27:I[81166,["/_next/static/immutable/chunks/2corl6wyj4669.js","/_next/static/immutable/chunks/38n271cv4vmyv.js","/_next/static/immutable/chunks/2pf73jja2520w.js"],"default"] 28:T81c,Directions (Qs. 7-11): Read the following passage carefully and answer the questions that follow. The concept of urbanization has always been linked to economic growth and the modernization of society. Every industrial shift has triggered massive migrations that have redefined community life in history. From the Industrial Revolution to the rise of megacities, urban expansion has molded the way we reside, trade, and interact. But with our entry into an era of smart cities, high-density living, and digital infrastructure comes a growing contradiction: while these metropolises offer unmatched opportunities and amenities, they also strain traditional community bonds and erode the very essence of connection with nature. Urban development, fundamentally, has provided access to resources much superior. Infrastructure improvements like mass transit and modern healthcare centers hold the potential to elevate lifestyles that were once considered unattainable. Cultural integration has made cities think collectively in ways that isolated regions could not have envisioned years ago, with diverse populations able to coexist across backgrounds with relative closeness. But the same urbanization has heavy repercussions. Gentrification is displacing residents from affordable housing, particularly where property values can be monetized. The pace of development has left many marginalized, and with it there is a feeling of alienation, anxiety about the environment. Furthermore, our reliance on dense urban systems is generating fundamental questions regarding sustainability, pollution, and mental well-being. As we embed concrete into every landscape, we must pause and ask ourselves: are we designing cities for people, or are people merely fueling the cities? The dilemma of urbanization, therefore, lies in its dual character. On one hand, the city stands as a beacon of economic hope for humanity's greatest aspirations, yet it also introduces ecological challenges that society must address to ensure development implies a more livable and balanced tomorrow.29:T81c,Directions (Qs. 7-11): Read the following passage carefully and answer the questions that follow. The concept of urbanization has always been linked to economic growth and the modernization of society. Every industrial shift has triggered massive migrations that have redefined community life in history. From the Industrial Revolution to the rise of megacities, urban expansion has molded the way we reside, trade, and interact. But with our entry into an era of smart cities, high-density living, and digital infrastructure comes a growing contradiction: while these metropolises offer unmatched opportunities and amenities, they also strain traditional community bonds and erode the very essence of connection with nature. Urban development, fundamentally, has provided access to resources much superior. Infrastructure improvements like mass transit and modern healthcare centers hold the potential to elevate lifestyles that were once considered unattainable. Cultural integration has made cities think collectively in ways that isolated regions could not have envisioned years ago, with diverse populations able to coexist across backgrounds with relative closeness. But the same urbanization has heavy repercussions. Gentrification is displacing residents from affordable housing, particularly where property values can be monetized. The pace of development has left many marginalized, and with it there is a feeling of alienation, anxiety about the environment. Furthermore, our reliance on dense urban systems is generating fundamental questions regarding sustainability, pollution, and mental well-being. As we embed concrete into every landscape, we must pause and ask ourselves: are we designing cities for people, or are people merely fueling the cities? The dilemma of urbanization, therefore, lies in its dual character. On one hand, the city stands as a beacon of economic hope for humanity's greatest aspirations, yet it also introduces ecological challenges that society must address to ensure development implies a more livable and balanced tomorrow.2a:T81c,Directions (Qs. 7-11): Read the following passage carefully and answer the questions that follow. The concept of urbanization has always been linked to economic growth and the modernization of society. Every industrial shift has triggered massive migrations that have redefined community life in history. From the Industrial Revolution to the rise of megacities, urban expansion has molded the way we reside, trade, and interact. But with our entry into an era of smart cities, high-density living, and digital infrastructure comes a growing contradiction: while these metropolises offer unmatched opportunities and amenities, they also strain traditional community bonds and erode the very essence of connection with nature. Urban development, fundamentally, has provided access to resources much superior. Infrastructure improvements like mass transit and modern healthcare centers hold the potential to elevate lifestyles that were once considered unattainable. Cultural integration has made cities think collectively in ways that isolated regions could not have envisioned years ago, with diverse populations able to coexist across backgrounds with relative closeness. But the same urbanization has heavy repercussions. Gentrification is displacing residents from affordable housing, particularly where property values can be monetized. The pace of development has left many marginalized, and with it there is a feeling of alienation, anxiety about the environment. Furthermore, our reliance on dense urban systems is generating fundamental questions regarding sustainability, pollution, and mental well-being. As we embed concrete into every landscape, we must pause and ask ourselves: are we designing cities for people, or are people merely fueling the cities? The dilemma of urbanization, therefore, lies in its dual character. On one hand, the city stands as a beacon of economic hope for humanity's greatest aspirations, yet it also introduces ecological challenges that society must address to ensure development implies a more livable and balanced tomorrow.2b:T81c,Directions (Qs. 7-11): Read the following passage carefully and answer the questions that follow. The concept of urbanization has always been linked to economic growth and the modernization of society. Every industrial shift has triggered massive migrations that have redefined community life in history. From the Industrial Revolution to the rise of megacities, urban expansion has molded the way we reside, trade, and interact. But with our entry into an era of smart cities, high-density living, and digital infrastructure comes a growing contradiction: while these metropolises offer unmatched opportunities and amenities, they also strain traditional community bonds and erode the very essence of connection with nature. Urban development, fundamentally, has provided access to resources much superior. Infrastructure improvements like mass transit and modern healthcare centers hold the potential to elevate lifestyles that were once considered unattainable. Cultural integration has made cities think collectively in ways that isolated regions could not have envisioned years ago, with diverse populations able to coexist across backgrounds with relative closeness. But the same urbanization has heavy repercussions. Gentrification is displacing residents from affordable housing, particularly where property values can be monetized. The pace of development has left many marginalized, and with it there is a feeling of alienation, anxiety about the environment. Furthermore, our reliance on dense urban systems is generating fundamental questions regarding sustainability, pollution, and mental well-being. As we embed concrete into every landscape, we must pause and ask ourselves: are we designing cities for people, or are people merely fueling the cities? The dilemma of urbanization, therefore, lies in its dual character. On one hand, the city stands as a beacon of economic hope for humanity's greatest aspirations, yet it also introduces ecological challenges that society must address to ensure development implies a more livable and balanced tomorrow.2c:T81c,Directions (Qs. 7-11): Read the following passage carefully and answer the questions that follow. The concept of urbanization has always been linked to economic growth and the modernization of society. Every industrial shift has triggered massive migrations that have redefined community life in history. From the Industrial Revolution to the rise of megacities, urban expansion has molded the way we reside, trade, and interact. But with our entry into an era of smart cities, high-density living, and digital infrastructure comes a growing contradiction: while these metropolises offer unmatched opportunities and amenities, they also strain traditional community bonds and erode the very essence of connection with nature. Urban development, fundamentally, has provided access to resources much superior. Infrastructure improvements like mass transit and modern healthcare centers hold the potential to elevate lifestyles that were once considered unattainable. Cultural integration has made cities think collectively in ways that isolated regions could not have envisioned years ago, with diverse populations able to coexist across backgrounds with relative closeness. But the same urbanization has heavy repercussions. Gentrification is displacing residents from affordable housing, particularly where property values can be monetized. The pace of development has left many marginalized, and with it there is a feeling of alienation, anxiety about the environment. Furthermore, our reliance on dense urban systems is generating fundamental questions regarding sustainability, pollution, and mental well-being. As we embed concrete into every landscape, we must pause and ask ourselves: are we designing cities for people, or are people merely fueling the cities? The dilemma of urbanization, therefore, lies in its dual character. On one hand, the city stands as a beacon of economic hope for humanity's greatest aspirations, yet it also introduces ecological challenges that society must address to ensure development implies a more livable and balanced tomorrow.2d:T789,Odd pair out Test each pair for the rule 'squares of two consecutive natural numbers'.

49 = 7^{2}

and

64 = 8^{2}

;

121 = 11^{2}

and

144 = 12^{2}

;

36 = 6^{2}

and

49 = 7^{2}

— all three pairs obey the rule. In 15, 22 neither number is a perfect square, since

3^{2} = 9

4^{2} = 16

and

5^{2} = 25

Hence 15, 22 is the odd pair and option (b) is correct.2e:T924,बेमेल युग्म प्रत्येक युग्म को इस नियम पर जाँचिए कि वे 'दो क्रमागत प्राकृत संख्याओं के वर्ग' हैं या नहीं।

49 = 7^{2}

और

64 = 8^{2}

;

121 = 11^{2}

और

144 = 12^{2}

;

36 = 6^{2}

और

49 = 7^{2}

— ये तीनों युग्म नियम का पालन करते हैं। 15, 22 में कोई भी संख्या पूर्ण वर्ग नहीं है, क्योंकि

3^{2} = 9

4^{2} = 16

और

5^{2} = 25

होते हैं।

अतः 15, 22 बेमेल युग्म है और विकल्प (b) सही है।2f:T4f1,Symbol substitution

Putting the real signs in place of the symbols, the expression becomes

14 \div 28 + 8 - 24

. By BODMAS the division is done first:

14 \div 28 = \frac{1}{2}

. Now

\frac{1}{2} + 8 - 24 = \frac{1 + 16 - 48}{2}

\frac{1 + 16 - 48}{2} = \frac{- 31}{2}

. Hence option (b) is correct.30:T5b6,चिह्न प्रतिस्थापन

प्रतीकों के स्थान पर वास्तविक चिह्न रखने पर व्यंजक बनता है

14 \div 28 + 8 - 24

। BODMAS के अनुसार पहले भाग किया जाएगा:

14 \div 28 = \frac{1}{2}

। अब

\frac{1}{2} + 8 - 24 = \frac{1 + 16 - 48}{2}

।

\frac{1 + 16 - 48}{2} = \frac{- 31}{2}

। अतः विकल्प (b) सही है।31:T421,Embedded figure The given figure is a square whose inner square is cut by a middle vertical line, and each half carries a diagonal cross. The piece has to be found without turning it, so its lengths and slopes must match those of the figure exactly. Option (a) is a horizontal stroke as long as half the inner square, followed by a V whose arms are as steep as the diagonals of a half-square.

The top edge of the left half, then the diagonal running from the top-middle corner down to the centre of the right half, and then the part of the other diagonal rising to the top-right corner trace option (a) exactly. In (b) and (c) the strokes meet at right angles and in (d) the slant is

45^{\circ}

, and the figure has no such lines, so option (a) is correct.32:T442,Number table logic Read the table row by row: the fourth number is built from the first three. Row 1:

(8 + 6 + 4) \times 2 = 18 \times 2 = 36

. Row 2:

(9 + 8 + 5) \times 2 = 22 \times 2 = 44

Row 3:

(? + 6 + 7) \times 2 = 32

, so ?+13=16. Hence ?=3, so option (b) is correct.33:T53b,संख्या-तालिका तर्क तालिका को पंक्ति-दर-पंक्ति पढ़िए: चौथी संख्या पहली तीन संख्याओं से बनती है। पंक्ति 1:

(8 + 6 + 4) \times 2 = 18 \times 2 = 36

। पंक्ति 2:

(9 + 8 + 5) \times 2 = 22 \times 2 = 44

।

पंक्ति 3:

(? + 6 + 7) \times 2 = 32

, अतः ?+13=16। इसलिए ?=3, अतः विकल्प (b) सही है।34:T507,Partnership In a partnership the capital is counted month by month, so multiply every amount by the months it stayed in the business. P

= 10000 \times 12 = 120000

. Q

= 12000 \times 6 + 8000 \times 6 = 72000 + 48000 = 120000

. R

= 16000 \times 6 + 24000 \times 6 = 96000 + 144000 = 240000

Ratio of the shares =120000:120000:240000=1:1:2. R's share

= 84000 \times \frac{2}{4} = 42000

, so R received ₹42,000 and option (c) is correct.35:T627,साझेदारी साझेदारी में पूँजी महीनों के हिसाब से गिनी जाती है, अतः प्रत्येक राशि को उसके व्यवसाय में लगे रहने के महीनों से गुणा कीजिए। P

= 10000 \times 12 = 120000

। Q

= 12000 \times 6 + 8000 \times 6 = 72000 + 48000 = 120000

। R

= 16000 \times 6 + 24000 \times 6 = 96000 + 144000 = 240000

।

भागों का अनुपात =120000:120000:240000=1:1:2। R का भाग

= 84000 \times \frac{2}{4} = 42000

, अतः R को ₹42,000 मिले और विकल्प (c) सही है।36:T57c,Trigonometric identity Write each part with sine and cosine only:

c o s e c x = \frac{1}{\sin x}

and

\sec x = \frac{1}{\cos x}

. So the expression

= \frac{\cos x}{\sin x} + \frac{\sin x}{\cos x}

. Now

\frac{\cos x}{\sin x} = \cot x

and

\frac{\sin x}{\cos x} = \tan x

. Hence the expression

= \cot x + \tan x

, so option (d) is correct.37:T623,त्रिकोणमितीय सर्वसमिका प्रत्येक पद को केवल sine और cosine में लिखिए:

c o s e c x = \frac{1}{\sin x}

तथा

\sec x = \frac{1}{\cos x}

। अतः व्यंजक

= \frac{\cos x}{\sin x} + \frac{\sin x}{\cos x}

। अब

\frac{\cos x}{\sin x} = \cot x

और

\frac{\sin x}{\cos x} = \tan x

। अतः व्यंजक

= \cot x + \tan x

, इसलिए विकल्प (d) सही है।38:T4ef,Time, speed and distance Let the distance between the home and the shop be d km. Time going

= \frac{d}{7}

hours and time returning

= \frac{d}{5}

hours.

\frac{d}{7} + \frac{d}{5} = 6

\frac{5 d + 7 d}{35} = 6 \Rightarrow \frac{12 d}{35} = 6

d = \frac{6 \times 35}{12} = 17.5

, so the distance is 17.5 km and option (c) is correct.39:T5a5,समय, चाल और दूरी माना कि घर और दुकान के बीच की दूरी d km है। जाने में लगा समय

= \frac{d}{7}

घंटे और लौटने में लगा समय

= \frac{d}{5}

घंटे।

\frac{d}{7} + \frac{d}{5} = 6

।

\frac{5 d + 7 d}{35} = 6 \Rightarrow \frac{12 d}{35} = 6

।

d = \frac{6 \times 35}{12} = 17.5

, अतः दूरी 17.5 km है और विकल्प (c) सही है।3a:T4a7,Time and work Take the total work as the LCM of 16, 24 and 32, that is 96 units. Then P+Q+R do

\frac{96}{16} = 6

units a day and P+Q do

\frac{96}{24} = 4

units a day. So one day's work of R alone =6-4=2 units.

This fits the third fact too: Q+R do

\frac{96}{32} = 3

units a day, so Q alone does 3-2=1 unit and P alone 4-1=3 units. Time taken by R alone

= \frac{96}{2} = 48

days. Hence option (c) is correct.3b:T6d3,समय और कार्य कुल कार्य को 16, 24 और 32 का लघुत्तम समापवर्त्य अर्थात् 96 इकाई मान लीजिए। तब P+Q+R प्रतिदिन

\frac{96}{16} = 6

इकाई तथा P+Q प्रतिदिन

\frac{96}{24} = 4

इकाई कार्य करते हैं। अतः R का अकेले एक दिन का कार्य =6-4=2 इकाई है।

तीसरा तथ्य भी इससे मेल खाता है: Q+R प्रतिदिन

\frac{96}{32} = 3

इकाई कार्य करते हैं, अतः Q अकेला 3-2=1 इकाई और P अकेला 4-1=3 इकाई कार्य करता है। R द्वारा अकेले लिया गया समय

= \frac{96}{2} = 48

दिन। इसलिए सही विकल्प (c) है।3c:T435,Cuboid — total surface area Let the breadth be b=3 cm; then length l=6b=18 cm and height h=4b=12 cm.

Formula: total surface area =2(lb+bh+hl).

= 2 (18 \times 3 + 3 \times 12 + 12 \times 18)

= 2 (54 + 36 + 216) = 2 \times 306 = 612

So the total surface area is

612 {c m}^{2}

; hence option (b) is correct.3d:T526,घनाभ — कुल पृष्ठीय क्षेत्रफल माना कि चौड़ाई b=3 cm है; तब लंबाई l=6b=18 cm और ऊँचाई h=4b=12 cm होगी।

सूत्र: कुल पृष्ठीय क्षेत्रफल =2(lb+bh+hl)।

= 2 (18 \times 3 + 3 \times 12 + 12 \times 18)

= 2 (54 + 36 + 216) = 2 \times 306 = 612

अतः कुल पृष्ठीय क्षेत्रफल

612 {c m}^{2}

है; इसलिए सही विकल्प (b) है।3e:T516,Surd — perfect square The last number added is one more than the middle number, so use the identity

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

. Here n=1236, so the expression under the root becomes

{(1236 + 1)}^{2} = {(1237)}^{2}

. Therefore its value

= \sqrt{{(1237)}^{2}} = 1237

. Hence option (c) is correct.3f:T633,करणी — पूर्ण वर्ग अंत में जोड़ी गई संख्या बीच वाली संख्या से एक अधिक है, अतः सर्वसमिका

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

का प्रयोग कीजिए। यहाँ n=1236 है, अतः मूल के भीतर का व्यंजक

{(1236 + 1)}^{2} = {(1237)}^{2}

हो जाता है। इसलिए इसका मान

= \sqrt{{(1237)}^{2}} = 1237

। इसलिए सही विकल्प (c) है।40:T669,Mixture — repeated replacement Formula for repeated replacement: juice left

= A {(1 - \frac{x}{A})}^{n}

, where A=60, x=6 and n=2.

= 60 {(1 - \frac{6}{60})}^{2} = 60 {(\frac{9}{10})}^{2}

= 60 \times \frac{81}{100} = 48.6

Check: after the first operation 60-6=54 litres of juice are left; the second draw of 6 litres of mixture removes

\frac{54}{60} \times 6 = 5.4

litres of juice, leaving 54-5.4=48.6 litres. So 48.6 litres of pure juice remain; hence option (c) is correct.41:T7eb,मिश्रण — बार-बार प्रतिस्थापन बार-बार प्रतिस्थापन का सूत्र: शेष जूस

= A {(1 - \frac{x}{A})}^{n}

, जहाँ A=60, x=6 तथा n=2 है।

= 60 {(1 - \frac{6}{60})}^{2} = 60 {(\frac{9}{10})}^{2}

= 60 \times \frac{81}{100} = 48.6

जाँच: पहली प्रक्रिया के बाद 60-6=54 लीटर जूस शेष रहता है; दूसरी बार 6 लीटर मिश्रण निकालने पर

\frac{54}{60} \times 6 = 5.4

लीटर जूस निकल जाता है, अतः 54-5.4=48.6 लीटर शेष रहता है। अतः 48.6 लीटर शुद्ध जूस शेष रहता है; इसलिए सही विकल्प (c) है।42:T4f7,Time and distance The speed is constant, so the time taken is directly proportional to the distance covered.

\frac{3}{7}

of the journey takes 6 hours, so

\frac{1}{7}

of it takes

\frac{6}{3} = 2

hours. The remaining journey is

1 - \frac{3}{7} = \frac{4}{7}

of the whole.

Time needed for it

= 4 \times 2 = 8

hours. Hence option (b) is correct.43:T61c,समय और दूरी चाल नियत है, अतः लिया गया समय तय की गई दूरी के अनुक्रमानुपाती होता है। यात्रा का

\frac{3}{7}

भाग 6 घंटों में तय होता है, अतः

\frac{1}{7}

भाग में

\frac{6}{3} = 2

घंटे लगते हैं। शेष यात्रा

1 - \frac{3}{7} = \frac{4}{7}

भाग है।

इसमें लगने वाला समय

= 4 \times 2 = 8

घंटे। इसलिए सही विकल्प (b) है।44:T869,Centroid of a triangle Formula: for vertices

(x_{1}, y_{1}), (x_{2}, y_{2}), (x_{3}, y_{3})

the centroid is

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

. x-coordinate

= \frac{2 + 3 + 4}{3} = \frac{9}{3} = 3

y-coordinate

= \frac{3 + 6 + 9}{3} = \frac{18}{3} = 6

So the centroid is (3,6); hence option (d) is correct.45:T936,त्रिभुज का केंद्रक सूत्र: शीर्षों

(x_{1}, y_{1}), (x_{2}, y_{2}), (x_{3}, y_{3})

वाले त्रिभुज का केंद्रक

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

होता है। x-निर्देशांक

= \frac{2 + 3 + 4}{3} = \frac{9}{3} = 3

y-निर्देशांक

= \frac{3 + 6 + 9}{3} = \frac{18}{3} = 6

अतः केंद्रक (3,6) है; इसलिए सही विकल्प (d) है।46:T67d,Slope of a line Formula: slope

m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}

. Here

(x_{1}, y_{1}) = (3, 2)

and

(x_{2}, y_{2}) = (5, 12)

m = \frac{12 - 2}{5 - 3} = \frac{10}{2} = 5

So the slope is 5; hence option (d) is correct.47:T6d9,रेखा की ढाल सूत्र: ढाल

m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}

। यहाँ

(x_{1}, y_{1}) = (3, 2)

तथा

(x_{2}, y_{2}) = (5, 12)

है।

m = \frac{12 - 2}{5 - 3} = \frac{10}{2} = 5

अतः ढाल 5 है; इसलिए सही विकल्प (d) है।48:T79e,Quadratic equation Multiply throughout by y(y+1) to clear the denominators:

y \cdot y + (y + 1) = 4 y (y + 1)

y^{2} + y + 1 = 4 y^{2} + 4 y

3 y^{2} + 3 y - 1 = 0

Formula:

y = \frac{- b \pm \sqrt{b^{2} - 4 a c}}{2 a}

with a=3, b=3 and c=-1.

y = \frac{- 3 \pm \sqrt{9 + 12}}{6} = \frac{- 3 \pm \sqrt{21}}{6}

The root offered in the options is

y = \frac{- 3 + \sqrt{21}}{6}

. Hence option (a) is correct.49:T860,द्विघात समीकरण हर हटाने के लिए पूरे समीकरण को y(y+1) से गुणा कीजिए:

y \cdot y + (y + 1) = 4 y (y + 1)

।

y^{2} + y + 1 = 4 y^{2} + 4 y

3 y^{2} + 3 y - 1 = 0

सूत्र:

y = \frac{- b \pm \sqrt{b^{2} - 4 a c}}{2 a}

, जहाँ a=3, b=3 तथा c=-1 है।

y = \frac{- 3 \pm \sqrt{9 + 12}}{6} = \frac{- 3 \pm \sqrt{21}}{6}

विकल्पों में दिया गया मूल

y = \frac{- 3 + \sqrt{21}}{6}

है। इसलिए सही विकल्प (a) है।4a:T6bb,Laws of indices Write the base as a power of 5:

25 = 5^{2}

25^{\frac{3}{2}} = {(5^{2})}^{\frac{3}{2}} = 5^{3} = 125

The second term carries the negative index, so

25^{- \frac{3}{2}} = \frac{1}{25^{\frac{3}{2}}} = \frac{1}{125}

. Adding:

125 + \frac{1}{125} = \frac{125 \times 125 + 1}{125} = \frac{15625 + 1}{125} = \frac{15626}{125}

Hence option (b) is correct.4b:T764,घातांक के नियम आधार को 5 की घात के रूप में लिखिए:

25 = 5^{2}

।

25^{\frac{3}{2}} = {(5^{2})}^{\frac{3}{2}} = 5^{3} = 125

दूसरे पद पर ऋणात्मक घातांक है, अतः

25^{- \frac{3}{2}} = \frac{1}{25^{\frac{3}{2}}} = \frac{1}{125}

। जोड़ने पर:

125 + \frac{1}{125} = \frac{125 \times 125 + 1}{125} = \frac{15625 + 1}{125} = \frac{15626}{125}

इसलिए सही विकल्प (b) है।4c:Te2a,Trigonometric identity Add the two fractions:

\frac{\sin θ}{1 + \cos θ} + \frac{1 + \cos θ}{\sin θ} = \frac{\sin^{2} θ + {(1 + \cos θ)}^{2}}{\sin θ (1 + \cos θ)}

. Numerator

= \sin^{2} θ + \cos^{2} θ + 2 \cos θ + 1 = 1 + 2 \cos θ + 1 = 2 (1 + \cos θ)

. So the left side becomes

\frac{2 (1 + \cos θ)}{\sin θ (1 + \cos θ)} = \frac{2}{\sin θ}

. Hence

\frac{2}{\sin θ} = \frac{4}{\sqrt{3}}

, so

\sin θ = \frac{\sqrt{3}}{2}

and

θ = 60^{\circ}

\tan 60^{\circ} + \sec 60^{\circ} = \sqrt{3} + 2

{(\tan θ + \sec θ)}^{- 1} = \frac{1}{2 + \sqrt{3}} = \frac{2 - \sqrt{3}}{(2 + \sqrt{3}) (2 - \sqrt{3})} = 2 - \sqrt{3}

Hence option (a) is correct.4d:Tee1,त्रिकोणमितीय सर्वसमिका दोनों भिन्नों को जोड़िए:

\frac{\sin θ}{1 + \cos θ} + \frac{1 + \cos θ}{\sin θ} = \frac{\sin^{2} θ + {(1 + \cos θ)}^{2}}{\sin θ (1 + \cos θ)}

। अंश

= \sin^{2} θ + \cos^{2} θ + 2 \cos θ + 1 = 1 + 2 \cos θ + 1 = 2 (1 + \cos θ)

। अतः बायाँ पक्ष

\frac{2 (1 + \cos θ)}{\sin θ (1 + \cos θ)} = \frac{2}{\sin θ}

हो जाता है। इसलिए

\frac{2}{\sin θ} = \frac{4}{\sqrt{3}}

, अतः

\sin θ = \frac{\sqrt{3}}{2}

और

θ = 60^{\circ}

।

\tan 60^{\circ} + \sec 60^{\circ} = \sqrt{3} + 2

{(\tan θ + \sec θ)}^{- 1} = \frac{1}{2 + \sqrt{3}} = \frac{2 - \sqrt{3}}{(2 + \sqrt{3}) (2 - \sqrt{3})} = 2 - \sqrt{3}

इसलिए सही विकल्प (a) है।1d:["$","$L27",null,{"mode":"exam","dropped":1,"bilingual":true,"choiceSubjects":[],"questions":[{"id":11001,"n":1,"subject":"English Language","stem":"Identify the part of the sentence that contains a grammatical error.\nA. The legal advise B. given by the C. lawyer was very D. helpful to us.","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"The legal advise","textHi":null,"imageUrl":null},{"key":"b","text":"given by the","textHi":null,"imageUrl":null},{"key":"c","text":"lawyer was very","textHi":null,"imageUrl":null},{"key":"d","text":"helpful to us","textHi":null,"imageUrl":null}],"correct":"a","sol":"Error spotting: noun form\nAfter the adjective 'legal' the sentence needs a noun, but part A supplies 'advise'.\n'Advise' is a verb meaning to counsel; its noun form is 'advice' — the 'c' word is the thing given, the 's' word is the act of giving it.\nCorrect sentence: 'The legal advice given by the lawyer was very helpful to us.'\nParts B, C and D are grammatically sound, so the error lies in part A.","solHi":null,"pos":2,"neg":0.5},{"id":11002,"n":2,"subject":"English Language","stem":"Fill in the blank with the most appropriate preposition:\nThe quiet environment was conducive\n

____

deep concentration and effective study.","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"for","textHi":null,"imageUrl":null},{"key":"b","text":"in","textHi":null,"imageUrl":null},{"key":"c","text":"to","textHi":null,"imageUrl":null},{"key":"d","text":"with","textHi":null,"imageUrl":null}],"correct":"c","sol":"Preposition after adjective\n'Conducive' is always followed by the preposition 'to' — conducive to growth, conducive to sleep, conducive to study.\nSo the sentence reads: 'The quiet environment was conducive to deep concentration and effective study.'\n'For', 'in' and 'with' never collocate with 'conducive', so they are all ruled out.","solHi":null,"pos":2,"neg":0.5},{"id":11003,"n":3,"subject":"English Language","stem":"Select the most appropriate synonym of the word: TIMELESS","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"Transhistorical","textHi":null,"imageUrl":null},{"key":"b","text":"Temporary","textHi":null,"imageUrl":null},{"key":"c","text":"Contemporary","textHi":null,"imageUrl":null},{"key":"d","text":"Momentary","textHi":null,"imageUrl":null}],"correct":"a","sol":"Synonym\n'Timeless' means untouched by the passage of time — eternal, valid in every age.\n'Transhistorical' means cutting across and beyond all historical periods, so it carries the same 'not tied to any one era' sense.\n $\"figure\"/$ \n'Temporary', 'contemporary' and 'momentary' each tie a thing to one limited stretch of time, so each is closer to an opposite than a synonym.","solHi":null,"pos":2,"neg":0.5},{"id":11004,"n":4,"subject":"English Language","stem":"Choose the correctly spelt word:","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"Introvirseon","textHi":null,"imageUrl":null},{"key":"b","text":"Introverison","textHi":null,"imageUrl":null},{"key":"c","text":"Introversoin","textHi":null,"imageUrl":null},{"key":"d","text":"Introversion","textHi":null,"imageUrl":null}],"correct":"d","sol":"Correct spelling\nThe correct spelling is 'Introversion' — intro- (inward) + version (a turning).\nThe other three only shuffle the vowels at the end: 'Introvirseon', 'Introverison', 'Introversoin'.\nIt names the quality of being focused on one's own inner thoughts rather than on the outside world.","solHi":null,"pos":2,"neg":0.5},{"id":11005,"n":5,"subject":"English Language","stem":"Which of the following sentences uses the word "minute" with the same meaning as in the following sentence?\nPlease wait just one minute while I finish this tack","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"He noticed a minute crack in the expensive glass vase.","textHi":null,"imageUrl":null},{"key":"b","text":"The meeting will start in exactly one minute from now.","textHi":null,"imageUrl":null},{"key":"c","text":"She spent hours studying the minute details of the painting.","textHi":null,"imageUrl":null},{"key":"d","text":"There were minute traces of gold found within the sand.","textHi":null,"imageUrl":null}],"correct":"b","sol":"Homograph usage\nIn the given sentence 'minute' is a noun meaning a unit of time of sixty seconds.\nOption (b) uses exactly that sense: 'The meeting will start in exactly one minute from now.'\n $\"figure\"/$ \nIn (a), (c) and (d) 'minute' is an adjective meaning extremely small, a different word with a different stress and pronunciation.","solHi":null,"pos":2,"neg":0.5},{"id":11006,"n":6,"subject":"English Language","stem":"Choose the incorrectly spelt word:","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"Blatant","textHi":null,"imageUrl":null},{"key":"b","text":"Blister","textHi":null,"imageUrl":null},{"key":"c","text":"Baffled","textHi":null,"imageUrl":null},{"key":"d","text":"Busynis","textHi":null,"imageUrl":null}],"correct":"d","sol":"Incorrect spelling\n'Busynis' is not an English word at all; the correct spelling is 'business' (busi- + -ness).\n'Blatant' (openly obvious), 'Blister' (a swelling on the skin) and 'Baffled' (puzzled) are all spelt correctly.\nSo the incorrectly spelt option is (d).","solHi":null,"pos":2,"neg":0.5},{"id":11007,"n":7,"subject":"English Language","stem":"What is the main contradiction introduced in the passage regarding urbanization?","stemHi":null,"context":"$28","contextHi":null,"options":[{"key":"a","text":"Urbanization creates wealth but destroys all forms of employment","textHi":null,"imageUrl":null},{"key":"b","text":"Urbanization leads to perfect equality among all citizens","textHi":null,"imageUrl":null},{"key":"c","text":"Urbanization offers opportunities and amenities but strains community bonds and nature","textHi":null,"imageUrl":null},{"key":"d","text":"Urbanization solves environmental issues but creates political instability","textHi":null,"imageUrl":null}],"correct":"c","sol":"Reading comprehension\nThe contradiction is stated in the first paragraph: 'while these metropolises offer unmatched opportunities and amenities, they also strain traditional community bonds and erode the very essence of connection with nature.'\nThat is a gain on one side and a loss on the other, which is exactly what option (c) says.\n(a) and (b) overstate the case with 'destroys all forms of employment' and 'perfect equality', neither of which the passage claims.\n(d) reverses the passage, which says cities create ecological problems rather than solve them.","solHi":null,"pos":2,"neg":0.5},{"id":11008,"n":8,"subject":"English Language","stem":"According to the passage, what has been one of the beneficial outcomes of urban development?","stemHi":null,"context":"$29","contextHi":null,"options":[{"key":"a","text":"It has reduced the need for mass transit systems","textHi":null,"imageUrl":null},{"key":"b","text":"Infrastructure improvements and healthcare centers have elevated lifestyles","textHi":null,"imageUrl":null},{"key":"c","text":"It has encouraged people to live in isolated regions","textHi":null,"imageUrl":null},{"key":"d","text":"Urban development has had no impact on cultural integration","textHi":null,"imageUrl":null}],"correct":"b","sol":"Reading comprehension\nThe passage says infrastructure improvements 'like mass transit and modern healthcare centers hold the potential to elevate lifestyles that were once considered unattainable.'\nSo the beneficial outcome it names is better infrastructure and healthcare raising the standard of living — option (b).\n(a) and (c) contradict the passage, which praises mass transit and speaks of migration into cities, and (d) is wrong because cultural integration is credited to cities.","solHi":null,"pos":2,"neg":0.5},{"id":11009,"n":9,"subject":"English Language","stem":"What negative repercussion of urbanization is mentioned in the passage?","stemHi":null,"context":"$2a","contextHi":null,"options":[{"key":"a","text":"It creates a surplus of affordable housing","textHi":null,"imageUrl":null},{"key":"b","text":"It leads to a feeling of alienation and anxiety about the environment","textHi":null,"imageUrl":null},{"key":"c","text":"It prevents diverse populations from coexisting","textHi":null,"imageUrl":null},{"key":"d","text":"It forces everyone to move back to rural areas","textHi":null,"imageUrl":null}],"correct":"b","sol":"Reading comprehension\nThe passage lists the repercussions plainly: 'The pace of development has left many marginalized, and with it there is a feeling of alienation, anxiety about the environment.'\nOption (b) reproduces that idea word for word in substance.\n(a) is the reverse — gentrification displaces residents from affordable housing; (c) and (d) are never claimed anywhere in the passage.","solHi":null,"pos":2,"neg":0.5},{"id":11010,"n":10,"subject":"English Language","stem":"What question does the passage raise about our relationship with city planning?","stemHi":null,"context":"$2b","contextHi":null,"options":[{"key":"a","text":"How can we build taller skyscrapers?","textHi":null,"imageUrl":null},{"key":"b","text":"Why are property values decreasing in cities?","textHi":null,"imageUrl":null},{"key":"c","text":"Are we designing cities for people, or are people merely fueling the cities?","textHi":null,"imageUrl":null},{"key":"d","text":"Should we abandon cities and return to nature?","textHi":null,"imageUrl":null}],"correct":"c","sol":"Reading comprehension\nThe writer asks the question directly: 'are we designing cities for people, or are people merely fueling the cities?'\nIt challenges whether city planning serves human beings or consumes them, so option (c) is the answer.\nThe other options raise issues of height, property prices and abandoning cities, none of which the passage poses as a question.","solHi":null,"pos":2,"neg":0.5},{"id":11011,"n":11,"subject":"English Language","stem":"What does the passage suggest is essential to make development more livable and balanced?","stemHi":null,"context":"$2c","contextHi":null,"options":[{"key":"a","text":"Ignoring the ecological challenges","textHi":null,"imageUrl":null},{"key":"b","text":"Addressing the ecological challenges and new issues","textHi":null,"imageUrl":null},{"key":"c","text":"Stopping all new construction projects immediately","textHi":null,"imageUrl":null},{"key":"d","text":"Focusing solely on economic hope","textHi":null,"imageUrl":null}],"correct":"b","sol":"Reading comprehension\nThe closing sentence says the city 'introduces ecological challenges that society must address to ensure development implies a more livable and balanced tomorrow.'\nSo what is essential is addressing those ecological challenges and the related problems of sustainability, pollution and mental well-being — option (b).\n(a) is the exact opposite of the advice given, (c) is never suggested, and (d) keeps only the economic half of the passage's argument.","solHi":null,"pos":2,"neg":0.5},{"id":11012,"n":12,"subject":"English Language","stem":"Select the correct meaning of the highlighted idiom.\nPractice and patience are part and parcel of learning a new language, as progress takes time and consistent effort.","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"An unrelated extra item","textHi":null,"imageUrl":null},{"key":"b","text":"An essential part or feature","textHi":null,"imageUrl":null},{"key":"c","text":"An expected element of a situation","textHi":null,"imageUrl":null},{"key":"d","text":"A gift sent by post","textHi":null,"imageUrl":null}],"correct":"b","sol":"Idiom meaning\n'Part and parcel' means an essential, inseparable component of something.\nThe sentence says practice and patience cannot be separated from learning a language, which matches 'an essential part or feature' exactly.\n(c) is weaker — something merely 'expected' need not be essential; (a) and (d) read the idiom literally as an extra item or a posted parcel.","solHi":null,"pos":2,"neg":0.5},{"id":11013,"n":13,"subject":"English Language","stem":"Select the most appropriate antonym of the word: Skeptical","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"Dubious","textHi":null,"imageUrl":null},{"key":"b","text":"Credulous","textHi":null,"imageUrl":null},{"key":"c","text":"Cynical","textHi":null,"imageUrl":null},{"key":"d","text":"Reserved","textHi":null,"imageUrl":null}],"correct":"b","sol":"Antonym\n'Skeptical' means inclined to doubt, unwilling to believe a claim without proof.\nIts opposite is a person who believes far too readily — 'credulous'.\n $\"figure\"/$ \n'Dubious' and 'cynical' are near-synonyms of skeptical, and 'reserved' is about not showing one's feelings, which has nothing to do with belief.","solHi":null,"pos":2,"neg":0.5},{"id":11014,"n":14,"subject":"English Language","stem":"Choose the correct one-word substitute for:\nThe killing of one's own sister.","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"Sororicide","textHi":null,"imageUrl":null},{"key":"b","text":"Fratricide","textHi":null,"imageUrl":null},{"key":"c","text":"Matricide","textHi":null,"imageUrl":null},{"key":"d","text":"Suicide","textHi":null,"imageUrl":null}],"correct":"a","sol":"One-word substitution\nLatin soror means sister and the suffix -cide means killing, so 'sororicide' is the killing of one's own sister.\n $\"figure\"/$ \nThe remaining options only change the relative: frater (brother), mater (mother) and sui (oneself).","solHi":null,"pos":2,"neg":0.5},{"id":11015,"n":15,"subject":"English Language","stem":"Choose the correct one-word substitute for:\nA group of people travelling together, especially on a trade expedition.","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"Outflow","textHi":null,"imageUrl":null},{"key":"b","text":"Exodus","textHi":null,"imageUrl":null},{"key":"c","text":"Caravan","textHi":null,"imageUrl":null},{"key":"d","text":"Sojourn","textHi":null,"imageUrl":null}],"correct":"c","sol":"One-word substitution\nA 'caravan' is a company of people journeying together, typically merchants crossing a desert on a trade route.\nThe key idea in the definition is the group itself, and only 'caravan' names a group.\n'Outflow' is a movement away from a place, 'exodus' is a mass departure of people at one time, and 'sojourn' is a temporary stay.","solHi":null,"pos":2,"neg":0.5},{"id":11016,"n":16,"subject":"English Language","stem":"Change the following sentence into the Active form.\nA detailed map is being drawn by the architect.","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"The architect is drawing a detailed map.","textHi":null,"imageUrl":null},{"key":"b","text":"A detailed map drew the architect.","textHi":null,"imageUrl":null},{"key":"c","text":"The architect drew a detailed map.","textHi":null,"imageUrl":null},{"key":"d","text":"The architect has drawn a detailed map.","textHi":null,"imageUrl":null}],"correct":"a","sol":"Passive to active voice\nThe given verb 'is being drawn' is the present continuous passive.\nRule: the agent after 'by' becomes the subject, and 'is being + V3' becomes 'is/are + V-ing'.\nSo 'A detailed map is being drawn by the architect' turns into 'The architect is drawing a detailed map.'\n(c) shifts to the simple past and (d) to the present perfect, while (b) makes the map the doer.","solHi":null,"pos":2,"neg":0.5},{"id":11017,"n":17,"subject":"English Language","stem":"Select the most appropriate antonym of the word: Expressible","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"Ineffable","textHi":null,"imageUrl":null},{"key":"b","text":"Relentless","textHi":null,"imageUrl":null},{"key":"c","text":"Unsparing","textHi":null,"imageUrl":null},{"key":"d","text":"Inflexible","textHi":null,"imageUrl":null}],"correct":"a","sol":"Antonym\n'Expressible' means capable of being put into words.\n'Ineffable' means too great, too intense or too sacred to be expressed in words, which is the exact opposite.\nThe prefix in- here carries the sense of 'not', just as in 'inaudible' or 'invisible'.\n'Relentless' (unyielding), 'unsparing' (withholding nothing) and 'inflexible' (rigid) have nothing to do with expression.","solHi":null,"pos":2,"neg":0.5},{"id":11018,"n":18,"subject":"English Language","stem":"Select the option that expresses the given sentence in indirect voice. The captain said, "We will reach the summit by noon.'","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"The captain said that they would reach the summit by noon.","textHi":null,"imageUrl":null},{"key":"b","text":"The captain said that we would reach the summit by noon.","textHi":null,"imageUrl":null},{"key":"c","text":"The captain said that they will reach the summit by noon.","textHi":null,"imageUrl":null},{"key":"d","text":"The captain said that we will reach the summit by noon.","textHi":null,"imageUrl":null}],"correct":"a","sol":"Direct to indirect speech\nThe reporting verb 'said' is in the past tense, so the modal 'will' inside the quotation must shift back to 'would'.\n'We', spoken by the captain about his own team, becomes 'they' when a third person reports it.\nApplying both changes gives: 'The captain said that they would reach the summit by noon.'\n(b) and (d) keep 'we' and (c) and (d) keep 'will', so each of them breaks one of the two rules.","solHi":null,"pos":2,"neg":0.5},{"id":11019,"n":19,"subject":"English Language","stem":"Choose the most suitable option to replace the highlighted part of the sentence:\nThirty miles have been the distance we drove to reach the beach house.","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"Thirty miles are the distance","textHi":null,"imageUrl":null},{"key":"b","text":"Thirty miles is the distance","textHi":null,"imageUrl":null},{"key":"c","text":"Thirty mile is the distance","textHi":null,"imageUrl":null},{"key":"d","text":"Thirty miles are the distance covered","textHi":null,"imageUrl":null}],"correct":"b","sol":"Subject-verb agreement\nExpressions of distance, time, money and weight are treated as singular when they name one whole quantity.\n'Thirty miles' here is one total distance, so it takes the singular verb, and the sentence states a present fact, so the plain present 'is' is needed rather than 'have been'.\nCorrect sentence: 'Thirty miles is the distance we drove to reach the beach house.'\n(a) and (d) keep the plural 'are', and (c) wrongly drops the plural noun to 'thirty mile'.","solHi":null,"pos":2,"neg":0.5},{"id":11020,"n":20,"subject":"English Language","stem":"Choose the most suitable option to replace the highlighted part of the sentence:\nVersatility being the trend of the season, she altered the jacket to suit formal events even though it have originally stitched for casual one.","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"it has originally have been stitched for casual one","textHi":null,"imageUrl":null},{"key":"b","text":"it has originally been stitched for casual ones","textHi":null,"imageUrl":null},{"key":"c","text":"it has originally was stitched for casual ones","textHi":null,"imageUrl":null},{"key":"d","text":"it has originally has been stitched to casual one","textHi":null,"imageUrl":null}],"correct":"b","sol":"Sentence improvement\nThe clause needs a passive verb, because the jacket was stitched by somebody, so 'stitched' must follow a form of 'be'.\nThe subject 'it' is singular and the action is complete with respect to the present, so the present perfect passive 'has been stitched' is required.\nThe jacket now suits 'formal events' (plural), so the contrast must be 'casual ones', not 'casual one'.\nThat gives 'it has originally been stitched for casual ones'; (a), (c) and (d) each add a second, wrong auxiliary after 'has'.","solHi":null,"pos":2,"neg":0.5},{"id":11021,"n":21,"subject":"English Language","stem":"Choose the correct active voice transformation of the sentence:\nThe diligent student's final thesis will have been submitted by the end of the semester.","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"The diligent student will have been submitting his final thesis by the end of the semester.","textHi":null,"imageUrl":null},{"key":"b","text":"The diligent student will submit his final thesis by the end of the semester.","textHi":null,"imageUrl":null},{"key":"c","text":"The diligent student will have submitted his final thesis by the end of the semester.","textHi":null,"imageUrl":null},{"key":"d","text":"The diligent student has submitted his final thesis by the end of the semester.","textHi":null,"imageUrl":null}],"correct":"c","sol":"Voice — active form\nThe given sentence is passive and its verb group is 'will have been submitted' — the future perfect tense.\nIn the active voice the future perfect keeps the pattern 'will have + V3', so 'will have been submitted' becomes 'will have submitted'.\nThe possessive 'the diligent student's' names the doer, so the student becomes the subject and 'his final thesis' becomes the object.\nHence: The diligent student will have submitted his final thesis by the end of the semester.\n(a) turns it into the future perfect continuous, (b) into the simple future and (d) into the present perfect, so all three change the tense.","solHi":null,"pos":2,"neg":0.5},{"id":11022,"n":22,"subject":"English Language","stem":"Choose the correct passive voice transformation of the sentence: The manager should have warned the staff about the changes in the schedule.","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"The staff should being warned about the changes in the schedule by the manager.","textHi":null,"imageUrl":null},{"key":"b","text":"The staff should have been warned about the changes in the schedule by the manager.","textHi":null,"imageUrl":null},{"key":"c","text":"The staff should have been warning about the changes in the schedule by the manager.","textHi":null,"imageUrl":null},{"key":"d","text":"The staff should have warned about the changes in the schedule by the manager.","textHi":null,"imageUrl":null}],"correct":"b","sol":"Voice — passive form\nActive pattern here is: subject 'the manager' + modal perfect 'should have warned' + object 'the staff'.\nA modal perfect turns passive as 'modal + have been + V3', so 'should have warned' becomes 'should have been warned'.\nThe object becomes the subject and the doer follows 'by': The staff should have been warned … by the manager.\nHence: The staff should have been warned about the changes in the schedule by the manager.\n(c) keeps the -ing form 'warning' and (d) drops 'been', so neither is a passive structure; (a) has no finite passive verb at all.","solHi":null,"pos":2,"neg":0.5},{"id":11023,"n":23,"subject":"English Language","stem":"Select the option that expresses the given sentence in direct voice. The director told the staff that their creative input and loyalty had been seen and admired.","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"The director said, "Your creative input and loyalty had been seen and admired."","textHi":null,"imageUrl":null},{"key":"b","text":"The director said, "Your creative input and loyalty have been seen and admired."","textHi":null,"imageUrl":null},{"key":"c","text":"The director told the staff, 'Their creative input and loyalty had been seen and admired.'","textHi":null,"imageUrl":null},{"key":"d","text":"The director said, "Their creative input and loyalty were seen and admired."","textHi":null,"imageUrl":null}],"correct":"b","sol":"Narration — direct speech\nMoving from indirect to direct speech, the reporting verb 'told the staff … that' becomes 'said' and the spoken words go inside quotation marks.\nThe backshift of tense is undone: the past perfect 'had been seen and admired' returns to the present perfect 'have been seen and admired'.\nThe pronoun is re-set for the listener present: 'their' in the report becomes 'your' when the director speaks to the staff.\nHence: The director said, "Your creative input and loyalty have been seen and admired."\n(a) keeps the backshifted 'had been', while (c) and (d) keep the third-person 'their', which belongs only to reported speech.","solHi":null,"pos":2,"neg":0.5},{"id":11024,"n":24,"subject":"English Language","stem":"Select the option that expresses the given sentence in direct voice. She asked him if he would have been able to solve the puzzle that day if she had not given him the clue, which had been a very subtle hint.","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":""Would you have been able to solve the puzzle today if I had not given you the clue, which was a very subtle hint?' she asked him.","textHi":null,"imageUrl":null},{"key":"b","text":""Will you have been able to solve the puzzle today if I did not give you the clue, which was a very subtle hint?" she asked him.","textHi":null,"imageUrl":null},{"key":"c","text":""Would you have been able to solve the puzzle that day if I had not given you the clue, which was a very subtle hint?' she asked him.","textHi":null,"imageUrl":null},{"key":"d","text":""Could you solve the puzzle today if I had not given you the clue, which was a very subtle hint?" she asked him.","textHi":null,"imageUrl":null}],"correct":"a","sol":"Narration — direct question\n'She asked him if …' reports a yes/no question, so in direct speech it opens with the auxiliary: 'Would you have been able …?'\nThe reported changes are reversed: 'he' to 'you', 'she' to 'I', 'that day' to 'today' and 'had been a very subtle hint' to 'was a very subtle hint'.\n'Would … have been able' is the main clause of a third conditional, so the modal itself must not change.\nHence: "Would you have been able to solve the puzzle today if I had not given you the clue, which was a very subtle hint?" she asked him.\n(b) replaces 'would' with 'will' and (d) with 'could'; (c) keeps 'that day', which is the reported-speech form of 'today'.","solHi":null,"pos":2,"neg":0.5},{"id":11025,"n":25,"subject":"English Language","stem":"Rearrange the following sentence parts to form a meaningful and grammatically correct paragraph:\nP. He selected a sunny spot and dug a deep hole in the nutrient-rich soil.\nQ. The young tree stood tall and upright, ready to grow in the garden.\nR. He carefully positioned the plant and filled the empty space with loose earth.\nS. Before placing the sapling inside, he mixed some organic compost into the base.","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"S, P, R, Q","textHi":null,"imageUrl":null},{"key":"b","text":"P, S, R, Q","textHi":null,"imageUrl":null},{"key":"c","text":"Q, S, R, P","textHi":null,"imageUrl":null},{"key":"d","text":"R, S, P, Q","textHi":null,"imageUrl":null}],"correct":"b","sol":"Para jumble\nThe paragraph narrates the planting of a sapling, so the parts must follow the order in which the work is actually done.\nP starts the action — a sunny spot is chosen and a deep hole is dug.\nS must come next, because 'Before placing the sapling inside' points back to the hole that has just been dug.\nR follows: the plant is positioned and the space around it is filled with loose earth.\nQ closes the paragraph with the result of all this work — the young tree standing tall.\n $\"figure\"/$ \nHence the order is P, S, R, Q and option (b) is correct.","solHi":null,"pos":2,"neg":0.5},{"id":11026,"n":26,"subject":"General Intelligence","stem":"Each item describes a situation and is followed by four possible responses. Indicate the response you find most appropriate. Choose only one response for each item. The responses will be evaluated based on the level of appropriateness for the given situation. Rohit runs a small manufacturing business that is struggling due to rising costs. A large company offers to partner with him but wants decision-making power in key areas. Rohit values independence but wants the business to survive. What is the most appropriate decision?","stemHi":"प्रत्येक प्रश्न में एक परिस्थिति दी गई है और उसके बाद चार संभावित प्रतिक्रियाएँ दी गई हैं। आप जो प्रतिक्रिया सर्वाधिक उपयुक्त समझते हैं, उसे बताइए। प्रत्येक प्रश्न के लिए केवल एक ही प्रतिक्रिया चुनिए। प्रतिक्रियाओं का मूल्यांकन दी गई परिस्थिति के लिए उनकी उपयुक्तता के स्तर के आधार पर किया जाएगा। रोहित एक छोटा विनिर्माण व्यवसाय चलाता है, जो बढ़ती लागतों के कारण संकट में है। एक बड़ी कंपनी उसके साथ साझेदारी करने का प्रस्ताव देती है, किंतु प्रमुख क्षेत्रों में निर्णय लेने का अधिकार चाहती है। रोहित स्वतंत्रता को महत्व देता है, परंतु चाहता है कि उसका व्यवसाय बना रहे। सबसे उपयुक्त निर्णय क्या है?","context":null,"contextHi":null,"options":[{"key":"a","text":"Reject the offer and continue alone despite losses","textHi":"प्रस्ताव अस्वीकार कर दें और घाटे के बावजूद अकेले ही चलते रहें","imageUrl":null},{"key":"b","text":"Accept all terms without discussion","textHi":"बिना किसी चर्चा के सभी शर्तें स्वीकार कर लें","imageUrl":null},{"key":"c","text":"Negotiate terms to share control while protecting core interests","textHi":"नियंत्रण साझा करने के लिए शर्तों पर बातचीत करें और अपने मूल हितों की रक्षा करें","imageUrl":null},{"key":"d","text":"Shut down the business immediately","textHi":"व्यवसाय तुरंत बंद कर दें","imageUrl":null}],"correct":"c","sol":"Situational judgement\nTwo needs pull against each other here: the business must survive, and Rohit does not want to lose his independence.\nThe appropriate response is the one that serves both — take the partnership, but settle the terms before agreeing.\nNegotiating lets him share control in the areas the partner really needs while keeping his core interests protected.\n(a) and (d) sacrifice the business, and (b) sacrifices exactly the independence he values.\nHence option (c) is correct.","solHi":"परिस्थितिजन्य निर्णय\nयहाँ दो आवश्यकताएँ आपस में टकरा रही हैं: व्यवसाय का बना रहना और रोहित की स्वतंत्रता का बना रहना।\nउपयुक्त प्रतिक्रिया वही है जो दोनों को साध ले — साझेदारी स्वीकार करें, किंतु सहमति से पहले शर्तें तय कर लें।\nबातचीत करने से वह उन्हीं क्षेत्रों में नियंत्रण साझा करेगा जिनकी साझेदार को वास्तव में आवश्यकता है और उसके मूल हित सुरक्षित रहेंगे।\n(a) और (d) व्यवसाय को समाप्त कर देते हैं, तथा (b) ठीक उसी स्वतंत्रता का बलिदान कर देता है जिसे वह महत्व देता है।\nअतः विकल्प (c) सही है।","pos":2,"neg":0.5},{"id":11027,"n":27,"subject":"General Intelligence","stem":"A colleague often asks you to cover their work but rarely returns the favor, which starts affecting your own deadlines. What is the most appropriate response?","stemHi":"एक सहकर्मी प्रायः आपसे अपना कार्य संभालने के लिए कहता है, किंतु बदले में शायद ही कभी सहायता करता है, जिससे आपकी अपनी समय-सीमाएँ प्रभावित होने लगती हैं। सबसे उपयुक्त प्रतिक्रिया क्या है?","context":null,"contextHi":null,"options":[{"key":"a","text":"Complain about them openly in front of others","textHi":"दूसरों के सामने खुलेआम उसकी शिकायत करें","imageUrl":null},{"key":"b","text":"Refuse all help and avoid interaction","textHi":"हर प्रकार की सहायता से इनकार कर दें और बातचीत से बचें","imageUrl":null},{"key":"c","text":"Communicate boundaries clearly and discuss fair sharing of responsibilities","textHi":"सीमाएँ स्पष्ट रूप से बताएँ और उत्तरदायित्वों के उचित बँटवारे पर चर्चा करें","imageUrl":null},{"key":"d","text":"Continue helping silently to maintain peace","textHi":"शांति बनाए रखने के लिए चुपचाप सहायता करते रहें","imageUrl":null}],"correct":"c","sol":"Workplace judgement\nThe trouble is not the helping itself but the one-sided arrangement, which has begun to damage your own deadlines.\nThe professional response is to state your limits calmly and agree on a fair sharing of the work.\n(a) turns a work issue into a public quarrel, (b) is an over-reaction that harms the team, and (d) lets the problem grow.\nHence option (c) is correct.","solHi":"कार्यस्थल संबंधी निर्णय\nसमस्या सहायता करने में नहीं, बल्कि इस एकतरफ़ा व्यवस्था में है, जो अब आपकी अपनी समय-सीमाओं को हानि पहुँचाने लगी है।\nव्यावसायिक प्रतिक्रिया यही है कि आप शांतिपूर्वक अपनी सीमाएँ बताएँ और कार्य के उचित बँटवारे पर सहमति बनाएँ।\n(a) कार्य से जुड़े मुद्दे को सार्वजनिक विवाद बना देता है, (b) अति-प्रतिक्रिया है जो टीम को हानि पहुँचाती है, और (d) समस्या को बढ़ने देता है।\nअतः विकल्प (c) सही है।","pos":2,"neg":0.5},{"id":11028,"n":28,"subject":"General Intelligence","stem":"There are 40 cars parked in a row. Car A is 10th from the left side and Car B is 15 th from the right side. Find the number of cars between A and B .","stemHi":"एक पंक्ति में 40 कारें खड़ी हैं। कार A बाईं ओर से 10वीं है और कार B दाईं ओर से 15वीं है। A और B के बीच कारों की संख्या ज्ञात कीजिए।","context":null,"contextHi":null,"options":[{"key":"a","text":"10","textHi":null,"imageUrl":null},{"key":"b","text":"15","textHi":null,"imageUrl":null},{"key":"c","text":"12","textHi":null,"imageUrl":null},{"key":"d","text":"14","textHi":null,"imageUrl":null}],"correct":"b","sol":"Ranking in a row\nTotal number of cars =40, and A is 10th from the left, so A stands at position 10 from the left.\nFor B, position from the left = total - position from the right

+ 1

.\nPosition of B from the left =40-15+1=26.\nCars strictly between the two =26-10-1=15.\n $\"figure\"/$ \nHence there are 15 cars between A and B, and option (b) is correct.","solHi":"पंक्ति में स्थान-निर्धारण\nकारों की कुल संख्या =40 है, और A बाईं ओर से 10वीं है, अतः बाईं ओर से A का स्थान 10 है।\nB के लिए, बाईं ओर से स्थान = कुल संख्या - दाईं ओर से स्थान

+ 1

।\nबाईं ओर से B का स्थान =40-15+1=26।\nदोनों के ठीक बीच की कारें =26-10-1=15।\n $\"figure\"/$ \nअतः A और B के बीच 15 कारें हैं और विकल्प (b) सही है।","pos":2,"neg":0.5},{"id":11029,"n":29,"subject":"General Intelligence","stem":"In each question below is given a statement followed by two courses of action numbered I and II. You have to assume everything in the statement to be true and on the basis of the information given in the statement, decide which of the suggested courses of action logically follow(s) for pursuing.\nStatement: A large number of road accidents are being reported due to overspeeding in the city.\nCourse of action I: Ban all vehicles in the city immediately.\nCourse of action II: Implement stricter traffic rules and run awareness campaigns for drivers.","stemHi":"नीचे दिए गए प्रत्येक प्रश्न में एक कथन दिया गया है, जिसके बाद I और II क्रमांकित दो कार्यवाहियाँ दी गई हैं। आपको कथन में दी गई प्रत्येक बात को सत्य मानना है और कथन में दी गई जानकारी के आधार पर यह निर्णय करना है कि सुझाई गई कार्यवाहियों में से कौन-सी कार्यवाही करने योग्य रूप से तार्किक रूप से अनुसरण करती है।\nकथन: शहर में तेज़ गति से वाहन चलाने के कारण बड़ी संख्या में सड़क दुर्घटनाएँ होने की सूचना मिल रही है।\nकार्यवाही I: शहर में सभी वाहनों पर तुरंत प्रतिबंध लगा दिया जाए।\nकार्यवाही II: कड़े यातायात नियम लागू किए जाएँ और चालकों के लिए जागरूकता अभियान चलाए जाएँ।","context":null,"contextHi":null,"options":[{"key":"a","text":"Only I follows","textHi":"केवल I अनुसरण करती है","imageUrl":null},{"key":"b","text":"Only II follows","textHi":"केवल II अनुसरण करती है","imageUrl":null},{"key":"c","text":"Both follow","textHi":"दोनों अनुसरण करती हैं","imageUrl":null},{"key":"d","text":"Either I or II follows","textHi":"या तो I या II अनुसरण करती है","imageUrl":null}],"correct":"b","sol":"Course of action\nA course of action follows only if it is practical and it treats the cause named in the statement — here, overspeeding.\nCourse of action I bans every vehicle in the city; it stops all movement instead of controlling speed, so it is an extreme and impractical step and does not follow.\nCourse of action II enforces stricter traffic rules and educates drivers, which acts directly on overspeeding, so it follows.\n $\"figure\"/$ \nHence only II follows and option (b) is correct.","solHi":"कार्यवाही\nकोई कार्यवाही तभी अनुसरण करती है जब वह व्यावहारिक हो और कथन में बताए गए कारण — यहाँ तेज़ गति — पर सीधे प्रहार करे।\nकार्यवाही I शहर के सभी वाहनों पर प्रतिबंध लगाती है; यह गति नियंत्रित करने के स्थान पर पूरी आवाजाही ही रोक देती है, अतः यह अति-कठोर और अव्यावहारिक है और अनुसरण नहीं करती।\nकार्यवाही II कड़े यातायात नियम लागू करती है और चालकों को जागरूक करती है, जो सीधे तेज़ गति पर कार्य करती है, अतः यह अनुसरण करती है।\n $\"figure\"/$ \nअतः केवल II अनुसरण करती है और विकल्प (b) सही है।","pos":2,"neg":0.5},{"id":11030,"n":30,"subject":"General Intelligence","stem":"Few of the letters are given followed by a question mark (?) these letters are following a specific pattern you have to give the correct option which can replace question mark.\nWhat will complete the following:\nF, I, L, O, ?","stemHi":"कुछ अक्षर दिए गए हैं जिनके बाद एक प्रश्नवाचक चिह्न (?) है; ये अक्षर एक विशिष्ट पैटर्न का अनुसरण कर रहे हैं। आपको वह सही विकल्प बताना है जो प्रश्नवाचक चिह्न के स्थान पर आ सकता है।\nनिम्नलिखित को कौन पूरा करेगा:\nF, I, L, O, ?","context":null,"contextHi":null,"options":[{"key":"a","text":"T","textHi":null,"imageUrl":null},{"key":"b","text":"N","textHi":null,"imageUrl":null},{"key":"c","text":"Q","textHi":null,"imageUrl":null},{"key":"d","text":"R","textHi":null,"imageUrl":null}],"correct":"d","sol":"Letter series\nWrite the position of each letter in the alphabet: F=6, I=9, L=12, O=15.\nEvery term is 3 more than the term before it, since 9-6=3, 12-9=3 and 15-12=3.\n $\"figure\"/$ \nThe next position is 15+3=18, and the 18th letter of the alphabet is R.\nHence option (d) is correct.","solHi":"अक्षर शृंखला\nप्रत्येक अक्षर का वर्णमाला में स्थान लिखिए: F=6, I=9, L=12, O=15।\nप्रत्येक पद अपने पिछले पद से 3 अधिक है, क्योंकि 9-6=3, 12-9=3 और 15-12=3।\n $\"figure\"/$ \nअगला स्थान =15+3=18 होगा और वर्णमाला का 18वाँ अक्षर R है।\nअतः विकल्प (d) सही है।","pos":2,"neg":0.5},{"id":11031,"n":31,"subject":"General Intelligence","stem":"In this question some conditions or circumstances is provided to you, you have to make logical judgement according to mentioned circumstances and mark the correct judgement for question.\nA town is facing frequent water shortages. To address this, the local authorities must act quickly in the public's interest. Which step is the most reasonable first?","stemHi":"इस प्रश्न में आपको कुछ शर्तें अथवा परिस्थितियाँ दी गई हैं; आपको उल्लिखित परिस्थितियों के अनुसार तार्किक निर्णय करना है और प्रश्न के लिए सही निर्णय चिह्नित करना है।\nएक कस्बा बार-बार जल की कमी का सामना कर रहा है। इसका समाधान करने के लिए स्थानीय प्रशासन को जनहित में शीघ्र कार्रवाई करनी है। सबसे उचित पहला कदम कौन-सा है?","context":null,"contextHi":null,"options":[{"key":"a","text":"Organize a street festival","textHi":"एक सड़क उत्सव का आयोजन करें","imageUrl":null},{"key":"b","text":"Implement water conservation measures and repair pipelines","textHi":"जल संरक्षण के उपाय लागू करें और पाइपलाइनों की मरम्मत करें","imageUrl":null},{"key":"c","text":"Plant decorative trees on streets","textHi":"सड़कों पर सजावटी पेड़ लगाएँ","imageUrl":null},{"key":"d","text":"Open new shopping centers","textHi":"नए शॉपिंग सेंटर खोलें","imageUrl":null}],"correct":"b","sol":"Decision making\nThe problem stated is a shortage of water, so the first step must add to the water available or stop the water being lost.\nConservation measures cut the wastage and repairing the pipelines stops the leakage, so both raise the supply at once — this serves the public interest immediately.\n(a), (c) and (d) may be useful in themselves but none of them touches the shortage.\nHence option (b) is correct.","solHi":"निर्णय-क्षमता\nबताई गई समस्या जल की कमी है, अतः पहला कदम वही होगा जो उपलब्ध जल बढ़ाए अथवा जल की हानि रोके।\nसंरक्षण के उपाय अपव्यय घटाते हैं और पाइपलाइनों की मरम्मत रिसाव रोकती है, अतः दोनों तुरंत आपूर्ति बढ़ाते हैं — यही जनहित की तत्काल पूर्ति है।\n(a), (c) और (d) अपने आप में उपयोगी हो सकते हैं, किंतु उनमें से कोई भी जल की कमी को नहीं छूता।\nअतः विकल्प (b) सही है।","pos":2,"neg":0.5},{"id":11032,"n":32,"subject":"General Intelligence","stem":"Four meaningful words are given in the options. You have to check which of the following words cannot be formed from the letters of "INSPIRATION".","stemHi":"विकल्पों में चार अर्थपूर्ण शब्द दिए गए हैं। आपको जाँचना है कि निम्नलिखित में से कौन-सा शब्द "INSPIRATION" के अक्षरों से नहीं बनाया जा सकता।","context":null,"contextHi":null,"options":[{"key":"a","text":"STAR","textHi":null,"imageUrl":null},{"key":"b","text":"PAIN","textHi":null,"imageUrl":null},{"key":"c","text":"RAIN","textHi":null,"imageUrl":null},{"key":"d","text":"PIPE","textHi":null,"imageUrl":null}],"correct":"d","sol":"Word formation\nList the letters of INSPIRATION with their counts: A, I (three times), N (twice), O, P, R, S, T.\nSTAR needs S, T, A, R; PAIN needs P, A, I, N; RAIN needs R, A, I, N — every one of these letters is present and none is asked for more often than it occurs.\nPIPE needs the letter P twice and the letter E once, but INSPIRATION has only one P and no E at all.\n $\"figure\"/$ \nHence PIPE cannot be formed and option (d) is correct.","solHi":"शब्द-निर्माण\nINSPIRATION के अक्षर उनकी संख्या सहित लिखिए: A, I (तीन बार), N (दो बार), O, P, R, S, T।\nSTAR के लिए S, T, A, R; PAIN के लिए P, A, I, N; RAIN के लिए R, A, I, N चाहिए — ये सभी अक्षर उपलब्ध हैं और किसी भी अक्षर की माँग उसकी उपलब्ध संख्या से अधिक नहीं है।\nPIPE के लिए P दो बार और E एक बार चाहिए, किंतु INSPIRATION में P केवल एक बार है और E है ही नहीं।\n $\"figure\"/$ \nअतः PIPE नहीं बनाया जा सकता और विकल्प (d) सही है।","pos":2,"neg":0.5},{"id":11033,"n":33,"subject":"General Intelligence","stem":"A mirror is placed on the line

A B

. Out of the option figures, which figure will be the right image of the question figure?\n $\"figure\"/$ ","stemHi":"रेखा

A B

पर एक दर्पण रखा गया है। दी गई विकल्प आकृतियों में से कौन-सी आकृति प्रश्न आकृति का सही प्रतिबिंब होगी?\n $\"figure\"/$ ","context":null,"contextHi":null,"options":[{"key":"a","text":" $\"figure\"/$ ","textHi":null,"imageUrl":null},{"key":"b","text":" $\"figure\"/$ ","textHi":null,"imageUrl":null},{"key":"c","text":" $\"figure\"/$ ","textHi":null,"imageUrl":null},{"key":"d","text":" $\"figure\"/$ ","textHi":null,"imageUrl":null}],"correct":"b","sol":"Mirror image\nThe mirror stands on the vertical line AB at the right of the figure, so the image is the figure turned left to right; top stays top and bottom stays bottom.\nThe square is cut into eight equal triangles, so every triangle simply swaps with the triangle facing it across the vertical centre line.\nThe two circles were in the upper half to the right of the centre line, so in the image they move to the upper half on its left.\nThe two small triangles move the other way, from the left of the upper half to the right of it, just below the diagonal.\nIn the same way the horizontal lines move to the upper-left wedge, the vertical lines to the right of the lower half, and the slanting lines to the bottom-left wedge.\nOnly option (b) shows all these wedges in the swapped positions, so option (b) is correct.","solHi":"दर्पण प्रतिबिंब\nदर्पण आकृति के दाईं ओर खड़ी ऊर्ध्वाधर रेखा AB पर रखा है, अतः प्रतिबिंब में आकृति बाएँ-दाएँ पलट जाएगी; ऊपर का भाग ऊपर और नीचे का भाग नीचे ही रहेगा।\nवर्ग आठ बराबर त्रिभुजों में बँटा है, अतः प्रत्येक त्रिभुज ऊर्ध्वाधर मध्य रेखा के आर-पार अपने सामने वाले त्रिभुज से स्थान बदल लेगा।\nदोनों वृत्त ऊपरी आधे भाग में मध्य रेखा के दाईं ओर थे, अतः प्रतिबिंब में वे ऊपरी आधे भाग में उसकी बाईं ओर चले जाएँगे।\nदोनों छोटे त्रिभुज इसके विपरीत, ऊपरी आधे भाग के बाईं ओर से दाईं ओर, विकर्ण के ठीक नीचे चले जाएँगे।\nइसी प्रकार क्षैतिज रेखाएँ ऊपरी-बाएँ खंड में, ऊर्ध्वाधर रेखाएँ निचले आधे भाग के दाईं ओर तथा तिरछी रेखाएँ नीचे-बाएँ खंड में चली जाएँगी।\nकेवल विकल्प (b) में ये सभी खंड इसी अदला-बदली की स्थिति में दिखाई देते हैं, अतः विकल्प (b) सही है।","pos":2,"neg":0.5},{"id":11034,"n":34,"subject":"General Intelligence","stem":"In this type of questions, question is provided with some issues/ disputes/problem, followed by few methods to resolve the problem in statement choosing the appropriate problem solving method that can be implemented.\nA school principal has a limited budget for improving facilities. Students and staff request improvements in all areas. What is the logical first step?","stemHi":"इस प्रकार के प्रश्नों में कोई मुद्दा/विवाद/समस्या दी जाती है, जिसके बाद कथन में उस समस्या को हल करने की कुछ विधियाँ दी जाती हैं; आपको वह उपयुक्त समस्या-समाधान विधि चुननी है जिसे लागू किया जा सके।\nएक विद्यालय के प्रधानाचार्य के पास सुविधाओं में सुधार के लिए सीमित बजट है। विद्यार्थी और कर्मचारी सभी क्षेत्रों में सुधार की माँग करते हैं। तार्किक पहला कदम क्या है?","context":null,"contextHi":null,"options":[{"key":"a","text":"Spend all the money on the principal's favorite classroom","textHi":"सारा धन प्रधानाचार्य की पसंदीदा कक्षा पर व्यय कर दें","imageUrl":null},{"key":"b","text":"Postpone the decision indefinitely","textHi":"निर्णय अनिश्चित काल के लिए टाल दें","imageUrl":null},{"key":"c","text":"Allocate funds equally to all areas regardless of need","textHi":"आवश्यकता की परवाह किए बिना सभी क्षेत्रों को समान रूप से धन आवंटित करें","imageUrl":null},{"key":"d","text":"Conduct a survey to identify priority areas and allocate based on importance","textHi":"प्राथमिकता वाले क्षेत्रों की पहचान के लिए सर्वेक्षण कराएँ और महत्व के आधार पर धन आवंटित करें","imageUrl":null}],"correct":"d","sol":"Problem solving\nThe budget is small while the demands cover every area, so the money must reach the places where it will do the most good.\nThat means the first step is to find out which needs are the most urgent, and a survey of students and staff gives exactly that information.\n(a) is arbitrary, (b) settles nothing, and (c) spreads a small budget so thin that no area is really improved.\nHence option (d) is correct.","solHi":"समस्या-समाधान\nबजट सीमित है जबकि माँगें सभी क्षेत्रों की हैं, अतः धन वहीं पहुँचना चाहिए जहाँ उसका सर्वाधिक लाभ हो।\nइसका अर्थ है कि पहला कदम यह जानना है कि कौन-सी आवश्यकताएँ सर्वाधिक अनिवार्य हैं, और विद्यार्थियों तथा कर्मचारियों का सर्वेक्षण ठीक यही जानकारी देता है।\n(a) मनमाना है, (b) से कुछ तय नहीं होता, और (c) छोटे बजट को इतना बाँट देता है कि किसी भी क्षेत्र में वास्तविक सुधार नहीं होता।\nअतः विकल्प (d) सही है।","pos":2,"neg":0.5},{"id":11035,"n":35,"subject":"General Intelligence","stem":"In this type of questions, question is provided with some issues/ disputes/problem, followed by few methods to resolve the problem in statement choosing the appropriate problem solving method that can be implemented.\nA university library receives many repeated requests for information about opening hours and book availability. The most efficient solution is:","stemHi":"इस प्रकार के प्रश्नों में कोई मुद्दा/विवाद/समस्या दी जाती है, जिसके बाद कथन में उस समस्या को हल करने की कुछ विधियाँ दी जाती हैं; आपको वह उपयुक्त समस्या-समाधान विधि चुननी है जिसे लागू किया जा सके।\nएक विश्वविद्यालय के पुस्तकालय में खुलने के समय और पुस्तकों की उपलब्धता के विषय में बार-बार वही पूछताछ आती रहती है। सबसे कुशल समाधान है:","context":null,"contextHi":null,"options":[{"key":"a","text":"Close the library","textHi":"पुस्तकालय बंद कर दें","imageUrl":null},{"key":"b","text":"Ignore the repeated requests","textHi":"बार-बार की जाने वाली पूछताछ की उपेक्षा करें","imageUrl":null},{"key":"c","text":"Penalize students asking repeatedly","textHi":"बार-बार पूछने वाले विद्यार्थियों को दंडित करें","imageUrl":null},{"key":"d","text":"Introduce a FAQ page and an automated information system","textHi":"एक FAQ पृष्ठ और स्वचालित सूचना प्रणाली आरंभ करें","imageUrl":null}],"correct":"d","sol":"Problem solving\nThe same small set of questions is asked again and again, so the information should be made available without a person answering each time.\nA FAQ page together with an automated enquiry system answers these queries at once and frees the staff for the work only they can do.\n(a) removes the service itself, while (b) and (c) punish the users instead of meeting a genuine need.\nHence option (d) is correct.","solHi":"समस्या-समाधान\nवही कुछ प्रश्न बार-बार पूछे जाते हैं, अतः यह जानकारी ऐसी बना दी जानी चाहिए जो हर बार किसी व्यक्ति के उत्तर दिए बिना उपलब्ध हो।\nFAQ पृष्ठ के साथ स्वचालित सूचना प्रणाली इन पूछताछों का तत्काल उत्तर देती है और कर्मचारियों को उस कार्य के लिए मुक्त कर देती है जो केवल वे ही कर सकते हैं।\n(a) सेवा को ही समाप्त कर देता है, जबकि (b) और (c) वास्तविक आवश्यकता पूरी करने के स्थान पर उपयोगकर्ताओं को दंडित करते हैं।\nअतः विकल्प (d) सही है।","pos":2,"neg":0.5},{"id":11036,"n":36,"subject":"General Intelligence","stem":"In each of the following questions, there is a certain relationship between two given letter pairs on one side of (::) and pair is given on another side of (::) where another pair is to be found from the given alternatives, having the same relationship with this pair as the pairs of the given pair bear. Choose the best alternative.\nAD : EH :: JM : ?","stemHi":"निम्नलिखित प्रत्येक प्रश्न में, (::) के एक ओर दिए गए दो अक्षर-युग्मों के बीच एक निश्चित संबंध है तथा (::) की दूसरी ओर एक युग्म दिया गया है, जिसके लिए दिए गए विकल्पों में से ऐसा युग्म ज्ञात करना है जिसका इस युग्म के साथ वही संबंध हो जो दिए गए युग्मों के बीच है। सर्वोत्तम विकल्प चुनिए।\nAD : EH :: JM : ?","context":null,"contextHi":null,"options":[{"key":"a","text":"NO","textHi":null,"imageUrl":null},{"key":"b","text":"NQ","textHi":null,"imageUrl":null},{"key":"c","text":"QN","textHi":null,"imageUrl":null},{"key":"d","text":"NL","textHi":null,"imageUrl":null}],"correct":"b","sol":"Letter pair analogy\nWrite the alphabet positions of the first pair: A=1, D=4, and of the second pair: E=5, H=8.\nEach letter has moved forward by 4 places, since 1+4=5 and 4+4=8.\n $\"figure\"/$ \nApply the same shift to JM: J=10, so 10+4=14 gives N; M=13, so 13+4=17 gives Q.\nHence the missing pair is NQ and option (b) is correct.","solHi":"अक्षर-युग्म सादृश्य\nपहले युग्म के अक्षरों के स्थान लिखिए: A=1, D=4, तथा दूसरे युग्म के: E=5, H=8।\nप्रत्येक अक्षर 4 स्थान आगे बढ़ा है, क्योंकि 1+4=5 और 4+4=8।\n $\"figure\"/$ \nयही परिवर्तन JM पर लगाइए: J=10, अतः 10+4=14 से N; M=13, अतः 13+4=17 से Q।\nअतः अभीष्ट युग्म NQ है और विकल्प (b) सही है।","pos":2,"neg":0.5},{"id":11037,"n":37,"subject":"General Intelligence","stem":"Find the next element that replaces the ? Logically.\n620, 891, 1222, 1619, ?","stemHi":"वह अगला पद ज्ञात कीजिए जो ? के स्थान पर तार्किक रूप से आएगा।\n620, 891, 1222, 1619, ?","context":null,"contextHi":null,"options":[{"key":"a","text":"2104","textHi":null,"imageUrl":null},{"key":"b","text":"2095","textHi":null,"imageUrl":null},{"key":"c","text":"2081","textHi":null,"imageUrl":null},{"key":"d","text":"2088","textHi":null,"imageUrl":null}],"correct":"d","sol":"Number series\nTake the differences of consecutive terms: 891-620=271, 1222-891=331, 1619-1222=397.\nThese differences are not equal, so take their differences in turn: 331-271=60 and 397-331=66.\nThe second differences rise by 6 each time, so the next one is 66+6=72.\nTherefore the next first difference is 397+72=469.\n $\"figure\"/$ \nRequired term =1619+469=2088.\nHence option (d) is correct.","solHi":"संख्या शृंखला\nक्रमागत पदों के अंतर लीजिए: 891-620=271, 1222-891=331, 1619-1222=397।\nये अंतर समान नहीं हैं, अतः इनके भी अंतर लीजिए: 331-271=60 और 397-331=66।\nद्वितीय अंतर हर बार 6 से बढ़ रहे हैं, अतः अगला द्वितीय अंतर 66+6=72 होगा।\nइसलिए अगला प्रथम अंतर 397+72=469 होगा।\n $\"figure\"/$ \nअभीष्ट पद =1619+469=2088।\nअतः विकल्प (d) सही है।","pos":2,"neg":0.5},{"id":11038,"n":38,"subject":"General Intelligence","stem":"In three of the following pairs are same by same pattern except one pair. Which pair does not follow this pattern?","stemHi":"निम्नलिखित में से तीन युग्म एक ही पैटर्न पर आधारित हैं, केवल एक युग्म को छोड़कर। कौन-सा युग्म इस पैटर्न का अनुसरण नहीं करता?","context":null,"contextHi":null,"options":[{"key":"a","text":"49, 64","textHi":null,"imageUrl":null},{"key":"b","text":"15,22","textHi":null,"imageUrl":null},{"key":"c","text":"121, 144","textHi":null,"imageUrl":null},{"key":"d","text":"36, 49","textHi":null,"imageUrl":null}],"correct":"b","sol":"$2d","solHi":"$2e","pos":2,"neg":0.5},{"id":11039,"n":39,"subject":"General Intelligence","stem":"In this type of questions, question is provided with substitutes for various mathematical symbols, followed by a question involving calculation of an expression or choosing the correct/ incorrect equation. You have to put the real signs in the given equation and then solve the questions as required.\nIf '$' stands for '+', '!' stands for '

\times

', '*' stands for '

\div

', '#' stands for ''., then find the value of:

14 * 28 $ 8 # 24 =

?","stemHi":"इस प्रकार के प्रश्नों में विभिन्न गणितीय चिह्नों के स्थान पर प्रतीक दिए जाते हैं, जिसके बाद एक प्रश्न दिया जाता है जिसमें किसी व्यंजक का मान ज्ञात करना अथवा सही/गलत समीकरण चुनना होता है। आपको दिए गए समीकरण में वास्तविक चिह्न रखकर आवश्यकतानुसार प्रश्न हल करना है।\nयदि '$' का अर्थ '+' है, '!' का अर्थ '

\times

' है, '*' का अर्थ '

\div

' है, '#' का अर्थ '-' है, तो निम्नलिखित का मान ज्ञात कीजिए:

14 * 28 $ 8 # 24 =

?","context":null,"contextHi":null,"options":[{"key":"a","text":"

\frac{- 41}{2}

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

\frac{- 31}{2}

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

\frac{- 21}{2}

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

\frac{- 51}{2}

","textHi":null,"imageUrl":null}],"correct":"b","sol":"$2f","solHi":"$30","pos":2,"neg":0.5},{"id":11041,"n":41,"subject":"General Intelligence","stem":"Select the option figure which is embedded in the given figure (rotation is NOT allowed).\n $\"figure\"/$ ","stemHi":"उस विकल्प आकृति का चयन कीजिए जो दी गई आकृति में सन्निहित (embedded) है (घुमाने की अनुमति नहीं है)।\n $\"figure\"/$ ","context":null,"contextHi":null,"options":[{"key":"a","text":" $\"figure\"/$ ","textHi":null,"imageUrl":null},{"key":"b","text":" $\"figure\"/$ ","textHi":null,"imageUrl":null},{"key":"c","text":" $\"figure\"/$ ","textHi":null,"imageUrl":null},{"key":"d","text":" $\"figure\"/$ ","textHi":null,"imageUrl":null}],"correct":"a","sol":"$31","solHi":"सन्निहित आकृति\nदी गई आकृति एक वर्ग है, जिसके भीतरी वर्ग को बीच की ऊर्ध्वाधर रेखा दो भागों में बाँटती है और प्रत्येक भाग में एक विकर्ण-क्रॉस बना है।\nआकृति को घुमाया नहीं जा सकता, अतः खोजी जाने वाली आकृति की लंबाइयाँ और ढाल दी गई आकृति से बिल्कुल मेल खानी चाहिए।\nविकल्प (a) में पहले भीतरी वर्ग की आधी चौड़ाई जितनी एक क्षैतिज रेखा है और उसके बाद एक V है, जिसकी दोनों भुजाएँ आधे वर्ग के विकर्णों जितनी ढालू हैं।\n $\"figure\"/$ \nबाएँ आधे भाग की ऊपरी भुजा, फिर ऊपरी-मध्य कोने से दाएँ आधे भाग के केंद्र तक जाता विकर्ण और फिर दूसरे विकर्ण का ऊपरी-दाएँ कोने तक जाता भाग — ये मिलकर ठीक विकल्प (a) बनाते हैं।\nविकल्प (b) और (c) में रेखाएँ समकोण पर मिलती हैं तथा (d) में ढाल

45^{\circ}

की है, जो आकृति में कहीं नहीं है; अतः विकल्प (a) सही है।","pos":2,"neg":0.5},{"id":11042,"n":42,"subject":"General Intelligence","stem":"In the following question, select the number which can be placed at the sign of question mark (?) from the given alternatives.\n $\"figure\"/$ ","stemHi":"निम्नलिखित प्रश्न में, दिए गए विकल्पों में से उस संख्या का चयन कीजिए जिसे प्रश्नवाचक चिह्न (?) के स्थान पर रखा जा सकता है।\n $\"figure\"/$ ","context":null,"contextHi":null,"options":[{"key":"a","text":"1","textHi":null,"imageUrl":null},{"key":"b","text":"3","textHi":null,"imageUrl":null},{"key":"c","text":"4","textHi":null,"imageUrl":null},{"key":"d","text":"2","textHi":null,"imageUrl":null}],"correct":"b","sol":"$32","solHi":"$33","pos":2,"neg":0.5},{"id":11043,"n":43,"subject":"General Intelligence","stem":"How many triangles are there in the given figure?\n $\"figure\"/$ ","stemHi":"दी गई आकृति में कितने त्रिभुज हैं?\n $\"figure\"/$ ","context":null,"contextHi":null,"options":[{"key":"a","text":"13","textHi":null,"imageUrl":null},{"key":"b","text":"14","textHi":null,"imageUrl":null},{"key":"c","text":"10","textHi":null,"imageUrl":null},{"key":"d","text":"16","textHi":null,"imageUrl":null}],"correct":"a","sol":"Counting triangles\nName the corners A, B, C, D, E, F, let G be the point where BD and CE cross, and H the point where the short line from B meets AE.\n $\"figure\"/$ \nSeven small triangles have no line inside them: ABH, HBE, AFE, BCG, BGE, GED and CGD.\nFive more are made of two of these: ABE, BCE, BCD, BDE and CDE.\nOne more is made of four of them: ACE.\nTotal =7+5+1=13, so option (a) is correct.","solHi":"त्रिभुजों की गणना\nकोनों को A, B, C, D, E, F नाम दीजिए; BD और CE जहाँ एक-दूसरे को काटते हैं वह बिंदु G है तथा B से खिंची छोटी रेखा जहाँ AE से मिलती है वह बिंदु H है।\n $\"figure\"/$ \nसात छोटे त्रिभुज ऐसे हैं जिनके भीतर कोई रेखा नहीं है: ABH, HBE, AFE, BCG, BGE, GED और CGD।\nइनमें से दो-दो को मिलाकर पाँच और त्रिभुज बनते हैं: ABE, BCE, BCD, BDE और CDE।\nचार को मिलाकर एक और त्रिभुज बनता है: ACE।\nकुल =7+5+1=13, अतः विकल्प (a) सही है।","pos":2,"neg":0.5},{"id":11044,"n":44,"subject":"General Intelligence","stem":"In the figure given below the rectangle represents socks, the triangle represents watches and the circle represents caps. The number in each area represents the number of items in that area.\n $\"figure\"/$ \nHow many caps are socks ?","stemHi":"नीचे दी गई आकृति में आयत मोज़ों को, त्रिभुज घड़ियों को तथा वृत्त टोपियों को दर्शाता है। प्रत्येक क्षेत्र में लिखी संख्या उस क्षेत्र की वस्तुओं की संख्या दर्शाती है।\n $\"figure\"/$ \nकितनी टोपियाँ मोज़े हैं?","context":null,"contextHi":null,"options":[{"key":"a","text":"13","textHi":null,"imageUrl":null},{"key":"b","text":"5","textHi":null,"imageUrl":null},{"key":"c","text":"7","textHi":null,"imageUrl":null},{"key":"d","text":"10","textHi":null,"imageUrl":null}],"correct":"b","sol":"Venn diagram counting\nCaps are shown by the circle and socks by the rectangle, so the region that belongs to the circle and to the rectangle is needed.\n $\"figure\"/$ \nThe part that lies inside the circle and the rectangle but outside the triangle carries the number 5.\nThe 7 beside it lies inside the triangle as well, so those items are caps, socks and watches together.\nHence the number of caps that are socks is 5, so option (b) is correct.","solHi":"वेन आरेख गणना\nटोपियाँ वृत्त से और मोज़े आयत से दर्शाए गए हैं, अतः वह क्षेत्र चाहिए जो वृत्त और आयत — दोनों में हो।\n $\"figure\"/$ \nजो भाग वृत्त और आयत के भीतर है परंतु त्रिभुज के बाहर है, उसमें संख्या 5 लिखी है।\nउसके पास लिखी संख्या 7 त्रिभुज के भीतर भी है, अतः वे वस्तुएँ टोपी, मोज़े और घड़ी — तीनों हैं।\nअतः जो टोपियाँ मोज़े हैं उनकी संख्या 5 है, इसलिए विकल्प (b) सही है।","pos":2,"neg":0.5},{"id":11045,"n":45,"subject":"General Intelligence","stem":"Identify the diagram that best represents the relationship among the given classes.\nColour, Red, Yellow","stemHi":"उस आरेख की पहचान कीजिए जो दिए गए वर्गों के बीच के संबंध को सर्वोत्तम रूप से दर्शाता है।\nरंग, लाल, पीला","context":null,"contextHi":null,"options":[{"key":"a","text":" $\"figure\"/$ ","textHi":null,"imageUrl":null},{"key":"b","text":" $\"figure\"/$ ","textHi":null,"imageUrl":null},{"key":"c","text":" $\"figure\"/$ ","textHi":null,"imageUrl":null},{"key":"d","text":" $\"figure\"/$ ","textHi":null,"imageUrl":null}],"correct":"c","sol":"Class relationship diagram\nRed and Yellow are both colours, so each of them lies completely inside the class Colour.\nNo colour is red and yellow at the same time, so the two smaller classes neither touch nor overlap each other.\n $\"figure\"/$ \nThe diagram therefore needs one big circle holding two separate circles inside it.\nOption (b) makes the two overlap, (a) leaves one of them outside and (d) keeps all three apart, so option (c) is correct.","solHi":"वर्ग-संबंध आरेख\nलाल और पीला — दोनों रंग हैं, अतः इनमें से प्रत्येक पूरी तरह 'रंग' वर्ग के भीतर आता है।\nकोई भी रंग एक साथ लाल और पीला नहीं होता, अतः दोनों छोटे वर्ग न तो एक-दूसरे को छूते हैं और न ही काटते हैं।\n $\"figure\"/$ \nइसलिए आरेख ऐसा होना चाहिए जिसमें एक बड़ा वृत्त हो और उसके भीतर दो अलग-अलग वृत्त हों।\nविकल्प (b) में दोनों एक-दूसरे को काटते हैं, (a) में एक बाहर है और (d) में तीनों अलग हैं; अतः विकल्प (c) सही है।","pos":2,"neg":0.5},{"id":11046,"n":46,"subject":"General Intelligence","stem":"Select the option that represents the correct order of the given words as they would appear in an English dictionary.\n1.Creation\n2. Creative 3. Creature\n4. Credit\n5. Crisis","stemHi":"उस विकल्प का चयन कीजिए जो दिए गए शब्दों का वह सही क्रम दर्शाता है जिसमें वे अंग्रेज़ी शब्दकोश में आएँगे।\n1.Creation\n2. Creative 3. Creature\n4. Credit\n5. Crisis","context":null,"contextHi":null,"options":[{"key":"a","text":"1, 2, 3, 4, 5","textHi":null,"imageUrl":null},{"key":"b","text":"1, 3, 2, 4, 5","textHi":null,"imageUrl":null},{"key":"c","text":"2, 1, 3, 5, 4","textHi":null,"imageUrl":null},{"key":"d","text":"1, 2, 4, 3, 5","textHi":null,"imageUrl":null}],"correct":"a","sol":"Dictionary order\nCompare the words letter by letter: Creation, Creative and Creature all begin with Creat.\nTheir sixth letter decides next — Creation and Creative have i, Creature has u, so Creature comes after both.\nBetween Creation and Creative the seventh letter decides: o comes before v, so Creation is ahead of Creative.\n $\"figure\"/$ \nCredit has d as its fourth letter, which follows the a of Creat-, and Crisis has i as its third letter, which follows the e of Cre-.\nThe dictionary order is Creation, Creative, Creature, Credit, Crisis, that is 1, 2, 3, 4, 5, so option (a) is correct.","solHi":"शब्दकोश क्रम\nशब्दों की तुलना अक्षर-दर-अक्षर कीजिए: Creation, Creative और Creature — तीनों Creat से आरंभ होते हैं।\nअब छठा अक्षर निर्णय करता है — Creation और Creative में i है तथा Creature में u है, अतः Creature इन दोनों के बाद आएगा।\nCreation और Creative में सातवाँ अक्षर निर्णय करता है: o, v से पहले आता है, अतः Creation, Creative से पहले आएगा।\n $\"figure\"/$ \nCredit का चौथा अक्षर d है, जो Creat- के a के बाद आता है, तथा Crisis का तीसरा अक्षर i है, जो Cre- के e के बाद आता है।\nअतः शब्दकोश क्रम Creation, Creative, Creature, Credit, Crisis अर्थात् 1, 2, 3, 4, 5 है; इसलिए विकल्प (a) सही है।","pos":2,"neg":0.5},{"id":11047,"n":47,"subject":"General Intelligence","stem":"Which option figure will complete the pattern in the question figure?\n(Rotation is not allowed)\n $\"figure\"/$ ","stemHi":"कौन-सी विकल्प आकृति प्रश्न आकृति के पैटर्न को पूरा करेगी?\n(घुमाने की अनुमति नहीं है)\n $\"figure\"/$ ","context":null,"contextHi":null,"options":[{"key":"a","text":" $\"figure\"/$ ","textHi":null,"imageUrl":null},{"key":"b","text":" $\"figure\"/$ ","textHi":null,"imageUrl":null},{"key":"c","text":" $\"figure\"/$ ","textHi":null,"imageUrl":null},{"key":"d","text":" $\"figure\"/$ ","textHi":null,"imageUrl":null}],"correct":"c","sol":"Pattern completion\nThe big square is cut into four quarters; three of them are drawn and the one at the top right is missing.\nEvery drawn quarter carries the same four things — the letter S in the outer corner of the square, two small circles and a triangle sitting in the corner nearest the centre.\nGoing round the square each quarter is the one before it turned through

90^{\circ}

, so the missing quarter must show S in its top-right corner and its triangle in the bottom-left corner, next to the centre.\n $\"figure\"/$ \nOnly option (c) has S at the top right with the triangle in the bottom-left corner and the two circles on the other diagonal, so option (c) is correct.","solHi":"पैटर्न पूर्ति\nबड़ा वर्ग चार भागों में बँटा है; उनमें से तीन भाग बने हुए हैं और ऊपर-दाईं ओर वाला भाग लुप्त है।\nप्रत्येक बने हुए भाग में एक ही जैसी चार चीज़ें हैं — वर्ग के बाहरी कोने में अक्षर S, दो छोटे वृत्त और केंद्र के सबसे निकट वाले कोने में एक त्रिभुज।\nवर्ग के चारों ओर चलने पर प्रत्येक भाग अपने पिछले भाग को

90^{\circ}

घुमाने पर बनता है, अतः लुप्त भाग में S ऊपर-दाएँ कोने में तथा त्रिभुज केंद्र के पास, नीचे-बाएँ कोने में होना चाहिए।\n $\"figure\"/$ \nकेवल विकल्प (c) में S ऊपर दाईं ओर, त्रिभुज नीचे-बाएँ कोने में और दोनों वृत्त दूसरे विकर्ण पर हैं; अतः विकल्प (c) सही है।","pos":2,"neg":0.5},{"id":11048,"n":48,"subject":"General Intelligence","stem":"In the following question, in each option a pair of figures is given. In each pair the figure towards the left of (:) is related by some logic/rule/relation with the figure on the right of (:). Select the odd figure pair from the given alternatives.\n $\"figure\"/$ ","stemHi":"निम्नलिखित प्रश्न में, प्रत्येक विकल्प में आकृतियों का एक युग्म दिया गया है। प्रत्येक युग्म में (:) के बाईं ओर की आकृति, (:) के दाईं ओर की आकृति से किसी तर्क/नियम/संबंध द्वारा संबंधित है। दिए गए विकल्पों में से विषम आकृति-युग्म का चयन कीजिए।\n $\"figure\"/$ ","context":null,"contextHi":null,"options":[{"key":"a","text":" $\"figure\"/$ ","textHi":null,"imageUrl":null},{"key":"b","text":" $\"figure\"/$ ","textHi":null,"imageUrl":null},{"key":"c","text":" $\"figure\"/$ ","textHi":null,"imageUrl":null},{"key":"d","text":" $\"figure\"/$ ","textHi":null,"imageUrl":null}],"correct":"c","sol":"Figure analogy\nCompare the first two figures: the small square at the top left goes to the bottom left, the one at the bottom right goes to the top right, the circle moves from the bottom left to the bottom right and the short slanting line from the top right to the top left.\nThat is exactly what one quarter turn anticlockwise does, and in the same turn the shaded half of the circle moves from the bottom to the right side.\n $\"figure\"/$ \nTurning the third figure the same way carries the triangle from the upper right to the upper left with its apex now pointing left, stands the small flat rectangle upright at the lower right, and swings the long line from the top-left–bottom-right direction to the bottom-left–top-right direction.\nOption (c) shows exactly this figure, so option (c) is correct.","solHi":"आकृति सादृश्य\nपहली दो आकृतियों की तुलना कीजिए: ऊपर-बाएँ का छोटा वर्ग नीचे-बाएँ, नीचे-दाएँ का छोटा वर्ग ऊपर-दाएँ, वृत्त नीचे-बाएँ से नीचे-दाएँ तथा छोटी तिरछी रेखा ऊपर-दाएँ से ऊपर-बाएँ चली जाती है।\nयह ठीक वही है जो वामावर्त दिशा में

90^{\circ}

के घुमाव से होता है, और उसी घुमाव में वृत्त का छायांकित आधा भाग नीचे से दाईं ओर आ जाता है।\n $\"figure\"/$ \nतीसरी आकृति को इसी प्रकार घुमाने पर त्रिभुज ऊपर-दाएँ से ऊपर-बाएँ चला जाता है और उसका शीर्ष अब बाईं ओर हो जाता है, छोटा लेटा हुआ आयत नीचे-दाईं ओर जाकर खड़ा हो जाता है, तथा लंबी रेखा ऊपर-बाएँ–नीचे-दाएँ दिशा से नीचे-बाएँ–ऊपर-दाएँ दिशा में आ जाती है।\nविकल्प (c) में ठीक यही आकृति दिखाई गई है, अतः विकल्प (c) सही है।","pos":2,"neg":0.5},{"id":11049,"n":49,"subject":"General Intelligence","stem":"In the following figure series, select the figure which can be placed at the sign of question mark (?) from the given alternatives.","stemHi":"निम्नलिखित आकृति शृंखला में, दिए गए विकल्पों में से उस आकृति का चयन कीजिए जिसे प्रश्नवाचक चिह्न (?) के स्थान पर रखा जा सकता है।","context":null,"contextHi":null,"options":[{"key":"a","text":" $\"figure\"/$ ","textHi":null,"imageUrl":null},{"key":"b","text":" $\"figure\"/$ ","textHi":null,"imageUrl":null},{"key":"c","text":" $\"figure\"/$ ","textHi":null,"imageUrl":null},{"key":"d","text":" $\"figure\"/$ ","textHi":null,"imageUrl":null}],"correct":"a","sol":"Figure series\nEvery figure of the series holds the same nine signs — a square, a heart, 7, T, F, X, 3, 8 and O — and at each step the signs only change their places in the grid.\nCarrying that movement one step further brings the square, the heart and 7 into the top row, X, F and T into the middle row and 3, 8 and O into the bottom row.\n $\"figure\"/$ \nThis is exactly the grid of option (a), so option (a) is correct.","solHi":"आकृति शृंखला\nशृंखला की प्रत्येक आकृति में वही नौ चिह्न हैं — वर्ग, दिल, 7, T, F, X, 3, 8 और O — और हर चरण में ये चिह्न ग्रिड में केवल अपना स्थान बदलते हैं।\nइसी गति को एक चरण और आगे बढ़ाने पर ऊपरी पंक्ति में वर्ग, दिल और 7, मध्य पंक्ति में X, F और T तथा निचली पंक्ति में 3, 8 और O आ जाते हैं।\n $\"figure\"/$ \nयही ग्रिड विकल्प (a) में है, अतः विकल्प (a) सही है।","pos":2,"neg":0.5},{"id":11050,"n":50,"subject":"General Intelligence","stem":"In a certain coded language 'KBQU' is coded as 'HYNR' and 'RPFY' is coded as 'OMCV'. How will 'NTIH' be coded in the same code language?","stemHi":"एक निश्चित कूट भाषा में 'KBQU' को 'HYNR' के रूप में तथा 'RPFY' को 'OMCV' के रूप में कूटबद्ध किया जाता है। उसी कूट भाषा में 'NTIH' को किस प्रकार कूटबद्ध किया जाएगा?","context":null,"contextHi":null,"options":[{"key":"a","text":"KFEQ","textHi":null,"imageUrl":null},{"key":"b","text":"KEQF","textHi":null,"imageUrl":null},{"key":"c","text":"KFQE","textHi":null,"imageUrl":null},{"key":"d","text":"KQFE","textHi":null,"imageUrl":null}],"correct":"d","sol":"Letter coding\nMatch the letters of the word with the letters of its code one place at a time.\n $\"figure\"/$ \nIn KBQU → HYNR every letter moves three steps back: K-3=H, B-3=Y, Q-3=N, U-3=R, and RPFY → OMCV obeys the same rule.\nApplying it to NTIH: N-3=K, T-3=Q, I-3=F, H-3=E.\nSo NTIH is coded as KQFE, and option (d) is correct.","solHi":"अक्षर कूट\nशब्द के अक्षरों का मिलान उसके कूट के अक्षरों से एक-एक करके कीजिए।\n $\"figure\"/$ \nKBQU → HYNR में प्रत्येक अक्षर तीन स्थान पीछे जाता है: K-3=H, B-3=Y, Q-3=N, U-3=R; RPFY → OMCV भी इसी नियम का पालन करता है।\nइसी नियम को NTIH पर लगाने पर: N-3=K, T-3=Q, I-3=F, H-3=E।\nअतः NTIH का कूट KQFE है और विकल्प (d) सही है।","pos":2,"neg":0.5},{"id":11051,"n":51,"subject":"Quantitative Aptitude","stem":"A bicycle is sold for ₹2000 at a loss of 20%. At what price should it be sold to gain 10% ?","stemHi":"एक साइकिल ₹2000 में 20% की हानि पर बेची जाती है। 10% का लाभ प्राप्त करने के लिए इसे किस मूल्य पर बेचा जाना चाहिए?","context":null,"contextHi":null,"options":[{"key":"a","text":"₹2450","textHi":null,"imageUrl":null},{"key":"b","text":"₹2150","textHi":null,"imageUrl":null},{"key":"c","text":"₹2350","textHi":null,"imageUrl":null},{"key":"d","text":"₹2750","textHi":null,"imageUrl":null}],"correct":"d","sol":"Profit and loss\nA loss of

20 %

means the selling price is

80 %

of the cost price.\nCost price

= \frac{2000 \times 100}{80} = 2500

, i.e. ₹2,500.\nFor a gain of

10 %

the new selling price

= 2500 \times \frac{110}{100}

.\n=2750, so the bicycle must be sold for ₹2,750 and option (d) is correct.","solHi":"लाभ और हानि\n

20 %

की हानि का अर्थ है कि विक्रय मूल्य, क्रय मूल्य का

80 %

है।\nक्रय मूल्य

= \frac{2000 \times 100}{80} = 2500

, अर्थात् ₹2,500।\n

10 %

लाभ के लिए नया विक्रय मूल्य

= 2500 \times \frac{110}{100}

।\n=2750, अतः साइकिल ₹2,750 में बेचनी होगी और विकल्प (d) सही है।","pos":2,"neg":0.5},{"id":11052,"n":52,"subject":"Quantitative Aptitude","stem":"P, Q, and R started a business. P contributed Rs. 10,000, Q contributed Rs. 12,000 , and R contributed Rs. 16,000 . After 6 months, Q withdrew Rs. 4,000, while R added Rs. 8,000. If the total profit at the end of the year is Rs. 8,4000 how much did R receive?","stemHi":"P, Q और R ने एक व्यवसाय आरंभ किया। P ने Rs. 10,000, Q ने Rs. 12,000 तथा R ने Rs. 16,000 का निवेश किया। 6 महीने बाद Q ने Rs. 4,000 निकाल लिए, जबकि R ने Rs. 8,000 और जोड़ दिए। यदि वर्ष के अंत में कुल लाभ Rs. 8,4000 है, तो R को कितना प्राप्त हुआ?","context":null,"contextHi":null,"options":[{"key":"a","text":"₹36,000","textHi":null,"imageUrl":null},{"key":"b","text":"₹24,000","textHi":null,"imageUrl":null},{"key":"c","text":"₹42,000","textHi":null,"imageUrl":null},{"key":"d","text":"₹48,000","textHi":null,"imageUrl":null}],"correct":"c","sol":"$34","solHi":"$35","pos":2,"neg":0.5},{"id":11053,"n":53,"subject":"Quantitative Aptitude","stem":"Simplify the expression:

cosec x \cos x + \sec x \sin x

.","stemHi":"व्यंजक को सरल कीजिए:

cosec x \cos x + \sec x \sin x

।","context":null,"contextHi":null,"options":[{"key":"a","text":"-1","textHi":null,"imageUrl":null},{"key":"b","text":"

\tan x \sin x

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

2 \sin x

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

\cot x + \tan x

","textHi":null,"imageUrl":null}],"correct":"d","sol":"$36","solHi":"$37","pos":2,"neg":0.5},{"id":11054,"n":54,"subject":"Quantitative Aptitude","stem":"If the ratio of shoes to socks is 5 : 3 and there are 50 shoes, how many socks are there?","stemHi":"यदि जूतों और मोज़ों का अनुपात 5 : 3 है और जूते 50 हैं, तो मोज़े कितने हैं?","context":null,"contextHi":null,"options":[{"key":"a","text":"30","textHi":null,"imageUrl":null},{"key":"b","text":"40","textHi":null,"imageUrl":null},{"key":"c","text":"20","textHi":null,"imageUrl":null},{"key":"d","text":"10","textHi":null,"imageUrl":null}],"correct":"a","sol":"Ratio and proportion\nLet the number of shoes be 5x and the number of socks be 3x.\n5x=50 gives x=10.\nSocks

= 3 x = 3 \times 10 = 30

, so option (a) is correct.","solHi":"अनुपात और समानुपात\nमाना कि जूतों की संख्या 5x और मोज़ों की संख्या 3x है।\n5x=50 से x=10।\nमोज़े

= 3 x = 3 \times 10 = 30

, अतः विकल्प (a) सही है।","pos":2,"neg":0.5},{"id":11055,"n":55,"subject":"Quantitative Aptitude","stem":"The compound interest on ₹6,000 for 1 year 6 months at 20% p.a., compounded yearly, is:","stemHi":"₹6,000 पर 1 वर्ष 6 महीने के लिए 20% वार्षिक दर से, वार्षिक रूप से संयोजित चक्रवृद्धि ब्याज कितना होगा?","context":null,"contextHi":null,"options":[{"key":"a","text":"₹1920","textHi":null,"imageUrl":null},{"key":"b","text":"₹2120","textHi":null,"imageUrl":null},{"key":"c","text":"₹2,540","textHi":null,"imageUrl":null},{"key":"d","text":"₹2,000","textHi":null,"imageUrl":null}],"correct":"a","sol":"Compound interest\nInterest is compounded yearly, so the full first year takes the rate

20 %

.\nThe extra 6 months take simple interest at

20 %

per annum on the new amount, that is

10 %

.\nAmount

= 6000 \times \frac{120}{100} \times \frac{110}{100} = 6000 \times 1.2 \times 1.1

.\n=7920.\nCompound interest =7920-6000=1920, so the interest is ₹1,920 and option (a) is correct.","solHi":"चक्रवृद्धि ब्याज\nब्याज वार्षिक रूप से संयोजित होता है, अतः पूरे पहले वर्ष पर दर

20 %

लगेगी।\nशेष 6 महीनों पर नई राशि पर

20 %

वार्षिक दर से साधारण ब्याज, अर्थात्

10 %

लगेगा।\nमिश्रधन

= 6000 \times \frac{120}{100} \times \frac{110}{100} = 6000 \times 1.2 \times 1.1

।\n=7920।\nचक्रवृद्धि ब्याज =7920-6000=1920, अतः ब्याज ₹1,920 है और विकल्प (a) सही है।","pos":2,"neg":0.5},{"id":11056,"n":56,"subject":"Quantitative Aptitude","stem":"A man deposits ₹2,50,000 at a Cl rate of 20% p.a. After the first year's interest is credited, he withdraws 40% of the interest earned. What is his account balance at the end of the second year?","stemHi":"एक व्यक्ति ₹2,50,000 की राशि 20% वार्षिक चक्रवृद्धि ब्याज दर पर जमा करता है। पहले वर्ष का ब्याज जमा हो जाने के बाद वह अर्जित ब्याज का 40% निकाल लेता है। दूसरे वर्ष के अंत में उसके खाते में कितनी राशि होगी?","context":null,"contextHi":null,"options":[{"key":"a","text":"₹2,80,000","textHi":null,"imageUrl":null},{"key":"b","text":"₹2,36,000","textHi":null,"imageUrl":null},{"key":"c","text":"₹3,36,000","textHi":null,"imageUrl":null},{"key":"d","text":"₹2,50,000","textHi":null,"imageUrl":null}],"correct":"c","sol":"Compound interest\nInterest of the first year

= 250000 \times \frac{20}{100} = 50000

.\nHe withdraws

40 %

of it

= 50000 \times \frac{40}{100} = 20000

.\nBalance left to work in the second year =250000+50000-20000=280000.\nInterest of the second year

= 280000 \times \frac{20}{100} = 56000

.\nBalance at the end =280000+56000=336000, i.e. ₹3,36,000, so option (c) is correct.","solHi":"चक्रवृद्धि ब्याज\nपहले वर्ष का ब्याज

= 250000 \times \frac{20}{100} = 50000

।\nवह इसका

40 %

निकाल लेता है

= 50000 \times \frac{40}{100} = 20000

।\nदूसरे वर्ष में लगी शेष राशि =250000+50000-20000=280000।\nदूसरे वर्ष का ब्याज

= 280000 \times \frac{20}{100} = 56000

।\nअंत में शेष राशि =280000+56000=336000, अर्थात् ₹3,36,000; अतः विकल्प (c) सही है।","pos":2,"neg":0.5},{"id":11057,"n":57,"subject":"Quantitative Aptitude","stem":"The ratio of two numbers is

5 : 3

and their LCM is 180 . What is the sum of the two numbers?","stemHi":"दो संख्याओं का अनुपात

5 : 3

है और उनका ल.स. 180 है। दोनों संख्याओं का योग क्या है?","context":null,"contextHi":null,"options":[{"key":"a","text":"96","textHi":null,"imageUrl":null},{"key":"b","text":"90","textHi":null,"imageUrl":null},{"key":"c","text":"75","textHi":null,"imageUrl":null},{"key":"d","text":"80","textHi":null,"imageUrl":null}],"correct":"a","sol":"Ratio and LCM\nLet the numbers be 5x and 3x; since 5 and 3 have no common factor, x is their HCF.\nLCM

= 5 \times 3 \times x = 15 x

.\n15x=180 gives x=12.\nSo the numbers are

5 \times 12 = 60

and

3 \times 12 = 36

.\nSum =60+36=96, so option (a) is correct.","solHi":"अनुपात और ल.स.\nमाना कि संख्याएँ 5x और 3x हैं; 5 और 3 में कोई उभयनिष्ठ गुणनखंड नहीं है, अतः x उनका म.स. है।\nल.स.

= 5 \times 3 \times x = 15 x

।\n15x=180 से x=12।\nअतः संख्याएँ

5 \times 12 = 60

और

3 \times 12 = 36

हैं।\nयोग =60+36=96, अतः विकल्प (a) सही है।","pos":2,"neg":0.5},{"id":11058,"n":58,"subject":"Quantitative Aptitude","stem":"The average age of 25 students is 16 years. A group of 5 new students joins, increasing the average to 18 years. Find the average age of the 5 new students.","stemHi":"25 विद्यार्थियों की औसत आयु 16 वर्ष है। 5 नए विद्यार्थियों का एक समूह इसमें सम्मिलित हो जाता है, जिससे औसत बढ़कर 18 वर्ष हो जाता है। 5 नए विद्यार्थियों की औसत आयु ज्ञात कीजिए।","context":null,"contextHi":null,"options":[{"key":"a","text":"30","textHi":null,"imageUrl":null},{"key":"b","text":"32","textHi":null,"imageUrl":null},{"key":"c","text":"28","textHi":null,"imageUrl":null},{"key":"d","text":"34","textHi":null,"imageUrl":null}],"correct":"c","sol":"Average\nTotal age of the 25 students

= 25 \times 16 = 400

years.\nAfter the 5 join there are 30 students of average 18, so their total age

= 30 \times 18 = 540

years.\nTotal age of the 5 new students =540-400=140 years.\nTheir average

= \frac{140}{5} = 28

years, so option (c) is correct.","solHi":"औसत\n25 विद्यार्थियों की कुल आयु

= 25 \times 16 = 400

वर्ष।\n5 विद्यार्थियों के जुड़ने पर 30 विद्यार्थियों का औसत 18 है, अतः उनकी कुल आयु

= 30 \times 18 = 540

वर्ष।\n5 नए विद्यार्थियों की कुल आयु =540-400=140 वर्ष।\nउनकी औसत आयु

= \frac{140}{5} = 28

वर्ष, अतः विकल्प (c) सही है।","pos":2,"neg":0.5},{"id":11059,"n":59,"subject":"Quantitative Aptitude","stem":"Which of the following is the least?","stemHi":"निम्नलिखित में से सबसे कम कौन-सा है?","context":null,"contextHi":null,"options":[{"key":"a","text":"

16 %

of 350","textHi":"350 का

16 %

","imageUrl":null},{"key":"b","text":"25% of 400","textHi":"400 का 25%","imageUrl":null},{"key":"c","text":"28% of 300","textHi":"300 का 28%","imageUrl":null},{"key":"d","text":"30% of 340","textHi":"340 का 30%","imageUrl":null}],"correct":"a","sol":"Percentage\nWork each option out as a number.\n

16 %

350 = \frac{16}{100} \times 350 = 56

.\n

25 %

of 400=100,

28 %

of 300=84 and

30 %

of 340=102.\n $\"figure\"/$ \nThe smallest of 56, 100, 84 and 102 is 56, so option (a) is correct.","solHi":"प्रतिशत\nप्रत्येक विकल्प का मान संख्या के रूप में निकालिए।\n350 का

16 % = \frac{16}{100} \times 350 = 56

।\n400 का

25 % = 100

, 300 का

28 % = 84

तथा 340 का

30 % = 102

।\n $\"figure\"/$ \n56, 100, 84 और 102 में सबसे कम 56 है, अतः विकल्प (a) सही है।","pos":2,"neg":0.5},{"id":11060,"n":60,"subject":"Quantitative Aptitude","stem":"Rohan goes to shop at a speed of

7 km / h

and returns home at

5 km / h

. If the total time taken is 6 hours, what is the distance between his home and shop?","stemHi":"रोहन

7 km / h

की चाल से दुकान जाता है और

5 km / h

की चाल से घर लौटता है। यदि कुल लिया गया समय 6 घंटे है, तो उसके घर और दुकान के बीच की दूरी कितनी है?","context":null,"contextHi":null,"options":[{"key":"a","text":"12.75 km","textHi":null,"imageUrl":null},{"key":"b","text":"13.25 km","textHi":null,"imageUrl":null},{"key":"c","text":"17.5 km","textHi":null,"imageUrl":null},{"key":"d","text":"14.25 km","textHi":null,"imageUrl":null}],"correct":"c","sol":"$38","solHi":"$39","pos":2,"neg":0.5},{"id":11061,"n":61,"subject":"Quantitative Aptitude","stem":"P, Q, R together finish a job in 16 days.

P

and

Q

together take 24 days, while

Q

and

R

together take 32 days. In how many days can

R

alone finish the job?","stemHi":"P, Q, R मिलकर एक कार्य को 16 दिनों में पूरा करते हैं।

P

और

Q

मिलकर 24 दिन लेते हैं, जबकि

Q

और

R

मिलकर 32 दिन लेते हैं।

R

अकेला उस कार्य को कितने दिनों में पूरा कर सकता है?","context":null,"contextHi":null,"options":[{"key":"a","text":"36 days","textHi":"36 दिन","imageUrl":null},{"key":"b","text":"40 days","textHi":"40 दिन","imageUrl":null},{"key":"c","text":"48 days","textHi":"48 दिन","imageUrl":null},{"key":"d","text":"60 days","textHi":"60 दिन","imageUrl":null}],"correct":"c","sol":"$3a","solHi":"$3b","pos":2,"neg":0.5},{"id":11062,"n":62,"subject":"Quantitative Aptitude","stem":"In a sale, a shopkeeper offers a

10 %

discount on clothes if you buy more than two items. Priyanka buys three pants for ₹2700. If the shopkeeper still makes a 25% profit, find the profit the shopkeeper would make if he had sold the pants at full price.","stemHi":"एक सेल में, एक दुकानदार कपड़ों पर

10 %

की छूट देता है, यदि आप दो से अधिक वस्तुएँ खरीदते हैं। प्रियंका तीन पैंट ₹2700 में खरीदती है। यदि दुकानदार फिर भी 25% लाभ कमाता है, तो वह लाभ ज्ञात कीजिए जो दुकानदार को तब होता, यदि उसने पैंट पूरे मूल्य पर बेची होतीं।","context":null,"contextHi":null,"options":[{"key":"a","text":"₹640","textHi":null,"imageUrl":null},{"key":"b","text":"₹840","textHi":null,"imageUrl":null},{"key":"c","text":"₹700","textHi":null,"imageUrl":null},{"key":"d","text":"₹600","textHi":null,"imageUrl":null}],"correct":"b","sol":"Profit and discount\nPriyanka buys three pants, i.e. more than two items, so the 10% discount applies and ₹2,700 is the discounted selling price.\nMarked price

= 2700 \times \frac{100}{90} = 3000

, i.e. ₹3,000.\nThe 25% profit is earned on the ₹2,700 actually received, so cost price

= 2700 \times \frac{100}{125} = 2160

, i.e. ₹2,160.\n $\"figure\"/$ \nAt full price the three pants would fetch the marked price, ₹3,000.\nProfit =3000-2160=840, i.e. ₹840.\nHence option (b) is correct.","solHi":"लाभ और छूट\nप्रियंका तीन पैंट अर्थात् दो से अधिक वस्तुएँ खरीदती है, अतः 10% की छूट लागू होती है और ₹2,700 छूट के बाद का विक्रय मूल्य है।\nअंकित मूल्य

= 2700 \times \frac{100}{90} = 3000

, अर्थात् ₹3,000।\n25% लाभ वास्तव में प्राप्त ₹2,700 पर है, अतः क्रय मूल्य

= 2700 \times \frac{100}{125} = 2160

, अर्थात् ₹2,160।\n $\"figure\"/$ \nपूरे मूल्य पर बेचने पर तीनों पैंट का विक्रय मूल्य अंकित मूल्य ₹3,000 होता।\nलाभ =3000-2160=840, अर्थात् ₹840।\nइसलिए सही विकल्प (b) है।","pos":2,"neg":0.5},{"id":11063,"n":63,"subject":"Quantitative Aptitude","stem":"At simple interest, a certain amount of money triples in four years. What is the interest rate?","stemHi":"साधारण ब्याज पर कोई धनराशि चार वर्षों में तीन गुनी हो जाती है। ब्याज की दर क्या है?","context":null,"contextHi":null,"options":[{"key":"a","text":"40%","textHi":null,"imageUrl":null},{"key":"b","text":"35%","textHi":null,"imageUrl":null},{"key":"c","text":"20%","textHi":null,"imageUrl":null},{"key":"d","text":"50%","textHi":null,"imageUrl":null}],"correct":"d","sol":"Simple interest — rate\nLet the principal be P. Tripling means the amount becomes 3P, so the interest earned is 3P-P=2P.\nFormula:

S I = \frac{P \times R \times T}{100}

.\nSubstituting

S I = 2 P

and T=4:

2 P = \frac{P \times R \times 4}{100}

.\n

R = \frac{2 \times 100}{4} = 50

\nSo the rate is 50% per annum; hence option (d) is correct.","solHi":"साधारण ब्याज — दर\nमाना कि मूलधन P है। तीन गुना होने का अर्थ है कि मिश्रधन 3P हो जाता है, अतः अर्जित ब्याज 3P-P=2P है।\nसूत्र:

S I = \frac{P \times R \times T}{100}

।\n

S I = 2 P

तथा T=4 रखने पर:

2 P = \frac{P \times R \times 4}{100}

।\n

R = \frac{2 \times 100}{4} = 50

\nअतः दर 50% वार्षिक है; इसलिए सही विकल्प (d) है।","pos":2,"neg":0.5},{"id":11064,"n":64,"subject":"Quantitative Aptitude","stem":"The length of a cuboid is six times of its breadth and the height of a cuboid is four times of its breadth. If the breadth of the cuboid is 3 cm , then what is the total surface area of the cuboid ?","stemHi":"एक घनाभ की लंबाई उसकी चौड़ाई की छह गुनी है तथा घनाभ की ऊँचाई उसकी चौड़ाई की चार गुनी है। यदि घनाभ की चौड़ाई 3 cm है, तो घनाभ का कुल पृष्ठीय क्षेत्रफल क्या है?","context":null,"contextHi":null,"options":[{"key":"a","text":"

484 {cm}^{2}

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

612 {cm}^{2}

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

576 {cm}^{2}

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

676 {cm}^{2}

","textHi":null,"imageUrl":null}],"correct":"b","sol":"$3c","solHi":"$3d","pos":2,"neg":0.5},{"id":11065,"n":65,"subject":"Quantitative Aptitude","stem":"What is the value of the expression\n $\"figure\"/$ ","stemHi":"निम्नलिखित व्यंजक का मान क्या है?\n $\"figure\"/$ ","context":null,"contextHi":null,"options":[{"key":"a","text":"1235","textHi":null,"imageUrl":null},{"key":"b","text":"1236","textHi":null,"imageUrl":null},{"key":"c","text":"1237","textHi":null,"imageUrl":null},{"key":"d","text":"1234","textHi":null,"imageUrl":null}],"correct":"c","sol":"$3e","solHi":"$3f","pos":2,"neg":0.5},{"id":11066,"n":66,"subject":"Quantitative Aptitude","stem":"A container can hold 60 liters of juice. First, 6 liters of juice are removed and the same amount of water is poured in to refill the container. The mixture is then thoroughly stirred. This entire process of removing 6 liters of juice and replacing it with water is carried out once again.\nAfter these two successive operations, how many liters of pure juice remain in the container?","stemHi":"एक पात्र में 60 लीटर जूस आ सकता है। पहले 6 लीटर जूस निकाला जाता है और पात्र को पुनः भरने के लिए उतनी ही मात्रा में पानी डाल दिया जाता है। इसके बाद मिश्रण को अच्छी तरह मिलाया जाता है। 6 लीटर जूस निकालने और उसके स्थान पर पानी डालने की यह पूरी प्रक्रिया एक बार और की जाती है।\nइन दो क्रमिक प्रक्रियाओं के बाद पात्र में कितने लीटर शुद्ध जूस शेष रहता है?","context":null,"contextHi":null,"options":[{"key":"a","text":"45 liters","textHi":"45 लीटर","imageUrl":null},{"key":"b","text":"42 liters","textHi":"42 लीटर","imageUrl":null},{"key":"c","text":"48.6 liters","textHi":"48.6 लीटर","imageUrl":null},{"key":"d","text":"40.5 liters","textHi":"40.5 लीटर","imageUrl":null}],"correct":"c","sol":"$40","solHi":"$41","pos":2,"neg":0.5},{"id":11067,"n":67,"subject":"Quantitative Aptitude","stem":"The perimeter of a rectangle is equal to the perimeter of a square. If the length and the breadth of the rectangle are 10 cm and 8 cm , respectively, then what will be the area of the square?","stemHi":"एक आयत का परिमाप एक वर्ग के परिमाप के बराबर है। यदि आयत की लंबाई और चौड़ाई क्रमशः 10 cm और 8 cm हैं, तो वर्ग का क्षेत्रफल क्या होगा?","context":null,"contextHi":null,"options":[{"key":"a","text":"

72 {cm}^{2}

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

98 {cm}^{2}

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

81 {cm}^{2}

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

64 {cm}^{2}

","textHi":null,"imageUrl":null}],"correct":"c","sol":"Perimeter and area\nPerimeter of the rectangle =2(l+b)=2(10+8)=36 cm.\nThe square has the same perimeter, so 4a=36, giving side a=9 cm.\n $\"figure\"/$ \nArea of the square

= a^{2} = 9^{2} = 81

\nSo the area is

81 {c m}^{2}

; hence option (c) is correct.","solHi":"परिमाप और क्षेत्रफल\nआयत का परिमाप =2(l+b)=2(10+8)=36 cm।\nवर्ग का परिमाप भी यही है, अतः 4a=36, जिससे भुजा a=9 cm प्राप्त होती है।\n $\"figure\"/$ \nवर्ग का क्षेत्रफल

= a^{2} = 9^{2} = 81

\nअतः क्षेत्रफल

81 {c m}^{2}

है; इसलिए सही विकल्प (c) है।","pos":2,"neg":0.5},{"id":11068,"n":68,"subject":"Quantitative Aptitude","stem":"A bus travels at a constant speed. It covers

\frac{3}{7}

of a journey in 6 hours. How long will it take to cover the remaining journey?","stemHi":"एक बस नियत चाल से चलती है। वह किसी यात्रा का

\frac{3}{7}

भाग 6 घंटों में तय करती है। शेष यात्रा तय करने में उसे कितना समय लगेगा?","context":null,"contextHi":null,"options":[{"key":"a","text":"12 hours","textHi":"12 घंटे","imageUrl":null},{"key":"b","text":"8 hours","textHi":"8 घंटे","imageUrl":null},{"key":"c","text":"15 hours","textHi":"15 घंटे","imageUrl":null},{"key":"d","text":"10 hours","textHi":"10 घंटे","imageUrl":null}],"correct":"b","sol":"$42","solHi":"$43","pos":2,"neg":0.5},{"id":11069,"n":69,"subject":"Quantitative Aptitude","stem":"In

△ ABC

, the coordinates of the vertices are

A (2, 3), B (3, 6)

, and

C (4, 9)

. Find the coordinates of the centroid.","stemHi":"

△ ABC

में शीर्षों के निर्देशांक

A (2, 3), B (3, 6)

तथा

C (4, 9)

हैं। केंद्रक के निर्देशांक ज्ञात कीजिए।","context":null,"contextHi":null,"options":[{"key":"a","text":"

(7, 3)

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

(3, 7)

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

(6, 3)

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

(3, 6)

","textHi":null,"imageUrl":null}],"correct":"d","sol":"$44","solHi":"$45","pos":2,"neg":0.5},{"id":11070,"n":70,"subject":"Quantitative Aptitude","stem":"Two similar triangles have areas in the ratio of

36 : 64

. What is the ratio of their corresponding perimeters?","stemHi":"दो समरूप त्रिभुजों के क्षेत्रफलों का अनुपात

36 : 64

है। उनके संगत परिमापों का अनुपात क्या है?","context":null,"contextHi":null,"options":[{"key":"a","text":"6 : 8","textHi":null,"imageUrl":null},{"key":"b","text":"36 : 64","textHi":null,"imageUrl":null},{"key":"c","text":"7 : 11","textHi":null,"imageUrl":null},{"key":"d","text":"3 : 7","textHi":null,"imageUrl":null}],"correct":"a","sol":"Similar triangles — ratios\nIn similar triangles the ratio of the areas is the square of the ratio of the corresponding sides.\nSo

\frac{s_{1}}{s_{2}} = \sqrt{\frac{36}{64}} = \frac{6}{8}

.\nEvery side of the larger triangle is that same multiple of the matching side, so the perimeters are in the ratio of the sides.\n $\"figure\"/$ \nHence the perimeters are in the ratio 6:8, and option (a) is correct.","solHi":"समरूप त्रिभुज — अनुपात\nसमरूप त्रिभुजों में क्षेत्रफलों का अनुपात संगत भुजाओं के अनुपात का वर्ग होता है।\nअतः

\frac{s_{1}}{s_{2}} = \sqrt{\frac{36}{64}} = \frac{6}{8}

।\nबड़े त्रिभुज की प्रत्येक भुजा संगत भुजा की उसी गुणज है, अतः परिमापों का अनुपात भुजाओं के अनुपात के बराबर होता है।\n $\"figure\"/$ \nइसलिए परिमापों का अनुपात 6:8 है और सही विकल्प (a) है।","pos":2,"neg":0.5},{"id":11071,"n":71,"subject":"Quantitative Aptitude","stem":"What is the slope of the line that passes through the points

(3, 2)

and (5, 12) ?","stemHi":"उन बिंदुओं

(3, 2)

और (5, 12) से होकर जाने वाली रेखा की ढाल क्या है?","context":null,"contextHi":null,"options":[{"key":"a","text":"4","textHi":null,"imageUrl":null},{"key":"b","text":"

\frac{3}{4}

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

\frac{3}{5}

","textHi":null,"imageUrl":null},{"key":"d","text":"5","textHi":null,"imageUrl":null}],"correct":"d","sol":"$46","solHi":"$47","pos":2,"neg":0.5},{"id":11072,"n":72,"subject":"Quantitative Aptitude","stem":"Solve:\n

\frac{y}{(y + 1)} + \frac{1}{y} = 4 .

","stemHi":"हल कीजिए:\n

\frac{y}{(y + 1)} + \frac{1}{y} = 4 .

","context":null,"contextHi":null,"options":[{"key":"a","text":"

y = \frac{- 3 + \sqrt{21}}{6}

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

y = \frac{(- 1 + \sqrt{5})}{2}

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

y = \frac{(3 + \sqrt{21})}{6}

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

y = \frac{(- 1 + \sqrt{5})}{8}

","textHi":null,"imageUrl":null}],"correct":"a","sol":"$48","solHi":"$49","pos":2,"neg":0.5},{"id":11073,"n":73,"subject":"Quantitative Aptitude","stem":"Two triangles are similar. The ratio of their corresponding side lengths is 5: 8. If the length of an altitude of the smaller triangle is 15 cm , what is the length of the corresponding altitude of the larger triangle?","stemHi":"दो त्रिभुज समरूप हैं। उनकी संगत भुजाओं की लंबाइयों का अनुपात 5: 8 है। यदि छोटे त्रिभुज के एक शीर्षलंब की लंबाई 15 cm है, तो बड़े त्रिभुज के संगत शीर्षलंब की लंबाई क्या है?","context":null,"contextHi":null,"options":[{"key":"a","text":"8 cm","textHi":null,"imageUrl":null},{"key":"b","text":"16 cm","textHi":null,"imageUrl":null},{"key":"c","text":"24 cm","textHi":null,"imageUrl":null},{"key":"d","text":"32 cm","textHi":null,"imageUrl":null}],"correct":"c","sol":"Similar triangles — altitude\nIn similar triangles every pair of corresponding lengths — sides, altitudes, medians, angle bisectors — is in the same ratio.\nSo

\frac{15}{h} = \frac{5}{8}

, where h is the required altitude.\n

h = \frac{15 \times 8}{5} = 24

\n $\"figure\"/$ \nSo the corresponding altitude of the larger triangle is 24 cm; hence option (c) is correct.","solHi":"समरूप त्रिभुज — शीर्षलंब\nसमरूप त्रिभुजों में संगत लंबाइयों के प्रत्येक युग्म — भुजाएँ, शीर्षलंब, माध्यिकाएँ, कोण-समद्विभाजक — का अनुपात समान होता है।\nअतः

\frac{15}{h} = \frac{5}{8}

, जहाँ h अभीष्ट शीर्षलंब है।\n

h = \frac{15 \times 8}{5} = 24

\n $\"figure\"/$ \nअतः बड़े त्रिभुज का संगत शीर्षलंब 24 cm है; इसलिए सही विकल्प (c) है।","pos":2,"neg":0.5},{"id":11074,"n":74,"subject":"Quantitative Aptitude","stem":"Solve:\n

25^{\frac{3}{2}} + 25^{\frac{3}{2}} = ?

","stemHi":"हल कीजिए:\n

25^{\frac{3}{2}} + 25^{\frac{3}{2}} = ?

","context":null,"contextHi":null,"options":[{"key":"a","text":"

\frac{125}{15626}

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

\frac{15626}{125}

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

\frac{15626}{625}

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

\frac{15626}{25}

","textHi":null,"imageUrl":null}],"correct":"b","sol":"$4a","solHi":"$4b","pos":2,"neg":0.5},{"id":11075,"n":75,"subject":"Quantitative Aptitude","stem":"If

\frac{\sin θ}{1 + \cos θ} + \frac{1 + \cos θ}{\sin θ} = \frac{4}{\sqrt{3}}

0^{\circ} < θ < 90^{\circ}

, then the value of

(\tan θ + \sec θ)^{- 1}

is :","stemHi":"यदि

\frac{\sin θ}{1 + \cos θ} + \frac{1 + \cos θ}{\sin θ} = \frac{4}{\sqrt{3}}

0^{\circ} < θ < 90^{\circ}

है, तो

(\tan θ + \sec θ)^{- 1}

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

2 - \sqrt{3}

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

3 - \sqrt{2}

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

3 + \sqrt{2}

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

2 + \sqrt{3}

","textHi":null,"imageUrl":null}],"correct":"a","sol":"$4c","solHi":"$4d","pos":2,"neg":0.5},{"id":11076,"n":76,"subject":"General Awareness","stem":"Article 51 of the Indian Constitution primarily deals with which of the following objectives?","stemHi":"भारतीय संविधान का अनुच्छेद 51 मुख्य रूप से निम्नलिखित में से किस उद्देश्य से संबंधित है?","context":null,"contextHi":null,"options":[{"key":"a","text":"Development of rural cooperative institutions","textHi":"ग्रामीण सहकारी संस्थाओं का विकास","imageUrl":null},{"key":"b","text":"Promotion of international peace and security","textHi":"अंतर्राष्ट्रीय शांति और सुरक्षा को बढ़ावा देना","imageUrl":null},{"key":"c","text":"Implementation of a Uniform Civil Code","textHi":"समान नागरिक संहिता का कार्यान्वयन","imageUrl":null},{"key":"d","text":"Regulation of agriculture and livestock activities","textHi":"कृषि और पशुधन संबंधी गतिविधियों का विनियमन","imageUrl":null}],"correct":"b","sol":"Directive Principles — Article 51\nArticle 51 lies in Part IV of the Constitution, which contains the Directive Principles of State Policy.\nIt directs the State to promote international peace and security, to maintain just and honourable relations between nations, to respect international law and treaty obligations and to encourage the settlement of international disputes by arbitration.\n $\"figure\"/$ \nThe other choices belong to different Articles: the Uniform Civil Code is Article 44 and the organisation of agriculture and animal husbandry is Article 48.\nHence option (b) is correct.","solHi":"नीति निदेशक तत्व — अनुच्छेद 51\nअनुच्छेद 51 संविधान के भाग IV में आता है, जिसमें राज्य के नीति निदेशक तत्व दिए गए हैं।\nयह राज्य को निर्देश देता है कि वह अंतर्राष्ट्रीय शांति और सुरक्षा को बढ़ावा दे, राष्ट्रों के बीच न्यायसंगत तथा सम्मानपूर्ण संबंध बनाए रखे, अंतर्राष्ट्रीय विधि तथा संधि-दायित्वों का सम्मान करे और अंतर्राष्ट्रीय विवादों का समाधान माध्यस्थम् द्वारा कराने को प्रोत्साहित करे।\n $\"figure\"/$ \nअन्य विकल्प भिन्न अनुच्छेदों से संबंधित हैं: समान नागरिक संहिता अनुच्छेद 44 में तथा कृषि एवं पशुपालन का संगठन अनुच्छेद 48 में है।\nइसलिए सही विकल्प (b) है।","pos":2,"neg":0.5},{"id":11077,"n":77,"subject":"General Awareness","stem":"In September 2024, who assumed the position of Director General of the Narcotics Control Bureau (NCB) in India ?","stemHi":"सितंबर 2024 में भारत में स्वापक नियंत्रण ब्यूरो (NCB) के महानिदेशक का पद किसने ग्रहण किया?","context":null,"contextHi":null,"options":[{"key":"a","text":"Rakesh Singh","textHi":null,"imageUrl":null},{"key":"b","text":"Anurag Garg","textHi":null,"imageUrl":null},{"key":"c","text":"Vivek Sharma","textHi":null,"imageUrl":null},{"key":"d","text":"Anil Verma","textHi":null,"imageUrl":null}],"correct":"b","sol":"Appointments — NCB\nAnurag Garg took charge as Director General of the Narcotics Control Bureau (NCB) in September 2024.\nHe is a 1993-batch IPS officer of the Himachal Pradesh cadre and his appointment was cleared by the Appointments Committee of the Cabinet; he succeeded S. N. Pradhan.\nThe NCB was constituted in 1986 under the NDPS Act, 1985, works under the Ministry of Home Affairs and is India's nodal agency against drug trafficking.\nHence option (b) is correct.","solHi":"नियुक्तियाँ — NCB\nAnurag Garg ने सितंबर 2024 में स्वापक नियंत्रण ब्यूरो (NCB) के महानिदेशक का पदभार ग्रहण किया।\nवे हिमाचल प्रदेश कैडर के 1993 बैच के IPS अधिकारी हैं तथा उनकी नियुक्ति मंत्रिमंडल की नियुक्ति समिति द्वारा स्वीकृत की गई; उन्होंने S. N. Pradhan का स्थान लिया।\nNCB की स्थापना NDPS अधिनियम, 1985 के अंतर्गत वर्ष 1986 में हुई थी; यह गृह मंत्रालय के अधीन कार्य करता है और मादक पदार्थों की तस्करी के विरुद्ध भारत की नोडल एजेंसी है।\nइसलिए सही विकल्प (b) है।","pos":2,"neg":0.5},{"id":11078,"n":78,"subject":"General Awareness","stem":"The Dharti Aaba Janjatiya Gram Utkarsh Abhiyan was launched on October 2, 2024, in which Indian state?","stemHi":"धरती आबा जनजातीय ग्राम उत्कर्ष अभियान 2 अक्तूबर, 2024 को भारत के किस राज्य में आरंभ किया गया था?","context":null,"contextHi":null,"options":[{"key":"a","text":"Chhattisgarh","textHi":"छत्तीसगढ़","imageUrl":null},{"key":"b","text":"Odisha","textHi":"ओडिशा","imageUrl":null},{"key":"c","text":"Jharkhand","textHi":"झारखंड","imageUrl":null},{"key":"d","text":"Maharashtra","textHi":"महाराष्ट्र","imageUrl":null}],"correct":"c","sol":"Government scheme — DAJGUA\nThe Dharti Aaba Janjatiya Gram Utkarsh Abhiyan was launched by Prime Minister Narendra Modi on 2 October 2024 from Hazaribagh in Jharkhand.\n'Dharti Aaba', meaning 'Father of the Earth', is the popular name of the tribal freedom fighter Birsa Munda, who was born in Jharkhand.\nThe mission aims at saturation coverage of basic facilities in about 63,000 tribal-majority villages, benefiting nearly 5 crore tribal people.\nHence option (c) is correct.","solHi":"सरकारी योजना — DAJGUA\nधरती आबा जनजातीय ग्राम उत्कर्ष अभियान प्रधानमंत्री Narendra Modi द्वारा 2 अक्तूबर, 2024 को झारखंड के हज़ारीबाग से आरंभ किया गया था।\n'धरती आबा' अर्थात् 'धरती के पिता' जनजातीय स्वतंत्रता सेनानी Birsa Munda का लोकप्रिय नाम है, जिनका जन्म झारखंड में हुआ था।\nइस अभियान का लक्ष्य लगभग 63,000 जनजातीय-बहुल गाँवों में मूलभूत सुविधाओं की संतृप्ति है, जिससे लगभग 5 करोड़ जनजातीय लोग लाभान्वित होंगे।\nइसलिए सही विकल्प (c) है।","pos":2,"neg":0.5},{"id":11079,"n":79,"subject":"General Awareness","stem":"In the World Competitiveness Index 2024, India holds which rank globally?","stemHi":"विश्व प्रतिस्पर्धात्मकता सूचकांक 2024 में भारत का वैश्विक स्थान कौन-सा है?","context":null,"contextHi":null,"options":[{"key":"a","text":"29th","textHi":"29वाँ","imageUrl":null},{"key":"b","text":"46th","textHi":"46वाँ","imageUrl":null},{"key":"c","text":"39th","textHi":"39वाँ","imageUrl":null},{"key":"d","text":"52nd","textHi":"52वाँ","imageUrl":null}],"correct":"c","sol":"Index and rank — competitiveness\nIndia was placed 39th in the World Competitiveness Index 2024, an improvement of one place over its 40th rank in 2023.\nThe index is published every year by the International Institute for Management Development (IMD), Lausanne, and measures how well an economy manages its resources and competencies to create prosperity.\nSingapore topped the 2024 ranking, followed by Switzerland and Denmark.\nHence option (c) is correct.","solHi":"सूचकांक और रैंक — प्रतिस्पर्धात्मकता\nविश्व प्रतिस्पर्धात्मकता सूचकांक 2024 में भारत 39वें स्थान पर रहा, जो 2023 के 40वें स्थान से एक पायदान ऊपर है।\nयह सूचकांक प्रतिवर्ष International Institute for Management Development (IMD), Lausanne द्वारा प्रकाशित किया जाता है और यह मापता है कि कोई अर्थव्यवस्था समृद्धि सृजित करने के लिए अपने संसाधनों तथा क्षमताओं का कितनी अच्छी तरह प्रबंधन करती है।\nवर्ष 2024 की रैंकिंग में Singapore पहले स्थान पर रहा, उसके बाद Switzerland और Denmark का स्थान रहा।\nइसलिए सही विकल्प (c) है।","pos":2,"neg":0.5},{"id":11080,"n":80,"subject":"General Awareness","stem":"The State of the World's Children 2024 report is released by which international organization?","stemHi":"The State of the World's Children 2024 रिपोर्ट किस अंतर्राष्ट्रीय संगठन द्वारा जारी की जाती है?","context":null,"contextHi":null,"options":[{"key":"a","text":"WHO","textHi":null,"imageUrl":null},{"key":"b","text":"UNICEF","textHi":null,"imageUrl":null},{"key":"c","text":"UNESCO","textHi":null,"imageUrl":null},{"key":"d","text":"IMF","textHi":null,"imageUrl":null}],"correct":"b","sol":"Reports and organisations\nThe State of the World's Children is the annual flagship report of UNICEF, the United Nations Children's Fund.\nThe 2024 edition, 'The Future of Childhood in a Changing World', examines how demographic change, the climate crisis and new technologies will shape children's lives by 2050.\nUNICEF was created in 1946 and is headquartered in New York; the WHO, UNESCO and the IMF bring out other reports, not this one.\nHence option (b) is correct.","solHi":"रिपोर्ट और संगठन\nThe State of the World's Children संयुक्त राष्ट्र बाल कोष (UNICEF) की वार्षिक प्रमुख रिपोर्ट है।\nइसका 2024 संस्करण 'The Future of Childhood in a Changing World' यह जाँचता है कि जनसांख्यिकीय परिवर्तन, जलवायु संकट तथा नई प्रौद्योगिकियाँ 2050 तक बच्चों के जीवन को किस प्रकार आकार देंगी।\nUNICEF की स्थापना 1946 में हुई थी और इसका मुख्यालय New York में है; WHO, UNESCO तथा IMF अन्य रिपोर्ट प्रकाशित करते हैं, यह रिपोर्ट नहीं।\nइसलिए सही विकल्प (b) है।","pos":2,"neg":0.5},{"id":11081,"n":81,"subject":"General Awareness","stem":"Allographa effusosoredica, a species recently discovered in the Western Ghats, belongs to which category?","stemHi":"Allographa effusosoredica, जो हाल ही में पश्चिमी घाट में खोजी गई एक प्रजाति है, किस श्रेणी से संबंधित है?","context":null,"contextHi":null,"options":[{"key":"a","text":"Moss","textHi":"मॉस","imageUrl":null},{"key":"b","text":"Lichen","textHi":"लाइकेन","imageUrl":null},{"key":"c","text":"Frog","textHi":"मेढक","imageUrl":null},{"key":"d","text":"Beetle","textHi":"भृंग","imageUrl":null}],"correct":"b","sol":"Newly discovered species\nAllographa effusosoredica is a newly described crustose lichen, reported from the Western Ghats.\nA lichen is not one organism but a partnership — a fungus living with an alga; here the fungal partner grows with the green alga Trentepohlia.\nIts name comes from its effuse soredia: loose, powdery bundles of algal cells wrapped in fungal threads, by which the lichen spreads vegetatively.\nIt also carries norstictic acid, one of the lichen substances that taxonomists use to tell closely related species apart.\nLichens absorb everything straight from the air, so they are sensitive indicators of clean air, and such a find adds to the biodiversity record of the Western Ghats.","solHi":"नव-खोजित प्रजाति\nAllographa effusosoredica एक नव-वर्णित क्रस्टोज लाइकेन है, जिसकी खोज पश्चिमी घाट में की गई है।\nलाइकेन कोई एक जीव नहीं, बल्कि एक सहजीवी संबंध है — कवक और शैवाल का सहवास; इसमें कवक हरे शैवाल Trentepohlia के साथ रहता है।\nइसका नाम इसके विस्तृत सोरीडिया से पड़ा है: शैवाल कोशिकाओं के ढीले, चूर्णमय गुच्छे जो कवक-तंतुओं से लिपटे रहते हैं और जिनके द्वारा लाइकेन कायिक रूप से फैलता है।\nइसमें नॉरस्टिक्टिक अम्ल (norstictic acid) भी पाया जाता है, जो उन लाइकेन-रसायनों में से एक है जिनसे वर्गीकरणविद् निकट संबंधी प्रजातियों में अंतर करते हैं।\nलाइकेन सब कुछ सीधे वायु से ग्रहण करते हैं, अतः वे स्वच्छ वायु के संवेदनशील सूचक हैं और ऐसी खोज पश्चिमी घाट की जैव-विविधता के अभिलेख को समृद्ध करती है। इसलिए सही विकल्प (b) है।","pos":2,"neg":0.5},{"id":11082,"n":82,"subject":"General Awareness","stem":"The book "Above Average" is written by which author?","stemHi":"पुस्तक "Above Average" किस लेखक द्वारा लिखी गई है?","context":null,"contextHi":null,"options":[{"key":"a","text":"Chetan Bhagat","textHi":null,"imageUrl":null},{"key":"b","text":"Amitabha Bagchi","textHi":null,"imageUrl":null},{"key":"c","text":"Kiran Desai","textHi":null,"imageUrl":null},{"key":"d","text":"Arundhati Roy","textHi":null,"imageUrl":null}],"correct":"b","sol":"Authors and their books\nAbove Average (2007) is the debut novel of Amitabha Bagchi; it follows Arindam Chatterjee through coaching classes, IIT Delhi and the years after it.\nBagchi also wrote The Householder, This Place and Half the Night Is Gone, which won the DSC Prize for South Asian Literature in 2019.\n $\"figure\"/$ \nThe other three are well-known writers, but each is remembered for a different book, as the table shows.","solHi":"लेखक और उनकी पुस्तकें\nAbove Average (2007) Amitabha Bagchi का प्रथम उपन्यास है; इसमें अरिंदम चटर्जी की कोचिंग कक्षाओं, IIT Delhi और उसके बाद के वर्षों की कथा है।\nBagchi ने The Householder, This Place तथा Half the Night Is Gone भी लिखे, जिनमें से अंतिम को 2019 का DSC Prize for South Asian Literature मिला।\n $\"figure\"/$ \nशेष तीनों भी प्रसिद्ध लेखक हैं, किंतु उनमें से प्रत्येक अपनी अलग कृति के लिए जाना जाता है, जैसा तालिका में दिखाया गया है। इसलिए सही विकल्प (b) है।","pos":2,"neg":0.5},{"id":11083,"n":83,"subject":"General Awareness","stem":"'Mangal' folk songs, often performed during auspicious wedding ceremonies, are traditional to which Indian state?","stemHi":"'Mangal' लोकगीत, जो प्रायः शुभ विवाह समारोहों में गाए जाते हैं, किस भारतीय राज्य की पारंपरिक विधा हैं?","context":null,"contextHi":null,"options":[{"key":"a","text":"Gujarat","textHi":"गुजरात","imageUrl":null},{"key":"b","text":"Uttarakhand","textHi":"उत्तराखंड","imageUrl":null},{"key":"c","text":"Odisha","textHi":"ओडिशा","imageUrl":null},{"key":"d","text":"Karnataka","textHi":"कर्नाटक","imageUrl":null}],"correct":"b","sol":"Folk songs of Uttarakhand\nMangal (Mangal geet) are the auspicious songs sung by the women of Uttarakhand at weddings, sacred-thread ceremonies and house-warmings.\nThey invoke the blessings of the local deities on the bride and the groom, and are sung in chorus with little or no instrumental support.\nMangal belongs to the ritual layer of Uttarakhand's folk music; other forms of the state are Jhoda, Chanchari, Bajuband, Chhopati and the invocatory ballad Jagar.\nGujarat, Odisha and Karnataka have their own wedding traditions, but the term Mangal geet is identified with the Himalayan belt of Uttarakhand.","solHi":"उत्तराखंड के लोकगीत\nमंगल (मंगल गीत) उत्तराखंड की महिलाओं द्वारा विवाह, यज्ञोपवीत तथा गृह-प्रवेश जैसे शुभ अवसरों पर गाए जाने वाले गीत हैं।\nइनमें वर-वधू के लिए स्थानीय देवी-देवताओं से आशीर्वाद की कामना की जाती है और इन्हें प्रायः बिना वाद्य-संगत के समूह में गाया जाता है।\nमंगल गीत उत्तराखंड के लोक-संगीत की संस्कार-परंपरा का अंग हैं; राज्य के अन्य लोकगीत रूप हैं — झोड़ा, चांचरी, बाजूबंद, छोपती तथा आह्वान-गाथा जागर।\nगुजरात, ओडिशा और कर्नाटक की अपनी विवाह-परंपराएँ हैं, किंतु 'मंगल गीत' शब्द उत्तराखंड के हिमालयी क्षेत्र से जुड़ा है। इसलिए सही विकल्प (b) है।","pos":2,"neg":0.5},{"id":11084,"n":84,"subject":"General Awareness","stem":"The novel Pinjar, which depicts the hardships and trauma of the Partition of India, was authored by which writer?","stemHi":"उपन्यास Pinjar, जो भारत विभाजन की कठिनाइयों और पीड़ा को चित्रित करता है, किस लेखक द्वारा लिखा गया था?","context":null,"contextHi":null,"options":[{"key":"a","text":"Bhisham Sahni","textHi":null,"imageUrl":null},{"key":"b","text":"Amrita Pritam","textHi":null,"imageUrl":null},{"key":"c","text":"Rajinder Singh Bedi","textHi":null,"imageUrl":null},{"key":"d","text":"Shashi Deshpande","textHi":null,"imageUrl":null}],"correct":"b","sol":"Partition literature\nPinjar (The Skeleton, 1950) is Amrita Pritam's Punjabi novel about Puro, a Hindu girl abducted on the eve of Partition and left belonging to neither community.\nAmrita Pritam is also remembered for the poem 'Ajj Aakhaan Waris Shah Nu', her lament on the violence of 1947.\nShe was the first woman to receive the Sahitya Akademi Award in Punjabi (1956) and won the Jnanpith Award in 1981.\n $\"figure\"/$ \nBhisham Sahni and Rajinder Singh Bedi also wrote on Partition, but through Tamas and Ek Chadar Maili Si; Shashi Deshpande writes on quite different themes.","solHi":"विभाजन का साहित्य\nPinjar (द स्केलेटन, 1950) Amrita Pritam का पंजाबी उपन्यास है, जिसकी नायिका पूरो विभाजन की पूर्व-संध्या पर अपहृत होकर किसी भी समुदाय की नहीं रह जाती।\nAmrita Pritam अपनी कविता 'अज्ज आखाँ वारिस शाह नूं' के लिए भी स्मरणीय हैं, जो 1947 की हिंसा पर लिखा गया विलाप-गीत है।\nपंजाबी में साहित्य अकादमी पुरस्कार (1956) पाने वाली वे पहली महिला थीं तथा 1981 में उन्हें ज्ञानपीठ पुरस्कार मिला।\n $\"figure\"/$ \nBhisham Sahni और Rajinder Singh Bedi ने भी विभाजन पर लिखा, किंतु क्रमशः Tamas तथा Ek Chadar Maili Si में; Shashi Deshpande के विषय इससे भिन्न हैं। इसलिए सही विकल्प (b) है।","pos":2,"neg":0.5},{"id":11085,"n":85,"subject":"General Awareness","stem":"Which traditional dance is an important part of Sikkim's cultural heritage?","stemHi":"कौन-सा पारंपरिक नृत्य सिक्किम की सांस्कृतिक विरासत का महत्वपूर्ण अंग है?","context":null,"contextHi":null,"options":[{"key":"a","text":"Garba","textHi":"गरबा","imageUrl":null},{"key":"b","text":"Snow Lion","textHi":"स्नो लायन","imageUrl":null},{"key":"c","text":"Bihu","textHi":"बिहू","imageUrl":null},{"key":"d","text":"Lavani","textHi":"लावणी","imageUrl":null}],"correct":"b","sol":"Folk dances of states\nThe Snow Lion dance — Singhi Chham — is a masked folk dance of Sikkim in which the dancers wear the costume of the mythical white snow lion of the Himalaya.\nThe snow lion stands for Mount Kanchenjunga, the guardian deity of Sikkim, so the dance is performed at Buddhist festivals such as Pang Lhabsol.\n $\"figure\"/$ \nSikkim's other traditional dances include Yak Chham, Chu Faat, Tamang Selo and the Sherpa dances.\nGarba, Bihu and Lavani belong to Gujarat, Assam and Maharashtra respectively.","solHi":"राज्यों के लोकनृत्य\nस्नो लायन नृत्य — सिंघी छम — सिक्किम का एक मुखौटा लोकनृत्य है, जिसमें नर्तक हिमालय के पौराणिक श्वेत हिम-सिंह की वेशभूषा धारण करते हैं।\nहिम-सिंह कंचनजंगा पर्वत का प्रतीक है, जो सिक्किम के रक्षक देवता माने जाते हैं; अतः यह नृत्य पांग ल्हाब्सोल जैसे बौद्ध उत्सवों पर किया जाता है।\n $\"figure\"/$ \nसिक्किम के अन्य पारंपरिक नृत्यों में याक छम, चू फाट, तामांग सेलो तथा शेरपा नृत्य सम्मिलित हैं।\nगरबा, बिहू और लावणी क्रमशः गुजरात, असम और महाराष्ट्र के नृत्य हैं। इसलिए सही विकल्प (b) है।","pos":2,"neg":0.5},{"id":11086,"n":86,"subject":"General Awareness","stem":"The widely accepted scientific explanation for the origin of the universe is known as the

____

.","stemHi":"ब्रह्मांड की उत्पत्ति की व्यापक रूप से स्वीकृत वैज्ञानिक व्याख्या

____

के रूप में जानी जाती है।","context":null,"contextHi":null,"options":[{"key":"a","text":"Steady State Theory","textHi":"स्थिर अवस्था सिद्धांत","imageUrl":null},{"key":"b","text":"Big Bang Theory","textHi":"बिग बैंग सिद्धांत","imageUrl":null},{"key":"c","text":"Theory of Relativity","textHi":"सापेक्षता का सिद्धांत","imageUrl":null},{"key":"d","text":"Multiverse Theory","textHi":"बहुविश्व सिद्धांत","imageUrl":null}],"correct":"b","sol":"Origin of the universe\nThe accepted account is the Big Bang Theory: about 13.8 billion years ago the universe began in an extremely hot, dense state and has been expanding ever since.\nTwo observations support it — the redshift of distant galaxies, which shows that they are all receding from us, and the cosmic microwave background radiation, the cooled afterglow of that early hot phase.\nThe Steady State Theory assumed instead that matter is created continuously so that the density of the expanding universe never changes; the discovery of the microwave background went against it.\nThe Theory of Relativity is Einstein's account of space, time and gravity, and the Multiverse is a speculative extension — neither is the accepted explanation of the origin.","solHi":"ब्रह्मांड की उत्पत्ति\nस्वीकृत व्याख्या बिग बैंग सिद्धांत है: लगभग 13.8 अरब वर्ष पूर्व ब्रह्मांड अत्यंत गर्म एवं सघन अवस्था से प्रारंभ हुआ और तभी से उसका प्रसार हो रहा है।\nइसके समर्थन में दो प्रेक्षण हैं — दूरस्थ आकाशगंगाओं का लाल विस्थापन (रेडशिफ्ट), जो दर्शाता है कि वे सब हमसे दूर जा रही हैं, तथा ब्रह्मांडीय सूक्ष्मतरंग पृष्ठभूमि विकिरण, जो उसी आरंभिक तप्त अवस्था का ठंडा हो चुका अवशेष है।\nइसके विपरीत स्थिर अवस्था सिद्धांत यह मानता था कि पदार्थ का सतत सृजन होता रहता है जिससे प्रसारित होते ब्रह्मांड का घनत्व कभी नहीं बदलता; सूक्ष्मतरंग पृष्ठभूमि की खोज इस मत के विरुद्ध गई।\nसापेक्षता का सिद्धांत आइंस्टीन का देश, काल एवं गुरुत्व संबंधी सिद्धांत है और बहुविश्व एक काल्पनिक विस्तार है — दोनों में से कोई भी उत्पत्ति की स्वीकृत व्याख्या नहीं है। इसलिए सही विकल्प (b) है।","pos":2,"neg":0.5},{"id":11087,"n":87,"subject":"General Awareness","stem":"When an object's speed or direction changes, it indicates which of the following?","stemHi":"जब किसी वस्तु की चाल या दिशा में परिवर्तन होता है, तो यह निम्नलिखित में से किसका संकेत देता है?","context":null,"contextHi":null,"options":[{"key":"a","text":"Variation in its mass","textHi":"उसके द्रव्यमान में परिवर्तन","imageUrl":null},{"key":"b","text":"Change in its state of motion","textHi":"उसकी गति की अवस्था में परिवर्तन","imageUrl":null},{"key":"c","text":"Alteration in its shape","textHi":"उसके आकार में परिवर्तन","imageUrl":null},{"key":"d","text":"Modification in its temperature","textHi":"उसके तापमान में परिवर्तन","imageUrl":null}],"correct":"b","sol":"State of motion\nThe state of motion of a body is described by its velocity, and velocity has two parts — a magnitude, which is the speed, and a direction.\nSo if the speed changes, or the direction changes, or both change, the velocity has changed; that is exactly what is meant by a change in the state of motion.\nNewton's first law says a body keeps its state of motion until an unbalanced external force acts on it, so such a change is the signal that a net force is acting.\nMass, shape and temperature are separate physical properties and none of them is what alters when the speed or the direction of a moving body changes.","solHi":"गति की अवस्था\nकिसी वस्तु की गति की अवस्था उसके वेग से व्यक्त होती है, और वेग के दो अंग हैं — परिमाण, जो चाल है, तथा दिशा।\nअतः यदि चाल बदले, या दिशा बदले, या दोनों बदलें, तो वेग बदल जाता है; और यही 'गति की अवस्था में परिवर्तन' कहलाता है।\nन्यूटन का प्रथम नियम कहता है कि कोई वस्तु तब तक अपनी गति की अवस्था बनाए रखती है जब तक उस पर कोई असंतुलित बाह्य बल न लगे, इसलिए ऐसा परिवर्तन नेट बल के लगने का संकेत है।\nद्रव्यमान, आकार और तापमान पृथक भौतिक गुण हैं और गतिशील वस्तु की चाल या दिशा बदलने पर इनमें से कोई नहीं बदलता। इसलिए सही विकल्प (b) है।","pos":2,"neg":0.5},{"id":11088,"n":88,"subject":"General Awareness","stem":"India's first full-stack 25 -qubit quantum computer was developed by which startup?","stemHi":"भारत का पहला फुल-स्टैक 25-क्यूबिट क्वांटम कंप्यूटर किस स्टार्टअप द्वारा विकसित किया गया था?","context":null,"contextHi":null,"options":[{"key":"a","text":"Quantech Innovations","textHi":null,"imageUrl":null},{"key":"b","text":"QpiAl","textHi":null,"imageUrl":null},{"key":"c","text":"Photonix Labs","textHi":null,"imageUrl":null},{"key":"d","text":"Qubit Solutions","textHi":null,"imageUrl":null}],"correct":"b","sol":"Quantum computing in India\nQpiAI, a Bengaluru deep-tech start-up founded in 2019 by Nagendra Nagaraja, built QpiAI-Indus, India's first full-stack 25-qubit superconducting quantum computer, unveiled in April 2025.\n'Full stack' means the company made the whole chain itself — the qubit chip, the cryogenic system that cools it to near absolute zero, the control electronics and the software on top.\nThe machine was developed under the National Quantum Mission, approved in 2023, which funds quantum computing, communication, sensing and materials.\nThe remaining three names are not quantum-computing companies at all.","solHi":"भारत में क्वांटम कंप्यूटिंग\nQpiAI, बेंगलुरु स्थित एक डीप-टेक स्टार्टअप, जिसकी स्थापना 2019 में Nagendra Nagaraja ने की थी, ने QpiAI-Indus बनाया — भारत का पहला फुल-स्टैक 25-क्यूबिट सुपरकंडक्टिंग क्वांटम कंप्यूटर, जिसे अप्रैल 2025 में प्रस्तुत किया गया।\n'फुल-स्टैक' का अर्थ है कि कंपनी ने पूरी शृंखला स्वयं बनाई — क्यूबिट चिप, उसे परम शून्य के निकट ठंडा करने वाला क्रायोजेनिक तंत्र, नियंत्रण इलेक्ट्रॉनिकी तथा उस पर चलने वाला सॉफ्टवेयर।\nयह मशीन राष्ट्रीय क्वांटम मिशन (National Quantum Mission) के अंतर्गत विकसित हुई, जिसे 2023 में स्वीकृति मिली थी और जो क्वांटम कंप्यूटिंग, संचार, संवेदन एवं पदार्थ-विज्ञान को वित्तपोषित करता है।\nशेष तीन नाम क्वांटम कंप्यूटिंग की कंपनियाँ हैं ही नहीं। इसलिए सही विकल्प (b) है।","pos":2,"neg":0.5},{"id":11089,"n":89,"subject":"General Awareness","stem":"In the late 1980s, to manage the economic crisis, India approached which institution, also known as the International Bank for Reconstruction and Development?","stemHi":"1980 के दशक के अंत में, आर्थिक संकट से निपटने के लिए भारत ने किस संस्था से संपर्क किया था, जिसे अंतर्राष्ट्रीय पुनर्निर्माण एवं विकास बैंक के रूप में भी जाना जाता है?","context":null,"contextHi":null,"options":[{"key":"a","text":"Asian Development Bank","textHi":"एशियाई विकास बैंक","imageUrl":null},{"key":"b","text":"International Monetary Fund","textHi":"अंतर्राष्ट्रीय मुद्रा कोष","imageUrl":null},{"key":"c","text":"World Bank","textHi":"विश्व बैंक","imageUrl":null},{"key":"d","text":"New Development Bank","textHi":"न्यू डेवलपमेंट बैंक","imageUrl":null}],"correct":"c","sol":"World Bank and IBRD\nThe International Bank for Reconstruction and Development (IBRD) is the original and main lending arm of the World Bank Group, created at the Bretton Woods Conference of 1944.\nIt was set up to rebuild war-damaged Europe and now gives long-term loans to middle-income and creditworthy low-income countries.\nFacing a widening balance-of-payments crisis at the end of the 1980s, India turned to the World Bank (IBRD) for development loans and to the IMF for balance-of-payments support.\nThe conditions attached to that assistance led to the New Economic Policy of 1991 — liberalisation, privatisation and globalisation.\nThe IMF is a separate Bretton Woods institution and does not carry the IBRD name; the ADB (1966) is a regional bank and the NDB (2014) is the BRICS bank.","solHi":"विश्व बैंक और IBRD\nअंतर्राष्ट्रीय पुनर्निर्माण एवं विकास बैंक (IBRD) विश्व बैंक समूह की मूल एवं प्रमुख ऋणदात्री संस्था है, जिसकी स्थापना 1944 के ब्रेटन वुड्स सम्मेलन में हुई थी।\nइसकी स्थापना युद्ध से क्षतिग्रस्त यूरोप के पुनर्निर्माण के लिए हुई थी और अब यह मध्यम-आय तथा साख-योग्य निम्न-आय वाले देशों को दीर्घकालिक ऋण देता है।\n1980 के दशक के अंत में बढ़ते भुगतान-संतुलन संकट का सामना करते हुए भारत ने विकास ऋणों के लिए विश्व बैंक (IBRD) से तथा भुगतान-संतुलन सहायता के लिए IMF से संपर्क किया।\nइस सहायता के साथ जुड़ी शर्तों ने 1991 की नई आर्थिक नीति — उदारीकरण, निजीकरण एवं वैश्वीकरण — को जन्म दिया।\nIMF एक अलग ब्रेटन वुड्स संस्था है और वह IBRD नाम से नहीं जानी जाती; ADB (1966) एक क्षेत्रीय बैंक है तथा NDB (2014) ब्रिक्स का बैंक है। इसलिए सही विकल्प (c) है।","pos":2,"neg":0.5},{"id":11090,"n":90,"subject":"General Awareness","stem":"As of July 2025, which central public sector enterprise has been granted the prestigious "Navratna" status?","stemHi":"जुलाई 2025 तक, किस केंद्रीय सार्वजनिक क्षेत्र के उद्यम को प्रतिष्ठित "नवरत्न" का दर्जा प्रदान किया गया है?","context":null,"contextHi":null,"options":[{"key":"a","text":"Bharat Electronics Limited","textHi":"भारत इलेक्ट्रॉनिक्स लिमिटेड","imageUrl":null},{"key":"b","text":"Rashtriya Chemicals and Fertilizers Limited","textHi":"राष्ट्रीय केमिकल्स एंड फर्टिलाइजर्स लिमिटेड","imageUrl":null},{"key":"c","text":"Coal India Limited","textHi":"कोल इंडिया लिमिटेड","imageUrl":null},{"key":"d","text":"Oil India Limited","textHi":"ऑयल इंडिया लिमिटेड","imageUrl":null}],"correct":"b","sol":"Navratna CPSEs\nRashtriya Chemicals and Fertilizers Ltd (RCF) holds Navratna status, conferred on it by the Department of Public Enterprises.\nRCF is a Mumbai-based fertiliser and industrial-chemicals CPSE working under the Ministry of Chemicals and Fertilizers; Ujjwala and Suphala are its well-known brands.\nNavratna status lets a CPSE invest up to ₹1,000 crore, or 15% of its net worth in one project, without the government's prior approval.\nTo qualify, a company must already be a Miniratna Category-I with Schedule 'A' status and score at least 60 out of 100 on parameters such as net profit, net worth, manpower cost and earnings per share.\nCoal India and Oil India are ruled out because both hold the higher Maharatna status.","solHi":"नवरत्न सार्वजनिक उपक्रम\nराष्ट्रीय केमिकल्स एंड फर्टिलाइजर्स लिमिटेड (RCF) को नवरत्न का दर्जा प्राप्त है, जो उसे लोक उद्यम विभाग (DPE) द्वारा प्रदान किया गया है।\nRCF मुंबई स्थित उर्वरक एवं औद्योगिक रसायन का केंद्रीय सार्वजनिक उपक्रम है, जो रसायन एवं उर्वरक मंत्रालय के अधीन कार्य करता है; उज्ज्वला और सुफला इसके प्रसिद्ध ब्रांड हैं।\nनवरत्न दर्जा किसी उपक्रम को यह स्वतंत्रता देता है कि वह सरकार की पूर्व स्वीकृति के बिना एक परियोजना में ₹1,000 करोड़ तक, अथवा अपनी निवल संपत्ति का 15% तक, निवेश कर सके।\nपात्रता के लिए कंपनी का पहले से मिनीरत्न श्रेणी-I तथा अनुसूची 'A' का होना आवश्यक है और शुद्ध लाभ, निवल संपत्ति, जनशक्ति लागत एवं प्रति शेयर आय जैसे मानकों पर 100 में से कम-से-कम 60 अंक प्राप्त करने होते हैं।\nकोल इंडिया और ऑयल इंडिया इसलिए बाहर हो जाते हैं क्योंकि दोनों को इससे ऊँचा महारत्न दर्जा प्राप्त है। इसलिए सही विकल्प (b) है।","pos":2,"neg":0.5},{"id":11091,"n":91,"subject":"General Awareness","stem":"The Khalsa was formally established in the year 1699 by which Sikh Guru ?","stemHi":"खालसा की औपचारिक स्थापना वर्ष 1699 में किस सिख गुरु द्वारा की गई थी?","context":null,"contextHi":null,"options":[{"key":"a","text":"Guru Angad Dev","textHi":"गुरु अंगद देव","imageUrl":null},{"key":"b","text":"Guru Amar Das","textHi":"गुरु अमर दास","imageUrl":null},{"key":"c","text":"Guru Har Rai","textHi":"गुरु हर राय","imageUrl":null},{"key":"d","text":"Guru Gobind Singh","textHi":"गुरु गोबिंद सिंह","imageUrl":null}],"correct":"d","sol":"Founding of the Khalsa\nGuru Gobind Singh, the tenth and last human Sikh Guru, founded the Khalsa on Baisakhi day in 1699 at Anandpur Sahib.\nHe asked the gathering for volunteers ready to give their heads; the five who came forward were initiated with amrit (khande-di-pahul) as the Panj Pyare, and the Guru then took initiation from them in turn.\nMembers of the Khalsa took the surname Singh or Kaur and kept the five K's — kesh, kangha, kara, kachera and kirpan — turning the Sikh community into a disciplined and egalitarian order.\nGuru Angad Dev popularised the Gurmukhi script, Guru Amar Das institutionalised the langar and the Manji system, and Guru Har Rai was the seventh Guru — none of them founded the Khalsa.","solHi":"खालसा की स्थापना\nगुरु गोबिंद सिंह, दसवें और अंतिम मानव सिख गुरु, ने 1699 में बैसाखी के दिन आनंदपुर साहिब में खालसा की स्थापना की।\nउन्होंने सभा से ऐसे स्वयंसेवक माँगे जो अपना शीश देने को तैयार हों; जो पाँच आगे आए उन्हें अमृत (खंडे-दी-पाहुल) देकर पंज प्यारे के रूप में दीक्षित किया गया, और फिर स्वयं गुरु ने उनसे दीक्षा ली।\nखालसा के सदस्यों ने 'सिंह' या 'कौर' उपनाम धारण किया और पाँच ककार — केश, कंघा, कड़ा, कच्छा तथा कृपाण — धारण किए, जिससे सिख समुदाय एक अनुशासित एवं समतामूलक पंथ बन गया।\nगुरु अंगद देव ने गुरुमुखी लिपि को प्रचलित किया, गुरु अमर दास ने लंगर तथा मंजी व्यवस्था को संस्थागत रूप दिया और गुरु हर राय सातवें गुरु थे — इनमें से किसी ने खालसा की स्थापना नहीं की। इसलिए सही विकल्प (d) है।","pos":2,"neg":0.5},{"id":11092,"n":92,"subject":"General Awareness","stem":"Which slogan is historically associated with the Indian nationalist leader Bal Gangadhar Tilak ?","stemHi":"कौन-सा नारा ऐतिहासिक रूप से भारतीय राष्ट्रवादी नेता बाल गंगाधर तिलक से संबद्ध है?","context":null,"contextHi":null,"options":[{"key":"a","text":""Inquilab Zindabad"","textHi":""इंकलाब जिंदाबाद"","imageUrl":null},{"key":"b","text":""Do or Die"","textHi":""करो या मरो"","imageUrl":null},{"key":"c","text":""Freedom is my birthright and I shall have it!"","textHi":""स्वतंत्रता मेरा जन्मसिद्ध अधिकार है और मैं इसे लेकर रहूँगा!"","imageUrl":null},{"key":"d","text":""Vande Mataram"","textHi":""वंदे मातरम्"","imageUrl":null}],"correct":"c","sol":"Slogans of the freedom struggle\n'Freedom (Swaraj) is my birthright and I shall have it!' is the declaration of Bal Gangadhar Tilak, made while he was defending the demand for self-rule.\nTilak, called Lokmanya, led the extremist wing of the Congress along with Lala Lajpat Rai and Bipin Chandra Pal — the trio known as Lal-Bal-Pal.\nHe started the Ganapati and Shivaji festivals and the papers Kesari and Maratha to carry the national idea to ordinary people.\n $\"figure\"/$ \nThe other three slogans belong to different figures, as the table shows.","solHi":"स्वतंत्रता संग्राम के नारे\n'स्वतंत्रता (स्वराज्य) मेरा जन्मसिद्ध अधिकार है और मैं इसे लेकर रहूँगा!' — यह घोषणा बाल गंगाधर तिलक की है, जो उन्होंने स्वशासन की माँग के समर्थन में की थी।\nलोकमान्य कहे जाने वाले तिलक ने लाला लाजपत राय तथा बिपिन चंद्र पाल के साथ कांग्रेस के गरम दल का नेतृत्व किया — यह त्रयी 'लाल-बाल-पाल' के नाम से प्रसिद्ध हुई।\nउन्होंने गणपति एवं शिवाजी उत्सव तथा 'केसरी' और 'मराठा' समाचार-पत्र आरंभ किए ताकि राष्ट्रीय विचार सामान्य जन तक पहुँचे।\n $\"figure\"/$ \nशेष तीन नारे भिन्न व्यक्तियों से संबंधित हैं, जैसा तालिका में दिखाया गया है। इसलिए सही विकल्प (c) है।","pos":2,"neg":0.5},{"id":11093,"n":93,"subject":"General Awareness","stem":"Who has the constitutional authority to dissolve the House of the People (Lok Sabha) before the completion of its term?","stemHi":"जनता के सदन (लोकसभा) को उसका कार्यकाल पूरा होने से पहले भंग करने का संवैधानिक अधिकार किसे प्राप्त है?","context":null,"contextHi":null,"options":[{"key":"a","text":"The Election Commission of India","textHi":"भारत का निर्वाचन आयोग","imageUrl":null},{"key":"b","text":"The Vice President of India","textHi":"भारत के उपराष्ट्रपति","imageUrl":null},{"key":"c","text":"The Chief Minister of India","textHi":"भारत के मुख्यमंत्री","imageUrl":null},{"key":"d","text":"The President acting on the advice of the Prime Minister","textHi":"प्रधानमंत्री की सलाह पर कार्य करने वाले राष्ट्रपति","imageUrl":null}],"correct":"d","sol":"Dissolution of the Lok Sabha\nThe Lok Sabha normally runs for five years from the date of its first sitting, but it may be dissolved earlier.\nArticle 85(2)(b) of the Constitution vests the power of dissolution in the President of India.\nArticle 74 requires the President to act on the aid and advice of the Council of Ministers headed by the Prime Minister, so in practice the House is dissolved when the Prime Minister advises it.\nThe Election Commission only conducts the elections that follow; the Vice-President is the ex-officio Chairman of the Rajya Sabha; and there is no office called 'Chief Minister of India'.","solHi":"लोकसभा का विघटन\nलोकसभा का कार्यकाल सामान्यतः उसकी प्रथम बैठक की तिथि से पाँच वर्ष का होता है, किंतु उसे इससे पहले भी भंग किया जा सकता है।\nसंविधान का अनुच्छेद 85(2)(b) विघटन की शक्ति भारत के राष्ट्रपति में निहित करता है।\nअनुच्छेद 74 के अनुसार राष्ट्रपति प्रधानमंत्री की अध्यक्षता वाली मंत्रिपरिषद की सहायता एवं सलाह पर कार्य करते हैं, अतः व्यवहार में सदन तभी भंग होता है जब प्रधानमंत्री ऐसी सलाह दें।\nनिर्वाचन आयोग केवल उसके बाद होने वाले चुनाव कराता है; उपराष्ट्रपति राज्यसभा के पदेन सभापति होते हैं; और 'भारत का मुख्यमंत्री' नाम का कोई पद ही नहीं है। इसलिए सही विकल्प (d) है।","pos":2,"neg":0.5},{"id":11094,"n":94,"subject":"General Awareness","stem":"Which of the following crops is not typically grown under dryland farming conditions?","stemHi":"निम्नलिखित में से कौन-सी फसल सामान्यतः शुष्क भूमि कृषि की परिस्थितियों में नहीं उगाई जाती है?","context":null,"contextHi":null,"options":[{"key":"a","text":"Sorghum (Jowar)","textHi":"ज्वार (Sorghum)","imageUrl":null},{"key":"b","text":"Pearl millet","textHi":"बाजरा","imageUrl":null},{"key":"c","text":"Jute","textHi":"जूट","imageUrl":null},{"key":"d","text":"Finger millet","textHi":"रागी (फिंगर मिलेट)","imageUrl":null}],"correct":"c","sol":"Dryland farming crops\nDryland (rainfed) farming is practised where the annual rainfall is below about 750 mm and there is no assured irrigation.\nSuch land can carry only drought-hardy, short-duration crops — jowar (sorghum), bajra (pearl millet), ragi (finger millet), pulses and oilseeds — so options (a), (b) and (d) all fit.\nJute is the exception: it needs 120-150 cm of rainfall, high humidity and standing water for retting the stems.\nThat is why jute is grown in the Ganga-Brahmaputra delta — West Bengal, Assam and Bihar — and not on dry land.","solHi":"शुष्क भूमि कृषि की फसलें\nशुष्क भूमि कृषि (वर्षा-आधारित खेती) वहाँ की जाती है जहाँ वार्षिक वर्षा लगभग 750 मिमी से कम हो और सिंचाई की सुनिश्चित सुविधा न हो।\nऐसी भूमि पर केवल सूखा-सहिष्णु एवं अल्पावधि फसलें ही हो सकती हैं — ज्वार, बाजरा, रागी, दलहन तथा तिलहन — अतः विकल्प (a), (b) और (d) इसमें आते हैं।\nजूट अपवाद है: इसे 120-150 सेमी वर्षा, उच्च आर्द्रता तथा तनों के सड़ाने (रेटिंग) के लिए ठहरे हुए जल की आवश्यकता होती है।\nइसीलिए जूट गंगा-ब्रह्मपुत्र डेल्टा — पश्चिम बंगाल, असम और बिहार — में उगाया जाता है, शुष्क भूमि पर नहीं। इसलिए सही विकल्प (c) है।","pos":2,"neg":0.5},{"id":11095,"n":95,"subject":"General Awareness","stem":"What was the primary objective of land reform measures introduced in India after Independence?","stemHi":"स्वतंत्रता के बाद भारत में लागू किए गए भूमि सुधार उपायों का प्राथमिक उद्देश्य क्या था?","context":null,"contextHi":null,"options":[{"key":"a","text":"To bring changes in the ownership and distribution of landholdings","textHi":"भू-जोतों के स्वामित्व और वितरण में परिवर्तन लाना","imageUrl":null},{"key":"b","text":"To promote rapid urban development","textHi":"तीव्र शहरी विकास को बढ़ावा देना","imageUrl":null},{"key":"c","text":"To encourage foreign investment in the agricultural sector","textHi":"कृषि क्षेत्र में विदेशी निवेश को प्रोत्साहित करना","imageUrl":null},{"key":"d","text":"To transfer agricultural land entirely to private corporations","textHi":"कृषि भूमि को पूर्णतः निजी कंपनियों को हस्तांतरित करना","imageUrl":null}],"correct":"a","sol":"Land reforms in India\nAt Independence India inherited the zamindari system, a heavy concentration of land in few hands and tenants with no security.\nLand reform therefore attacked the landholding structure itself — abolition of intermediaries, security of tenure and fair rent for tenants, ceilings on holdings with the surplus redistributed, and consolidation of scattered plots.\nThe purpose was both social justice, expressed in the slogan 'land to the tiller', and higher output, since an owner-cultivator invests far more in his field.\nUrban growth, foreign investment and corporate ownership of farmland were never the aim; ceiling laws in fact restricted large holdings.","solHi":"भारत में भूमि सुधार\nस्वतंत्रता के समय भारत को ज़मींदारी प्रथा, कुछ ही हाथों में भूमि का भारी संकेंद्रण तथा असुरक्षित काश्तकार विरासत में मिले थे।\nअतः भूमि सुधारों ने भू-धारण की संरचना पर ही प्रहार किया — बिचौलियों की समाप्ति, काश्तकारों को कार्यकाल की सुरक्षा एवं उचित लगान, जोत की उच्चतम सीमा तथा अधिशेष भूमि का पुनर्वितरण, और बिखरी जोतों की चकबंदी।\nइसका उद्देश्य सामाजिक न्याय भी था, जो 'जोतने वाले को जमीन' के नारे में व्यक्त हुआ, और उत्पादन-वृद्धि भी, क्योंकि स्वामी-कृषक अपने खेत में कहीं अधिक निवेश करता है।\nशहरी विकास, विदेशी निवेश अथवा कृषि भूमि का कंपनियों को हस्तांतरण कभी उद्देश्य नहीं रहा; सीमा-कानूनों ने तो बड़ी जोतों पर रोक ही लगाई। इसलिए सही विकल्प (a) है।","pos":2,"neg":0.5},{"id":11096,"n":96,"subject":"General Awareness","stem":"In which financial year was Child Budgeting introduced for the first time by the Government of India?","stemHi":"भारत सरकार द्वारा पहली बार किस वित्तीय वर्ष में बाल बजटिंग (Child Budgeting) प्रारंभ की गई थी?","context":null,"contextHi":null,"options":[{"key":"a","text":"2008-09","textHi":null,"imageUrl":null},{"key":"b","text":"2005-06","textHi":null,"imageUrl":null},{"key":"c","text":"2010-11","textHi":null,"imageUrl":null},{"key":"d","text":"2016-17","textHi":null,"imageUrl":null}],"correct":"a","sol":"Child Budgeting\nChild Budgeting is the practice of tracking, across all ministries, how much of the Union Budget is actually spent on children, that is on persons below 18 years.\nIt was introduced for the first time in the Budget of 2008-09, when a separate statement on child-related schemes was placed in the Expenditure Budget.\nThe spending is grouped under four heads — child education, child health, child development and child protection — and is coordinated by the Ministry of Women and Child Development.\nIt follows the earlier model of Gender Budgeting, whose statement was introduced in 2005-06, which is why that year is the tempting wrong choice here.","solHi":"बाल बजटिंग\nबाल बजटिंग वह पद्धति है जिसमें सभी मंत्रालयों में यह देखा जाता है कि केंद्रीय बजट का कितना भाग वास्तव में बच्चों पर, अर्थात 18 वर्ष से कम आयु के व्यक्तियों पर, व्यय होता है।\nइसे पहली बार 2008-09 के बजट में आरंभ किया गया, जब व्यय बजट में बाल-संबंधी योजनाओं का पृथक विवरण प्रस्तुत किया गया।\nयह व्यय चार शीर्षों में विभाजित किया जाता है — बाल शिक्षा, बाल स्वास्थ्य, बाल विकास तथा बाल संरक्षण — और इसका समन्वय महिला एवं बाल विकास मंत्रालय करता है।\nयह पहले से चली आ रही जेंडर बजटिंग के प्रतिरूप पर आधारित है, जिसका विवरण 2005-06 में आरंभ हुआ था; इसी कारण वह वर्ष यहाँ आकर्षक किंतु गलत विकल्प है। इसलिए सही विकल्प (a) है।","pos":2,"neg":0.5},{"id":11097,"n":97,"subject":"General Awareness","stem":"Which type of deficit accounts exclusively for transactions related to the government's current income and current expenditure?","stemHi":"कौन-सा घाटा विशेष रूप से सरकार की चालू आय और चालू व्यय से संबंधित लेन-देन का ही लेखा रखता है?","context":null,"contextHi":null,"options":[{"key":"a","text":"Budgetary deficit","textHi":"बजटीय घाटा","imageUrl":null},{"key":"b","text":"Revenue deficit","textHi":"राजस्व घाटा","imageUrl":null},{"key":"c","text":"Capital deficit","textHi":"पूंजीगत घाटा","imageUrl":null},{"key":"d","text":"Primary deficit","textHi":"प्राथमिक घाटा","imageUrl":null}],"correct":"b","sol":"Types of budget deficit\nRevenue receipts (taxes, interest, dividends) and revenue expenditure (salaries, subsidies, interest payments) form the government's current account — they neither create assets nor reduce liabilities.\nThe gap between the two is the revenue deficit:

Revenue deficit = Revenue expenditure - Revenue receipts

.\nIt is the only deficit confined to current income and current expenditure, and it warns that the government is borrowing merely to meet its running costs.\n $\"figure\"/$ \n'Capital deficit' is not a term used in the Indian budget at all.","solHi":"बजट घाटे के प्रकार\nराजस्व प्राप्तियाँ (कर, ब्याज, लाभांश) तथा राजस्व व्यय (वेतन, सब्सिडी, ब्याज भुगतान) मिलकर सरकार का चालू खाता बनाते हैं — ये न तो परिसंपत्ति सृजित करते हैं और न देयता घटाते हैं।\nइन दोनों का अंतर ही राजस्व घाटा है:

Revenue deficit = Revenue expenditure - Revenue receipts

।\nयही एकमात्र घाटा है जो चालू आय और चालू व्यय तक सीमित है, और यह चेतावनी देता है कि सरकार केवल अपने दैनंदिन खर्च चलाने के लिए उधार ले रही है।\n $\"figure\"/$ \n'पूंजीगत घाटा' भारतीय बजट में प्रयुक्त होने वाला पद है ही नहीं। इसलिए सही विकल्प (b) है।","pos":2,"neg":0.5},{"id":11098,"n":98,"subject":"General Awareness","stem":"When air enters the human respiratory system, how is it filtered at the initial stage?","stemHi":"जब वायु मानव श्वसन तंत्र में प्रवेश करती है, तो प्रारंभिक चरण में उसका निस्पंदन (छनन) किस प्रकार होता है?","context":null,"contextHi":null,"options":[{"key":"a","text":"By fine hairs present in the nostrils","textHi":"नासाछिद्रों में उपस्थित महीन बालों द्वारा","imageUrl":null},{"key":"b","text":"By the alveoli of the lungs","textHi":"फेफड़ों की वायुकोष्ठिकाओं (एल्विओलाई) द्वारा","imageUrl":null},{"key":"c","text":"By the epiglottis","textHi":"एपिग्लॉटिस द्वारा","imageUrl":null},{"key":"d","text":"By the tracheal cartilage rings","textHi":"श्वासनली के उपास्थि वलयों द्वारा","imageUrl":null}],"correct":"a","sol":"Human respiratory system\nAir enters the body through the nostrils, and the first cleaning it gets is from the fine hairs (vibrissae) that line them, which hold back dust and other large particles.\nDeeper in, the nasal passage is lined with mucus and cilia that trap finer particles and microbes and also warm and moisten the air before it reaches the lungs.\n $\"figure\"/$ \nThe other three structures act later or do other work, so none of them is the initial filter.","solHi":"मानव श्वसन तंत्र\nवायु नासाछिद्रों से शरीर में प्रवेश करती है और सबसे पहले वहाँ लगे महीन बाल (वाइब्रिसी) उसे साफ करते हैं, जो धूल तथा अन्य बड़े कणों को रोक लेते हैं।\nइसके आगे नासा-मार्ग श्लेष्मा और पक्ष्माभ (सिलिया) से आस्तरित होता है, जो सूक्ष्म कणों एवं रोगाणुओं को फँसा लेते हैं तथा फेफड़ों तक पहुँचने से पहले वायु को गर्म एवं नम भी कर देते हैं।\n $\"figure\"/$ \nशेष तीनों संरचनाएँ या तो बाद में कार्य करती हैं या कोई अन्य कार्य करती हैं, अतः इनमें से कोई भी प्रारंभिक छननी नहीं है। इसलिए सही विकल्प (a) है।","pos":2,"neg":0.5},{"id":11099,"n":99,"subject":"General Awareness","stem":"With reference to the phloem in plants, consider the following statements:\nI. The movement of food through phloem requires energy.\nII. Substances are loaded into the phloem using ATP.\nWhich of the statements given above is/are correct?","stemHi":"पादपों में फ्लोएम के संदर्भ में, निम्नलिखित कथनों पर विचार कीजिए:\nI. फ्लोएम के माध्यम से भोजन की गति के लिए ऊर्जा की आवश्यकता होती है।\nII. पदार्थों को ATP का उपयोग करके फ्लोएम में लोड किया जाता है।\nउपर्युक्त कथनों में से कौन-सा/से सही है/हैं?","context":null,"contextHi":null,"options":[{"key":"a","text":"Statement I only","textHi":"केवल कथन I","imageUrl":null},{"key":"b","text":"Statement II only","textHi":"केवल कथन II","imageUrl":null},{"key":"c","text":"Both I and II","textHi":"I और II दोनों","imageUrl":null},{"key":"d","text":"Neither statement is correct","textHi":"कोई भी कथन सही नहीं है","imageUrl":null}],"correct":"c","sol":"Translocation in phloem\nTranslocation, the transport of food through the phloem, is an active process — unlike water in the xylem, which is pulled up passively by transpiration.\nAt the source, usually a leaf, sugars are loaded into the sieve tubes against a concentration gradient, and the energy for this loading comes from ATP, so Statement II is correct.\nThe loading raises the solute concentration in the sieve tube, water therefore moves in from the neighbouring xylem, and the pressure that builds up pushes the sap towards the sink — root, fruit or growing tissue.\nSince the whole movement depends on that energy-driven step, Statement I is correct as well, and both statements together describe the process.\nThis is why food can travel in phloem in either direction, upward or downward, while water in xylem moves only upward.","solHi":"फ्लोएम में स्थानांतरण\nस्थानांतरण, अर्थात फ्लोएम द्वारा भोजन का परिवहन, एक सक्रिय प्रक्रिया है — जबकि जाइलम में जल वाष्पोत्सर्जन खिंचाव से निष्क्रिय रूप से ऊपर चढ़ता है।\nस्रोत पर, जो प्रायः पत्ती होती है, शर्कराएँ सांद्रता प्रवणता के विरुद्ध चालनी नलिकाओं में लोड की जाती हैं और इस लोडिंग की ऊर्जा ATP से मिलती है, अतः कथन II सही है।\nलोडिंग से चालनी नलिका में विलेय की सांद्रता बढ़ जाती है, इसलिए निकटवर्ती जाइलम से जल भीतर आता है और उत्पन्न दाब रस को सिंक — जड़, फल या वर्धनशील ऊतक — की ओर धकेलता है।\nचूँकि सारी गति उसी ऊर्जा-आधारित चरण पर निर्भर है, कथन I भी सही है, और दोनों कथन मिलकर इस प्रक्रिया का सही वर्णन करते हैं।\nयही कारण है कि फ्लोएम में भोजन ऊपर या नीचे, दोनों दिशाओं में चल सकता है, जबकि जाइलम में जल केवल ऊपर की ओर जाता है। इसलिए सही विकल्प (c) है।","pos":2,"neg":0.5},{"id":11100,"n":100,"subject":"General Awareness","stem":"In Jaina ethical philosophy, what does the vow of aparigraha signify?","stemHi":"जैन नैतिक दर्शन में, अपरिग्रह के व्रत का क्या अभिप्राय है?","context":null,"contextHi":null,"options":[{"key":"a","text":"Observing extreme fasting","textHi":"अत्यधिक उपवास करना","imageUrl":null},{"key":"b","text":"Avoiding the act of stealing","textHi":"चोरी के कृत्य से बचना","imageUrl":null},{"key":"c","text":"Practising absolute truthfulness","textHi":"पूर्ण सत्यनिष्ठा का पालन करना","imageUrl":null},{"key":"d","text":"non-possession of things more than one's requirement","textHi":"अपनी आवश्यकता से अधिक वस्तुओं का संग्रह न करना","imageUrl":null}],"correct":"d","sol":"Jaina philosophy: vows\nAparigraha means non-possession — keeping no more than one actually needs and giving up attachment to what one owns.\nIt is one of the five great vows (pancha mahavrata) of Jainism; Parshvanatha had taught four restraints and Mahavira added brahmacharya as the fifth.\n $\"figure\"/$ \nPossessions breed greed and attachment, which bind fresh karma to the soul, so limiting them is treated as a step towards liberation.\nThe other options name different things: extreme fasting is the separate practice of sallekhana, non-stealing is asteya and truthfulness is satya.","solHi":"जैन दर्शन: व्रत\nअपरिग्रह का अर्थ है असंग्रह — अपनी वास्तविक आवश्यकता से अधिक न रखना तथा जो है उसके प्रति आसक्ति का त्याग करना।\nयह जैन धर्म के पाँच महाव्रतों में से एक है; पार्श्वनाथ ने चार संयम बताए थे और महावीर ने पाँचवें के रूप में ब्रह्मचर्य जोड़ा।\n $\"figure\"/$ \nसंग्रह से लोभ और आसक्ति उपजते हैं, जो आत्मा से नए कर्म बाँधते हैं; अतः संग्रह को सीमित करना मोक्ष की ओर एक कदम माना जाता है।\nशेष विकल्प भिन्न बातें बताते हैं: अत्यधिक उपवास पृथक साधना सल्लेखना है, चोरी न करना अस्तेय है तथा सत्यनिष्ठा सत्य व्रत है। इसलिए सही विकल्प (d) है।","pos":2,"neg":0.5}],"test":{"slug":"ssc-chsl-tier-1--13-nov-2025-shift-3","title":"SSC CHSL Tier-1 13 November 2025 Shift-3 Previous Year Paper","examName":"CHSL Tier-1","paperLabel":"13 November 2025 · Shift 3","sectionSubject":null,"durationMinutes":60,"format":"full_test"}}]