य-घंटे लागू करती है। इस निर्णय के पीछे निम्नलिखित में से कौन-सी सबसे तार्किक पूर्वधारणा है?","context":null,"contextHi":null,"options":[{"key":"a","text":"Employees do not like working at a fixed time in the office.","textHi":"कर्मचारियों को कार्यालय में नियत समय पर काम करना पसंद नहीं है।","imageUrl":null},{"key":"b","text":"Flexible working hours improve employee productivity and satisfaction.","textHi":"लचीले कार्य-घंटे कर्मचारियों की उत्पादकता और संतुष्टि को बढ़ाते हैं।","imageUrl":null},{"key":"c","text":"The company wants to reduce electricity and resource costs.","textHi":"कंपनी बिजली और संसाधनों की लागत कम करना चाहती है।","imageUrl":null},{"key":"d","text":"Employees are more productive in the evening.","textHi":"कर्मचारी शाम के समय अधिक उत्पादक होते हैं।","imageUrl":null}],"correct":"b","sol":"Statement and assumption\nAn assumption is the unstated belief that the decision-maker must already hold for the action to make sense.\nHere the action is the introduction of flexible working hours and the stated purpose is a rise in employee productivity.\n $\"figure\"/$ \nThe company can expect that rise only if it takes for granted that flexible hours really do raise productivity and satisfaction, which is exactly what option (b) states.\nOptions (a) and (d) add fresh claims about what employees like or when they work best, and option (c) speaks of saving cost, a purpose the statement never mentions.","solHi":"कथन और पूर्वधारणा\nपूर्वधारणा वह अकथित मान्यता होती है, जिसे निर्णय लेने वाले को पहले से सत्य मानना ही पड़ता है, तभी उसकी कार्यवाही सार्थक होती है।\nयहाँ कार्यवाही है लचीले कार्य-घंटे लागू करना और घोषित उद्देश्य है कर्मचारियों की उत्पादकता में वृद्धि।\n $\"figure\"/$ \nकंपनी यह वृद्धि तभी अपेक्षित कर सकती है जब वह यह मानकर चले कि लचीले कार्य-घंटे वास्तव में उत्पादकता और संतुष्टि बढ़ाते हैं — यही बात विकल्प (b) कहता है।\nविकल्प (a) तथा (d) कर्मचारियों की पसंद या उनके सर्वाधिक उत्पादक समय के बारे में नई बातें जोड़ते हैं और विकल्प (c) लागत बचाने की बात करता है, जिसका कथन में कोई उल्लेख नहीं है।","pos":2,"neg":0.5},{"id":12543,"n":43,"subject":"General Intelligence","stem":"Choose the related word from the given alternatives Glaucoma : ? : : Nephritis : Kidney","stemHi":"दिए गए विकल्पों में से संबंधित शब्द चुनिए। Glaucoma : ? : : Nephritis : Kidney","context":null,"contextHi":null,"options":[{"key":"a","text":"Eye","textHi":null,"imageUrl":null},{"key":"b","text":"Liber","textHi":null,"imageUrl":null},{"key":"c","text":"Ear","textHi":null,"imageUrl":null},{"key":"d","text":"Heart","textHi":null,"imageUrl":null}],"correct":"a","sol":"Disease and organ\nEach pair joins a disease with the organ of the body that the disease attacks.\nNephritis is the inflammation of the kidney, so the second term of the pair names the affected organ.\nGlaucoma is caused by a rise of fluid pressure inside the eyeball, which damages the optic nerve, so the organ affected is the eye.\n $\"figure\"/$ \nThe liver is attacked by hepatitis and the ear by otitis, so options (b), (c) and (d) do not go with glaucoma.","solHi":"रोग और संबंधित अंग\nप्रत्येक युग्म में एक रोग को उस अंग से जोड़ा गया है, जिस पर वह रोग आक्रमण करता है।\nNephritis गुर्दे (Kidney) की सूजन है, अतः युग्म का दूसरा पद प्रभावित अंग बताता है।\nGlaucoma नेत्रगोलक के भीतर द्रव-दाब बढ़ने से होता है, जिससे दृक् तंत्रिका को क्षति पहुँचती है, अतः इसमें प्रभावित अंग आँख (Eye) है।\n $\"figure\"/$ \nयकृत (Liver) पर Hepatitis तथा कान पर Otitis आक्रमण करता है, अतः विकल्प (b), (c) और (d) Glaucoma के साथ संगत नहीं हैं।","pos":2,"neg":0.5},{"id":12544,"n":44,"subject":"General Intelligence","stem":"Choose the related word from the given alternatives ? : Measure :: Weighing scale : Weigh","stemHi":"दिए गए विकल्पों में से संबंधित शब्द चुनिए। ? : Measure :: Weighing scale : Weigh","context":null,"contextHi":null,"options":[{"key":"a","text":"Thermometer","textHi":null,"imageUrl":null},{"key":"b","text":"Clock","textHi":null,"imageUrl":null},{"key":"c","text":"Camera","textHi":null,"imageUrl":null},{"key":"d","text":"Microphone","textHi":null,"imageUrl":null}],"correct":"a","sol":"Instrument and function\nEach pair joins an instrument with the work that the instrument is used to do.\nA weighing scale is the instrument used to weigh a body, so the first term must be an instrument and the second the action it performs.\nThe instrument used to measure temperature is the thermometer, so 'Thermometer : Measure' repeats the same relation.\n $\"figure\"/$ \nA clock shows the time, a camera takes photographs and a microphone picks up sound, so none of them is described by the word 'measure'.","solHi":"उपकरण और उसका कार्य\nप्रत्येक युग्म में एक उपकरण को उस कार्य से जोड़ा गया है, जिसके लिए वह उपकरण प्रयोग किया जाता है।\nWeighing scale वह उपकरण है जिससे किसी वस्तु का भार तोला (Weigh) जाता है, अतः पहला पद उपकरण और दूसरा पद उसका कार्य है।\nतापमान मापने (Measure) के लिए प्रयुक्त उपकरण Thermometer है, अतः 'Thermometer : Measure' वही संबंध दोहराता है।\n $\"figure\"/$ \nClock समय दिखाती है, Camera चित्र लेता है और Microphone ध्वनि ग्रहण करता है, अतः इनमें से किसी का कार्य 'Measure' शब्द से नहीं बताया जाता।","pos":2,"neg":0.5},{"id":12545,"n":45,"subject":"General Intelligence","stem":"In a certain coding system, 'bright sun gives light' is coded as 'kmp, rst, qwe, nbt. 'moon gives bright night' is coded as 'zxc, qwe, kmp, asd' and 'sun brings light night' is coded as 'rst, yui, nbt, asd'. How will 'bright sun night brings' be coded in this coding system?","stemHi":"एक निश्चित कूट भाषा में 'bright sun gives light' को 'kmp, rst, qwe, nbt' लिखा जाता है, 'moon gives bright night' को 'zxc, qwe, kmp, asd' लिखा जाता है तथा 'sun brings light night' को 'rst, yui, nbt, asd' लिखा जाता है। इसी कूट भाषा में 'bright sun night brings' को किस प्रकार लिखा जाएगा?","context":null,"contextHi":null,"options":[{"key":"a","text":"kmp, rst, asd, yui","textHi":null,"imageUrl":null},{"key":"b","text":"rst, kmp, yui, nbt","textHi":null,"imageUrl":null},{"key":"c","text":"kmp, qwe, asd, rst","textHi":null,"imageUrl":null},{"key":"d","text":"yui, asd, kmp, qwe","textHi":null,"imageUrl":null}],"correct":"a","sol":"Coded sentences\nTake the sentences two at a time: a word common to two sentences must carry the code common to their two code groups.\nSentences 2 and 3 have only 'night' in common and only asd in common, so night = asd.\nSentences 1 and 3 share 'sun' and 'light' against the codes rst and nbt, so the word left in sentence 3, 'brings', must take the code left over, yui.\nSentences 1 and 2 share 'gives' and 'bright' against the codes qwe and kmp, so bright is one of kmp and qwe; the code left in sentence 2, zxc, stands for moon.\n $\"figure\"/$ \nSo 'bright sun night brings' needs one code out of kmp and qwe, one out of rst and nbt, and then asd and yui.\nOnly option (a) — kmp, rst, asd, yui — satisfies all four requirements together.","solHi":"कूट भाषा (वाक्य)\nवाक्यों को दो-दो करके लीजिए: दो वाक्यों में उभयनिष्ठ शब्द का कूट भी उन दोनों कूट-समूहों में उभयनिष्ठ कूट ही होगा।\nवाक्य 2 तथा 3 में केवल 'night' उभयनिष्ठ है और केवल asd उभयनिष्ठ है, अतः night = asd।\nवाक्य 1 तथा 3 में 'sun' और 'light' उभयनिष्ठ हैं, जिनके कूट rst तथा nbt हैं; अतः वाक्य 3 का शेष शब्द 'brings' शेष बचे कूट yui को लेगा।\nवाक्य 1 तथा 2 में 'gives' और 'bright' उभयनिष्ठ हैं, जिनके कूट qwe तथा kmp हैं; अतः bright का कूट kmp या qwe है और वाक्य 2 का शेष कूट zxc, moon के लिए है।\n $\"figure\"/$ \nअतः 'bright sun night brings' के लिए kmp/qwe में से एक, rst/nbt में से एक तथा asd और yui चाहिए।\nकेवल विकल्प (a) — kmp, rst, asd, yui — इन चारों शर्तों को एक साथ पूरा करता है।","pos":2,"neg":0.5},{"id":12546,"n":46,"subject":"General Intelligence","stem":"Identify the pattern in the following sequence.\n4, 18, 48, 100, 180\nWhat is the next number in the sequence?","stemHi":"निम्नलिखित शृंखला में प्रयुक्त प्रतिरूप पहचानिए।\n4, 18, 48, 100, 180\nशृंखला की अगली संख्या क्या होगी?","context":null,"contextHi":null,"options":[{"key":"a","text":"294","textHi":null,"imageUrl":null},{"key":"b","text":"288","textHi":null,"imageUrl":null},{"key":"c","text":"292","textHi":null,"imageUrl":null},{"key":"d","text":"298","textHi":null,"imageUrl":null}],"correct":"a","sol":"$39","solHi":"$3a","pos":2,"neg":0.5},{"id":12547,"n":47,"subject":"General Intelligence","stem":"Select the option that is related to the fifth number in the same way as the second number is related to the first number and fourth number is related to third number.\n(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits. E.g. 13 - Operations on 13 such as adding /subtracting /multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed)\n421 : 2521 :: 272 : 1627 :: 763 : ?","stemHi":"उस विकल्प का चयन कीजिए जो पाँचवीं संख्या से उसी प्रकार संबंधित है, जिस प्रकार दूसरी संख्या पहली संख्या से तथा चौथी संख्या तीसरी संख्या से संबंधित है।\n(ध्यान दें: संक्रियाएँ पूर्ण संख्याओं पर की जानी चाहिए, संख्याओं को उनके घटक अंकों में तोड़े बिना। उदा. 13 - 13 पर जोड़ने/घटाने/गुणा करने आदि जैसी संक्रियाएँ की जा सकती हैं। 13 को 1 और 3 में तोड़कर 1 और 3 पर गणितीय संक्रियाएँ करने की अनुमति नहीं है।)\n421 : 2521 :: 272 : 1627 :: 763 : ?","context":null,"contextHi":null,"options":[{"key":"a","text":"4569","textHi":null,"imageUrl":null},{"key":"b","text":"4573","textHi":null,"imageUrl":null},{"key":"c","text":"4575","textHi":null,"imageUrl":null},{"key":"d","text":"4582","textHi":null,"imageUrl":null}],"correct":"b","sol":"Number analogy\nCompare the two complete pairs and look for one operation that turns the first number into the second.\n

421 \times 6 = 2526

and 2526-5=2521.\n

272 \times 6 = 1632

and 1632-5=1627.\nSo the rule is: second number =(first number

\times 6) - 5

.\n $\"figure\"/$ \nApplying it to 763:

763 \times 6 = 4578

and 4578-5=4573.","solHi":"संख्या सादृश्य\nदोनों पूर्ण युग्मों की तुलना कीजिए और ऐसी एक संक्रिया खोजिए जो पहली संख्या को दूसरी संख्या में बदल दे।\n

421 \times 6 = 2526

तथा 2526-5=2521।\n

272 \times 6 = 1632

तथा 1632-5=1627।\nअतः नियम है: दूसरी संख्या =(पहली संख्या

\times 6) - 5

।\n $\"figure\"/$ \nइसे 763 पर लगाने पर:

763 \times 6 = 4578

तथा 4578-5=4573।","pos":2,"neg":0.5},{"id":12548,"n":48,"subject":"General Intelligence","stem":"Select the option that is related to the sixth number in the same way as the first number is related to the second number and third number is related to fourth number. (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits. E.g. 13 - Operations on 13 such as adding /subtracting /multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed) 3378 : 560 :: 1446 : 238 :: ? : 324","stemHi":"उस विकल्प का चयन कीजिए जो छठी संख्या से उसी प्रकार संबंधित है, जिस प्रकार पहली संख्या दूसरी संख्या से तथा तीसरी संख्या चौथी संख्या से संबंधित है। (ध्यान दें: संक्रियाएँ पूर्ण संख्याओं पर की जानी चाहिए, संख्याओं को उनके घटक अंकों में तोड़े बिना। उदा. 13 - 13 पर जोड़ने/घटाने/गुणा करने आदि जैसी संक्रियाएँ की जा सकती हैं। 13 को 1 और 3 में तोड़कर 1 और 3 पर गणितीय संक्रियाएँ करने की अनुमति नहीं है।) 3378 : 560 :: 1446 : 238 :: ? : 324","context":null,"contextHi":null,"options":[{"key":"a","text":"1962","textHi":null,"imageUrl":null},{"key":"b","text":"1960","textHi":null,"imageUrl":null},{"key":"c","text":"1964","textHi":null,"imageUrl":null},{"key":"d","text":"1969","textHi":null,"imageUrl":null}],"correct":"a","sol":"$3b","solHi":"संख्या सादृश्य\nयहाँ दाईं ओर लिखी छोटी संख्या को बाईं ओर लिखी बड़ी संख्या में बदलना है।\n

560 \times 6 = 3360

तथा 3360+18=3378।\n

238 \times 6 = 1428

तथा 1428+18=1446।\nअतः नियम है: पहली संख्या =(दूसरी संख्या

\times 6) + 18

।\n $\"figure\"/$ \nअतः अभीष्ट संख्या

= 324 \times 6 + 18 = 1944 + 18 = 1962

।","pos":2,"neg":0.5},{"id":12549,"n":49,"subject":"General Intelligence","stem":"In the following question, four letter-number pairs are given. The letter-number on the left side of (-) is related to the letter-number on the right side of (-) with some Logic/Rule/Relation. Select the odd one out from the given alternatives.\n(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits. E.g. 13 - Operations on 13 such as adding /subtracting /multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed)","stemHi":"निम्नलिखित प्रश्न में चार अक्षर-संख्या युग्म दिए गए हैं। (-) के बाईं ओर की अक्षर-संख्या, (-) के दाईं ओर की अक्षर-संख्या से किसी तर्क/नियम/संबंध द्वारा संबंधित है। दिए गए विकल्पों में से असंगत को चुनिए।\n(ध्यान दें: संक्रियाएँ पूर्ण संख्याओं पर की जानी चाहिए, संख्याओं को उनके घटक अंकों में तोड़े बिना। उदा. 13 - 13 पर जोड़ने/घटाने/गुणा करने आदि जैसी संक्रियाएँ की जा सकती हैं। 13 को 1 और 3 में तोड़कर 1 और 3 पर गणितीय संक्रियाएँ करने की अनुमति नहीं है।)","context":null,"contextHi":null,"options":[{"key":"a","text":"PK 11 - ME120","textHi":null,"imageUrl":null},{"key":"b","text":"QY13 - NS170","textHi":null,"imageUrl":null},{"key":"c","text":"GN17 - DH288","textHi":null,"imageUrl":null},{"key":"d","text":"OI 15-LC224","textHi":null,"imageUrl":null}],"correct":"b","sol":"$3c","solHi":"$3d","pos":2,"neg":0.5},{"id":12550,"n":50,"subject":"General Intelligence","stem":"A word has been given in the question. This word CAN be formed by using the letters of the word given in one of the alternatives only. Select that alternative.\nPLANE","stemHi":"प्रश्न में एक शब्द दिया गया है। यह शब्द केवल एक विकल्प में दिए गए शब्द के अक्षरों का प्रयोग करके बनाया जा सकता है। उस विकल्प का चयन कीजिए।\nPLANE","context":null,"contextHi":null,"options":[{"key":"a","text":"PANELT","textHi":null,"imageUrl":null},{"key":"b","text":"LEAN","textHi":null,"imageUrl":null},{"key":"c","text":"APPLE","textHi":null,"imageUrl":null},{"key":"d","text":"NAPKIN","textHi":null,"imageUrl":null}],"correct":"a","sol":"Word formation\nPLANE needs the five letters P, L, A, N and E, one of each.\nPANELT is made of P, A, N, E, L and T, so every letter of PLANE is available in it and the extra T is simply not used.\n $\"figure\"/$ \nLEAN has no P, APPLE has no N, and NAPKIN has neither L nor E, so PLANE cannot be formed from them.","solHi":"शब्द निर्माण\nPLANE बनाने के लिए P, L, A, N तथा E — ये पाँच अक्षर, प्रत्येक एक बार, चाहिए।\nPANELT में P, A, N, E, L तथा T हैं, अतः PLANE का प्रत्येक अक्षर इसमें उपलब्ध है और अतिरिक्त T का प्रयोग नहीं किया जाता।\n $\"figure\"/$ \nLEAN में P नहीं है, APPLE में N नहीं है तथा NAPKIN में न L है और न E, अतः इनसे PLANE नहीं बनाया जा सकता।","pos":2,"neg":0.5},{"id":12551,"n":51,"subject":"Quantitative Aptitude","stem":"A person earns 90,000 per month. He spends

\frac{4}{5}

on essentials,

\frac{1}{9}

on rent, and saves the rest. What is his saving ?","stemHi":"एक व्यक्ति प्रति माह 90,000 कमाता है। वह

\frac{4}{5}

भाग आवश्यक वस्तुओं पर तथा

\frac{1}{9}

भाग किराए पर व्यय करता है और शेष की बचत करता है। उसकी बचत कितनी है?","context":null,"contextHi":null,"options":[{"key":"a","text":"8,000","textHi":null,"imageUrl":null},{"key":"b","text":"10,000","textHi":null,"imageUrl":null},{"key":"c","text":"10,500","textHi":null,"imageUrl":null},{"key":"d","text":"9,500","textHi":null,"imageUrl":null}],"correct":"a","sol":"$3e","solHi":"$3f","pos":2,"neg":0.5},{"id":12552,"n":52,"subject":"Quantitative Aptitude","stem":"A trader has two types of rice: one at Rs.40/kg and another at Rs.60/kg. In what ratio should they be mixed to sell the mixture at Rs.50/kg without gain or loss?","stemHi":"एक व्यापारी के पास दो प्रकार के चावल हैं: एक Rs.40/kg वाला तथा दूसरा Rs.60/kg वाला। बिना लाभ या हानि के मिश्रण को Rs.50/kg पर बेचने के लिए उन्हें किस अनुपात में मिलाया जाना चाहिए?","context":null,"contextHi":null,"options":[{"key":"a","text":"1 : 1","textHi":null,"imageUrl":null},{"key":"b","text":"2 : 1","textHi":null,"imageUrl":null},{"key":"c","text":"

3 : 2

","textHi":null,"imageUrl":null},{"key":"d","text":"

1 : 2

","textHi":null,"imageUrl":null}],"correct":"a","sol":"Alligation of prices\nSelling the mixture at ₹50 per kg with neither gain nor loss means the cost price of the mixture is also ₹50 per kg.\nBy the rule of alligation, quantity of cheaper : quantity of dearer =(dearer price - mean price

) : (

mean price - cheaper price).\n $\"figure\"/$ \nRatio =(60-50):(50-40)=10:10=1:1.\nSo the two varieties must be mixed in the ratio 1:1.","solHi":"मूल्यों का मिश्रण\nबिना लाभ-हानि के मिश्रण को ₹50 प्रति kg पर बेचने का अर्थ है कि मिश्रण का क्रय मूल्य भी ₹50 प्रति kg है।\nमिश्रण नियम से, सस्ते की मात्रा : महँगे की मात्रा =(महँगे का मूल्य - माध्य मूल्य

) : (

माध्य मूल्य - सस्ते का मूल्य)।\n $\"figure\"/$ \nअनुपात =(60-50):(50-40)=10:10=1:1।\nअतः दोनों प्रकार के चावल 1:1 के अनुपात में मिलाए जाने चाहिए।","pos":2,"neg":0.5},{"id":12553,"n":53,"subject":"Quantitative Aptitude","stem":"CI on ₹3000 for 1 year at 10% p.a. is:","stemHi":"₹3000 पर 10% वार्षिक दर से 1 वर्ष का चक्रवृद्धि ब्याज है:","context":null,"contextHi":null,"options":[{"key":"a","text":"₹300","textHi":null,"imageUrl":null},{"key":"b","text":"₹310","textHi":null,"imageUrl":null},{"key":"c","text":"₹390","textHi":null,"imageUrl":null},{"key":"d","text":"₹380","textHi":null,"imageUrl":null}],"correct":"a","sol":"Compound interest\nFor a period of one year the interest is added only once, so the compound interest is exactly the same as the simple interest.\nAmount

= 3000 {(1 + \frac{10}{100})}^{1} = 3000 \times \frac{11}{10} = 3300

.\nCI=3300-3000=300.\nHence the compound interest is ₹300.","solHi":"चक्रवृद्धि ब्याज\nएक वर्ष की अवधि में ब्याज केवल एक ही बार जोड़ा जाता है, अतः चक्रवृद्धि ब्याज साधारण ब्याज के बराबर ही होता है।\nमिश्रधन

= 3000 {(1 + \frac{10}{100})}^{1} = 3000 \times \frac{11}{10} = 3300

।\nCI=3300-3000=300।\nअतः चक्रवृद्धि ब्याज ₹300 है।","pos":2,"neg":0.5},{"id":12554,"n":54,"subject":"Quantitative Aptitude","stem":"A robot moves diagonally inside a rectangular box of dimensions

5 m \times 12

m \times 13 m

, from one bottom corner to the opposite top corner. What is the shortest distance travelled by the robot?","stemHi":"एक रोबोट

5 m \times 12

m \times 13 m

विमाओं वाले एक आयताकार बक्से के अंदर एक निचले कोने से विपरीत ऊपरी कोने तक विकर्ण दिशा में चलता है। रोबोट द्वारा तय की गई न्यूनतम दूरी कितनी है?","context":null,"contextHi":null,"options":[{"key":"a","text":"18.38 m","textHi":null,"imageUrl":null},{"key":"b","text":"19.38 m","textHi":null,"imageUrl":null},{"key":"c","text":"20.08 m","textHi":null,"imageUrl":null},{"key":"d","text":"21.28 m","textHi":null,"imageUrl":null}],"correct":"a","sol":"$40","solHi":"$41","pos":2,"neg":0.5},{"id":12555,"n":55,"subject":"Quantitative Aptitude","stem":"Rational number × Irrational number = ?","stemHi":"परिमेय संख्या × अपरिमेय संख्या = ?","context":null,"contextHi":null,"options":[{"key":"a","text":"Always rational","textHi":"सदैव परिमेय","imageUrl":null},{"key":"b","text":"Always irrational","textHi":"सदैव अपरिमेय","imageUrl":null},{"key":"c","text":"Either rational or irrational","textHi":"परिमेय या अपरिमेय","imageUrl":null},{"key":"d","text":"Integer solution","textHi":"पूर्णांक हल","imageUrl":null}],"correct":"c","sol":"Rational and irrational numbers\nA non-zero rational number times an irrational number is always irrational, for example

3 \times \sqrt{2} = 3 \sqrt{2}

.\nBut zero is itself a rational number, and

0 \times \sqrt{2} = 0

, which is rational.\n $\"figure\"/$ \nSince both outcomes are possible, the product is not always of one kind; it may be rational or irrational.","solHi":"परिमेय और अपरिमेय संख्याएँ\nशून्येतर परिमेय संख्या और अपरिमेय संख्या का गुणनफल सदैव अपरिमेय होता है, जैसे

3 \times \sqrt{2} = 3 \sqrt{2}

।\nकिंतु शून्य स्वयं एक परिमेय संख्या है और

0 \times \sqrt{2} = 0

है, जो परिमेय है।\n $\"figure\"/$ \nचूँकि दोनों स्थितियाँ संभव हैं, अतः गुणनफल सदैव एक ही प्रकार का नहीं होता; वह परिमेय या अपरिमेय हो सकता है।","pos":2,"neg":0.5},{"id":12556,"n":56,"subject":"Quantitative Aptitude","stem":"A shopkeeper sold 40% of his goods at a profit of 25% and the remaining goods at a loss of

10 %

. If his overall gain was ₹150, find the total cost price of the goods.","stemHi":"एक दुकानदार ने अपने माल का 40% भाग 25% लाभ पर तथा शेष माल

10 %

की हानि पर बेचा। यदि उसका कुल लाभ ₹150 था, तो माल का कुल क्रय मूल्य ज्ञात कीजिए।","context":null,"contextHi":null,"options":[{"key":"a","text":"₹3740","textHi":null,"imageUrl":null},{"key":"b","text":"₹3750","textHi":null,"imageUrl":null},{"key":"c","text":"₹3800","textHi":null,"imageUrl":null},{"key":"d","text":"₹3900","textHi":null,"imageUrl":null}],"correct":"b","sol":"$42","solHi":"$43","pos":2,"neg":0.5},{"id":12557,"n":57,"subject":"Quantitative Aptitude","stem":"In a triangular steel frame, points

P (1, 1), Q (5, 1)

, and

R (3, 7)

form a triangle. A vertical load acts at the centroid. What is the distance from vertex R to the centroid?","stemHi":"एक त्रिभुजाकार इस्पात फ्रेम में बिंदु

P (1, 1), Q (5, 1)

, तथा

R (3, 7)

एक त्रिभुज बनाते हैं। केंद्रक पर एक ऊर्ध्वाधर भार कार्य करता है। शीर्ष R से केंद्रक की दूरी कितनी है?","context":null,"contextHi":null,"options":[{"key":"a","text":"5 unit","textHi":null,"imageUrl":null},{"key":"b","text":"3 unit","textHi":null,"imageUrl":null},{"key":"c","text":"4 unit","textHi":null,"imageUrl":null},{"key":"d","text":"6 unit","textHi":null,"imageUrl":null}],"correct":"c","sol":"$44","solHi":"$45","pos":2,"neg":0.5},{"id":12558,"n":58,"subject":"Quantitative Aptitude","stem":"A group of 8 students appeared for a chemistry test. The average of the top 4 scores was 88.5 , and the average of the bottom 4 scores was 74. Later, it was found that a decimal error had occurred, and one of the scores from the bottom half was recorded as 71.2 instead of 91.2. What is the corrected overall average of the group?","stemHi":"8 विद्यार्थियों के एक समूह ने रसायन विज्ञान की एक परीक्षा दी। शीर्ष 4 अंकों का औसत 88.5 था तथा निचले 4 अंकों का औसत 74 था। बाद में पता चला कि दशमलव की एक त्रुटि हो गई थी और निचले आधे भाग के अंकों में से एक अंक 91.2 के स्थान पर 71.2 दर्ज कर लिया गया था। समूह का संशोधित कुल औसत क्या है?","context":null,"contextHi":null,"options":[{"key":"a","text":"83.75","textHi":null,"imageUrl":null},{"key":"b","text":"79.95","textHi":null,"imageUrl":null},{"key":"c","text":"82.00","textHi":null,"imageUrl":null},{"key":"d","text":"80.87","textHi":null,"imageUrl":null}],"correct":"a","sol":"Average with correction\nSum of the top 4 scores

= 4 \times 88.5 = 354

.\nSum of the bottom 4 scores as recorded

= 4 \times 74 = 296

.\nOne score was written as 71.2 instead of 91.2, so the sum has to be raised by 91.2-71.2=20.\nCorrected sum of the bottom 4=296+20=316.\n $\"figure\"/$ \nCorrected total of all 8 scores =354+316=670.\nCorrected average

= \frac{670}{8} = 83.75

.","solHi":"औसत में संशोधन\nशीर्ष 4 अंकों का योग

= 4 \times 88.5 = 354

।\nनिचले 4 अंकों का दर्ज योग

= 4 \times 74 = 296

।\nएक अंक 91.2 के स्थान पर 71.2 लिखा गया, अतः योग में 91.2-71.2=20 जोड़ना होगा।\nनिचले 4 अंकों का संशोधित योग =296+20=316।\n $\"figure\"/$ \nआठों अंकों का संशोधित योग =354+316=670।\nसंशोधित औसत

= \frac{670}{8} = 83.75

।","pos":2,"neg":0.5},{"id":12559,"n":59,"subject":"Quantitative Aptitude","stem":"A carpenter makes a solid wooden beam in the shape of a right prism whose base is a right-angled triangle. The perpendicular sides of the triangular base measure 0.5 m and 1.2 m . The length of the beam is 3.6 m .If the density of the wood is

0.80 g / {cm}^{3}

, find the mass of the beam in kilograms.(Give your answer correct to two decimal places.)","stemHi":"एक बढ़ई एक ठोस लकड़ी का शहतीर बनाता है, जो एक लंब प्रिज़्म के आकार का है और जिसका आधार एक समकोण त्रिभुज है। त्रिभुजाकार आधार की लंब भुजाएँ 0.5 m तथा 1.2 m हैं। शहतीर की लंबाई 3.6 m है। यदि लकड़ी का घनत्व

0.80 g / {cm}^{3}

है, तो शहतीर का द्रव्यमान किलोग्राम में ज्ञात कीजिए। (अपना उत्तर दो दशमलव स्थानों तक सही दीजिए।)","context":null,"contextHi":null,"options":[{"key":"a","text":"864 kg","textHi":null,"imageUrl":null},{"key":"b","text":"900 kg","textHi":null,"imageUrl":null},{"key":"c","text":"768 kg","textHi":null,"imageUrl":null},{"key":"d","text":"720 kg","textHi":null,"imageUrl":null}],"correct":"a","sol":"$46","solHi":"$47","pos":2,"neg":0.5},{"id":12560,"n":60,"subject":"Quantitative Aptitude","stem":"A winch pulls a load along a slope where

\cot θ = \frac{7}{24}

. Find the value of

cosec θ

.","stemHi":"एक विंच किसी भार को एक ढलान पर खींचती है, जहाँ

\cot θ = \frac{7}{24}

है।

cosec θ

का मान ज्ञात कीजिए।","context":null,"contextHi":null,"options":[{"key":"a","text":"

(\frac{24}{7})

","textHi":null,"imageUrl":null},{"key":"b","text":"

(\frac{25}{24})

","textHi":null,"imageUrl":null},{"key":"c","text":"

(\frac{25}{7})

","textHi":null,"imageUrl":null},{"key":"d","text":"

(\frac{24}{25})

","textHi":null,"imageUrl":null}],"correct":"b","sol":"$48","solHi":"$49","pos":2,"neg":0.5},{"id":12561,"n":61,"subject":"Quantitative Aptitude","stem":"If

\cos A = \frac{12}{13}

and A is acute, then find the value of

\frac{(1 + \tan^{2} A)}{(1 + \cot^{2} A)}

.","stemHi":"यदि

\cos A = \frac{12}{13}

है तथा A न्यूनकोण है, तो

\frac{(1 + \tan^{2} A)}{(1 + \cot^{2} A)}

का मान ज्ञात कीजिए।","context":null,"contextHi":null,"options":[{"key":"a","text":"

\frac{144}{169}

","textHi":null,"imageUrl":null},{"key":"b","text":"

\frac{144}{25}

","textHi":null,"imageUrl":null},{"key":"c","text":"

\frac{25}{144}

","textHi":null,"imageUrl":null},{"key":"d","text":"

\frac{169}{144}

","textHi":null,"imageUrl":null}],"correct":"c","sol":"$4a","solHi":"$4b","pos":2,"neg":0.5},{"id":12562,"n":62,"subject":"Quantitative Aptitude","stem":"If

△ A B C ≅ △ P Q R

, then which of the following must be equal?","stemHi":"यदि

△ A B C ≅ △ P Q R

है, तो निम्नलिखित में से कौन-सा बराबर होना चाहिए?","context":null,"contextHi":null,"options":[{"key":"a","text":"Median of

△ ABC =

Median of

△ PQR

","textHi":"माध्यिका

△ ABC =

माध्यिका

△ PQR

","imageUrl":null},{"key":"b","text":"Perimeter of

△ ABC =

Perimeter of

△ PQR

","textHi":"परिमाप

△ ABC =

परिमाप

△ PQR

","imageUrl":null},{"key":"c","text":"Circumradius of

△ ABC =

Circumradius of

△ PQR

","textHi":"परित्रिज्या

△ ABC =

परित्रिज्या

△ PQR

","imageUrl":null},{"key":"d","text":"All of these","textHi":"उपरोक्त सभी","imageUrl":null}],"correct":"d","sol":"Congruent triangles\nCongruent triangles are identical in both shape and size - one can be placed exactly on the other.\n $\"figure\"/$ \nSo every pair of corresponding sides is equal and every pair of corresponding angles is equal.\nEqual sides give equal perimeters, since the perimeter is just the sum of the three sides.\nA median joins a vertex to the mid-point of the opposite side; the corresponding halves are equal, so the corresponding medians are equal too.\nThe circumradius is

R = \frac{a b c}{4 Δ}

, and both the sides and the area are the same in the two triangles, so the circumradii are equal.\nAll three statements hold, so option (d) is correct.","solHi":"सर्वांगसम त्रिभुज\nसर्वांगसम त्रिभुज आकार तथा माप दोनों में समान होते हैं - एक को दूसरे पर ठीक-ठीक रखा जा सकता है।\n $\"figure\"/$ \nअतः उनकी संगत भुजाओं का प्रत्येक युग्म बराबर होता है तथा संगत कोणों का प्रत्येक युग्म भी बराबर होता है।\nभुजाएँ बराबर होने से परिमाप भी बराबर होते हैं, क्योंकि परिमाप तीनों भुजाओं का योग ही है।\nमाध्यिका किसी शीर्ष को सामने वाली भुजा के मध्यबिंदु से मिलाती है; संगत अर्ध-भुजाएँ बराबर हैं, अतः संगत माध्यिकाएँ भी बराबर होती हैं।\nपरित्रिज्या

R = \frac{a b c}{4 Δ}

होती है, और दोनों त्रिभुजों में भुजाएँ तथा क्षेत्रफल समान हैं, अतः परित्रिज्याएँ भी बराबर हैं।\nतीनों कथन सत्य हैं, इसलिए सही विकल्प (d) है।","pos":2,"neg":0.5},{"id":12563,"n":63,"subject":"Quantitative Aptitude","stem":"A chord is 5 cm and the radius is also 5 cm of the circle. Find the angle subtended at the center.","stemHi":"किसी वृत्त की एक जीवा 5 cm की है तथा उसकी त्रिज्या भी 5 cm है। केंद्र पर अंतरित कोण ज्ञात कीजिए।","context":null,"contextHi":null,"options":[{"key":"a","text":"90°","textHi":null,"imageUrl":null},{"key":"b","text":"60°","textHi":null,"imageUrl":null},{"key":"c","text":"45'","textHi":null,"imageUrl":null},{"key":"d","text":"120*","textHi":null,"imageUrl":null}],"correct":"b","sol":"Chord and central angle\nLet AB be the chord and O the centre; join OA and OB.\nOA=OB=5 cm because both are radii, and AB=5 cm is given.\n $\"figure\"/$ \nAll three sides of

△ O A B

are equal, so it is an equilateral triangle.\nEach angle of an equilateral triangle is

60^{\circ}

.\nHence the angle subtended by the chord at the centre is

∠ A O B = 60^{\circ}

, so option (b) is correct.","solHi":"जीवा और केंद्रीय कोण\nमाना कि AB जीवा है तथा O केंद्र है; OA और OB को मिलाइए।\nOA=OB=5 cm है क्योंकि दोनों त्रिज्याएँ हैं, तथा AB=5 cm दिया गया है।\n $\"figure\"/$ \n

△ O A B

की तीनों भुजाएँ बराबर हैं, अतः यह एक समबाहु त्रिभुज है।\nसमबाहु त्रिभुज का प्रत्येक कोण

60^{\circ}

होता है।\nअतः जीवा द्वारा केंद्र पर अंतरित कोण

∠ A O B = 60^{\circ}

है, इसलिए सही विकल्प (b) है।","pos":2,"neg":0.5},{"id":12564,"n":64,"subject":"Quantitative Aptitude","stem":"A train travels 240 km in 6 hours. The speed of a car is 20% more than the speed of the train, and the speed of a bike is 50% less than the speed of the car. Find the difference (in minutes) between the time taken by the car and the bike to cover 288 km.","stemHi":"एक रेलगाड़ी 240 km की दूरी 6 घंटे में तय करती है। एक कार की चाल रेलगाड़ी की चाल से 20% अधिक है तथा एक बाइक की चाल कार की चाल से 50% कम है। 288 km की दूरी तय करने में कार तथा बाइक द्वारा लिए गए समय का अंतर (मिनटों में) ज्ञात कीजिए।","context":null,"contextHi":null,"options":[{"key":"a","text":"390 minutes","textHi":"390 मिनट","imageUrl":null},{"key":"b","text":"310 minutes","textHi":"310 मिनट","imageUrl":null},{"key":"c","text":"380 minutes","textHi":"380 मिनट","imageUrl":null},{"key":"d","text":"360 minutes","textHi":"360 मिनट","imageUrl":null}],"correct":"d","sol":"$4c","solHi":"$4d","pos":2,"neg":0.5},{"id":12565,"n":65,"subject":"Quantitative Aptitude","stem":"AB is a chord in the minor segment of a circle with centre

O . C

is a point on the minor arc (between A and B). The tangents to the circle at A and B meet at a point

P

. If

∠ A C B = 102^{\circ}

, then

∠ A P B

is equal to:","stemHi":"AB एक वृत्त के लघु खंड में स्थित जीवा है, जिसका केंद्र

O . C

लघु चाप (A और B के बीच) पर स्थित एक बिंदु है। A तथा B पर वृत्त की स्पर्श रेखाएँ एक बिंदु

P

पर मिलती हैं। यदि

∠ A C B = 102^{\circ}

है, तो

∠ A P B

बराबर है:","context":null,"contextHi":null,"options":[{"key":"a","text":"36°","textHi":null,"imageUrl":null},{"key":"b","text":"24°","textHi":null,"imageUrl":null},{"key":"c","text":"27°","textHi":null,"imageUrl":null},{"key":"d","text":"18°","textHi":null,"imageUrl":null}],"correct":"b","sol":"$4e","solHi":"$4f","pos":2,"neg":0.5},{"id":12566,"n":66,"subject":"Quantitative Aptitude","stem":"Two identical solid hemispheres, each of radius r, are placed flat side to flat side, forming a sphere. Find the percentage of the total surface area of the resulting sphere that comes from the curved surfaces of the hemispheres before joining.","stemHi":"त्रिज्या r वाले दो एकसमान ठोस गोलार्धों को उनके सपाट फलकों को आपस में जोड़कर रखा जाता है, जिससे एक गोला बनता है। ज्ञात कीजिए कि इस प्रकार बने गोले के कुल पृष्ठीय क्षेत्रफल का कितना प्रतिशत भाग जोड़ने से पहले के गोलार्धों के वक्र पृष्ठों से आता है।","context":null,"contextHi":null,"options":[{"key":"a","text":"60%","textHi":null,"imageUrl":null},{"key":"b","text":"100%","textHi":null,"imageUrl":null},{"key":"c","text":"90%","textHi":null,"imageUrl":null},{"key":"d","text":"80%","textHi":null,"imageUrl":null}],"correct":"b","sol":"$50","solHi":"$51","pos":2,"neg":0.5},{"id":12567,"n":67,"subject":"Quantitative Aptitude","stem":"A regular right square pyramid has a base side of 16 cm . An ant walks from one corner of the base to the midpoint of the slant edge opposite that corner by the shortest surface path.If the perpendicular height of the pyramid is 12 cm , find the lateral surface area.","stemHi":"एक सम लंब वर्गाकार पिरामिड के आधार की भुजा 16 cm है। एक चींटी आधार के एक कोने से चलकर उसके सामने वाले तिर्यक किनारे के मध्यबिंदु तक पृष्ठ पर न्यूनतम मार्ग से जाती है। यदि पिरामिड की लंब ऊँचाई 12 cm है, तो पार्श्व पृष्ठीय क्षेत्रफल ज्ञात कीजिए।","context":null,"contextHi":null,"options":[{"key":"a","text":"

412.00 {cm}^{2}

","textHi":null,"imageUrl":null},{"key":"b","text":"

461.44 {cm}^{2}

","textHi":null,"imageUrl":null},{"key":"c","text":"

589.60 {cm}^{2}

","textHi":null,"imageUrl":null},{"key":"d","text":"

602.35 {cm}^{2}

","textHi":null,"imageUrl":null}],"correct":"b","sol":"$52","solHi":"$53","pos":2,"neg":0.5},{"id":12568,"n":68,"subject":"Quantitative Aptitude","stem":"Which of the following is correct ? Statement I: The product of a proper fraction and a whole number can be a whole number.\nStatement II: The product of two proper fractions is always a proper fraction.","stemHi":"निम्नलिखित में से कौन-सा सही है ? कथन I: एक उचित भिन्न तथा एक पूर्ण संख्या का गुणनफल एक पूर्ण संख्या हो सकता है।\nकथन II: दो उचित भिन्नों का गुणनफल सदैव एक उचित भिन्न होता है।","context":null,"contextHi":null,"options":[{"key":"a","text":"Statement I is true, Statement II is false","textHi":"कथन I सत्य है, कथन II असत्य है","imageUrl":null},{"key":"b","text":"Statement I is true, Statement II is true","textHi":"कथन I सत्य है, कथन II सत्य है","imageUrl":null},{"key":"c","text":"Statement I is false, Statement II is True","textHi":"कथन I असत्य है, कथन II सत्य है","imageUrl":null},{"key":"d","text":"Both statements are false","textHi":"दोनों कथन असत्य हैं","imageUrl":null}],"correct":"b","sol":"$54","solHi":"$55","pos":2,"neg":0.5},{"id":12569,"n":69,"subject":"Quantitative Aptitude","stem":"If

\sin (x + 10^{\circ}) = \cos (3 x - 20^{\circ})

, what is the value of

x

?","stemHi":"यदि

\sin (x + 10^{\circ}) = \cos (3 x - 20^{\circ})

है, तो

x

का मान क्या है?","context":null,"contextHi":null,"options":[{"key":"a","text":"15°","textHi":null,"imageUrl":null},{"key":"b","text":"25°","textHi":null,"imageUrl":null},{"key":"c","text":"30°","textHi":null,"imageUrl":null},{"key":"d","text":"20°","textHi":null,"imageUrl":null}],"correct":"b","sol":"$56","solHi":"$57","pos":2,"neg":0.5},{"id":12570,"n":70,"subject":"Quantitative Aptitude","stem":"The population of insects increases by 20% every hour for 3 hours, then decreases by 10% in the 4th hour, and finally increases by 25% in the 5th hour. If the initial count was 10,000 , what will be the approximate population after 5 hours?","stemHi":"कीटों की जनसंख्या 3 घंटे तक प्रत्येक घंटे 20% बढ़ती है, फिर चौथे घंटे में 10% घट जाती है और अंत में पाँचवें घंटे में 25% बढ़ जाती है। यदि आरंभिक संख्या 10,000 थी, तो 5 घंटे बाद जनसंख्या लगभग कितनी होगी?","context":null,"contextHi":null,"options":[{"key":"a","text":"18,900","textHi":null,"imageUrl":null},{"key":"b","text":"19,830","textHi":null,"imageUrl":null},{"key":"c","text":"19,440","textHi":null,"imageUrl":null},{"key":"d","text":"19,720","textHi":null,"imageUrl":null}],"correct":"c","sol":"$58","solHi":"$59","pos":2,"neg":0.5},{"id":12571,"n":71,"subject":"Quantitative Aptitude","stem":"A cone has a radius of 6 cm and a slant height of 10 cm. If the height of the cone is increased by 50%, what will be the new slant height?","stemHi":"एक शंकु की त्रिज्या 6 cm तथा तिर्यक ऊँचाई 10 cm है। यदि शंकु की ऊँचाई 50% बढ़ा दी जाए, तो नई तिर्यक ऊँचाई क्या होगी?","context":null,"contextHi":null,"options":[{"key":"a","text":"20.12 cm","textHi":null,"imageUrl":null},{"key":"b","text":"13.41 cm","textHi":null,"imageUrl":null},{"key":"c","text":"15.28 cm","textHi":null,"imageUrl":null},{"key":"d","text":"18.54 cm","textHi":null,"imageUrl":null}],"correct":"b","sol":"$5a","solHi":"$5b","pos":2,"neg":0.5},{"id":12572,"n":72,"subject":"Quantitative Aptitude","stem":"What is the smallest positive number that must be added to the product of any two consecutive odd numbers to make the result a perfect square ?","stemHi":"किन्हीं दो क्रमागत विषम संख्याओं के गुणनफल में कौन-सी सबसे छोटी धनात्मक संख्या जोड़ने पर परिणाम एक पूर्ण वर्ग बन जाता है ?","context":null,"contextHi":null,"options":[{"key":"a","text":"1","textHi":null,"imageUrl":null},{"key":"b","text":"2","textHi":null,"imageUrl":null},{"key":"c","text":"4","textHi":null,"imageUrl":null},{"key":"d","text":"8","textHi":null,"imageUrl":null}],"correct":"a","sol":"$5c","solHi":"$5d","pos":2,"neg":0.5},{"id":12573,"n":73,"subject":"Quantitative Aptitude","stem":"From an external point

P

, two tangent segments PA and PB are drawn to a circle with center O and a radius of 11 units. The distance from P to O is 61 units. Calculate the area of quadrilateral PAOB.","stemHi":"एक बाह्य बिंदु

P

से, केंद्र O तथा 11 इकाई त्रिज्या वाले एक वृत्त पर दो स्पर्श रेखाखंड PA तथा PB खींचे गए हैं। P से O की दूरी 61 इकाई है। चतुर्भुज PAOB का क्षेत्रफल ज्ञात कीजिए।","context":null,"contextHi":null,"options":[{"key":"a","text":"665 square unit","textHi":"665 वर्ग इकाई","imageUrl":null},{"key":"b","text":"660 square unit","textHi":"660 वर्ग इकाई","imageUrl":null},{"key":"c","text":"656 square unit","textHi":"656 वर्ग इकाई","imageUrl":null},{"key":"d","text":"630 square unit","textHi":"630 वर्ग इकाई","imageUrl":null}],"correct":"b","sol":"$5e","solHi":"$5f","pos":2,"neg":0.5},{"id":12574,"n":74,"subject":"Quantitative Aptitude","stem":"A triangle has vertices at

A (1, 1)

B (3, 2)

, and

C (5, 3)

. What is the centroid of the triangle?","stemHi":"एक त्रिभुज के शीर्ष

A (1, 1)

B (3, 2)

तथा

C (5, 3)

हैं। इस त्रिभुज का केंद्रक क्या है?","context":null,"contextHi":null,"options":[{"key":"a","text":"

(2, 2)

","textHi":null,"imageUrl":null},{"key":"b","text":"

(3, 2)

","textHi":null,"imageUrl":null},{"key":"c","text":"

(2, 3)

","textHi":null,"imageUrl":null},{"key":"d","text":"

(4, 3)

","textHi":null,"imageUrl":null}],"correct":"b","sol":"$60","solHi":"$61","pos":2,"neg":0.5},{"id":12575,"n":75,"subject":"Quantitative Aptitude","stem":"In a right-angled triangle

A B C

, where the right angle is at

B

, if

A C = 41

and

B C = 9

, what is the value of

\sin (A)

?","stemHi":"एक समकोण त्रिभुज

A B C

में, जिसमें समकोण

B

पर है, यदि

A C = 41

तथा

B C = 9

हो, तो

\sin (A)

का मान क्या है?","context":null,"contextHi":null,"options":[{"key":"a","text":"

\frac{7}{40}

","textHi":null,"imageUrl":null},{"key":"b","text":"

\frac{41}{40}

","textHi":null,"imageUrl":null},{"key":"c","text":"

\frac{40}{41}

","textHi":null,"imageUrl":null},{"key":"d","text":"

\frac{7}{41}

","textHi":null,"imageUrl":null}],"correct":"c","sol":"$62","solHi":"$63","pos":2,"neg":0.5},{"id":12576,"n":76,"subject":"General Awareness","stem":"In the administrative system of the Chola dynasty, what term was used to denote the land revenue collected from cultivators?","stemHi":"चोल राजवंश की प्रशासनिक व्यवस्था में कृषकों से एकत्र किए जाने वाले भू-राजस्व को व्यक्त करने के लिए किस शब्द का प्रयोग होता था?","context":null,"contextHi":null,"options":[{"key":"a","text":"Sulkam","textHi":null,"imageUrl":null},{"key":"b","text":"Vetti","textHi":null,"imageUrl":null},{"key":"c","text":"Kadamai","textHi":null,"imageUrl":null},{"key":"d","text":"Eripatti","textHi":null,"imageUrl":null}],"correct":"c","sol":"Chola revenue administration\nKadamai was the land revenue that cultivators paid to the Chola state, usually taken as a share of the produce.\nLand tax was the largest single source of Chola income; a separate department, the puravu-vari-tinaikkalam, surveyed and classified land for assessment.\n $\"figure\"/$ \nVetti meant unpaid compulsory labour demanded from villagers, and Sulkam was a duty levied on trade.\nEripatti was tank land - land whose income was set apart for the upkeep of an irrigation tank, a vital arrangement in the Kaveri delta.\nHence option (c) is correct.","solHi":"चोल राजस्व प्रशासन\nKadamai वह भू-राजस्व था जो कृषक चोल राज्य को देते थे और जो प्रायः उपज के एक भाग के रूप में लिया जाता था।\nभू-राजस्व चोल आय का सबसे बड़ा स्रोत था; भूमि के सर्वेक्षण तथा वर्गीकरण के लिए puravu-vari-tinaikkalam नामक अलग विभाग था।\n $\"figure\"/$ \nVetti का अर्थ था ग्रामवासियों से लिया जाने वाला अवैतनिक अनिवार्य श्रम, तथा Sulkam व्यापार पर लगाया जाने वाला शुल्क था।\nEripatti तालाब-भूमि थी - ऐसी भूमि जिसकी आय सिंचाई-तालाब के रखरखाव के लिए निर्धारित होती थी, जो कावेरी डेल्टा में अत्यंत महत्वपूर्ण व्यवस्था थी।\nइसलिए सही विकल्प (c) है।","pos":2,"neg":0.5},{"id":12577,"n":77,"subject":"General Awareness","stem":"Which medieval ruling house exercised control over a large part of India for a comparatively brief period of about fifteen years?","stemHi":"किस मध्यकालीन शासक वंश ने भारत के एक बड़े भाग पर तुलनात्मक रूप से लगभग पंद्रह वर्ष की अल्प अवधि तक नियंत्रण रखा?","context":null,"contextHi":null,"options":[{"key":"a","text":"Khilji dynasty","textHi":"खिलजी वंश","imageUrl":null},{"key":"b","text":"Tughlaq dynasty","textHi":"तुगलक वंश","imageUrl":null},{"key":"c","text":"Lodi dynasty","textHi":"लोदी वंश","imageUrl":null},{"key":"d","text":"Sur dynasty","textHi":"सूर वंश","imageUrl":null}],"correct":"d","sol":"Medieval dynasties\nThe Sur dynasty held a large part of India for only about fifteen years, from 1540 to 1555.\nIt was founded by Sher Shah Suri, who defeated Humayun at Chausa (1539) and Kannauj (1540) and drove the Mughals out of India for that spell.\nIn those few years he reorganised land revenue on measurement, issued the silver rupiya and restored the Grand Trunk Road with its sarais.\n $\"figure\"/$ \nThe other houses ruled far longer, so none of them fits a fifteen-year span.\nHence option (d) is correct.","solHi":"मध्यकालीन राजवंश\nसूर वंश ने भारत के एक बड़े भाग पर केवल लगभग पंद्रह वर्ष, अर्थात् 1540 से 1555 तक शासन किया।\nइसकी स्थापना शेरशाह सूरी ने की, जिसने चौसा (1539) तथा कन्नौज (1540) में हुमायूँ को पराजित कर उस अवधि के लिए मुगलों को भारत से बाहर कर दिया।\nइन्हीं थोड़े वर्षों में उसने भूमि-मापन पर आधारित लगान व्यवस्था लागू की, चाँदी का रुपया चलाया तथा ग्रैंड ट्रंक रोड और उस पर सरायों का पुनर्निर्माण कराया।\n $\"figure\"/$ \nअन्य वंशों ने कहीं अधिक लंबे समय तक शासन किया, अतः उनमें से कोई भी पंद्रह वर्ष की अवधि में नहीं बैठता।\nइसलिए सही विकल्प (d) है।","pos":2,"neg":0.5},{"id":12578,"n":78,"subject":"General Awareness","stem":"Which provision of the Indian Constitution empowers Parliament to admit new territories into the Union or create new States?","stemHi":"भारतीय संविधान का कौन-सा उपबंध संसद को संघ में नए राज्यक्षेत्रों को सम्मिलित करने अथवा नए राज्यों की स्थापना करने की शक्ति देता है?","context":null,"contextHi":null,"options":[{"key":"a","text":"Article 4","textHi":"अनुच्छेद 4","imageUrl":null},{"key":"b","text":"Article 2","textHi":"अनुच्छेद 2","imageUrl":null},{"key":"c","text":"Article 7","textHi":"अनुच्छेद 7","imageUrl":null},{"key":"d","text":"Article 8","textHi":"अनुच्छेद 8","imageUrl":null}],"correct":"b","sol":"Articles on new States\nArticle 2 empowers Parliament to admit into the Union, or establish, new States on such terms and conditions as it thinks fit.\nIt deals with territory that is not already part of India; re-drawing States that already exist is done under Article 3.\n $\"figure\"/$ \nArticle 4 only says that laws made under Articles 2 and 3 may amend the First and Fourth Schedules and are not amendments of the Constitution under Article 368.\nArticles 7 and 8 belong to Part II and deal with citizenship - of migrants to Pakistan and of persons of Indian origin living abroad.\nHence option (b) is correct.","solHi":"नए राज्यों संबंधी अनुच्छेद\nअनुच्छेद 2 संसद को यह शक्ति देता है कि वह ऐसे निबंधनों और शर्तों पर, जो वह उचित समझे, नए राज्यों को संघ में सम्मिलित कर सके अथवा उनकी स्थापना कर सके।\nयह ऐसे राज्यक्षेत्र से संबंधित है जो पहले से भारत का भाग नहीं है; पहले से विद्यमान राज्यों के पुनर्गठन का कार्य अनुच्छेद 3 के अंतर्गत होता है।\n $\"figure\"/$ \nअनुच्छेद 4 केवल यह कहता है कि अनुच्छेद 2 और 3 के अधीन बनाई गई विधियाँ पहली तथा चौथी अनुसूची में संशोधन कर सकती हैं और वे अनुच्छेद 368 के अर्थ में संविधान संशोधन नहीं मानी जातीं।\nअनुच्छेद 7 तथा 8 भाग II में हैं और नागरिकता से संबंधित हैं - पाकिस्तान को प्रव्रजन करने वालों की तथा विदेश में रहने वाले भारतीय मूल के व्यक्तियों की।\nइसलिए सही विकल्प (b) है।","pos":2,"neg":0.5},{"id":12579,"n":79,"subject":"General Awareness","stem":"Examine the following statements concerning Fundamental Rights enshrined in the Constitution of India:\n1. The provision related to the abolition of titles is contained in Article 30.\n2. The ban on child labour in factories and hazardous employments is mentioned under Article 22.\nWhich of the statements given above is/are correct?","stemHi":"भारत के संविधान में प्रतिष्ठापित मौलिक अधिकारों से संबंधित निम्नलिखित कथनों पर विचार कीजिए:\n1. उपाधियों के अंत से संबंधित उपबंध अनुच्छेद 30 में निहित है।\n2. कारखानों तथा जोखिमपूर्ण नियोजनों में बाल श्रम पर प्रतिबंध का उल्लेख अनुच्छेद 22 के अंतर्गत है।\nउपर्युक्त कथनों में से कौन-सा/से सही है/हैं?","context":null,"contextHi":null,"options":[{"key":"a","text":"Statement 1 only","textHi":"केवल कथन 1","imageUrl":null},{"key":"b","text":"Statement 2 only","textHi":"केवल कथन 2","imageUrl":null},{"key":"c","text":"Both statements 1 and 2","textHi":"कथन 1 और 2 दोनों","imageUrl":null},{"key":"d","text":"Neither statement 1 nor statement 2","textHi":"न तो कथन 1 और न ही कथन 2","imageUrl":null}],"correct":"d","sol":"Fundamental Rights articles\nStatement 1 is wrong: abolition of titles is Article 18, while Article 30 gives minorities the right to establish and administer educational institutions of their choice.\nStatement 2 is wrong: the ban on employing children below 14 in factories, mines and other hazardous work is Article 24, while Article 22 protects a person against arbitrary arrest and detention.\n $\"figure\"/$ \nBoth statements attach the provision to the wrong Article, so neither is correct.\nHence option (d) is correct.","solHi":"मौलिक अधिकारों के अनुच्छेद\nकथन 1 गलत है: उपाधियों का अंत अनुच्छेद 18 में है, जबकि अनुच्छेद 30 अल्पसंख्यकों को अपनी रुचि के शिक्षा संस्थानों की स्थापना तथा प्रशासन का अधिकार देता है।\nकथन 2 गलत है: कारखानों, खानों तथा अन्य जोखिमपूर्ण कार्यों में 14 वर्ष से कम आयु के बालकों के नियोजन पर प्रतिबंध अनुच्छेद 24 में है, जबकि अनुच्छेद 22 मनमानी गिरफ्तारी तथा निरोध से संरक्षण देता है।\n $\"figure\"/$ \nदोनों कथन उपबंध को गलत अनुच्छेद से जोड़ते हैं, अतः कोई भी कथन सही नहीं है।\nइसलिए सही विकल्प (d) है।","pos":2,"neg":0.5},{"id":12580,"n":80,"subject":"General Awareness","stem":"India regained the Miss World crown in 2017 after a long interval. Who was the Indian representative that achieved this feat?","stemHi":"भारत ने 2017 में लंबे अंतराल के बाद मिस वर्ल्ड का ताज पुनः प्राप्त किया। यह उपलब्धि प्राप्त करने वाली भारतीय प्रतिनिधि कौन थीं?","context":null,"contextHi":null,"options":[{"key":"a","text":"Sushmita Sen","textHi":null,"imageUrl":null},{"key":"b","text":"Manushi Chhillar","textHi":null,"imageUrl":null},{"key":"c","text":"Dia Mirza","textHi":null,"imageUrl":null},{"key":"d","text":"Yukta Mookhey","textHi":null,"imageUrl":null}],"correct":"b","sol":"Miss World winners from India\nManushi Chhillar of Haryana won Miss World 2017, held at Sanya in China.\nShe was the sixth Indian to win the crown and brought it back after 17 years, the previous Indian winner being Priyanka Chopra in 2000.\n $\"figure\"/$ \nReita Faria (1966) was the first Indian and the first Asian to win Miss World.\nOf the other names, Sushmita Sen won Miss Universe in 1994 and Dia Mirza was crowned Miss Asia Pacific in 2000, so they do not fit.\nHence option (b) is correct.","solHi":"भारत की मिस वर्ल्ड विजेता\nहरियाणा की Manushi Chhillar ने चीन के सान्या में आयोजित मिस वर्ल्ड 2017 का खिताब जीता।\nवे यह ताज जीतने वाली छठी भारतीय थीं और 17 वर्ष बाद यह खिताब भारत लौटीं; इससे पहले 2000 में Priyanka Chopra विजेता रही थीं।\n $\"figure\"/$ \nReita Faria (1966) मिस वर्ल्ड बनने वाली पहली भारतीय तथा पहली एशियाई महिला थीं।\nअन्य नामों में Sushmita Sen ने 1994 में मिस यूनिवर्स जीता तथा Dia Mirza 2000 में मिस एशिया पैसिफिक बनीं, अतः वे उपयुक्त नहीं हैं।\nइसलिए सही विकल्प (b) है।","pos":2,"neg":0.5},{"id":12581,"n":81,"subject":"General Awareness","stem":"According to the Union Budget 2025-26, how many Atal Tinkering Labs (ATLs) are proposed to be established in government schools over the next five years?","stemHi":"केंद्रीय बजट 2025-26 के अनुसार, अगले पाँच वर्षों में सरकारी विद्यालयों में कितनी अटल टिंकरिंग लैब्स (ATLs) स्थापित किए जाने का प्रस्ताव है?","context":null,"contextHi":null,"options":[{"key":"a","text":"25,000","textHi":null,"imageUrl":null},{"key":"b","text":"40,000","textHi":null,"imageUrl":null},{"key":"c","text":"50,000","textHi":null,"imageUrl":null},{"key":"d","text":"75,000","textHi":null,"imageUrl":null}],"correct":"c","sol":"Union Budget 2025-26\nThe Union Budget 2025-26 proposed setting up 50,000 Atal Tinkering Labs in government schools over the next five years.\nAtal Tinkering Labs are the school-level arm of the Atal Innovation Mission of NITI Aayog; each lab gives children hands-on access to robotics kits, sensors, 3D printers and open-source electronics.\nAbout 10,000 such labs already existed, so the announcement was a fivefold expansion aimed at building scientific temper and problem-solving skills in public schools.\nHence the required number is 50,000, option (c).","solHi":"केंद्रीय बजट 2025-26\nकेंद्रीय बजट 2025-26 में अगले पाँच वर्षों में सरकारी विद्यालयों में 50,000 अटल टिंकरिंग लैब्स स्थापित करने का प्रस्ताव रखा गया।\nअटल टिंकरिंग लैब्स नीति आयोग के अटल नवाचार मिशन का विद्यालय-स्तरीय अंग हैं; प्रत्येक लैब में बच्चों को रोबोटिक्स किट, सेंसर, 3D प्रिंटर तथा ओपन-सोर्स इलेक्ट्रॉनिक्स पर प्रत्यक्ष कार्य करने का अवसर मिलता है।\nलगभग 10,000 ऐसी लैब्स पहले से विद्यमान थीं, अतः यह घोषणा पाँच गुना विस्तार थी, जिसका उद्देश्य सरकारी विद्यालयों में वैज्ञानिक दृष्टिकोण एवं समस्या-समाधान कौशल विकसित करना है।\nअतः अभीष्ट संख्या 50,000 है, अर्थात् विकल्प (c)।","pos":2,"neg":0.5},{"id":12582,"n":82,"subject":"General Awareness","stem":"Under the Bharatiya Nyaya Sanhita (BNS), 2023, the punishment provisions were revised. For how many offences has the term of imprisonment been enhanced compared to the earlier law?","stemHi":"भारतीय न्याय संहिता (BNS), 2023 के अंतर्गत दंड संबंधी प्रावधानों को संशोधित किया गया। पूर्ववर्ती कानून की तुलना में कितने अपराधों के लिए कारावास की अवधि बढ़ाई गई है?","context":null,"contextHi":null,"options":[{"key":"a","text":"25","textHi":null,"imageUrl":null},{"key":"b","text":"33","textHi":null,"imageUrl":null},{"key":"c","text":"45","textHi":null,"imageUrl":null},{"key":"d","text":"63","textHi":null,"imageUrl":null}],"correct":"b","sol":"Bharatiya Nyaya Sanhita 2023\nThe Bharatiya Nyaya Sanhita, 2023 replaced the Indian Penal Code, 1860 and came into force on 1 July 2024.\nWhile recasting the punishments, the term of imprisonment was enhanced for 33 offences.\n $\"figure\"/$ \nThe same revision raised the fine amount in 83 offences, fixed a mandatory minimum punishment in 23 offences and introduced community service as a penalty for 6 petty offences.\nHence the correct option is (b).","solHi":"भारतीय न्याय संहिता 2023\nभारतीय न्याय संहिता, 2023 ने भारतीय दंड संहिता, 1860 का स्थान लिया और यह 1 जुलाई 2024 से प्रभावी हुई।\nदंड प्रावधानों के पुनर्गठन में 33 अपराधों के लिए कारावास की अवधि बढ़ाई गई।\n $\"figure\"/$ \nइसी संशोधन में 83 अपराधों में जुर्माने की राशि बढ़ाई गई, 23 अपराधों में न्यूनतम दंड अनिवार्य किया गया तथा 6 छोटे अपराधों में सामुदायिक सेवा को दंड के रूप में जोड़ा गया।\nअतः सही विकल्प (b) है।","pos":2,"neg":0.5},{"id":12583,"n":83,"subject":"General Awareness","stem":"The Sakhi Niwas Scheme, which was highlighted in news reports in April 2025 , is implemented as a component of which government initiative?","stemHi":"सखी निवास योजना, जो अप्रैल 2025 की समाचार रिपोर्टों में चर्चा में रही, किस सरकारी पहल के एक घटक के रूप में क्रियान्वित की जाती है?","context":null,"contextHi":null,"options":[{"key":"a","text":"Mission Shakti","textHi":"मिशन शक्ति","imageUrl":null},{"key":"b","text":"Mission Poshan","textHi":"मिशन पोषण","imageUrl":null},{"key":"c","text":"Mission Vatsalya","textHi":"मिशन वात्सल्य","imageUrl":null},{"key":"d","text":"Mission Swavalamban","textHi":"मिशन स्वावलंबन","imageUrl":null}],"correct":"a","sol":"Sakhi Niwas scheme\nSakhi Niwas is the Working Women Hostel scheme of the Ministry of Women and Child Development, run as a component of Mission Shakti.\nMission Shakti is the umbrella scheme for women's safety, security and empowerment launched in 2021-22; its Sambal sub-scheme covers safety (One Stop Centres, women helpline) and its Samarthya sub-scheme covers empowerment, under which Sakhi Niwas falls.\nThe hostels give safe and affordable accommodation, with day-care for children, to women who move away from home for work, education or training.\nMission Vatsalya is meant for child protection and Poshan 2.0 for nutrition, so neither can house this scheme.\nHence option (a) is correct.","solHi":"सखी निवास योजना\nसखी निवास महिला एवं बाल विकास मंत्रालय की कामकाजी महिला छात्रावास योजना है, जो मिशन शक्ति के एक घटक के रूप में संचालित होती है।\nमिशन शक्ति महिलाओं की सुरक्षा, संरक्षा एवं सशक्तीकरण की समग्र (अम्ब्रेला) योजना है, जो 2021-22 में आरंभ हुई; इसकी 'संबल' उप-योजना सुरक्षा (वन स्टॉप सेंटर, महिला हेल्पलाइन) तथा 'सामर्थ्य' उप-योजना सशक्तीकरण से संबंधित है, जिसके अंतर्गत सखी निवास आता है।\nये छात्रावास उन महिलाओं को सुरक्षित एवं किफायती आवास तथा बच्चों के लिए डे-केयर सुविधा देते हैं जो रोजगार, शिक्षा या प्रशिक्षण के लिए अपने घर से दूर जाती हैं।\nमिशन वात्सल्य बाल संरक्षण के लिए तथा पोषण 2.0 पोषण के लिए है, अतः इनमें यह योजना नहीं आती।\nअतः सही विकल्प (a) है।","pos":2,"neg":0.5},{"id":12584,"n":84,"subject":"General Awareness","stem":"Basketball, now played worldwide as a popular indoor sport, was first invented in which country?","stemHi":"बास्केटबॉल, जो अब विश्व भर में एक लोकप्रिय इनडोर खेल के रूप में खेला जाता है, सर्वप्रथम किस देश में आविष्कृत हुआ था?","context":null,"contextHi":null,"options":[{"key":"a","text":"Canada","textHi":"कनाडा","imageUrl":null},{"key":"b","text":"United States of America","textHi":"संयुक्त राज्य अमेरिका","imageUrl":null},{"key":"c","text":"England","textHi":"इंग्लैंड","imageUrl":null},{"key":"d","text":"Australia","textHi":"ऑस्ट्रेलिया","imageUrl":null}],"correct":"b","sol":"Origin of basketball\nBasketball was invented in December 1891 by Dr James Naismith at the YMCA training school in Springfield, Massachusetts, in the United States of America.\nHe nailed two peach baskets to the gallery railings to give his students an indoor game for the New England winter, and the game took its name from those baskets.\nNaismith was Canadian by birth, which is what makes option (a) tempting, but the game itself was created in the USA.\nThe world body FIBA was formed in 1932 and is based at Mies in Switzerland; basketball became a regular Olympic sport at the Berlin Games of 1936.\nHence option (b) is correct.","solHi":"बास्केटबॉल की उत्पत्ति\nबास्केटबॉल का आविष्कार दिसंबर 1891 में डॉ. जेम्स नैस्मिथ ने संयुक्त राज्य अमेरिका के स्प्रिंगफील्ड, मैसाचुसेट्स स्थित YMCA प्रशिक्षण विद्यालय में किया था।\nउन्होंने न्यू इंग्लैंड की सर्दियों में विद्यार्थियों के लिए इनडोर खेल हेतु गैलरी की रेलिंग पर आड़ू (peach) की दो टोकरियाँ लगाई थीं और खेल का नाम उन्हीं टोकरियों से पड़ा।\nनैस्मिथ जन्म से कनाडाई थे, इसीलिए विकल्प (a) भ्रमित करता है, किंतु खेल का आविष्कार अमेरिका में हुआ।\nविश्व संस्था FIBA की स्थापना 1932 में हुई और इसका मुख्यालय स्विट्ज़रलैंड के मीस में है; बास्केटबॉल 1936 के बर्लिन ओलंपिक से नियमित ओलंपिक खेल बना।\nअतः सही विकल्प (b) है।","pos":2,"neg":0.5},{"id":12585,"n":85,"subject":"General Awareness","stem":"What was the total medal count won by Maharashtra at the National Games 2025?","stemHi":"राष्ट्रीय खेल 2025 में महाराष्ट्र द्वारा जीते गए पदकों की कुल संख्या कितनी थी?","context":null,"contextHi":null,"options":[{"key":"a","text":"92","textHi":null,"imageUrl":null},{"key":"b","text":"189","textHi":null,"imageUrl":null},{"key":"c","text":"201","textHi":null,"imageUrl":null},{"key":"d","text":"250","textHi":null,"imageUrl":null}],"correct":"c","sol":"National Games 2025\nThe 38th National Games were held in Uttarakhand from 28 January to 14 February 2025.\n $\"figure\"/$ \nMaharashtra finished second, behind the Services Sports Control Board, with 54 gold, 71 silver and 76 bronze medals.\n54+71+76=201\nHence Maharashtra's total medal count was 201, option (c).","solHi":"राष्ट्रीय खेल 2025\n38वें राष्ट्रीय खेल उत्तराखंड में 28 जनवरी से 14 फरवरी 2025 तक आयोजित हुए।\n $\"figure\"/$ \nमहाराष्ट्र सर्विसेज स्पोर्ट्स कंट्रोल बोर्ड के बाद दूसरे स्थान पर रहा, जिसने 54 स्वर्ण, 71 रजत तथा 76 कांस्य पदक जीते।\n54+71+76=201\nअतः महाराष्ट्र की कुल पदक संख्या 201 थी, अर्थात् विकल्प (c)।","pos":2,"neg":0.5},{"id":12586,"n":86,"subject":"General Awareness","stem":"Which of the following sports is played without using a ball?","stemHi":"निम्नलिखित में से कौन-सा खेल गेंद के प्रयोग के बिना खेला जाता है?","context":null,"contextHi":null,"options":[{"key":"a","text":"Tennis","textHi":"टेनिस","imageUrl":null},{"key":"b","text":"Table Tennis","textHi":"टेबल टेनिस","imageUrl":null},{"key":"c","text":"Volleyball","textHi":"वॉलीबॉल","imageUrl":null},{"key":"d","text":"Badminton","textHi":"बैडमिंटन","imageUrl":null}],"correct":"d","sol":"Sports equipment\nBadminton is the only game in the list that is not played with a ball.\nIt is played with a shuttlecock (also called a birdie) - a cork or rubber base carrying a conical crown of sixteen goose feathers or a synthetic skirt.\nThat open cone creates heavy air drag, so the shuttle slows down sharply after being struck, which is why badminton is an indoor game.\nTennis and table tennis use small hard balls and volleyball a large inflated ball, so those three are ruled out.\nHence option (d) is correct.","solHi":"खेल उपकरण\nदिए गए खेलों में केवल बैडमिंटन ही ऐसा है जो गेंद से नहीं खेला जाता।\nयह शटलकॉक (जिसे बर्डी भी कहते हैं) से खेला जाता है - इसमें कॉर्क या रबड़ के आधार पर सोलह हंस-पंखों का अथवा सिंथेटिक शंक्वाकार घेरा लगा होता है।\nयह खुला शंकु अधिक वायु-प्रतिरोध उत्पन्न करता है, जिससे प्रहार के बाद शटल की गति तेजी से घटती है; इसी कारण बैडमिंटन इनडोर खेल है।\nटेनिस तथा टेबल टेनिस में छोटी कठोर गेंद और वॉलीबॉल में बड़ी हवा भरी गेंद प्रयुक्त होती है, अतः ये तीनों विकल्प निरस्त हो जाते हैं।\nअतः सही विकल्प (d) है।","pos":2,"neg":0.5},{"id":12587,"n":87,"subject":"General Awareness","stem":"The endangered black-collared yellow catfish is found in the Chalakudy River. This river is located in which Indian state?","stemHi":"संकटग्रस्त ब्लैक-कॉलर्ड येलो कैटफ़िश चालाकुडी नदी में पाई जाती है। यह नदी किस भारतीय राज्य में स्थित है?","context":null,"contextHi":null,"options":[{"key":"a","text":"Tamil Nadu","textHi":"तमिलनाडु","imageUrl":null},{"key":"b","text":"Karnataka","textHi":"कर्नाटक","imageUrl":null},{"key":"c","text":"Kerala","textHi":"केरल","imageUrl":null},{"key":"d","text":"Andhra Pradesh","textHi":"आंध्र प्रदेश","imageUrl":null}],"correct":"c","sol":"Rivers of Kerala\nThe Chalakudy River lies in Kerala; it rises in the Anamalai hills of the Western Ghats and joins the Periyar before reaching the Arabian Sea.\nIt is the most fish-diverse river of Kerala and shelters the endangered black-collared yellow catfish, an endemic species of this river system.\nThe Athirappilly and Vazhachal waterfalls, often called the Niagara of India, are on this river.\nHence option (c) is correct.","solHi":"केरल की नदियाँ\nचालाकुडी नदी केरल में है; यह पश्चिमी घाट की अनामलाई पहाड़ियों से निकलती है और अरब सागर तक पहुँचने से पहले पेरियार नदी में मिल जाती है।\nयह केरल की सर्वाधिक मत्स्य-विविधता वाली नदी है और इसमें संकटग्रस्त ब्लैक-कॉलर्ड येलो कैटफ़िश पाई जाती है, जो इसी नदी तंत्र की स्थानिक (endemic) प्रजाति है।\nइसी नदी पर अथिरापल्ली तथा वाझाचल जलप्रपात स्थित हैं, जिन्हें प्रायः 'भारत का नियाग्रा' कहा जाता है।\nअतः सही विकल्प (c) है।","pos":2,"neg":0.5},{"id":12588,"n":88,"subject":"General Awareness","stem":"In March 2025, the Prime Minister of India announced that the cheetah reintroduction programme would be expanded to Gandhisagar Wildlife Sanctuary. This sanctuary is located in which state?","stemHi":"मार्च 2025 में, भारत के प्रधानमंत्री ने घोषणा की कि चीता पुनःस्थापन कार्यक्रम का विस्तार गांधीसागर वन्यजीव अभयारण्य तक किया जाएगा। यह अभयारण्य किस राज्य में स्थित है?","context":null,"contextHi":null,"options":[{"key":"a","text":"Rajasthan","textHi":"राजस्थान","imageUrl":null},{"key":"b","text":"Chhattisgarh","textHi":"छत्तीसगढ़","imageUrl":null},{"key":"c","text":"Madhya Pradesh","textHi":"मध्य प्रदेश","imageUrl":null},{"key":"d","text":"Uttar Pradesh","textHi":"उत्तर प्रदेश","imageUrl":null}],"correct":"c","sol":"Project Cheetah sites\nGandhi Sagar Wildlife Sanctuary lies in the Mandsaur and Neemuch districts of Madhya Pradesh, on the banks of the Chambal river near the Gandhi Sagar dam.\nIn March 2025 the Prime Minister announced that Project Cheetah would be extended to this sanctuary, making it the second cheetah home in India after Kuno National Park, which is also in Madhya Pradesh.\nIts open grassland with dry deciduous forest and a growing chinkara and chital prey base suits the cheetah, an animal that hunts by speed in the open.\nHence option (c) is correct.","solHi":"प्रोजेक्ट चीता स्थल\nगांधीसागर वन्यजीव अभयारण्य मध्य प्रदेश के मंदसौर तथा नीमच जिलों में, गांधीसागर बाँध के समीप चंबल नदी के किनारे स्थित है।\nमार्च 2025 में प्रधानमंत्री ने घोषणा की कि प्रोजेक्ट चीता का विस्तार इस अभयारण्य तक किया जाएगा, जिससे यह कूनो राष्ट्रीय उद्यान (जो मध्य प्रदेश में ही है) के बाद भारत में चीतों का दूसरा आवास बन गया।\nयहाँ के खुले घास के मैदान, शुष्क पर्णपाती वन तथा चिंकारा एवं चीतल जैसे बढ़ते शिकार-आधार चीते के लिए उपयुक्त हैं, क्योंकि चीता खुले मैदान में गति से शिकार करता है।\nअतः सही विकल्प (c) है।","pos":2,"neg":0.5},{"id":12589,"n":89,"subject":"General Awareness","stem":"The term "Dedh Satara" is associated with a unique melodic scale used in the folk music tradition of which Indian state?","stemHi":""Dedh Satara" शब्द किस भारतीय राज्य की लोक संगीत परंपरा में प्रयुक्त एक विशिष्ट स्वर-पद्धति से संबंधित है?","context":null,"contextHi":null,"options":[{"key":"a","text":"Gujarat","textHi":"गुजरात","imageUrl":null},{"key":"b","text":"Rajasthan","textHi":"राजस्थान","imageUrl":null},{"key":"c","text":"Himachal Pradesh","textHi":"हिमाचल प्रदेश","imageUrl":null},{"key":"d","text":"Madhya Pradesh","textHi":"मध्य प्रदेश","imageUrl":null}],"correct":"b","sol":"Rajasthani folk music\nDedh Satara belongs to the folk music tradition of Rajasthan.\nIt is a twin flute of the desert region: the player blows both pipes together, one carrying the melody and the slightly longer one a continuous drone, and the 'dedh' (one-and-a-half) in the name refers to that unequal pairing of pipes and the half-note colour it gives the scale.\nIt is played by folk communities such as the Langas and Manganiyars, usually with circular breathing so that the drone never breaks.\nKamaycha, Ravanhatha, Sindhi Sarangi, Algoza, Morchang and Ektara are the other well-known Rajasthani folk instruments.\nHence option (b) is correct.","solHi":"राजस्थानी लोक संगीत\n'Dedh Satara' राजस्थान की लोक संगीत परंपरा से संबंधित है।\nयह मरुस्थलीय क्षेत्र की युग्म बाँसुरी है: वादक दोनों नलिकाओं को एक साथ फूँकता है, जिसमें एक स्वर-लहरी (melody) तथा कुछ लंबी दूसरी नलिका निरंतर आधार-स्वर (drone) देती है; नाम में आया 'देढ़' (डेढ़) इसी असमान युग्म तथा उससे उत्पन्न आधे स्वर के प्रभाव को दर्शाता है।\nइसे लंगा तथा मांगणियार जैसे लोक समुदाय बजाते हैं, प्रायः चक्रीय श्वास (circular breathing) के साथ, ताकि आधार-स्वर टूटे नहीं।\nकमायचा, रावणहत्था, सिंधी सारंगी, अलगोजा, मोरचंग तथा एकतारा राजस्थान के अन्य प्रसिद्ध लोक वाद्य हैं।\nअतः सही विकल्प (b) है।","pos":2,"neg":0.5},{"id":12590,"n":90,"subject":"General Awareness","stem":"At an altitude of about 800 km , a satellite placed in a Sun-Synchronous Orbit (SSO) travels at an approximate speed of how many km per second?","stemHi":"लगभग 800 km की ऊँचाई पर सूर्य-तुल्यकालिक कक्षा (Sun-Synchronous Orbit, SSO) में स्थापित कोई उपग्रह लगभग कितने km प्रति सेकंड की चाल से गति करता है?","context":null,"contextHi":null,"options":[{"key":"a","text":"6.2","textHi":null,"imageUrl":null},{"key":"b","text":"7.5","textHi":null,"imageUrl":null},{"key":"c","text":"9.8","textHi":null,"imageUrl":null},{"key":"d","text":"12.0","textHi":null,"imageUrl":null}],"correct":"b","sol":"$64","solHi":"$65","pos":2,"neg":0.5},{"id":12591,"n":91,"subject":"General Awareness","stem":"A force of 8 N acts on an object and produces a displacement of 3 metres in the direction of the force. The force acts throughout the motion. What is the work done?","stemHi":"किसी वस्तु पर 8 N का बल लगता है और वह बल की दिशा में 3 मीटर का विस्थापन उत्पन्न करता है। बल सम्पूर्ण गति के दौरान कार्यरत रहता है। किया गया कार्य कितना है?","context":null,"contextHi":null,"options":[{"key":"a","text":"12 J","textHi":null,"imageUrl":null},{"key":"b","text":"18 J","textHi":null,"imageUrl":null},{"key":"c","text":"24 J","textHi":null,"imageUrl":null},{"key":"d","text":"30 J","textHi":null,"imageUrl":null}],"correct":"c","sol":"$66","solHi":"$67","pos":2,"neg":0.5},{"id":12592,"n":92,"subject":"General Awareness","stem":"The aircraft named 'Prachand', developed by Hindustan Aeronautics Limited (HAL), belongs to which category?","stemHi":"हिंदुस्तान एयरोनॉटिक्स लिमिटेड (HAL) द्वारा विकसित 'प्रचंड' नामक विमान किस श्रेणी से संबंधित है?","context":null,"contextHi":null,"options":[{"key":"a","text":"Unmanned aerial vehicle","textHi":"मानवरहित हवाई वाहन","imageUrl":null},{"key":"b","text":"Trainer aircraft","textHi":"प्रशिक्षक विमान","imageUrl":null},{"key":"c","text":"Light combat helicopter","textHi":"हल्का लड़ाकू हेलीकॉप्टर","imageUrl":null},{"key":"d","text":"Transport aircraft","textHi":"परिवहन विमान","imageUrl":null}],"correct":"c","sol":"Indigenous defence aircraft\n'Prachand' is India's first indigenously designed and built Light Combat Helicopter (LCH), made by Hindustan Aeronautics Limited.\nIt was formally inducted into the Indian Air Force at Jodhpur in October 2022 and is also flown by the Indian Army.\nIt is the only attack helicopter in the world that can take off and land at heights above 5,000 m, which makes it fit for Siachen and eastern Ladakh.\nIt carries a pilot and a co-pilot, so it is neither an unmanned vehicle nor a trainer or transport machine.\nHence option (c) is correct.","solHi":"स्वदेशी रक्षा विमान\n'प्रचंड' भारत का पहला स्वदेशी रूप से अभिकल्पित एवं निर्मित हल्का लड़ाकू हेलीकॉप्टर (LCH) है, जिसे हिंदुस्तान एयरोनॉटिक्स लिमिटेड ने बनाया है।\nइसे अक्टूबर 2022 में जोधपुर में औपचारिक रूप से भारतीय वायु सेना में शामिल किया गया तथा भारतीय थल सेना भी इसका उपयोग करती है।\nयह विश्व का एकमात्र आक्रमणकारी हेलीकॉप्टर है जो 5,000 m से अधिक ऊँचाई पर उड़ान भर तथा उतर सकता है, जिससे यह सियाचिन एवं पूर्वी लद्दाख के लिए उपयुक्त है।\nइसमें एक पायलट तथा एक सह-पायलट होते हैं, अतः यह न तो मानवरहित वाहन है और न ही प्रशिक्षक या परिवहन विमान।\nअतः सही विकल्प (c) है।","pos":2,"neg":0.5},{"id":12593,"n":93,"subject":"General Awareness","stem":"Why is a low level of foreign exchange reserves considered a serious concern for India?","stemHi":"भारत के लिए विदेशी मुद्रा भंडार का निम्न स्तर गंभीर चिंता का विषय क्यों माना जाता है?","context":null,"contextHi":null,"options":[{"key":"a","text":"It encourages excessive foreign tourism","textHi":"यह अत्यधिक विदेशी पर्यटन को प्रोत्साहित करता है","imageUrl":null},{"key":"b","text":"It restricts domestic tax collection","textHi":"यह घरेलू कर संग्रह को सीमित करता है","imageUrl":null},{"key":"c","text":"It limits the country's ability to import essential goods for long periods","textHi":"यह लंबी अवधि तक आवश्यक वस्तुओं का आयात करने की देश की क्षमता को सीमित कर देता है","imageUrl":null},{"key":"d","text":"It increases government spending Automatically","textHi":"यह सरकारी व्यय को स्वतः बढ़ा देता है","imageUrl":null}],"correct":"c","sol":"Foreign exchange reserves\nForeign exchange reserves are the stock of foreign currency assets, gold, SDRs and the reserve tranche with the IMF held by the RBI, and it is out of these that the country pays its import bills.\nTheir strength is judged by the 'import cover' - the number of months of imports the reserves can finance.\nIf reserves are low, essential imports such as crude oil, fertilisers, edible oil and medicines can be paid for only for a short period, the rupee weakens and a balance of payments crisis becomes possible, as happened in 1991.\nTax collection, tourism and government expenditure are domestic matters that the reserve level does not decide, so the other options do not hold.\nHence option (c) is correct.","solHi":"विदेशी मुद्रा भंडार\nविदेशी मुद्रा भंडार में RBI के पास रखी विदेशी मुद्रा परिसंपत्तियाँ, स्वर्ण, SDR तथा IMF में रिज़र्व ट्रांच शामिल होते हैं, और इन्हीं से देश अपने आयात का भुगतान करता है।\nइनकी पर्याप्तता 'आयात आवरण' (import cover) से आँकी जाती है - अर्थात् भंडार से कितने महीनों के आयात का भुगतान संभव है।\nयदि भंडार कम हो, तो कच्चा तेल, उर्वरक, खाद्य तेल तथा दवाओं जैसे आवश्यक आयातों का भुगतान केवल थोड़े समय तक ही किया जा सकता है, रुपया कमजोर होता है तथा भुगतान संतुलन संकट की स्थिति बन सकती है, जैसा 1991 में हुआ था।\nकर संग्रह, पर्यटन तथा सरकारी व्यय घरेलू विषय हैं, जिन्हें भंडार का स्तर तय नहीं करता, अतः शेष विकल्प उपयुक्त नहीं हैं।\nअतः सही विकल्प (c) है।","pos":2,"neg":0.5},{"id":12594,"n":94,"subject":"General Awareness","stem":"Which statement correctly explains the nature of government receipts obtained through borrowing and disinvestment of assets?","stemHi":"कौन-सा कथन उधार लेने तथा परिसंपत्तियों के विनिवेश से प्राप्त सरकारी प्राप्तियों की प्रकृति की सही व्याख्या करता है?","context":null,"contextHi":null,"options":[{"key":"a","text":"Borrowing increases future obligations, while asset sale does not","textHi":"उधार लेने से भविष्य के दायित्व बढ़ते हैं, जबकि परिसंपत्ति की बिक्री से नहीं","imageUrl":null},{"key":"b","text":"Asset sale creates repayment liability, while borrowing does not","textHi":"परिसंपत्ति की बिक्री से चुकौती का दायित्व उत्पन्न होता है, जबकि उधार लेने से नहीं","imageUrl":null},{"key":"c","text":"Both borrowing and asset sale are treated as revenue receipts","textHi":"उधार लेना तथा परिसंपत्ति की बिक्री, दोनों को राजस्व प्राप्तियाँ माना जाता है","imageUrl":null},{"key":"d","text":"Neither borrowing nor asset sale affects government liabilities","textHi":"न तो उधार लेना और न ही परिसंपत्ति की बिक्री सरकारी दायित्वों को प्रभावित करती है","imageUrl":null}],"correct":"a","sol":"Capital receipts\nA receipt is a capital receipt when it either creates a liability for the government or reduces its assets; borrowing and disinvestment do exactly these two things.\n $\"figure\"/$ \nBorrowing has to be repaid with interest, so it adds to the government's future obligations.\nDisinvestment brings in money by giving up ownership of an asset; nothing has to be repaid, so no liability is created, though the asset base shrinks.\nBoth are capital and not revenue receipts, which rules out option (c), and option (b) reverses the two.\nHence option (a) is correct.","solHi":"पूँजीगत प्राप्तियाँ\nकोई प्राप्ति पूँजीगत प्राप्ति तब होती है जब वह या तो सरकार के लिए दायित्व उत्पन्न करे या उसकी परिसंपत्तियों को घटाए; उधार लेना तथा विनिवेश ठीक यही दो कार्य करते हैं।\n $\"figure\"/$ \nउधार ली गई राशि ब्याज सहित लौटानी पड़ती है, अतः इससे सरकार के भविष्य के दायित्व बढ़ते हैं।\nविनिवेश में परिसंपत्ति का स्वामित्व छोड़कर धन प्राप्त किया जाता है; इसमें कुछ लौटाना नहीं पड़ता, अतः कोई दायित्व उत्पन्न नहीं होता, यद्यपि परिसंपत्ति-आधार घट जाता है।\nदोनों ही पूँजीगत प्राप्तियाँ हैं, राजस्व प्राप्तियाँ नहीं, जिससे विकल्प (c) निरस्त हो जाता है, तथा विकल्प (b) दोनों को उलट देता है।\nअतः सही विकल्प (a) है।","pos":2,"neg":0.5},{"id":12595,"n":95,"subject":"General Awareness","stem":"Which city served as the\nadministrative capital of Tipu Sultan's kingdom?","stemHi":"कौन-सा नगर टीपू सुल्तान के राज्य की प्रशासनिक राजधानी था?","context":null,"contextHi":null,"options":[{"key":"a","text":"Mysuru","textHi":"मैसूरु","imageUrl":null},{"key":"b","text":"Srirangapatna","textHi":"श्रीरंगपट्टनम","imageUrl":null},{"key":"c","text":"Bengaluru","textHi":"बेंगलुरु","imageUrl":null},{"key":"d","text":"Hassan","textHi":"हासन","imageUrl":null}],"correct":"b","sol":"Tipu Sultan's capital\nSrirangapatna, an island town on the Kaveri in present-day Karnataka, was the administrative capital of Tipu Sultan's kingdom of Mysore.\nTipu Sultan (1750-1799), the 'Tiger of Mysore' and son of Haidar Ali, fortified the town, built the Daria Daulat Bagh summer palace there and used iron-cased rockets against the British.\nHe died defending Srirangapatna in the Fourth Anglo-Mysore War of 1799.\nMysuru was the older royal seat of the Wodeyars and Bengaluru a fort and trade town, so neither served as his capital.\nHence option (b) is correct.","solHi":"टीपू सुल्तान की राजधानी\nवर्तमान कर्नाटक में कावेरी नदी के द्वीप पर बसा श्रीरंगपट्टनम टीपू सुल्तान के मैसूर राज्य की प्रशासनिक राजधानी था।\nटीपू सुल्तान (1750-1799), जिन्हें 'मैसूर का शेर' कहा जाता है और जो हैदर अली के पुत्र थे, ने इस नगर की किलेबंदी की, यहाँ दरिया दौलत बाग ग्रीष्म महल बनवाया तथा अंग्रेजों के विरुद्ध लोहे के आवरण वाले रॉकेटों का प्रयोग किया।\n1799 के चतुर्थ आंग्ल-मैसूर युद्ध में श्रीरंगपट्टनम की रक्षा करते हुए उनकी मृत्यु हुई।\nमैसूरु वाडियार वंश की पुरानी राजधानी तथा बेंगलुरु एक दुर्ग एवं व्यापारिक नगर था, अतः इनमें से कोई उनकी राजधानी नहीं थी।\nअतः सही विकल्प (b) है।","pos":2,"neg":0.5},{"id":12596,"n":96,"subject":"General Awareness","stem":"National Highways in India account for only a small share of the total road network but carry a disproportionately high volume of traffic. Approximately what percentage of the total road length do they constitute?","stemHi":"भारत में राष्ट्रीय राजमार्ग कुल सड़क नेटवर्क का केवल एक छोटा भाग हैं, फिर भी वे असमान रूप से अधिक यातायात वहन करते हैं। कुल सड़क लंबाई का लगभग कितने प्रतिशत भाग वे बनाते हैं?","context":null,"contextHi":null,"options":[{"key":"a","text":"1%","textHi":null,"imageUrl":null},{"key":"b","text":"2%","textHi":null,"imageUrl":null},{"key":"c","text":"5%","textHi":null,"imageUrl":null},{"key":"d","text":"10%","textHi":null,"imageUrl":null}],"correct":"b","sol":"National Highways share\nNational Highways make up only about 2 per cent of India's total road length.\nYet they carry close to 40 per cent of the country's road traffic, because they link the state capitals, major ports, industrial towns and the borders.\nThat mismatch is why they are widened and maintained on priority under programmes such as Bharatmala Pariyojana.\nThey are developed and managed by the National Highways Authority of India (NHAI), set up under the NHAI Act of 1988 and operational from 1995, under the Ministry of Road Transport and Highways.\nHence option (b) is correct.","solHi":"राष्ट्रीय राजमार्गों का हिस्सा\nराष्ट्रीय राजमार्ग भारत की कुल सड़क लंबाई का लगभग 2 प्रतिशत ही हैं।\nफिर भी वे देश के सड़क यातायात का लगभग 40 प्रतिशत वहन करते हैं, क्योंकि ये राज्यों की राजधानियों, प्रमुख बंदरगाहों, औद्योगिक नगरों तथा सीमाओं को जोड़ते हैं।\nइसी असंतुलन के कारण भारतमाला परियोजना जैसी योजनाओं के अंतर्गत इनका चौड़ीकरण एवं रखरखाव प्राथमिकता से किया जाता है।\nइनका विकास एवं प्रबंधन भारतीय राष्ट्रीय राजमार्ग प्राधिकरण (NHAI) करता है, जिसकी स्थापना NHAI अधिनियम, 1988 के अंतर्गत हुई तथा जो 1995 से कार्यरत है और सड़क परिवहन एवं राजमार्ग मंत्रालय के अधीन है।\nअतः सही विकल्प (b) है।","pos":2,"neg":0.5},{"id":12597,"n":97,"subject":"General Awareness","stem":"On whose ideas was the Second Five Year Plan of India based?","stemHi":"भारत की द्वितीय पंचवर्षीय योजना किसके विचारों पर आधारित थी?","context":null,"contextHi":null,"options":[{"key":"a","text":"D. R. Gadgil","textHi":"डी. आर. गाडगिल","imageUrl":null},{"key":"b","text":"Amartya Sen","textHi":"अमर्त्य सेन","imageUrl":null},{"key":"c","text":"Prasanta Chandra Mahalanobis","textHi":"प्रशांत चंद्र महालनोबिस","imageUrl":null},{"key":"d","text":"V. K. R. V. Rao","textHi":"वी. के. आर. वी. राव","imageUrl":null}],"correct":"c","sol":"Second Five Year Plan\nThe Second Five Year Plan (1956-61) was built on the Mahalanobis model, prepared by the statistician Prasanta Chandra Mahalanobis.\nThe model argued that a poor country grows faster in the long run if it first builds capital goods and heavy industries in the public sector, so steel plants at Bhilai, Rourkela and Durgapur came up under this plan.\nIt is therefore also called the Industrial Plan or the Nehru-Mahalanobis Plan; Mahalanobis also founded the Indian Statistical Institute.\nD. R. Gadgil is remembered for the Gadgil formula for central assistance to states, Amartya Sen for welfare economics and V. K. R. V. Rao for national income estimation.\nHence option (c) is correct.","solHi":"द्वितीय पंचवर्षीय योजना\nद्वितीय पंचवर्षीय योजना (1956-61) महालनोबिस मॉडल पर आधारित थी, जिसे सांख्यिकीविद् प्रशांत चंद्र महालनोबिस ने तैयार किया था।\nइस मॉडल का तर्क था कि कोई निर्धन देश दीर्घकाल में तभी तेजी से बढ़ता है जब वह पहले सार्वजनिक क्षेत्र में पूँजीगत वस्तु तथा भारी उद्योग खड़े करे; इसी योजना में भिलाई, राउरकेला तथा दुर्गापुर के इस्पात संयंत्र स्थापित हुए।\nइसीलिए इसे औद्योगिक योजना अथवा नेहरू-महालनोबिस योजना भी कहा जाता है; महालनोबिस ने भारतीय सांख्यिकी संस्थान की स्थापना भी की थी।\nडी. आर. गाडगिल राज्यों को केंद्रीय सहायता के वितरण हेतु 'गाडगिल सूत्र' के लिए, अमर्त्य सेन कल्याण अर्थशास्त्र के लिए तथा वी. के. आर. वी. राव राष्ट्रीय आय आकलन के लिए जाने जाते हैं।\nअतः सही विकल्प (c) है।","pos":2,"neg":0.5},{"id":12598,"n":98,"subject":"General Awareness","stem":"Which of the following objectives were emphasized under the Industrial Policy announced in 1991?\nI. Reduction of industrial licensing and encouragement of foreign capital\nII. Provision for closure of inefficient private enterprises with safeguards for workers","stemHi":"1991 में घोषित औद्योगिक नीति के अंतर्गत निम्नलिखित में से किन उद्देश्यों पर बल दिया गया था?\nI. औद्योगिक लाइसेंसिंग में कमी तथा विदेशी पूँजी को प्रोत्साहन\nII. श्रमिकों के हितों की सुरक्षा के साथ अक्षम निजी उद्यमों को बंद करने का प्रावधान","context":null,"contextHi":null,"options":[{"key":"a","text":"Only statement I","textHi":"केवल कथन I","imageUrl":null},{"key":"b","text":"Only statement II","textHi":"केवल कथन II","imageUrl":null},{"key":"c","text":"Both statements I and II","textHi":"कथन I और II दोनों","imageUrl":null},{"key":"d","text":"Neither statement I nor II","textHi":"न तो कथन I और न ही कथन II","imageUrl":null}],"correct":"c","sol":"New Industrial Policy 1991\nThe New Industrial Policy of July 1991 abolished industrial licensing for all but a short list of industries and allowed foreign equity up to 51 per cent automatically in high-priority industries, so statement I is correct.\nThe same policy accepted an exit route: unviable and sick units could be closed, and the National Renewal Fund was created to retrain, redeploy and compensate the workers affected, so statement II is correct as well.\nTogether with liberalisation of the public sector's reserved list and disinvestment, these steps mark the shift from a controlled economy to a market-driven one.\nHence both statements are correct, option (c).","solHi":"नई औद्योगिक नीति 1991\nजुलाई 1991 की नई औद्योगिक नीति ने कुछ चुनिंदा उद्योगों को छोड़कर औद्योगिक लाइसेंसिंग समाप्त कर दी तथा उच्च-प्राथमिकता वाले उद्योगों में 51 प्रतिशत तक विदेशी इक्विटी की स्वतः अनुमति दी, अतः कथन I सही है।\nइसी नीति ने निकास (exit) मार्ग को स्वीकार किया: अलाभकारी एवं रुग्ण इकाइयाँ बंद की जा सकती थीं तथा प्रभावित श्रमिकों के पुनर्प्रशिक्षण, पुनर्नियोजन एवं क्षतिपूर्ति हेतु राष्ट्रीय नवीकरण कोष बनाया गया, अतः कथन II भी सही है।\nसार्वजनिक क्षेत्र के लिए आरक्षित उद्योगों की सूची में कटौती तथा विनिवेश के साथ मिलकर ये कदम नियंत्रित अर्थव्यवस्था से बाजार-आधारित अर्थव्यवस्था की ओर बदलाव को दर्शाते हैं।\nअतः दोनों कथन सही हैं, अर्थात् विकल्प (c)।","pos":2,"neg":0.5},{"id":12599,"n":99,"subject":"General Awareness","stem":"Which of the following are recognized forms of rural settlement patterns?\nI. Clustered settlement\nII. Scattered settlement","stemHi":"निम्नलिखित में से कौन-से ग्रामीण अधिवास प्रतिरूप के मान्यता प्राप्त रूप हैं?\nI. गुच्छित अधिवास\nII. प्रकीर्ण अधिवास","context":null,"contextHi":null,"options":[{"key":"a","text":"Only statement I","textHi":"केवल कथन I","imageUrl":null},{"key":"b","text":"Only statement II","textHi":"केवल कथन II","imageUrl":null},{"key":"c","text":"Both statements I and II","textHi":"कथन I और II दोनों","imageUrl":null},{"key":"d","text":"Neither statement I nor II","textHi":"न तो कथन I और न ही कथन II","imageUrl":null}],"correct":"c","sol":"Rural settlement patterns\nRural settlements are classified by how closely the houses stand together, and both the given forms are standard types.\n $\"figure\"/$ \nIn a clustered (nucleated) settlement the houses form one compact block, usually on fertile plains, around a water source or for security.\nIn a scattered (dispersed) settlement the houses lie far apart among fields, on hill slopes or in forests, as in tribal and hilly tracts.\nSemi-clustered and hamleted settlements are the other two recognised patterns, so statement I and statement II are both correct.\nHence option (c) is correct.","solHi":"ग्रामीण अधिवास प्रतिरूप\nग्रामीण अधिवासों का वर्गीकरण इस आधार पर किया जाता है कि घर एक-दूसरे के कितने निकट बसे हैं, और दिए गए दोनों रूप मानक प्रकार हैं।\n $\"figure\"/$ \nगुच्छित (संकेंद्रित) अधिवास में घर एक सघन समूह के रूप में बसे होते हैं, प्रायः उपजाऊ मैदानों में, जल-स्रोत के आसपास या सुरक्षा की दृष्टि से।\nप्रकीर्ण (बिखरे हुए) अधिवास में घर खेतों, पहाड़ी ढालों या वनों के बीच दूर-दूर बसे होते हैं, जैसा जनजातीय एवं पर्वतीय क्षेत्रों में होता है।\nअर्ध-गुच्छित तथा पल्ली (हैमलेटेड) अधिवास अन्य दो मान्यता प्राप्त प्रतिरूप हैं, अतः कथन I तथा कथन II दोनों सही हैं।\nअतः सही विकल्प (c) है।","pos":2,"neg":0.5},{"id":12600,"n":100,"subject":"General Awareness","stem":"During the fermentation process, pyruvate is converted into which of the following end products?","stemHi":"किण्वन की प्रक्रिया के दौरान पाइरुवेट निम्नलिखित में से किन अंत-उत्पादों में परिवर्तित होता है?","context":null,"contextHi":null,"options":[{"key":"a","text":"Lactic acid and oxygen","textHi":"लैक्टिक अम्ल और ऑक्सीजन","imageUrl":null},{"key":"b","text":"Ethanol and carbon dioxide","textHi":"इथेनॉल और कार्बन डाइऑक्साइड","imageUrl":null},{"key":"c","text":"Acetic acid and hydrogen","textHi":"एसिटिक अम्ल और हाइड्रोजन","imageUrl":null},{"key":"d","text":"Glucose and water","textHi":"ग्लूकोज और जल","imageUrl":null}],"correct":"b","sol":"Fermentation products\nGlycolysis first breaks one molecule of glucose into two molecules of pyruvate in the cytoplasm; what happens to that pyruvate next depends on oxygen.\n $\"figure\"/$ \nIn fermentation, which is anaerobic, yeast decarboxylates and reduces pyruvate to ethanol and carbon dioxide - the reaction used in brewing and in the rising of bread.\nThe step regenerates

{NAD}^{+}

, without which glycolysis itself would stop for want of an oxidising agent.\nOur muscle cells run a different fermentation that gives lactic acid, and oxygen is never released in fermentation, so options (a), (c) and (d) fail.\nHence option (b) is correct.","solHi":"किण्वन के उत्पाद\nग्लाइकोलिसिस में सर्वप्रथम कोशिकाद्रव्य में ग्लूकोज का एक अणु पाइरुवेट के दो अणुओं में टूटता है; इसके आगे पाइरुवेट का क्या होगा, यह ऑक्सीजन पर निर्भर करता है।\n $\"figure\"/$ \nकिण्वन अवायवीय प्रक्रिया है, जिसमें यीस्ट पाइरुवेट का विकार्बोक्सिलीकरण एवं अपचयन करके उसे इथेनॉल तथा कार्बन डाइऑक्साइड में बदल देता है - यही अभिक्रिया मदिरा निर्माण तथा ब्रेड के फूलने में काम आती है।\nइस पद में

{NAD}^{+}

पुनः बनता है, जिसके बिना ऑक्सीकारक के अभाव में ग्लाइकोलिसिस ही रुक जाती।\nहमारी पेशी कोशिकाओं में होने वाले किण्वन से लैक्टिक अम्ल बनता है तथा किण्वन में ऑक्सीजन कभी मुक्त नहीं होती, अतः विकल्प (a), (c) तथा (d) गलत हैं।\nअतः सही विकल्प (b) है।","pos":2,"neg":0.5}],"test":{"slug":"ssc-chsl-tier-1--30-nov-2025-shift-3","title":"SSC CHSL Tier-1 30 November 2025 Shift-3 Previous Year Paper","examName":"CHSL Tier-1","paperLabel":"30 November 2025 · Shift 3","sectionSubject":null,"durationMinutes":60,"format":"full_test"}}]