27:I[81166,["/_next/static/immutable/chunks/2corl6wyj4669.js","/_next/static/immutable/chunks/38n271cv4vmyv.js","/_next/static/immutable/chunks/2pf73jja2520w.js"],"default"] 28:T434,Passive of a perfect infinitive In the frame 'X is believed to have + V3 + object', the voice change is carried out inside the infinitive, and the object of that inner verb becomes the new subject. The inner active idea here is 'the proposal influenced public opinion', so 'public opinion' takes the front position. The perfect infinitive 'to have influenced' becomes the passive perfect infinitive 'to have been influenced', and the old subject returns as 'by the proposal'.

The sentence therefore becomes 'Public opinion is believed to have been influenced significantly by the proposal.' Option (b) abandons the infinitive and builds a fresh 'It is believed that ...' clause instead of transforming the given structure, option (c) changes the tense to future perfect, and option (d) is ungrammatical. Hence option (a) is correct.29:T428,Directions (Qs. 18-22): Read the following passage carefully and answer the questions that follow. Forests are among the most valuable natural resources on Earth, supporting a wide variety of plant and animal life. They help regulate the climate by absorbing carbon dioxide, releasing oxygen, and influencing rainfall patterns. Many communities also depend on forests for food, shelter, and livelihoods. Tropical rainforests, in particular, are known for their extraordinary biodiversity. A single hectare can contain hundreds of different tree species, along with countless insects, birds, and mammals. These forests also play a key role in maintaining soil fertility and preventing erosion. Despite their importance, forests around the world are under severe threat due to deforestation, illegal logging, and expanding agriculture. Scientists and environmentalists warn that continued forest loss could lead to irreversible damage to ecosystems and worsen climate change. Protecting forests is therefore essential for environmental balance and human survival.2a:T428,Directions (Qs. 18-22): Read the following passage carefully and answer the questions that follow. Forests are among the most valuable natural resources on Earth, supporting a wide variety of plant and animal life. They help regulate the climate by absorbing carbon dioxide, releasing oxygen, and influencing rainfall patterns. Many communities also depend on forests for food, shelter, and livelihoods. Tropical rainforests, in particular, are known for their extraordinary biodiversity. A single hectare can contain hundreds of different tree species, along with countless insects, birds, and mammals. These forests also play a key role in maintaining soil fertility and preventing erosion. Despite their importance, forests around the world are under severe threat due to deforestation, illegal logging, and expanding agriculture. Scientists and environmentalists warn that continued forest loss could lead to irreversible damage to ecosystems and worsen climate change. Protecting forests is therefore essential for environmental balance and human survival.2b:T428,Directions (Qs. 18-22): Read the following passage carefully and answer the questions that follow. Forests are among the most valuable natural resources on Earth, supporting a wide variety of plant and animal life. They help regulate the climate by absorbing carbon dioxide, releasing oxygen, and influencing rainfall patterns. Many communities also depend on forests for food, shelter, and livelihoods. Tropical rainforests, in particular, are known for their extraordinary biodiversity. A single hectare can contain hundreds of different tree species, along with countless insects, birds, and mammals. These forests also play a key role in maintaining soil fertility and preventing erosion. Despite their importance, forests around the world are under severe threat due to deforestation, illegal logging, and expanding agriculture. Scientists and environmentalists warn that continued forest loss could lead to irreversible damage to ecosystems and worsen climate change. Protecting forests is therefore essential for environmental balance and human survival.2c:T428,Directions (Qs. 18-22): Read the following passage carefully and answer the questions that follow. Forests are among the most valuable natural resources on Earth, supporting a wide variety of plant and animal life. They help regulate the climate by absorbing carbon dioxide, releasing oxygen, and influencing rainfall patterns. Many communities also depend on forests for food, shelter, and livelihoods. Tropical rainforests, in particular, are known for their extraordinary biodiversity. A single hectare can contain hundreds of different tree species, along with countless insects, birds, and mammals. These forests also play a key role in maintaining soil fertility and preventing erosion. Despite their importance, forests around the world are under severe threat due to deforestation, illegal logging, and expanding agriculture. Scientists and environmentalists warn that continued forest loss could lead to irreversible damage to ecosystems and worsen climate change. Protecting forests is therefore essential for environmental balance and human survival.2d:T428,Directions (Qs. 18-22): Read the following passage carefully and answer the questions that follow. Forests are among the most valuable natural resources on Earth, supporting a wide variety of plant and animal life. They help regulate the climate by absorbing carbon dioxide, releasing oxygen, and influencing rainfall patterns. Many communities also depend on forests for food, shelter, and livelihoods. Tropical rainforests, in particular, are known for their extraordinary biodiversity. A single hectare can contain hundreds of different tree species, along with countless insects, birds, and mammals. These forests also play a key role in maintaining soil fertility and preventing erosion. Despite their importance, forests around the world are under severe threat due to deforestation, illegal logging, and expanding agriculture. Scientists and environmentalists warn that continued forest loss could lead to irreversible damage to ecosystems and worsen climate change. Protecting forests is therefore essential for environmental balance and human survival.2e:T707,Interchange of signs The given equation is

6 + 9 \times 2 - 3 \div 4 = 8

; test each option by swapping the two signs everywhere and then applying BODMAS. Interchanging - and

\div

turns the left side into

6 + 9 \times 2 \div 3 - 4

. Doing multiplication and division first:

9 \times 2 \div 3 = \frac{18}{3} = 6

. So the left side becomes 6+6-4=8, which is exactly the right-hand side. Hence the signs to be interchanged are - and

\div

— option (a). The other swaps fail: option (b) gives

6 - 9 \times 2 + 3 \div 4

, option (c) gives

6 \div 9 \times 2 - 3 + 4

and option (d) gives

6 + 9 \div 2 - 3 \times 4

, none of which equals 8.2f:T961,चिह्नों का परस्पर परिवर्तन दिया गया समीकरण

6 + 9 \times 2 - 3 \div 4 = 8

है; प्रत्येक विकल्प के दोनों चिह्नों को सर्वत्र बदलकर BODMAS लगाकर जाँचिए। - और

\div

को आपस में बदलने पर बायाँ पक्ष

6 + 9 \times 2 \div 3 - 4

हो जाता है। पहले गुणा और भाग करने पर:

9 \times 2 \div 3 = \frac{18}{3} = 6

। अतः बायाँ पक्ष 6+6-4=8 हो जाता है, जो ठीक दायाँ पक्ष है। इसलिए जिन चिह्नों को बदलना है वे - और

\div

हैं — विकल्प (a)। शेष विकल्प असफल रहते हैं: विकल्प (b) से

6 - 9 \times 2 + 3 \div 4

, विकल्प (c) से

6 \div 9 \times 2 - 3 + 4

तथा विकल्प (d) से

6 + 9 \div 2 - 3 \times 4

प्राप्त होता है, इनमें से कोई भी 8 के बराबर नहीं है।30:T7aa,Number analogy In 3:9:27 the second term is the square of the first and the third is its cube, since

3^{2} = 9

and

3^{3} = 27

. The second group obeys the same rule:

4^{2} = 16

and

4^{3} = 64

Testing the options,

7^{2} = 49

and

7^{3} = 343

, so 7:49:343 fits the pattern exactly. The others break it:

8^{3} = 512

not 48,

6^{3} = 216

not 648, and

2^{3} = 8

not 10. Hence the answer is option (d).31:T95d,संख्या सादृश्यता 3:9:27 में दूसरा पद पहले का वर्ग तथा तीसरा पद उसका घन है, क्योंकि

3^{2} = 9

और

3^{3} = 27

। दूसरा समूह भी यही नियम मानता है:

4^{2} = 16

तथा

4^{3} = 64

।

विकल्पों की जाँच करने पर

7^{2} = 49

और

7^{3} = 343

प्राप्त होता है, अतः 7:49:343 प्रतिरूप के ठीक अनुरूप है। शेष विकल्प नियम तोड़ते हैं:

8^{3} = 512

है, 48 नहीं;

6^{3} = 216

है, 648 नहीं; और

2^{3} = 8

है, 10 नहीं। अतः उत्तर विकल्प (d) है।32:T469,Turning and direction Count clockwise turns as positive and anti-clockwise turns as negative, then simply add them. Net turn

= - 45^{\circ} - 180^{\circ} + 225^{\circ} = - 225^{\circ} + 225^{\circ} = 0^{\circ}

A net turn of

0^{\circ}

brings him back to the direction he started from. He started facing east, so he is still facing east. Hence option (d) is correct.33:T641,घूर्णन और दिशा दक्षिणावर्त घूर्णन को धनात्मक और वामावर्त घूर्णन को ऋणात्मक मानकर उन्हें केवल जोड़ दीजिए। कुल घूर्णन

= - 45^{\circ} - 180^{\circ} + 225^{\circ} = - 225^{\circ} + 225^{\circ} = 0^{\circ}

0^{\circ}

का कुल घूर्णन उसे उसी दिशा में वापस ले आता है जहाँ से उसने आरंभ किया था। उसने पूर्व की ओर मुख करके आरंभ किया था, अतः अब भी उसका मुख पूर्व की ओर ही है। अतः सही विकल्प (d) है।34:T51c,Symbol substitution Replace each letter by the sign it stands for and then solve by BODMAS, doing division and multiplication from left to right before addition and subtraction. I becomes

35 + 3 - 28 \div 7 \times 4

= 35 + 3 - 4 \times 4 = 38 - 16 = 22

, which is exactly the value given. II becomes

13 + 47 - 36 \div 4 \times 5

= 60 - 9 \times 5 = 60 - 45 = 15

, which is also the value given.

Both equations therefore hold. Hence option (a) is correct.35:T6c9,चिह्न प्रतिस्थापन प्रत्येक अक्षर के स्थान पर उसका निर्दिष्ट चिह्न रखिए और फिर BODMAS के अनुसार हल कीजिए, जिसमें जोड़-घटाव से पहले भाग तथा गुणा बाएँ से दाएँ किए जाते हैं। I बन जाता है

35 + 3 - 28 \div 7 \times 4

= 35 + 3 - 4 \times 4 = 38 - 16 = 22

, जो दिए गए मान के ठीक बराबर है। II बन जाता है

13 + 47 - 36 \div 4 \times 5

= 60 - 9 \times 5 = 60 - 45 = 15

, जो भी दिया गया मान ही है।

अतः दोनों समीकरण सही हैं। अतः सही विकल्प (a) है।36:T59e,Product of conjugate surds The two brackets are conjugates, so use the identity

(a + b) (a - b) = a^{2} - b^{2}

. Here

a = \sqrt{3}

and

b = \sqrt{2}

(\sqrt{3} + \sqrt{2}) (\sqrt{3} - \sqrt{2}) = {(\sqrt{3})}^{2} - {(\sqrt{2})}^{2}

=3-2=1 Hence option (b) is correct.37:T65f,संयुग्मी करणियों का गुणनफल दोनों कोष्ठक संयुग्मी हैं, अतः सर्वसमिका

(a + b) (a - b) = a^{2} - b^{2}

का प्रयोग कीजिए। यहाँ

a = \sqrt{3}

तथा

b = \sqrt{2}

है।

(\sqrt{3} + \sqrt{2}) (\sqrt{3} - \sqrt{2}) = {(\sqrt{3})}^{2} - {(\sqrt{2})}^{2}

=3-2=1 अतः सही विकल्प (b) है।38:T775,Algebraic identity with surds Rather than squaring each surd, use

a^{2} + b^{2} = {(a + b)}^{2} - 2 a b

a + b = (2 + \sqrt{5}) + (2 - \sqrt{5}) = 4

a b = (2 + \sqrt{5}) (2 - \sqrt{5}) = 2^{2} - {(\sqrt{5})}^{2} = 4 - 5 = - 1

a^{2} + b^{2} = {(4)}^{2} - 2 \times (- 1)

=16+2=18 Hence option (d) is correct.39:T818,करणी सहित बीजीय सर्वसमिका प्रत्येक करणी का वर्ग करने के बजाय

a^{2} + b^{2} = {(a + b)}^{2} - 2 a b

का प्रयोग कीजिए।

a + b = (2 + \sqrt{5}) + (2 - \sqrt{5}) = 4

a b = (2 + \sqrt{5}) (2 - \sqrt{5}) = 2^{2} - {(\sqrt{5})}^{2} = 4 - 5 = - 1

a^{2} + b^{2} = {(4)}^{2} - 2 \times (- 1)

=16+2=18 अतः सही विकल्प (d) है।3a:T767,Equal SP profit and loss When two articles are sold at the SAME price, one at

x %

profit and the other at

x %

loss, the deal always ends in a loss of

\frac{x^{2}}{100} %

. Here x=25, so loss

= \frac{25^{2}}{100} = \frac{625}{100} = 6.25 %

. Verify it: cost of the first

= 800 \times \frac{100}{125} = 640

and cost of the second

= 800 \times \frac{100}{75} = 1066.67

Total cost =1706.67 against total sale =1600, so the loss is 106.67. Loss

% = \frac{106.67}{1706.67} \times 100 = 6.25 %

, a loss as expected. Hence option (a) is correct.3b:T956,समान विक्रय मूल्य: लाभ-हानि जब दो वस्तुएँ समान विक्रय मूल्य पर बेची जाती हैं, एक पर

x %

लाभ और दूसरी पर

x %

हानि हो, तो सौदे में सदैव

\frac{x^{2}}{100} %

की हानि होती है। यहाँ x=25 है, अतः हानि

= \frac{25^{2}}{100} = \frac{625}{100} = 6.25 %

। सत्यापन: पहली वस्तु का क्रय मूल्य

= 800 \times \frac{100}{125} = 640

तथा दूसरी का

= 800 \times \frac{100}{75} = 1066.67

।

कुल क्रय मूल्य =1706.67 और कुल विक्रय मूल्य =1600, अतः हानि =106.67। हानि

% = \frac{106.67}{1706.67} \times 100 = 6.25 %

, अर्थात् अपेक्षित हानि ही होती है। अतः सही विकल्प (a) है।3c:T4c2,Mixture and ratio In 64 L the juice : water ratio is 5:3, so juice

= \frac{5}{8} \times 64 = 40

L and water

= \frac{3}{8} \times 64 = 24

L. Only juice is poured in, so the quantity of water stays 24 L throughout.

Let x L of juice be added. Then

\frac{40 + x}{24} = \frac{7}{1}

40 + x = 7 \times 24 = 168

x=168-40=128 Hence option (d) is correct.3d:T5f2,मिश्रण और अनुपात 64 लीटर मिश्रण में जूस : पानी =5:3 है, अतः जूस

= \frac{5}{8} \times 64 = 40

लीटर तथा पानी

= \frac{3}{8} \times 64 = 24

लीटर। केवल जूस मिलाया जाता है, अतः पानी की मात्रा पूरे समय 24 लीटर ही रहती है।

माना कि x लीटर जूस मिलाया गया। तब

\frac{40 + x}{24} = \frac{7}{1}

।

40 + x = 7 \times 24 = 168

x=168-40=128 अतः सही विकल्प (d) है।3e:T57e,Cylinder and cone volume Volume of a cylinder

= π r^{2} h

. Volume of a cone with the same base radius and the same height

= \frac{1}{3} π r^{2} h

Required ratio

= π r^{2} h : \frac{1}{3} π r^{2} h

= 1 : \frac{1}{3} = 3 : 1

A cone is exactly one-third of the cylinder that just contains it, so the ratio never depends on the actual values of r and h. Hence option (b) is correct.3f:T6d1,बेलन तथा शंकु का आयतन बेलन का आयतन

= π r^{2} h

। समान आधार त्रिज्या तथा समान ऊँचाई वाले शंकु का आयतन

= \frac{1}{3} π r^{2} h

।

अभीष्ट अनुपात

= π r^{2} h : \frac{1}{3} π r^{2} h

= 1 : \frac{1}{3} = 3 : 1

शंकु उसी बेलन का ठीक एक-तिहाई होता है जिसमें वह समाता है, अतः यह अनुपात r तथा h के वास्तविक मानों पर निर्भर नहीं करता। अतः सही विकल्प (b) है।40:T4b2,Interior angles of polygon For any polygon of n sides, sum of the interior angles

= (n - 2) \times 180^{\circ}

. The reason: diagonals from one vertex cut the polygon into (n-2) triangles.

A hexagon has n=6, so the sum

= (6 - 2) \times 180^{\circ}

= 4 \times 180^{\circ} = 720^{\circ}

The circular junction around the hexagon does not affect its angles. Hence option (b) is correct.41:T665,बहुभुज के आंतरिक कोण किसी भी n भुजाओं वाले बहुभुज के आंतरिक कोणों का योग

= (n - 2) \times 180^{\circ}

होता है। कारण: एक ही शीर्ष से खींचे गए विकर्ण बहुभुज को (n-2) त्रिभुजों में बाँट देते हैं।

षट्भुज में n=6 है, अतः योग

= (6 - 2) \times 180^{\circ}

= 4 \times 180^{\circ} = 720^{\circ}

षट्भुज के चारों ओर बना वृत्ताकार जंक्शन उसके कोणों को प्रभावित नहीं करता। अतः सही विकल्प (b) है।42:T5d3,Regular octagon angle Sum of the interior angles of an n-sided polygon

= (n - 2) \times 180^{\circ}

. In a regular polygon all the angles are equal, so each angle

= \frac{(n - 2) \times 180^{\circ}}{n}

For an octagon n=8: each angle

= \frac{(8 - 2) \times 180^{\circ}}{8}

= \frac{1080^{\circ}}{8} = 135^{\circ}

Hence option (a) is correct.43:T6d3,सम अष्टभुज का कोण n भुजाओं वाले बहुभुज के आंतरिक कोणों का योग

= (n - 2) \times 180^{\circ}

होता है। सम बहुभुज में सभी कोण बराबर होते हैं, अतः प्रत्येक कोण

= \frac{(n - 2) \times 180^{\circ}}{n}

।

अष्टभुज में n=8: प्रत्येक कोण

= \frac{(8 - 2) \times 180^{\circ}}{8}

= \frac{1080^{\circ}}{8} = 135^{\circ}

अतः सही विकल्प (a) है।44:T5cc,Melting and recasting Volume of the cylinder

= π r^{2} h = π \times 4^{2} \times 21 = 336 π

cm³. Volume of one hemispherical ball

= \frac{2}{3} π r^{3} = \frac{2}{3} π \times 2^{3} = \frac{16 π}{3}

cm³.

Melting only reshapes the metal, so the total volume is unchanged. Number of balls

= \frac{336 π}{\frac{16 π}{3}} = \frac{336 \times 3}{16}

=63 Hence option (c) is correct.45:T6ad,पिघलाकर पुनः ढालना बेलन का आयतन

= π r^{2} h = π \times 4^{2} \times 21 = 336 π

सेमी³। एक अर्धगोलाकार गेंद का आयतन

= \frac{2}{3} π r^{3} = \frac{2}{3} π \times 2^{3} = \frac{16 π}{3}

सेमी³।

पिघलाने से केवल आकार बदलता है, कुल आयतन वही रहता है। गेंदों की संख्या

= \frac{336 π}{\frac{16 π}{3}} = \frac{336 \times 3}{16}

=63 अतः सही विकल्प (c) है।46:T537,Surface area of prism Check the base:

5^{2} + 12^{2} = 25 + 144 = 169 = 13^{2}

, so the triangle is right-angled with legs 5 cm and 12 cm.

Area of the top triangular face

= \frac{1}{2} \times 5 \times 12 = 30

cm² (the bottom face is not painted). Perimeter of the triangular base =5+12+13=30 cm. Area of the three rectangular faces = perimeter

\times

length

= 30 \times 10 = 300

cm². Total area to be painted =30+300=330 cm² Hence option (d) is correct.47:T722,प्रिज़्म का पृष्ठीय क्षेत्रफल आधार की जाँच:

5^{2} + 12^{2} = 25 + 144 = 169 = 13^{2}

, अतः त्रिभुज समकोण है जिसकी भुजाएँ 5 सेमी तथा 12 सेमी हैं।

ऊपरी त्रिभुजाकार फलक का क्षेत्रफल

= \frac{1}{2} \times 5 \times 12 = 30

सेमी² (निचला फलक नहीं रंगा जाता)। त्रिभुजाकार आधार का परिमाप =5+12+13=30 सेमी। तीनों आयताकार फलकों का क्षेत्रफल = परिमाप

\times

लंबाई

= 30 \times 10 = 300

सेमी²। रंगे जाने वाला कुल क्षेत्रफल =30+300=330 सेमी² अतः सही विकल्प (d) है।48:T4b2,Volume of hemisphere Volume of a hemisphere

= \frac{2}{3} π r^{3}

\frac{2}{3} π r^{3} = 144 π

r^{3} = \frac{144 \times 3}{2} = 216

r = \sqrt[3]{216} = 6

So the radius of the tank is 6 m. Hence option (a) is correct.49:T528,अर्धगोले का आयतन अर्धगोले का आयतन

= \frac{2}{3} π r^{3}

।

\frac{2}{3} π r^{3} = 144 π

r^{3} = \frac{144 \times 3}{2} = 216

r = \sqrt[3]{216} = 6

अतः टैंक की त्रिज्या 6 मीटर है। अतः सही विकल्प (a) है।4a:T488,Recurring decimal to fraction Let

x = 7.181818 \dots

Two digits repeat, so multiply by 100:

100 x = 718.181818 \dots

Subtracting removes the endless tail:

100 x - x = 718.1818 \dots - 7.1818 \dots

99x=711

x = \frac{711}{99} = \frac{79}{11}

(dividing numerator and denominator by 9) Quick check:

\frac{79}{11} = 7.1818 \dots

, which matches the given score. Hence option (c) is correct.4b:T594,आवर्ती दशमलव से भिन्न माना कि

x = 7.181818 \dots

दो अंक दोहराए जाते हैं, अतः 100 से गुणा कीजिए:

100 x = 718.181818 \dots

घटाने पर अनंत पूँछ समाप्त हो जाती है:

100 x - x = 718.1818 \dots - 7.1818 \dots

99x=711

x = \frac{711}{99} = \frac{79}{11}

(अंश और हर को 9 से भाग देने पर) जाँच:

\frac{79}{11} = 7.1818 \dots

, जो दिए गए स्कोर के समान है। अतः सही विकल्प (c) है।4c:T41a,In a communication tower design, two cables are fixed such that one makes an angle

θ

with the horizontal and the other makes an angle

(90^{\circ} - θ)

. If

\tan θ = \frac{3}{4}

, what is the value of

\sin θ x

\cos (90^{\circ} - θ) ?

4d:T4fa,एक संचार टावर के डिज़ाइन में दो केबल इस प्रकार लगाई गई हैं कि एक क्षैतिज के साथ

θ

का कोण बनाती है तथा दूसरी

(90^{\circ} - θ)

का कोण बनाती है। यदि

\tan θ = \frac{3}{4}

है, तो

\sin θ x

\cos (90^{\circ} - θ) ?

का मान क्या होगा?4e:T7d0,Complementary angle identity Use the complementary-angle rule

\cos (90^{\circ} - θ) = \sin θ

. So the required product

= \sin θ \times \sin θ = \sin^{2} θ

\tan θ = \frac{3}{4}

means perpendicular : base =3:4, so hypotenuse

= \sqrt{3^{2} + 4^{2}} = \sqrt{25} = 5

\sin θ = \frac{perpendicular}{hypotenuse} = \frac{3}{5}

\sin^{2} θ = {(\frac{3}{5})}^{2} = \frac{9}{25}

Hence option (b) is correct.4f:T86a,पूरक कोण सर्वसमिका पूरक कोण का नियम प्रयोग कीजिए:

\cos (90^{\circ} - θ) = \sin θ

। अतः अभीष्ट गुणनफल

= \sin θ \times \sin θ = \sin^{2} θ

।

\tan θ = \frac{3}{4}

का अर्थ है लंब : आधार =3:4, अतः कर्ण

= \sqrt{3^{2} + 4^{2}} = \sqrt{25} = 5

।

\sin θ = \frac{लंब}{कर्ण} = \frac{3}{5}

\sin^{2} θ = {(\frac{3}{5})}^{2} = \frac{9}{25}

अतः सही विकल्प (b) है।50:T59f,Counting perfect squares A perfect square lying between 30 and 900 is

n^{2}

with

30 < n^{2} < 900

. Smallest one:

5^{2} = 25

is below 30, while

6^{2} = 36

is above 30, so n starts at 6. Largest one:

30^{2} = 900

is not less than 900, while

29^{2} = 841

is, so n ends at 29.

Count of values of n =29-6+1=24 Hence option (c) is correct.51:T6e9,पूर्ण वर्गों की गणना 30 और 900 के बीच स्थित पूर्ण वर्ग

n^{2}

है, जहाँ

30 < n^{2} < 900

। सबसे छोटा:

5^{2} = 25

, 30 से कम है जबकि

6^{2} = 36

, 30 से अधिक है, अतः n की शुरुआत 6 से होती है। सबसे बड़ा:

30^{2} = 900

, 900 से कम नहीं है जबकि

29^{2} = 841

कम है, अतः n का अंत 29 पर होता है।

n के मानों की संख्या =29-6+1=24 अतः सही विकल्प (c) है।52:T7cb,Sum of cubes identity Write a=545 and b=315. The expression is

\frac{a^{3} + b^{3}}{a^{2} - a b + b^{2}}

. Identity:

a^{3} + b^{3} = (a + b) (a^{2} - a b + b^{2})

\frac{(a + b) (a^{2} - a b + b^{2})}{a^{2} - a b + b^{2}} = a + b

=545+315=860 Whenever the numerator is a sum of cubes and the denominator is exactly

a^{2} - a b + b^{2}

, the answer is simply a+b. Hence option (a) is correct.53:T883,घनों के योग की सर्वसमिका माना कि a=545 तथा b=315। तब व्यंजक

\frac{a^{3} + b^{3}}{a^{2} - a b + b^{2}}

है। सर्वसमिका:

a^{3} + b^{3} = (a + b) (a^{2} - a b + b^{2})

।

\frac{(a + b) (a^{2} - a b + b^{2})}{a^{2} - a b + b^{2}} = a + b

=545+315=860 जब भी अंश घनों का योग हो और हर ठीक

a^{2} - a b + b^{2}

हो, तो उत्तर केवल a+b होता है। अतः सही विकल्प (a) है।54:T4fb,Up-and-down series sum The series climbs from 1 up to 31 and then comes back down to 1. For such a series,

1 + 2 + \dots + n + \dots + 2 + 1 = n^{2}

, where n is the peak term.

Here the peak is n=31, so the sum

= 31^{2} = 961

. Check:

2 (1 + 2 + \dots + 30) + 31 = 2 \times \frac{30 \times 31}{2} + 31 = 930 + 31 = 961

Hence option (b) is correct.55:T606,आरोही-अवरोही शृंखला का योग यह शृंखला 1 से बढ़कर 31 तक जाती है और फिर घटकर पुनः 1 पर आ जाती है। ऐसी शृंखला के लिए

1 + 2 + \dots + n + \dots + 2 + 1 = n^{2}

होता है, जहाँ n शिखर पद है।

यहाँ शिखर n=31 है, अतः योग

= 31^{2} = 961

। जाँच:

2 (1 + 2 + \dots + 30) + 31 = 2 \times \frac{30 \times 31}{2} + 31 = 930 + 31 = 961

अतः सही विकल्प (b) है।56:T5cf,Trigonometric simplification Split the single fraction over the common denominator:

\frac{1 + \sin x}{\cos x} = \frac{1}{\cos x} + \frac{\sin x}{\cos x}

. Now use the basic ratios:

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

and

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

. So the expression

= \sec x + \tan x

. Option (a) fails because

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

, not

\frac{\sin x}{\cos x}

. Hence option (b) is correct.57:T6c7,त्रिकोणमितीय सरलीकरण भिन्न को उभयनिष्ठ हर पर अलग-अलग लिखिए:

\frac{1 + \sin x}{\cos x} = \frac{1}{\cos x} + \frac{\sin x}{\cos x}

। अब मूल अनुपातों का प्रयोग कीजिए:

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

तथा

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

। अतः व्यंजक

= \sec x + \tan x

। विकल्प (a) गलत है क्योंकि

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

होता है,

\frac{\sin x}{\cos x}

नहीं। अतः सही विकल्प (b) है।1d:["$","$L27",null,{"mode":"exam","dropped":0,"bilingual":true,"choiceSubjects":[],"questions":[{"id":6901,"n":1,"subject":"English Language","stem":"Identify Spot the error in the given sentence.\n"Because of he was exhausted, he could not finish the task on time."","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"Because of","textHi":null,"imageUrl":null},{"key":"b","text":"he was exhausted","textHi":null,"imageUrl":null},{"key":"c","text":"he could not finish","textHi":null,"imageUrl":null},{"key":"d","text":"the task on time","textHi":null,"imageUrl":null}],"correct":"a","sol":"Because vs because of\n'Because of' is a two-word preposition, so it must be followed by a noun or a noun phrase — 'because of his exhaustion', 'because of the rain'.\nWhat follows here is 'he was exhausted', a full clause with its own subject and finite verb, and a clause needs the plain conjunction 'Because'.\n $\"figure\"/$ \nParts (b), (c) and (d) are all sound, so the error lies in the opening words 'Because of'.\nHence option (a) is correct.","solHi":null,"pos":2,"neg":0.5},{"id":6902,"n":2,"subject":"English Language","stem":"Fill in the blank with the most appropriate preposition:\nHe has great confidence

____

his ability to handle difficult situations.","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"in","textHi":null,"imageUrl":null},{"key":"b","text":"on","textHi":null,"imageUrl":null},{"key":"c","text":"at","textHi":null,"imageUrl":null},{"key":"d","text":"with","textHi":null,"imageUrl":null}],"correct":"a","sol":"Preposition with 'confidence'\nNouns of trust — confidence, faith, belief, trust — take the preposition 'in' before the thing that is trusted.\nThe trust here rests on his ability, so the fixed collocation is 'confidence in his ability'.\n'Confidence on' and 'confidence at' are not standard English, and 'with confidence' means 'confidently', which cannot take 'his ability' as an object.\nHence option (a) is correct.","solHi":null,"pos":2,"neg":0.5},{"id":6903,"n":3,"subject":"English Language","stem":"Fill in the blank with the most appropriate phrasal verb:\nThe negotiator worked hard to

____

the rising tensions between the two groups.","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"smooth over","textHi":null,"imageUrl":null},{"key":"b","text":"call off","textHi":null,"imageUrl":null},{"key":"c","text":"set out","textHi":null,"imageUrl":null},{"key":"d","text":"bring up","textHi":null,"imageUrl":null}],"correct":"a","sol":"Phrasal verb 'smooth over'\n'Smooth over' means to make a disagreement or difficulty seem less serious, that is, to calm it down.\nThe negotiator is working on 'the rising tensions', and tensions are exactly the kind of thing one smooths over.\n'Call off' means to cancel, 'set out' means to begin a journey or to state formally, and 'bring up' means to raise a topic or to rear a child — none of them fits the easing of tension.\nHence option (a) is correct.","solHi":null,"pos":2,"neg":0.5},{"id":6904,"n":4,"subject":"English Language","stem":"Select the most appropriate synonym of the word: DIVERGENT","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"Distinct","textHi":null,"imageUrl":null},{"key":"b","text":"Alike","textHi":null,"imageUrl":null},{"key":"c","text":"Parallel","textHi":null,"imageUrl":null},{"key":"d","text":"Consistent","textHi":null,"imageUrl":null}],"correct":"a","sol":"Synonym of 'divergent'\n'Divergent' describes things that move apart from a common point and therefore differ from one another — divergent views, divergent paths.\n'Distinct' means clearly different and separate, which carries the very same idea of difference.\n $\"figure\"/$ \n'Alike', 'parallel' and 'consistent' all point to sameness or agreement, the opposite of divergent.\nHence option (a) is correct.","solHi":null,"pos":2,"neg":0.5},{"id":6905,"n":5,"subject":"English Language","stem":"Select the most appropriate synonym of the word: Laconic","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"Verbose","textHi":null,"imageUrl":null},{"key":"b","text":"Taciturn","textHi":null,"imageUrl":null},{"key":"c","text":"Terse","textHi":null,"imageUrl":null},{"key":"d","text":"Loquacious","textHi":null,"imageUrl":null}],"correct":"c","sol":"Synonym of 'laconic'\n'Laconic' describes speech or writing that uses very few words — a laconic reply, a laconic note.\n'Terse' means brief and to the point, so it matches 'laconic' both in sense and in the nouns it goes with.\n $\"figure\"/$ \n'Taciturn' is the tempting choice, but it describes a person's silent, reserved nature, not the brevity of the words actually spoken.\n'Verbose' and 'loquacious' mean wordy and talkative, which is the very opposite of laconic.\nHence option (c) is correct.","solHi":null,"pos":2,"neg":0.5},{"id":6906,"n":6,"subject":"English Language","stem":"Fill in the blank with the most appropriate idiomatic expression:\nWhen asked about the mistake, she avoided giving a direct answer and continued to

____

.","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"pay the piper","textHi":null,"imageUrl":null},{"key":"b","text":"dance around the issue","textHi":null,"imageUrl":null},{"key":"c","text":"get the taste of her own medicine","textHi":null,"imageUrl":null},{"key":"d","text":"spill the beans","textHi":null,"imageUrl":null}],"correct":"b","sol":"Idiom of evasion\n'To dance around the issue' means to avoid dealing with a subject directly.\nThe sentence itself says that she 'avoided giving a direct answer', so the idiom in the blank must continue that idea of evasion.\n'Pay the piper' is to bear the consequences, 'a taste of her own medicine' is to receive the same bad treatment one gave others, and 'spill the beans' is to reveal a secret — the last is in fact the opposite of avoiding an answer.\nHence option (b) is correct.","solHi":null,"pos":2,"neg":0.5},{"id":6907,"n":7,"subject":"English Language","stem":"Select the most appropriate antonym of the word: Counterfeit","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"Straightforward","textHi":null,"imageUrl":null},{"key":"b","text":"Genuine","textHi":null,"imageUrl":null},{"key":"c","text":"Blunt","textHi":null,"imageUrl":null},{"key":"d","text":"Forthright","textHi":null,"imageUrl":null}],"correct":"b","sol":"Antonym of 'counterfeit'\n'Counterfeit' means made in imitation of something real so as to deceive — counterfeit notes, counterfeit goods.\nIts opposite must therefore be something real and authentic, and that word is 'genuine'.\n'Straightforward', 'blunt' and 'forthright' are opposites of 'evasive' or 'devious'; they answer a different question, not the one about fake versus real.\nHence option (b) is correct.","solHi":null,"pos":2,"neg":0.5},{"id":6908,"n":8,"subject":"English Language","stem":"Choose the most suitable option to replace the highlighted part of the sentence:\nThe player who took the most lowest number of wickets was harshly criticised by the spectators in the stadium.","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"the most lowest","textHi":null,"imageUrl":null},{"key":"b","text":"the lowest number of","textHi":null,"imageUrl":null},{"key":"c","text":"the most number","textHi":null,"imageUrl":null},{"key":"d","text":"the lowest","textHi":null,"imageUrl":null}],"correct":"b","sol":"Double superlative\n'Lowest' is already the superlative form of 'low', so placing 'most' before it creates a double superlative, which English does not permit.\nWickets are counted, and the natural way to speak of the smallest count is 'the lowest number of wickets'.\n $\"figure\"/$ \nOption (a) keeps the double superlative, (c) 'the most number' is unidiomatic, and (d) would give 'took the lowest wickets', which never says what was low.\nHence option (b) is correct.","solHi":null,"pos":2,"neg":0.5},{"id":6909,"n":9,"subject":"English Language","stem":"Choose the correct one-word substitute for:\nA person who has been rejected or ostracized by their society or social group.","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"Alien","textHi":null,"imageUrl":null},{"key":"b","text":"Asylum seeker","textHi":null,"imageUrl":null},{"key":"c","text":"Visitor","textHi":null,"imageUrl":null},{"key":"d","text":"Outcast","textHi":null,"imageUrl":null}],"correct":"d","sol":"One-word substitution\nThe clue words are 'rejected' and 'ostracized by their society' — the person has been pushed out of his own group.\n'Outcast' means exactly that: one who has been rejected and driven out by his society or social group.\n'Alien' is a foreigner, an 'asylum seeker' flees to another country for safety, and a 'visitor' merely calls on a place — none of them carries the sense of rejection by one's own people.\nHence option (d) is correct.","solHi":null,"pos":2,"neg":0.5},{"id":6910,"n":10,"subject":"English Language","stem":"Choose the correct indirect narration of the following statement from the given alternatives:\nThe teacher said, "Students, finish your work and submit the files by evening."","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"The teacher asked the students to finish their work and submit the files by evening.","textHi":null,"imageUrl":null},{"key":"b","text":"The teacher asked the students to finish your work and submit the files by evening.","textHi":null,"imageUrl":null},{"key":"c","text":"The teacher asked the students that they finish their work and submit the files by evening.","textHi":null,"imageUrl":null},{"key":"d","text":"The teacher asked the students to finished their work and submitted the files by evening.","textHi":null,"imageUrl":null}],"correct":"a","sol":"Direct to indirect: imperative\nThe reported words are an order, so the reporting verb becomes 'asked/told' and the command is turned into a 'to + V1' infinitive.\nThe vocative 'Students' becomes the object of that verb, 'the students', and the pronoun 'your' shifts to 'their'.\n $\"figure\"/$ \nThat yields 'The teacher asked the students to finish their work and submit the files by evening.'\nOption (b) keeps 'your', option (c) replaces the infinitive with a 'that'-clause, and option (d) puts past forms after 'to'.\nHence option (a) is correct.","solHi":null,"pos":2,"neg":0.5},{"id":6911,"n":11,"subject":"English Language","stem":"Select the most appropriate antonym of the word:\nALACRITY","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"Lethargy","textHi":null,"imageUrl":null},{"key":"b","text":"Eagerness","textHi":null,"imageUrl":null},{"key":"c","text":"Promptness","textHi":null,"imageUrl":null},{"key":"d","text":"Readiness","textHi":null,"imageUrl":null}],"correct":"a","sol":"Antonym of 'alacrity'\n'Alacrity' means brisk and cheerful willingness — 'she accepted the invitation with alacrity'.\nIts opposite is a want of energy and willingness, and that is 'lethargy'.\n'Eagerness', 'promptness' and 'readiness' are all synonyms of alacrity, so they cannot be its antonym.\nHence option (a) is correct.","solHi":null,"pos":2,"neg":0.5},{"id":6912,"n":12,"subject":"English Language","stem":"Which sentence contains a misspelled word?","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"The garden looked beautiful after the morning rain.","textHi":null,"imageUrl":null},{"key":"b","text":"She wore a beautiful dress that suited the occasion perfectly.","textHi":null,"imageUrl":null},{"key":"c","text":"The sunset over the hills was truly beautiful to watch.","textHi":null,"imageUrl":null},{"key":"d","text":"He described the idea in a simple yet beautifull manner.","textHi":null,"imageUrl":null}],"correct":"d","sol":"Spelling: '-ful' suffix\nThe word being tested in all four sentences is 'beautiful', which ends in a single 'l' — beauty + ful.\nOption (d) writes it as 'beautifull' with a double 'l', so that is the sentence carrying a misspelt word.\n $\"figure\"/$ \nThe suffix '-ful' always keeps one 'l' when it is added to a word: careful, useful, hopeful, powerful.\nHence option (d) is correct.","solHi":null,"pos":2,"neg":0.5},{"id":6913,"n":13,"subject":"English Language","stem":"Fill in the blank with the correctly spelled word:\n"The author was given a

____

for his outstanding contribution to literature."","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"recognision","textHi":null,"imageUrl":null},{"key":"b","text":"recoginition","textHi":null,"imageUrl":null},{"key":"c","text":"recognittion","textHi":null,"imageUrl":null},{"key":"d","text":"recognition","textHi":null,"imageUrl":null}],"correct":"d","sol":"Spelling: 'recognition'\n'Recognition' is built on 'recognise': the '-ise' ending is dropped and '-ition' is added.\nThe correct spelling therefore keeps the stem 'recogn-' intact — r-e-c-o-g-n-i-t-i-o-n.\n'Recognision' spoils the ending, 'recoginition' inserts an extra 'i' after the 'g', and 'recognittion' doubles the 't'.\nHence option (d) is correct.","solHi":null,"pos":2,"neg":0.5},{"id":6914,"n":14,"subject":"English Language","stem":"Change the following sentence into the Active form.\nHas the ancient manuscript been translated by the scholar?","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"Has the scholar translated the ancient manuscript?","textHi":null,"imageUrl":null},{"key":"b","text":"The scholar has translated the ancient manuscript?","textHi":null,"imageUrl":null},{"key":"c","text":"Did the scholar translate the ancient manuscript?","textHi":null,"imageUrl":null},{"key":"d","text":"The ancient manuscript has been translating by the scholar?","textHi":null,"imageUrl":null}],"correct":"a","sol":"Passive to active voice\nThe given sentence is a present-perfect passive question: Has + object + been + V3 + by + doer.\nIn the active form the doer becomes the subject, 'been' disappears and the pattern is Has + doer + V3 + object.\n $\"figure\"/$ \nSo 'the scholar' moves to the front and the question reads 'Has the scholar translated the ancient manuscript?'\nOption (b) is a statement given a question mark, option (c) shifts the tense to simple past, and option (d) is still passive.\nHence option (a) is correct.","solHi":null,"pos":2,"neg":0.5},{"id":6915,"n":15,"subject":"English Language","stem":"Choose the correct passive voice transformation of the sentence:\nShe cannot solve the puzzle alone.","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"The puzzle was not solved by her alone.","textHi":null,"imageUrl":null},{"key":"b","text":"The puzzle is not solved by her alone.","textHi":null,"imageUrl":null},{"key":"c","text":"The puzzle cannot be solved by her alone.","textHi":null,"imageUrl":null},{"key":"d","text":"The puzzle cannot have been solved by her alone.","textHi":null,"imageUrl":null}],"correct":"c","sol":"Passive with a modal\nWhen the active sentence has a modal verb, the passive is formed as modal + be + V3.\n'Cannot solve' therefore becomes 'cannot be solved', while the object 'the puzzle' moves to the front and 'she' becomes 'by her'.\n $\"figure\"/$ \nOptions (a) and (b) drop the modal and put 'was not' / 'is not' in its place, and option (d) adds a perfect 'have been' that the active sentence does not contain.\nHence option (c) is correct.","solHi":null,"pos":2,"neg":0.5},{"id":6916,"n":16,"subject":"English Language","stem":"Select the option that expresses the given sentence in direct voice.\nThe witness stated that the incident had occurred late at night.","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"The witness stated, "The incident is occurred late at night."","textHi":null,"imageUrl":null},{"key":"b","text":"The witness stated, "The incident occurred late at night."","textHi":null,"imageUrl":null},{"key":"c","text":"The witness stated, "The incident have occurred late at night."","textHi":null,"imageUrl":null},{"key":"d","text":"The witness stated, "The incident is occuring late at night."","textHi":null,"imageUrl":null}],"correct":"b","sol":"Indirect to direct speech\nTo turn indirect speech into direct speech, the conjunction 'that' is dropped and the speaker's own words are placed after a comma inside inverted commas.\nThe backshift of tense is then undone: the reported past perfect 'had occurred' goes back to the simple past 'occurred'.\n $\"figure\"/$ \nOption (a) turns the verb into a faulty passive, option (c) uses plural 'have' with the singular 'incident', and option (d) makes it continuous and misspells 'occurring'.\nHence option (b) is correct.","solHi":null,"pos":2,"neg":0.5},{"id":6917,"n":17,"subject":"English Language","stem":"Choose the correct passive voice transformation of the sentence:\nThe proposal is believed to have influenced public opinion significantly.","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"Public opinion is believed to have been influenced significantly by the proposal.","textHi":null,"imageUrl":null},{"key":"b","text":"It is believed that public opinion has been influenced significantly by the proposal.","textHi":null,"imageUrl":null},{"key":"c","text":"Public opinion will have been influenced significantly by the proposal.","textHi":null,"imageUrl":null},{"key":"d","text":"The proposal is believed that public opinion has been influenced significantly.","textHi":null,"imageUrl":null}],"correct":"a","sol":"$28","solHi":null,"pos":2,"neg":0.5},{"id":6918,"n":18,"subject":"English Language","stem":"In the sentence: "Forests are among the most valuable natural resources on Earth," what is the tense of the verb "are" ?","stemHi":null,"context":"$29","contextHi":null,"options":[{"key":"a","text":"Past simple","textHi":null,"imageUrl":null},{"key":"b","text":"Present simple","textHi":null,"imageUrl":null},{"key":"c","text":"Present perfect","textHi":null,"imageUrl":null},{"key":"d","text":"Future simple","textHi":null,"imageUrl":null}],"correct":"b","sol":"Tense identification\n'Are' is the plural present form of the verb 'be' (am / is / are), so the verb itself is in the present.\nA general, timeless fact is stated in the simple present, and 'Forests are among the most valuable natural resources on Earth' is exactly such a fact.\nThe past simple would need 'were', the present perfect 'have been', and the future simple 'will be' — none of these appears.\nHence option (b) is correct.","solHi":null,"pos":2,"neg":0.5},{"id":6919,"n":19,"subject":"English Language","stem":"In the sentence: "They help regulate the climate by absorbing carbon dioxide,"\nThe given sentence is in active voice or passive voice?","stemHi":null,"context":"$2a","contextHi":null,"options":[{"key":"a","text":"Active voice - the subject performs the action","textHi":null,"imageUrl":null},{"key":"b","text":"Passive voice - the action is done to the subject","textHi":null,"imageUrl":null},{"key":"c","text":"Passive voice - the doer is hidden","textHi":null,"imageUrl":null},{"key":"d","text":"Active voice - without an object","textHi":null,"imageUrl":null}],"correct":"a","sol":"Voice identification\nIn the active voice the subject performs the action; in the passive voice the subject receives it.\nHere 'They' (the forests) is the subject and 'help regulate' is what they themselves do, so the subject is the doer.\n $\"figure\"/$ \nA passive version would have to read 'The climate is regulated ... by them', which is not what the sentence says.\nOption (d) also fails because the sentence does carry an object, 'the climate'.\nHence option (a) is correct.","solHi":null,"pos":2,"neg":0.5},{"id":6920,"n":20,"subject":"English Language","stem":"The word "biodiversity" refers to:","stemHi":null,"context":"$2b","contextHi":null,"options":[{"key":"a","text":"A type of forest soil","textHi":null,"imageUrl":null},{"key":"b","text":"The variety of living organisms in an area","textHi":null,"imageUrl":null},{"key":"c","text":"A farming technique","textHi":null,"imageUrl":null},{"key":"d","text":"A weather condition","textHi":null,"imageUrl":null}],"correct":"b","sol":"Vocabulary from the passage\n'Bio-' means life and 'diversity' means variety, so 'biodiversity' is the variety of living organisms found in an area.\nThe passage confirms the sense: one hectare of rainforest may hold 'hundreds of different tree species, along with countless insects, birds, and mammals'.\nSoil, a farming technique and a weather condition have nothing to do with the range of living things, so the other options are ruled out.\nHence option (b) is correct.","solHi":null,"pos":2,"neg":0.5},{"id":6921,"n":21,"subject":"English Language","stem":"The word "deforestation" means:","stemHi":null,"context":"$2c","contextHi":null,"options":[{"key":"a","text":"Planting new trees","textHi":null,"imageUrl":null},{"key":"b","text":"Protection of wildlife","textHi":null,"imageUrl":null},{"key":"c","text":"Large-scale removal of forests","textHi":null,"imageUrl":null},{"key":"d","text":"Natural forest growth","textHi":null,"imageUrl":null}],"correct":"c","sol":"Vocabulary from passage\nThe prefix 'de-' carries the sense of removal or undoing, so 'deforestation' is the undoing of forest cover.\nThe passage confirms this by listing it among the dangers: forests are 'under severe threat due to deforestation, illegal logging, and expanding agriculture'.\nA word placed beside 'illegal logging' must name a form of forest loss, so it means the large-scale removal or clearing of forests — option (c).\nOptions (a) 'planting new trees' and (d) 'natural forest growth' describe forests increasing, which is the opposite, and (b) names a conservation activity, not forest loss.","solHi":null,"pos":2,"neg":0.5},{"id":6922,"n":22,"subject":"English Language","stem":"What does the passage mainly focus on?","stemHi":null,"context":"$2d","contextHi":null,"options":[{"key":"a","text":"Forests are useful only for timber","textHi":null,"imageUrl":null},{"key":"b","text":"Tropical forests exist only in certain countries","textHi":null,"imageUrl":null},{"key":"c","text":"Forests are vital but are being threatened and need protection","textHi":null,"imageUrl":null},{"key":"d","text":"Agriculture has no effect on forests","textHi":null,"imageUrl":null}],"correct":"c","sol":"Central idea of passage\nThe main focus must cover the whole passage, not a single detail from one paragraph.\nParagraph 1 sets out what forests give us, paragraph 2 adds the biodiversity of tropical rainforests, and paragraph 3 warns of deforestation and closes with 'Protecting forests is therefore essential'.\nPut together, the passage says forests are vital, they are being threatened, and they must be protected — option (c).\nOption (a) is wrong because the passage never limits forests to timber, (b) is never stated, and (d) is contradicted by 'expanding agriculture' being named as a threat.","solHi":null,"pos":2,"neg":0.5},{"id":6923,"n":23,"subject":"English Language","stem":"Which of the following pairs of homophones can be used to fill in the blanks most suitably?\nThe designer received a sincere

____

for her creativity, which served as the perfect\n

____

to the overall presentation.","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"complement, compliment","textHi":null,"imageUrl":null},{"key":"b","text":"compliment, complement","textHi":null,"imageUrl":null},{"key":"c","text":"complement, complement","textHi":null,"imageUrl":null},{"key":"d","text":"compliment, compliment","textHi":null,"imageUrl":null}],"correct":"b","sol":"Homophones: compliment/complement\n'Compliment' with an 'i' is a spoken expression of praise; 'complement' with an 'e' is something that completes another thing or goes perfectly with it.\nThe first blank follows 'received a sincere ___ for her creativity', and what one receives for creativity is praise, so it takes 'compliment'.\nThe second blank says the thing 'served as the perfect ___ to the overall presentation', that is, it completed the presentation, so it takes 'complement'.\nHence the correct pair is 'compliment, complement' — option (b).\nOption (a) simply reverses the two words, and options (c) and (d) repeat one spelling twice, so they are not even a pair of homophones.","solHi":null,"pos":2,"neg":0.5},{"id":6924,"n":24,"subject":"English Language","stem":"Which of the following pairs of homophones can be used to fill in the blanks most suitably?\nThe legal

____

offered valuable

____

to the members during the emergency meeting.","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"counsel, council","textHi":null,"imageUrl":null},{"key":"b","text":"council, counsel","textHi":null,"imageUrl":null},{"key":"c","text":"counsel, counsel","textHi":null,"imageUrl":null},{"key":"d","text":"council, council","textHi":null,"imageUrl":null}],"correct":"b","sol":"Homophones: council/counsel\n'Council' is a body of people who sit together to advise or to govern; 'counsel' means advice, especially advice given formally.\nThe first blank comes after 'The legal' and acts as the subject that 'offered' something at a meeting, so it names the body that met — 'council'.\nThe second blank is what was 'offered ... to the members', and what is offered to members at a meeting is advice, so it takes 'counsel'.\nThe question asks for a pair of homophones, so the two blanks must carry the two different spellings: 'council, counsel' — option (b).\nOptions (c) and (d) repeat a single word instead of pairing the homophones, and option (a) reverses the sense by putting the advice in front of 'legal' and the body after 'offered valuable'.","solHi":null,"pos":2,"neg":0.5},{"id":6925,"n":25,"subject":"English Language","stem":"Which of the following words refers to a gentle feeling of fondness or liking?","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"Affection","textHi":null,"imageUrl":null},{"key":"b","text":"Aversion","textHi":null,"imageUrl":null},{"key":"c","text":"Admiration","textHi":null,"imageUrl":null},{"key":"d","text":"Compassion","textHi":null,"imageUrl":null}],"correct":"a","sol":"One word substitution\n'Affection' means a gentle, warm feeling of fondness or liking for a person or thing, which is exactly the definition given.\n'Aversion' is its opposite — a strong feeling of dislike or hostility.\n'Admiration' is respect and warm approval for someone's qualities, which is stronger and more judgemental than simple fondness.\n'Compassion' is the sympathy one feels for another person's suffering, not fondness at all.\nSo the word wanted is 'Affection' — option (a).","solHi":null,"pos":2,"neg":0.5},{"id":6926,"n":26,"subject":"General Intelligence","stem":"Sunita's daughter's son's sister's mother's husband is Anil. How is Anil related to Sunita?","stemHi":"सुनीता की पुत्री के पुत्र की बहन की माता का पति अनिल है। अनिल, सुनीता से किस प्रकार संबंधित है?","context":null,"contextHi":null,"options":[{"key":"a","text":"Husband","textHi":"पति","imageUrl":null},{"key":"b","text":"Brother","textHi":"भाई","imageUrl":null},{"key":"c","text":"Father","textHi":"पिता","imageUrl":null},{"key":"d","text":"Son-in-law","textHi":"दामाद","imageUrl":null}],"correct":"d","sol":"Blood relation chain\nOpen the chain one link at a time, starting from Sunita.\nSunita's daughter's son's sister is that boy's sister, so she is another child of Sunita's daughter.\nThat sister's mother is therefore Sunita's daughter herself.\n $\"figure\"/$ \nHer husband is Anil, so Anil is the husband of Sunita's daughter.\nThe husband of one's daughter is one's son-in-law, so the answer is option (d).","solHi":"रक्त-संबंध शृंखला\nसुनीता से आरंभ करके शृंखला को एक-एक कड़ी करके खोलिए।\nसुनीता की पुत्री के पुत्र की बहन, उसी लड़के की बहन है, अतः वह सुनीता की पुत्री की ही दूसरी संतान है।\nइसलिए उस बहन की माता स्वयं सुनीता की पुत्री है।\n $\"figure\"/$ \nउसका पति अनिल है, अतः अनिल सुनीता की पुत्री का पति है।\nकिसी की पुत्री का पति उसका दामाद होता है, अतः उत्तर विकल्प (d) है।","pos":2,"neg":0.5},{"id":6927,"n":27,"subject":"General Intelligence","stem":"In a family, K is the son of L. M is the brother of K. N is the mother of M. O is the father of N . How is L related to O ?","stemHi":"एक परिवार में, K, L का पुत्र है। M, K का भाई है। N, M की माता है। O, N का पिता है। L, O से किस प्रकार संबंधित है?","context":null,"contextHi":null,"options":[{"key":"a","text":"Daughter","textHi":"पुत्री","imageUrl":null},{"key":"b","text":"Son-in-law","textHi":"दामाद","imageUrl":null},{"key":"c","text":"Son","textHi":"पुत्र","imageUrl":null},{"key":"d","text":"Daughter-in-law","textHi":"पुत्रवधू","imageUrl":null}],"correct":"b","sol":"Blood relation\nK is the son of L and M is the brother of K, so L is a parent of both K and M.\nN is the mother of M, and therefore of K as well, so N is the mother in this family.\nThe other parent, L, must then be the father — a male member.\n $\"figure\"/$ \nO is the father of N, which makes N the daughter of O, and L is the husband of that daughter.\nThe husband of one's daughter is one's son-in-law, so L is the son-in-law of O — option (b).","solHi":"रक्त-संबंध\nK, L का पुत्र है तथा M, K का भाई है, अतः L, K और M दोनों का अभिभावक है।\nN, M की माता है और इसीलिए K की भी माता है, अतः इस परिवार में माता N है।\nतब दूसरा अभिभावक L अवश्य ही पिता होगा — अर्थात पुरुष सदस्य।\n $\"figure\"/$ \nO, N का पिता है, अतः N, O की पुत्री हुई और L उसी पुत्री का पति है।\nकिसी की पुत्री का पति उसका दामाद होता है, अतः L, O का दामाद है — विकल्प (b)।","pos":2,"neg":0.5},{"id":6928,"n":28,"subject":"General Intelligence","stem":"A company's profit in the first quarter was ₹1,50,000. In the second quarter, the profit decreased by 20%. What was the profit in the second quarter?","stemHi":"एक कंपनी का प्रथम तिमाही में लाभ ₹1,50,000 था। दूसरी तिमाही में लाभ 20% घट गया। दूसरी तिमाही में लाभ कितना था?","context":null,"contextHi":null,"options":[{"key":"a","text":"₹1,20,000","textHi":null,"imageUrl":null},{"key":"b","text":"₹1,10,000","textHi":null,"imageUrl":null},{"key":"c","text":"₹1,12,000","textHi":null,"imageUrl":null},{"key":"d","text":"₹1,15,000","textHi":null,"imageUrl":null}],"correct":"a","sol":"Percentage decrease\nA decrease of 20% leaves

100 % - 20 % = 80 %

of the first-quarter profit.\nSecond quarter profit

= \frac{80}{100} \times 150000

= 0.8 \times 150000 = 120000

\nSo the profit in the second quarter was ₹1,20,000 — option (a).","solHi":"प्रतिशत कमी\n20% की कमी के बाद प्रथम तिमाही के लाभ का

100 % - 20 % = 80 %

शेष रहता है।\nदूसरी तिमाही का लाभ

= \frac{80}{100} \times 150000

= 0.8 \times 150000 = 120000

\nअतः दूसरी तिमाही में लाभ ₹1,20,000 था — विकल्प (a)।","pos":2,"neg":0.5},{"id":6929,"n":29,"subject":"General Intelligence","stem":"The ratio of men to boys in a room is

5 : 3

. If there are 25 men, what is the total number of people in the room?","stemHi":"एक कमरे में पुरुषों और लड़कों का अनुपात

5 : 3

है। यदि वहाँ 25 पुरुष हैं, तो कमरे में कुल कितने लोग हैं?","context":null,"contextHi":null,"options":[{"key":"a","text":"24","textHi":null,"imageUrl":null},{"key":"b","text":"40","textHi":null,"imageUrl":null},{"key":"c","text":"36","textHi":null,"imageUrl":null},{"key":"d","text":"30","textHi":null,"imageUrl":null}],"correct":"b","sol":"Ratio and proportion\nLet the number of men be 5x and the number of boys be 3x.\nGiven that there are 25 men, 5x = 25, so x = 5.\nNumber of boys

= 3 x = 3 \times 5 = 15

.\n $\"figure\"/$ \nTotal number of people = 25 + 15 = 40, which is option (b).","solHi":"अनुपात और समानुपात\nमाना कि पुरुषों की संख्या 5x तथा लड़कों की संख्या 3x है।\nदिया है कि पुरुष 25 हैं, अतः 5x = 25, इसलिए x = 5।\nलड़कों की संख्या

= 3 x = 3 \times 5 = 15

।\n $\"figure\"/$ \nकुल व्यक्ति = 25 + 15 = 40, जो विकल्प (b) है।","pos":2,"neg":0.5},{"id":6930,"n":30,"subject":"General Intelligence","stem":"P can complete a work in 20 days, and Q can complete the same work in 30 days. If they work together, how many days will they take to complete the work?","stemHi":"P एक कार्य को 20 दिनों में पूरा कर सकता है और Q उसी कार्य को 30 दिनों में पूरा कर सकता है। यदि वे एक साथ कार्य करें, तो कार्य पूरा करने में उन्हें कितने दिन लगेंगे?","context":null,"contextHi":null,"options":[{"key":"a","text":"6 days","textHi":"6 दिन","imageUrl":null},{"key":"b","text":"8 days","textHi":"8 दिन","imageUrl":null},{"key":"c","text":"12 days","textHi":"12 दिन","imageUrl":null},{"key":"d","text":"5 days","textHi":"5 दिन","imageUrl":null}],"correct":"c","sol":"Time and work\nTake the total work as the LCM of 20 and 30, that is 60 units.\nP's one day work

= \frac{60}{20} = 3

units and Q's one day work

= \frac{60}{30} = 2

units.\nWorking together, in one day they do 3 + 2 = 5 units.\n $\"figure\"/$ \nTime taken together

= \frac{60}{5} = 12

days, which is option (c).","solHi":"समय और कार्य\nकुल कार्य को 20 और 30 का ल.स. अर्थात 60 इकाई मान लीजिए।\nP का एक दिन का कार्य

= \frac{60}{20} = 3

इकाई तथा Q का एक दिन का कार्य

= \frac{60}{30} = 2

इकाई।\nएक साथ कार्य करने पर वे एक दिन में 3 + 2 = 5 इकाई कार्य करते हैं।\n $\"figure\"/$ \nएक साथ लगा समय

= \frac{60}{5} = 12

दिन, जो विकल्प (c) है।","pos":2,"neg":0.5},{"id":6931,"n":31,"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 letter comes next: C, G, K, O, ?","stemHi":"कुछ अक्षर दिए गए हैं जिनके बाद एक प्रश्नवाचक चिह्न (?) है; ये अक्षर एक निश्चित प्रतिरूप का अनुसरण कर रहे हैं। आपको वह सही विकल्प चुनना है जो प्रश्नवाचक चिह्न के स्थान पर आ सके।\nअगला अक्षर कौन-सा आएगा: C, G, K, O, ?","context":null,"contextHi":null,"options":[{"key":"a","text":"S","textHi":null,"imageUrl":null},{"key":"b","text":"T","textHi":null,"imageUrl":null},{"key":"c","text":"Q","textHi":null,"imageUrl":null},{"key":"d","text":"U","textHi":null,"imageUrl":null}],"correct":"a","sol":"Letter series\nWrite the alphabetical position of each letter: C is 3, G is 7, K is 11 and O is 15.\nThe positions rise by 4 every time, so each letter is the fourth letter after the one before it.\n $\"figure\"/$ \nThe next position is 15 + 4 = 19, and the 19th letter of the alphabet is S — option (a).","solHi":"अक्षर शृंखला\nप्रत्येक अक्षर का वर्णमाला-स्थान लिखिए: C का 3, G का 7, K का 11 और O का 15 है।\nस्थान प्रत्येक बार 4 बढ़ते हैं, अर्थात प्रत्येक अक्षर अपने पूर्ववर्ती अक्षर से चौथा अक्षर है।\n $\"figure\"/$ \nअगला स्थान 15 + 4 = 19 है और वर्णमाला का 19वाँ अक्षर S है — विकल्प (a)।","pos":2,"neg":0.5},{"id":6932,"n":32,"subject":"General Intelligence","stem":"In this type of questions, a 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 is facing frequent delays in morning assembly due to overcrowding at entry gates. What is the most immediate and practical step to resolve the problem?","stemHi":"इस प्रकार के प्रश्नों में कोई मुद्दा/विवाद/समस्या दी जाती है, जिसके बाद उस समस्या के समाधान की कुछ विधियाँ दी जाती हैं; इनमें से वह उपयुक्त समस्या-समाधान विधि चुननी है जिसे क्रियान्वित किया जा सके।\nएक विद्यालय में प्रवेश द्वारों पर अत्यधिक भीड़ के कारण प्रातःकालीन सभा में बार-बार विलंब हो रहा है। इस समस्या के समाधान के लिए सबसे तात्कालिक और व्यावहारिक कदम क्या है?","context":null,"contextHi":null,"options":[{"key":"a","text":"Increase school fees to reduce admissions","textHi":"प्रवेश कम करने के लिए विद्यालय शुल्क बढ़ा दिया जाए","imageUrl":null},{"key":"b","text":"Cancel the morning assembly permanently","textHi":"प्रातःकालीन सभा स्थायी रूप से बंद कर दी जाए","imageUrl":null},{"key":"c","text":"Construct a new school building immediately","textHi":"तत्काल एक नया विद्यालय भवन बनाया जाए","imageUrl":null},{"key":"d","text":"Stagger entry timings for different classes","textHi":"विभिन्न कक्षाओं के लिए प्रवेश का समय अलग-अलग कर दिया जाए","imageUrl":null}],"correct":"d","sol":"Problem solving decision\nThe real problem is that everybody reaches the gate at the same moment, so the remedy must spread the arrivals out over time.\nStaggering the entry timings of different classes does exactly that, needs no money and can begin the very next morning.\nSo option (d) is the most immediate and practical step.\nRaising the fees (a) does not shorten the queue and punishes students instead, cancelling the assembly (b) removes the activity rather than solving the crowding, and a new building (c) takes months of time and heavy expense.","solHi":"समस्या-समाधान निर्णय\nवास्तविक समस्या यह है कि सभी एक ही समय पर द्वार पर पहुँचते हैं, अतः समाधान ऐसा होना चाहिए जो आगमन को समय में बाँट दे।\nविभिन्न कक्षाओं के प्रवेश-समय अलग-अलग कर देना ठीक यही करता है, इसमें कोई व्यय नहीं है और इसे अगली ही सुबह से लागू किया जा सकता है।\nअतः विकल्प (d) सबसे तात्कालिक और व्यावहारिक कदम है।\nशुल्क बढ़ाना (a) पंक्ति को छोटा नहीं करता, उल्टे छात्रों पर भार डालता है; सभा बंद करना (b) भीड़ की समस्या हल करने के बजाय गतिविधि ही समाप्त कर देता है; और नया भवन (c) महीनों का समय तथा भारी व्यय माँगता है।","pos":2,"neg":0.5},{"id":6933,"n":33,"subject":"General Intelligence","stem":"By interchanging which two signs the equation will be correct ?\n

6 + 9 \times 2 - 3 \div 4 = 8

","stemHi":"किन दो चिह्नों को आपस में बदल देने पर समीकरण सही हो जाएगा?\n

6 + 9 \times 2 - 3 \div 4 = 8

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

\div

","textHi":"- और

\div

","imageUrl":null},{"key":"b","text":"- and +","textHi":"- और +","imageUrl":null},{"key":"c","text":"+ and

\div

","textHi":"+ और

\div

","imageUrl":null},{"key":"d","text":"÷ and ×","textHi":"÷ और ×","imageUrl":null}],"correct":"a","sol":"$2e","solHi":"$2f","pos":2,"neg":0.5},{"id":6934,"n":34,"subject":"General Intelligence","stem":"Pick the correct options from the given alternatives\n3 : 9 : 27 :: 4 :16: 64 :: ?","stemHi":"दिए गए विकल्पों में से सही विकल्प चुनिए।\n3 : 9 : 27 :: 4 :16: 64 :: ?","context":null,"contextHi":null,"options":[{"key":"a","text":"

2 : 4 : 10

","textHi":null,"imageUrl":null},{"key":"b","text":"8 : 64 : 48","textHi":null,"imageUrl":null},{"key":"c","text":"6 : 36 : 648","textHi":null,"imageUrl":null},{"key":"d","text":"7 : 49 : 343","textHi":null,"imageUrl":null}],"correct":"d","sol":"$30","solHi":"$31","pos":2,"neg":0.5},{"id":6935,"n":35,"subject":"General Intelligence","stem":"Find out the missing number in the following sequence.\n31, 37, 41, 43, 47, ?, 59","stemHi":"निम्नलिखित शृंखला में लुप्त संख्या ज्ञात कीजिए।\n31, 37, 41, 43, 47, ?, 59","context":null,"contextHi":null,"options":[{"key":"a","text":"50","textHi":null,"imageUrl":null},{"key":"b","text":"53","textHi":null,"imageUrl":null},{"key":"c","text":"52","textHi":null,"imageUrl":null},{"key":"d","text":"57","textHi":null,"imageUrl":null}],"correct":"b","sol":"Prime number series\nThe differences +6, +4, +2, +4 follow no fixed rule, so look at the numbers themselves.\nEvery given term — 31, 37, 41, 43, 47 and 59 — is a prime number, and no prime has been skipped between them.\n $\"figure\"/$ \nSo the series is simply consecutive primes, and the prime just after 47 is 53.\nIt also fits the far end, since the prime right after 53 is 59, the last term given.\nHence the missing number is 53 — option (b); 50, 52 and 57 are all composite, as

57 = 3 \times 19

.","solHi":"अभाज्य संख्या शृंखला\nअंतर +6, +4, +2, +4 किसी निश्चित नियम का पालन नहीं करते, अतः संख्याओं को स्वयं देखिए।\nप्रत्येक दिया गया पद — 31, 37, 41, 43, 47 तथा 59 — अभाज्य संख्या है और इनके बीच कोई अभाज्य छोड़ा नहीं गया है।\n $\"figure\"/$ \nअतः यह क्रमागत अभाज्य संख्याओं की शृंखला है और 47 के ठीक बाद की अभाज्य संख्या 53 है।\nयह दूसरे सिरे से भी मेल खाता है, क्योंकि 53 के ठीक बाद की अभाज्य संख्या 59 है, जो अंतिम पद है।\nअतः लुप्त संख्या 53 है — विकल्प (b); 50, 52 और 57 सभी भाज्य हैं, जैसे

57 = 3 \times 19

।","pos":2,"neg":0.5},{"id":6936,"n":36,"subject":"General Intelligence","stem":"Select the related letter from the given alternatives\nHLCF : INBH :: KOTX : ?","stemHi":"दिए गए विकल्पों में से संबंधित अक्षर-समूह चुनिए।\nHLCF : INBH :: KOTX : ?","context":null,"contextHi":null,"options":[{"key":"a","text":"LQSZ","textHi":null,"imageUrl":null},{"key":"b","text":"LSQZ","textHi":null,"imageUrl":null},{"key":"c","text":"LOSZ","textHi":null,"imageUrl":null},{"key":"d","text":"LZQS","textHi":null,"imageUrl":null}],"correct":"a","sol":"Letter cluster analogy\nCompare HLCF with INBH position by position:

H \to I

is +1,

L \to N

is +2,

C \to B

is -1 and

F \to H

is +2.\n $\"figure\"/$ \nApply the very same steps to KOTX: K+1=L, O+2=Q, T-1=S and X+2=Z.\nThis gives the cluster LQSZ, so the answer is option (a).\nOption (b) swaps the middle two letters and option (c) leaves O unchanged, so neither follows the pattern.","solHi":"अक्षर-समूह सादृश्यता\nHLCF की तुलना INBH से स्थान-दर-स्थान कीजिए:

H \to I

में +1,

L \to N

में +2,

C \to B

में -1 तथा

F \to H

में +2 है।\n $\"figure\"/$ \nठीक यही चरण KOTX पर लगाइए: K+1=L, O+2=Q, T-1=S तथा X+2=Z।\nइससे अक्षर-समूह LQSZ प्राप्त होता है, अतः उत्तर विकल्प (a) है।\nविकल्प (b) में बीच के दो अक्षर आपस में बदले हुए हैं और विकल्प (c) में O अपरिवर्तित रह जाता है, अतः दोनों प्रतिरूप का पालन नहीं करते।","pos":2,"neg":0.5},{"id":6937,"n":37,"subject":"General Intelligence","stem":"Select the related letter from the given alternatives\nGUJRATI : IGUJRAT :: ENGLISH: ?","stemHi":"दिए गए विकल्पों में से संबंधित अक्षर-समूह चुनिए।\nGUJRATI : IGUJRAT :: ENGLISH: ?","context":null,"contextHi":null,"options":[{"key":"a","text":"EHNGLIS","textHi":null,"imageUrl":null},{"key":"b","text":"ENGLHIS","textHi":null,"imageUrl":null},{"key":"c","text":"HENGLIS","textHi":null,"imageUrl":null},{"key":"d","text":"EHMGLIS","textHi":null,"imageUrl":null}],"correct":"c","sol":"Word rearrangement analogy\nIn GUJRATI : IGUJRAT the last letter I has been lifted off the end and placed in front of the remaining letters GUJRAT.\nNo letter is changed and the order of the rest is untouched, so the rule is simply 'move the last letter to the front'.\n $\"figure\"/$ \nIn ENGLISH the last letter is H and the rest is ENGLIS, so H goes to the front.\nThis gives HENGLIS, which is option (c); option (a) puts H second, option (b) puts it fifth and option (d) also changes N into M.","solHi":"शब्द पुनर्व्यवस्था सादृश्यता\nGUJRATI : IGUJRAT में अंतिम अक्षर I को अंत से हटाकर शेष अक्षरों GUJRAT के आगे रख दिया गया है।\nकोई अक्षर बदला नहीं गया है और शेष का क्रम भी वही है, अतः नियम केवल इतना है कि 'अंतिम अक्षर को सबसे आगे ले जाइए'।\n $\"figure\"/$ \nENGLISH में अंतिम अक्षर H है तथा शेष ENGLIS है, अतः H सबसे आगे जाएगा।\nइससे HENGLIS प्राप्त होता है, जो विकल्प (c) है; विकल्प (a) में H दूसरे स्थान पर, विकल्प (b) में पाँचवें स्थान पर है तथा विकल्प (d) में N को M भी कर दिया गया है।","pos":2,"neg":0.5},{"id":6938,"n":38,"subject":"General Intelligence","stem":"In the question below there are three statements followed by two conclusions I and II. You have to take the three given statements to be true even if they seem to be at variance from commonly known facts and then decide which of the given conclusions logically follows from the three statements disregarding commonly known facts.\nStatements :\nthree given statements to be true even if they seem to be at variance from commonly known facts and then decide which of the given conclusions logically follows from the three statements disregarding commonly known facts.\nStatements :\nAll dogs are cats.\nNo cat is a rat.\nConclusions :\nI. Some rats are cats.\nII. Some dogs are rats.","stemHi":"नीचे दिए गए प्रश्न में तीन कथन दिए गए हैं जिनके बाद दो निष्कर्ष I और II दिए गए हैं। आपको दिए गए तीनों कथनों को सत्य मानना है, चाहे वे सर्वज्ञात तथ्यों से भिन्न प्रतीत होते हों, और फिर यह तय करना है कि सर्वज्ञात तथ्यों की उपेक्षा करते हुए दिए गए निष्कर्षों में से कौन-सा तीनों कथनों से तार्किक रूप से निकलता है।\nकथन :\nतीनों कथनों को सत्य मानना है, चाहे वे सर्वज्ञात तथ्यों से भिन्न प्रतीत होते हों, और फिर यह तय करना है कि सर्वज्ञात तथ्यों की उपेक्षा करते हुए दिए गए निष्कर्षों में से कौन-सा तीनों कथनों से तार्किक रूप से निकलता है।\nकथन :\nसभी कुत्ते बिल्लियाँ हैं।\nकोई बिल्ली चूहा नहीं है।\nनिष्कर्ष :\nI. कुछ चूहे बिल्लियाँ हैं।\nII. कुछ कुत्ते चूहे हैं।","context":null,"contextHi":null,"options":[{"key":"a","text":"Neither conclusion I nor II follows","textHi":"न तो निष्कर्ष I और न ही II निकलता है","imageUrl":null},{"key":"b","text":"Only conclusion I follows.","textHi":"केवल निष्कर्ष I निकलता है।","imageUrl":null},{"key":"c","text":"Both conclusions I and II follow.","textHi":"निष्कर्ष I और II दोनों निकलते हैं।","imageUrl":null},{"key":"d","text":"Only conclusion II follows.","textHi":"केवल निष्कर्ष II निकलता है।","imageUrl":null}],"correct":"a","sol":"Syllogism\n'All dogs are cats' places the whole circle of dogs inside the circle of cats.\n'No cat is a rat' keeps the circle of rats entirely separate from the circle of cats.\n $\"figure\"/$ \nConclusion I claims that some rats are cats, but the two circles never meet, so it does not follow.\nFor conclusion II, every dog lies inside cats and no cat is a rat, so no dog can be a rat either.\nSince neither conclusion follows, the answer is option (a).","solHi":"न्याय-निगमन\n'सभी कुत्ते बिल्लियाँ हैं' कुत्तों के पूरे वृत्त को बिल्लियों के वृत्त के भीतर रख देता है।\n'कोई बिल्ली चूहा नहीं है' चूहों के वृत्त को बिल्लियों के वृत्त से पूर्णतः अलग रखता है।\n $\"figure\"/$ \nनिष्कर्ष I कहता है कि कुछ चूहे बिल्लियाँ हैं, किंतु दोनों वृत्त कहीं भी नहीं मिलते, अतः यह नहीं निकलता।\nनिष्कर्ष II के लिए, प्रत्येक कुत्ता बिल्लियों के भीतर है और कोई बिल्ली चूहा नहीं है, अतः कोई कुत्ता भी चूहा नहीं हो सकता।\nचूँकि दोनों में से कोई निष्कर्ष नहीं निकलता, अतः उत्तर विकल्प (a) है।","pos":2,"neg":0.5},{"id":6939,"n":39,"subject":"General Intelligence","stem":"Carefully examine the Reference Statement. Then, identify the single option among the four alternatives (a, b, c, d) that is an EXACT AND COMPLETE REPLICATION of the Reference Statement. Pay exceptionally close attention to every character, number, symbol, space, and punctuation mark.\nReference: New Jersey, USA: November 20th, 2010.","stemHi":"संदर्भ कथन का ध्यानपूर्वक परीक्षण कीजिए। इसके बाद चार विकल्पों (a, b, c, d) में से वह एक विकल्प पहचानिए जो संदर्भ कथन की पूर्णतः यथावत प्रतिकृति है। प्रत्येक अक्षर, अंक, चिह्न, रिक्त स्थान तथा विराम-चिह्न पर अत्यंत सावधानी से ध्यान दीजिए।\nसंदर्भ: New Jersey, USA: November 20th, 2010.","context":null,"contextHi":null,"options":[{"key":"a","text":"New Jersei, USA: November 20th, 2010.","textHi":null,"imageUrl":null},{"key":"b","text":"New Jersey, USA: November 30th, 2010.","textHi":null,"imageUrl":null},{"key":"c","text":"New Jersey, USA: November 20th, 2020.","textHi":null,"imageUrl":null},{"key":"d","text":"New Jersey, USA: November 20th, 2010.","textHi":null,"imageUrl":null}],"correct":"d","sol":"Exact string matching\nRead the reference in three blocks — the place, the date and the year — and check each option block by block.\n $\"figure\"/$ \nOption (a) spells the place 'New Jersei', with an i in place of the final y.\nOption (b) changes the date from 20th to 30th, and option (c) changes the year from 2010 to 2020.\nOnly option (d) reproduces every letter, digit, space and punctuation mark of the reference, so it is the answer.","solHi":"यथावत कथन मिलान\nसंदर्भ को तीन भागों में पढ़िए — स्थान, तिथि और वर्ष — तथा प्रत्येक विकल्प की भाग-दर-भाग जाँच कीजिए।\n $\"figure\"/$ \nविकल्प (a) में स्थान की वर्तनी 'New Jersei' है, जिसमें अंतिम y के स्थान पर i है।\nविकल्प (b) में तिथि 20th से बदलकर 30th हो गई है तथा विकल्प (c) में वर्ष 2010 से बदलकर 2020 हो गया है।\nकेवल विकल्प (d) में संदर्भ का प्रत्येक अक्षर, अंक, रिक्त स्थान और विराम-चिह्न यथावत है, अतः यही उत्तर है।","pos":2,"neg":0.5},{"id":6940,"n":40,"subject":"General Intelligence","stem":"Select the letter cluster from among the given options that can replace the question mark (?) in the following series.\nYGP, DJU, IMZ,

____

SSJ","stemHi":"दिए गए विकल्पों में से वह अक्षर-समूह चुनिए जो निम्नलिखित शृंखला में प्रश्नवाचक चिह्न (?) के स्थान पर आ सकता है।\nYGP, DJU, IMZ,

____

SSJ","context":null,"contextHi":null,"options":[{"key":"a","text":"OBV","textHi":null,"imageUrl":null},{"key":"b","text":"NCV","textHi":null,"imageUrl":null},{"key":"c","text":"NPE","textHi":null,"imageUrl":null},{"key":"d","text":"NBV","textHi":null,"imageUrl":null}],"correct":"c","sol":"Letter cluster series\nTreat the three positions of the clusters as three separate letter series.\nFirst letters are Y, D, I, ?, S; each moves +5 (counting on past Z), so the missing first letter is I+5=N.\nSecond letters are G, J, M, ?, S; each moves +3, so the missing second letter is M+3=P.\nThird letters are P, U, Z, ?, J; each moves +5, so the missing third letter is Z+5=E.\n $\"figure\"/$ \nPutting the three together gives NPE, which is option (c); the other options keep N but take the wrong second or third letter.","solHi":"अक्षर-समूह शृंखला\nअक्षर-समूहों के तीनों स्थानों को तीन अलग-अलग अक्षर शृंखलाओं की तरह लीजिए।\nपहले अक्षर Y, D, I, ?, S हैं; प्रत्येक +5 बढ़ता है (Z के आगे गिनते हुए), अतः लुप्त पहला अक्षर I+5=N है।\nदूसरे अक्षर G, J, M, ?, S हैं; प्रत्येक +3 बढ़ता है, अतः लुप्त दूसरा अक्षर M+3=P है।\nतीसरे अक्षर P, U, Z, ?, J हैं; प्रत्येक +5 बढ़ता है, अतः लुप्त तीसरा अक्षर Z+5=E है।\n $\"figure\"/$ \nतीनों को मिलाने पर NPE प्राप्त होता है, जो विकल्प (c) है; शेष विकल्पों में N तो है, किंतु दूसरा या तीसरा अक्षर गलत है।","pos":2,"neg":0.5},{"id":6941,"n":41,"subject":"General Intelligence","stem":"5 persons

P, Q, R, S

and T are sitting around a circular table facing towards the centre (not necessarily in the same order). Q is sitting second to the right of S. P is sitting second to the right of

Q . R

is not an immediate neighbour of

P

. Who is sitting third to the right of

R

?","stemHi":"5 व्यक्ति

P, Q, R, S

तथा T एक वृत्ताकार मेज़ के चारों ओर केंद्र की ओर मुख करके बैठे हैं (आवश्यक नहीं कि इसी क्रम में हों)। Q, S के दाईं ओर दूसरे स्थान पर बैठा है। P,

Q . R

के दाईं ओर दूसरे स्थान पर बैठा है,

P

का निकटतम पड़ोसी नहीं है।

R

के दाईं ओर तीसरे स्थान पर कौन बैठा है?","context":null,"contextHi":null,"options":[{"key":"a","text":"Q","textHi":null,"imageUrl":null},{"key":"b","text":"P","textHi":null,"imageUrl":null},{"key":"c","text":"S","textHi":null,"imageUrl":null},{"key":"d","text":"T","textHi":null,"imageUrl":null}],"correct":"b","sol":"Circular seating arrangement\nWhen everyone faces the centre, a person's right hand points anti-clockwise, so 'to the right' means moving anti-clockwise round the table.\nFix S anywhere and count two seats anti-clockwise to place Q; two more seats anti-clockwise from Q places P.\nThe remaining two seats go to R and T, and since R may not sit next to P, R takes the seat away from P and T takes the seat beside P.\n $\"figure\"/$ \nNow count three seats to the right of R, i.e. three seats anti-clockwise: Q, then T, then P.\nSo P is sitting third to the right of R.\nHence option (b) is correct.","solHi":"वृत्ताकार बैठक व्यवस्था\nजब सभी का मुख केंद्र की ओर होता है, तब व्यक्ति का दायाँ हाथ वामावर्त दिशा की ओर होता है, अतः 'दाईं ओर' का अर्थ मेज़ के चारों ओर वामावर्त चलना है।\nS को कहीं भी स्थिर मानकर वामावर्त दो स्थान गिनकर Q को बैठाइए; Q से पुनः वामावर्त दो स्थान गिनने पर P का स्थान मिल जाता है।\nशेष दो स्थान R और T को मिलेंगे तथा चूँकि R, P के निकट नहीं बैठ सकता, अतः R वह स्थान लेगा जो P से दूर है और T, P के बगल वाला स्थान लेगा।\n $\"figure\"/$ \nअब R के दाईं ओर तीन स्थान अर्थात् वामावर्त तीन स्थान गिनिए: पहले Q, फिर T, फिर P।\nअतः R के दाईं ओर तीसरे स्थान पर P बैठा है।\nअतः सही विकल्प (b) है।","pos":2,"neg":0.5},{"id":6942,"n":42,"subject":"General Intelligence","stem":"A man is facing towards the east. He then turns 45° anti-clockwise, again 180° anti-clockwise and then

225^{\circ}

clockwise. In which direction is he facing now ?","stemHi":"एक व्यक्ति का मुख पूर्व दिशा की ओर है। वह पहले 45° वामावर्त घूमता है, फिर 180° वामावर्त और उसके बाद

225^{\circ}

दक्षिणावर्त घूमता है। अब उसका मुख किस दिशा में है?","context":null,"contextHi":null,"options":[{"key":"a","text":"West","textHi":"पश्चिम","imageUrl":null},{"key":"b","text":"North","textHi":"उत्तर","imageUrl":null},{"key":"c","text":"South","textHi":"दक्षिण","imageUrl":null},{"key":"d","text":"East","textHi":"पूर्व","imageUrl":null}],"correct":"d","sol":"$32","solHi":"$33","pos":2,"neg":0.5},{"id":6943,"n":43,"subject":"General Intelligence","stem":"Arjun starts moving in the east direction. After running 50 meters, he turns left and walks 15 meters straight. Then, from there, he turns to his left and walks 30 meters straight. He again turns 15 meters to his left. How far is he from the starting point?","stemHi":"अर्जुन पूर्व दिशा में चलना आरंभ करता है। 50 मीटर दौड़ने के बाद वह बाईं ओर मुड़कर 15 मीटर सीधा चलता है। फिर वहाँ से वह अपनी बाईं ओर मुड़कर 30 मीटर सीधा चलता है। वह पुनः अपनी बाईं ओर मुड़कर 15 मीटर चलता है। वह आरंभिक बिंदु से कितनी दूर है?","context":null,"contextHi":null,"options":[{"key":"a","text":"10 m","textHi":"10 मीटर","imageUrl":null},{"key":"b","text":"40 m","textHi":"40 मीटर","imageUrl":null},{"key":"c","text":"20 m","textHi":"20 मीटर","imageUrl":null},{"key":"d","text":"30 m","textHi":"30 मीटर","imageUrl":null}],"correct":"c","sol":"Direction sense distance\nHe starts facing east; a left turn from east gives north, the next left turn gives west and the last left turn gives south.\nSo the four legs are 50 m east, 15 m north, 30 m west and 15 m south.\n $\"figure\"/$ \nThe 15 m north and the 15 m south are equal and opposite, so they cancel and he finishes on the same east-west line as the start.\nNet eastward distance =50-30=20 m\nHence option (c) is correct.","solHi":"दिशा-ज्ञान: दूरी\nवह पूर्व की ओर मुख करके आरंभ करता है; पूर्व से बाएँ मुड़ने पर उत्तर, अगली बार बाएँ मुड़ने पर पश्चिम और अंतिम बार बाएँ मुड़ने पर दक्षिण दिशा मिलती है।\nअतः चारों चरण हैं: 50 मीटर पूर्व, 15 मीटर उत्तर, 30 मीटर पश्चिम और 15 मीटर दक्षिण।\n $\"figure\"/$ \n15 मीटर उत्तर और 15 मीटर दक्षिण बराबर तथा विपरीत हैं, अतः वे परस्पर निरस्त हो जाते हैं और वह आरंभिक बिंदु वाली पूर्व-पश्चिम रेखा पर ही पहुँचता है।\nपूर्व दिशा में कुल दूरी =50-30=20 मीटर\nअतः सही विकल्प (c) है।","pos":2,"neg":0.5},{"id":6944,"n":44,"subject":"General Intelligence","stem":"K walks 20 meters in east direction. He turns left and walks 12 meters. He turns right and walks 22 meters. He finally turns right and walks 12 meters. How far (in meters) and in which direction is he now from the starting point?","stemHi":"K पूर्व दिशा में 20 मीटर चलता है। वह बाईं ओर मुड़कर 12 मीटर चलता है। फिर वह दाईं ओर मुड़कर 22 मीटर चलता है। अंत में वह दाईं ओर मुड़कर 12 मीटर चलता है। अब वह आरंभिक बिंदु से कितनी दूर (मीटर में) तथा किस दिशा में है?","context":null,"contextHi":null,"options":[{"key":"a","text":"42, east","textHi":"42, पूर्व","imageUrl":null},{"key":"b","text":"52, east","textHi":"52, पूर्व","imageUrl":null},{"key":"c","text":"48 , west","textHi":"48, पश्चिम","imageUrl":null},{"key":"d","text":"32 , west","textHi":"32, पश्चिम","imageUrl":null}],"correct":"a","sol":"Direction sense distance\nFacing east, a left turn gives north; from north a right turn gives east again; from east the last right turn gives south.\nSo the four legs are 20 m east, 12 m north, 22 m east and 12 m south.\n $\"figure\"/$ \nThe 12 m north and the 12 m south cancel exactly, so no north-south displacement is left.\nTotal eastward distance =20+22=42 m\nHe is therefore 42 m east of the starting point.\nHence option (a) is correct.","solHi":"दिशा-ज्ञान: दूरी\nपूर्व की ओर मुख होने पर बाएँ मुड़ने से उत्तर मिलता है; उत्तर से दाएँ मुड़ने पर पुनः पूर्व और पूर्व से अंतिम बार दाएँ मुड़ने पर दक्षिण मिलता है।\nअतः चारों चरण हैं: 20 मीटर पूर्व, 12 मीटर उत्तर, 22 मीटर पूर्व और 12 मीटर दक्षिण।\n $\"figure\"/$ \n12 मीटर उत्तर और 12 मीटर दक्षिण पूर्णतः निरस्त हो जाते हैं, अतः उत्तर-दक्षिण दिशा में कोई विस्थापन शेष नहीं रहता।\nपूर्व दिशा में कुल दूरी =20+22=42 मीटर\nअतः वह आरंभिक बिंदु से 42 मीटर पूर्व में है।\nअतः सही विकल्प (a) है।","pos":2,"neg":0.5},{"id":6945,"n":45,"subject":"General Intelligence","stem":"Select the option that is related to the second number in the same way as the third number is related to the fourth number and fifth number is related to sixth number.\n(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits. E.g. 13 - Operations on 13 such as adding /subtracting /multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed)\n? : 4325 :: 23 : 143 :: 35 : 215","stemHi":"उस विकल्प का चयन कीजिए जो दूसरी संख्या से उसी प्रकार संबंधित है जिस प्रकार तीसरी संख्या चौथी संख्या से तथा पाँचवीं संख्या छठी संख्या से संबंधित है।\n(नोट: संक्रियाएँ पूर्ण संख्याओं पर की जानी चाहिए, संख्याओं को उनके अंकों में विभाजित किए बिना। जैसे 13 — 13 पर जोड़ना/घटाना/गुणा करना आदि संक्रियाएँ की जा सकती हैं। 13 को 1 और 3 में तोड़कर फिर 1 और 3 पर गणितीय संक्रियाएँ करना अनुमत नहीं है।)\n? : 4325 :: 23 : 143 :: 35 : 215","context":null,"contextHi":null,"options":[{"key":"a","text":"720","textHi":null,"imageUrl":null},{"key":"b","text":"727","textHi":null,"imageUrl":null},{"key":"c","text":"722","textHi":null,"imageUrl":null},{"key":"d","text":"712","textHi":null,"imageUrl":null}],"correct":"a","sol":"Number analogy\nLook for one rule that works on the whole number in both of the completed pairs.\n

23 \times 6 = 138

and 138+5=143\n

35 \times 6 = 210

and 210+5=215\n $\"figure\"/$ \nSo the rule is: second number = first number

\times 6 + 5

.\nLet the missing number be x, so 6x+5=4325.\n6x=4325-5=4320\n

x = \frac{4320}{6} = 720

\nHence option (a) is correct.","solHi":"संख्या सादृश्यता\nऐसा एक नियम खोजिए जो दोनों पूर्ण युग्मों में पूरी संख्या पर लागू होता हो।\n

23 \times 6 = 138

तथा 138+5=143\n

35 \times 6 = 210

तथा 210+5=215\n $\"figure\"/$ \nअतः नियम है: दूसरी संख्या = पहली संख्या

\times 6 + 5

।\nमाना कि लुप्त संख्या x है, तो 6x+5=4325।\n6x=4325-5=4320\n

x = \frac{4320}{6} = 720

\nअतः सही विकल्प (a) है।","pos":2,"neg":0.5},{"id":6946,"n":46,"subject":"General Intelligence","stem":"If '

K

' means '+', '

L

' means '-', '

M

' means '

\div

' and ' N ' means '

\times

', then which of the following equation is correct?\nI. 35 K 3 L 28 M 7 N

4 = 22

\nII. 13 K 47 L 36 M 4 N 5 =15","stemHi":"यदि '

K

' का अर्थ '+' है, '

L

' का अर्थ '-' है, '

M

' का अर्थ '

\div

' है और ' N ' का अर्थ '

\times

' है, तो निम्नलिखित में से कौन-सा समीकरण सही है?\nI. 35 K 3 L 28 M 7 N

4 = 22

\nII. 13 K 47 L 36 M 4 N 5 =15","context":null,"contextHi":null,"options":[{"key":"a","text":"Both I and II","textHi":"I और II दोनों","imageUrl":null},{"key":"b","text":"Neither I nor II","textHi":"न तो I और न ही II","imageUrl":null},{"key":"c","text":"Only I","textHi":"केवल I","imageUrl":null},{"key":"d","text":"Only II","textHi":"केवल II","imageUrl":null}],"correct":"a","sol":"$34","solHi":"$35","pos":2,"neg":0.5},{"id":6947,"n":47,"subject":"General Intelligence","stem":"In a certain code language, 'HAND' is coded as '81144', 'LEGS' is coded as '125719'. How will 'CHAIR' be coded in that code language?","stemHi":"एक निश्चित कूट भाषा में 'HAND' को '81144' के रूप में कूटबद्ध किया जाता है तथा 'LEGS' को '125719' के रूप में। उसी कूट भाषा में 'CHAIR' को किस प्रकार कूटबद्ध किया जाएगा?","context":null,"contextHi":null,"options":[{"key":"a","text":"381917","textHi":null,"imageUrl":null},{"key":"b","text":"371918","textHi":null,"imageUrl":null},{"key":"c","text":"381918","textHi":null,"imageUrl":null},{"key":"d","text":"371818","textHi":null,"imageUrl":null}],"correct":"c","sol":"Letter-place-value coding\nEach letter is simply replaced by its position number in the alphabet and the numbers are written one after another without any gap.\nHAND: H is 8, A is 1, N is 14, D is 4, and joining them gives 81144.\nLEGS: L is 12, E is 5, G is 7, S is 19, and joining them gives 125719.\n $\"figure\"/$ \nCHAIR: C is 3, H is 8, A is 1, I is 9, R is 18.\nJoining these gives 381918.\nHence option (c) is correct.","solHi":"अक्षर स्थान-मान कूट\nप्रत्येक अक्षर को केवल वर्णमाला में उसके स्थान-मान से बदल दिया जाता है और संख्याओं को बिना किसी अंतराल के एक के बाद एक लिख दिया जाता है।\nHAND: H का मान 8, A का 1, N का 14 तथा D का 4 है, इन्हें मिलाने पर 81144 प्राप्त होता है।\nLEGS: L का मान 12, E का 5, G का 7 तथा S का 19 है, इन्हें मिलाने पर 125719 प्राप्त होता है।\n $\"figure\"/$ \nCHAIR: C का मान 3, H का 8, A का 1, I का 9 तथा R का 18 है।\nइन्हें मिलाने पर 381918 प्राप्त होता है।\nअतः सही विकल्प (c) है।","pos":2,"neg":0.5},{"id":6948,"n":48,"subject":"General Intelligence","stem":"In a certain coded language 'SHAPES' is coded as 'HSZKVH' and 'BATTER' is coded as 'YZGGVI'. How will 'MENTOR' be coded in the same code language?","stemHi":"एक निश्चित कूट भाषा में 'SHAPES' को 'HSZKVH' के रूप में कूटबद्ध किया जाता है तथा 'BATTER' को 'YZGGVI' के रूप में। उसी कूट भाषा में 'MENTOR' को किस प्रकार कूटबद्ध किया जाएगा?","context":null,"contextHi":null,"options":[{"key":"a","text":"NVMKLI","textHi":null,"imageUrl":null},{"key":"b","text":"NKKGLI","textHi":null,"imageUrl":null},{"key":"c","text":"NVMGLI","textHi":null,"imageUrl":null},{"key":"d","text":"NMVGLI","textHi":null,"imageUrl":null}],"correct":"c","sol":"Opposite-letter coding\nEvery letter is replaced by its opposite letter in the alphabet: A becomes Z, B becomes Y, C becomes X and so on.\nThe test is that the two positions always add up to 27, since 1+26=27.\nCheck SHAPES: S is 19 and 27-19=8, which is H; A is 1 and 27-1=26, which is Z, so HSZKVH fits.\n $\"figure\"/$ \nApply it to MENTOR: M(13) gives N(14), E(5) gives V(22), N(14) gives M(13), T(20) gives G(7), O(15) gives L(12) and R(18) gives I(9).\nThe code is therefore NVMGLI.\nHence option (c) is correct.","solHi":"विपरीत अक्षर कूट\nप्रत्येक अक्षर को वर्णमाला में उसके विपरीत अक्षर से बदल दिया जाता है: A का Z, B का Y, C का X और इसी प्रकार आगे।\nपहचान यह है कि दोनों स्थान-मानों का योग सदैव 27 होता है, क्योंकि 1+26=27।\nSHAPES की जाँच: S का मान 19 है और 27-19=8 अर्थात् H; A का मान 1 है और 27-1=26 अर्थात् Z, अतः HSZKVH सही बैठता है।\n $\"figure\"/$ \nइसे MENTOR पर लागू कीजिए: M(13) से N(14), E(5) से V(22), N(14) से M(13), T(20) से G(7), O(15) से L(12) तथा R(18) से I(9)।\nअतः कूट NVMGLI बनता है।\nअतः सही विकल्प (c) है।","pos":2,"neg":0.5},{"id":6949,"n":49,"subject":"General Intelligence","stem":"In a certain coded language 'ANIMAL' is coded as 'CKMHGE' and 'ENERGY' is coded as 'GKIMMR'. How will 'ASPIRE' be coded in the same code language?","stemHi":"एक निश्चित कूट भाषा में 'ANIMAL' को 'CKMHGE' के रूप में कूटबद्ध किया जाता है तथा 'ENERGY' को 'GKIMMR' के रूप में। उसी कूट भाषा में 'ASPIRE' को किस प्रकार कूटबद्ध किया जाएगा?","context":null,"contextHi":null,"options":[{"key":"a","text":"CPTDXX","textHi":null,"imageUrl":null},{"key":"b","text":"CPTDXY","textHi":null,"imageUrl":null},{"key":"c","text":"CTPDYX","textHi":null,"imageUrl":null},{"key":"d","text":"CPTXDY","textHi":null,"imageUrl":null}],"correct":"a","sol":"Alternating letter shifts\nCompare the letters position by position instead of looking at the word as a whole.\nANIMAL to CKMHGE: A to C is +2, N to K is -3, I to M is +4, M to H is -5, A to G is +6 and L to E is -7.\nENERGY to GKIMMR obeys the very same list +2,-3,+4,-5,+6,-7, so the pattern is confirmed.\n $\"figure\"/$ \nASPIRE: A+2=C, S-3=P, P+4=T, I-5=D, R+6=X.\nFor the last letter, E(5)-7 goes past the start of the alphabet, so it wraps round to 26-2=24, which is X.\nThe code is therefore CPTDXX.\nHence option (a) is correct.","solHi":"क्रमिक अक्षर विस्थापन कूट\nशब्द को समग्र रूप से देखने के बजाय अक्षरों की तुलना स्थान-दर-स्थान कीजिए।\nANIMAL से CKMHGE: A से C में +2, N से K में -3, I से M में +4, M से H में -5, A से G में +6 तथा L से E में -7 का विस्थापन है।\nENERGY से GKIMMR में भी ठीक यही क्रम +2,-3,+4,-5,+6,-7 लागू होता है, अतः नियम की पुष्टि हो जाती है।\n $\"figure\"/$ \nASPIRE: A+2=C, S-3=P, P+4=T, I-5=D, R+6=X।\nअंतिम अक्षर के लिए E(5)-7 वर्णमाला के आरंभ से पीछे चला जाता है, अतः यह चक्रीय रूप से 26-2=24 अर्थात् X बन जाता है।\nअतः कूट CPTDXX बनता है।\nअतः सही विकल्प (a) है।","pos":2,"neg":0.5},{"id":6950,"n":50,"subject":"General Intelligence","stem":"From the given alternatives, select the word that CAN be formed by using the letters of the word given in the question.\nHOSTILITY","stemHi":"दिए गए विकल्पों में से उस शब्द का चयन कीजिए जो प्रश्न में दिए गए शब्द के अक्षरों का प्रयोग करके बनाया जा सकता है।\nHOSTILITY","context":null,"contextHi":null,"options":[{"key":"a","text":"HASTY","textHi":null,"imageUrl":null},{"key":"b","text":"POINT","textHi":null,"imageUrl":null},{"key":"c","text":"HOST","textHi":null,"imageUrl":null},{"key":"d","text":"HOTEL","textHi":null,"imageUrl":null}],"correct":"c","sol":"Word formation from letters\nThe letters available in HOSTILITY are H, O, S, T, I, L, I, T, Y.\nTake each option and look for a letter that the pool does not contain.\n $\"figure\"/$ \nHASTY needs an A, POINT needs a P and an N, and HOTEL needs an E, none of which is available.\nHOST needs only H, O, S and T, and all four are present in HOSTILITY.\nHence option (c) is correct.","solHi":"अक्षरों से शब्द निर्माण\nHOSTILITY में उपलब्ध अक्षर हैं: H, O, S, T, I, L, I, T, Y।\nप्रत्येक विकल्प लीजिए और ऐसा अक्षर खोजिए जो इस समूह में उपलब्ध न हो।\n $\"figure\"/$ \nHASTY के लिए A, POINT के लिए P तथा N, और HOTEL के लिए E आवश्यक है, जिनमें से कोई भी उपलब्ध नहीं है।\nHOST के लिए केवल H, O, S और T चाहिए तथा ये चारों HOSTILITY में मौजूद हैं।\nअतः सही विकल्प (c) है।","pos":2,"neg":0.5},{"id":6951,"n":51,"subject":"Quantitative Aptitude","stem":"Find the value of

(\sqrt{3} + \sqrt{2}) (\sqrt{3} - \sqrt{2})

","stemHi":"

(\sqrt{3} + \sqrt{2}) (\sqrt{3} - \sqrt{2})

का मान ज्ञात कीजिए।","context":null,"contextHi":null,"options":[{"key":"a","text":"2","textHi":null,"imageUrl":null},{"key":"b","text":"1","textHi":null,"imageUrl":null},{"key":"c","text":"

\sqrt{2}

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

3 \sqrt{2}

","textHi":null,"imageUrl":null}],"correct":"b","sol":"$36","solHi":"$37","pos":2,"neg":0.5},{"id":6952,"n":52,"subject":"Quantitative Aptitude","stem":"If

a = 2 + \sqrt{5}, b = 2 - \sqrt{5}

, Find the value of

(a^{2} + b^{2})

","stemHi":"यदि

a = 2 + \sqrt{5}, b = 2 - \sqrt{5}

है, तो

(a^{2} + b^{2})

का मान ज्ञात कीजिए।","context":null,"contextHi":null,"options":[{"key":"a","text":"16","textHi":null,"imageUrl":null},{"key":"b","text":"15","textHi":null,"imageUrl":null},{"key":"c","text":"17","textHi":null,"imageUrl":null},{"key":"d","text":"18","textHi":null,"imageUrl":null}],"correct":"d","sol":"$38","solHi":"$39","pos":2,"neg":0.5},{"id":6953,"n":53,"subject":"Quantitative Aptitude","stem":"P and Q started a business with

₹ 14000

and

₹ 20000

. Q left after 3 months. Find their profit ratio after 1 year.","stemHi":"P और Q ने

₹ 14000

तथा

₹ 20000

से एक व्यवसाय आरंभ किया। Q 3 महीने बाद व्यवसाय छोड़ देता है। 1 वर्ष बाद उनके लाभ का अनुपात ज्ञात कीजिए।","context":null,"contextHi":null,"options":[{"key":"a","text":"

14 : 9

","textHi":null,"imageUrl":null},{"key":"b","text":"14 : 5","textHi":null,"imageUrl":null},{"key":"c","text":"9 : 14","textHi":null,"imageUrl":null},{"key":"d","text":"14 : 3","textHi":null,"imageUrl":null}],"correct":"b","sol":"Partnership profit ratio\nIn a partnership the profit is divided in the ratio of capital multiplied by the time for which it stayed in the business.\nP keeps ₹14,000 for the whole year:

14000 \times 12 = 168000

\nQ keeps ₹20,000 for only 3 months:

20000 \times 3 = 60000

\n $\"figure\"/$ \nProfit ratio =168000:60000=168:60\nDividing both parts by 12 gives 14:5.\nHence option (b) is correct.","solHi":"साझेदारी में लाभ का अनुपात\nसाझेदारी में लाभ का बँटवारा पूँजी और उसके व्यवसाय में लगे रहने के समय के गुणनफल के अनुपात में होता है।\nP की ₹14,000 पूरे वर्ष लगी रहती है:

14000 \times 12 = 168000

\nQ की ₹20,000 केवल 3 महीने लगी रहती है:

20000 \times 3 = 60000

\n $\"figure\"/$ \nलाभ का अनुपात =168000:60000=168:60\nदोनों पदों को 12 से भाग देने पर 14:5 प्राप्त होता है।\nअतः सही विकल्प (b) है।","pos":2,"neg":0.5},{"id":6954,"n":54,"subject":"Quantitative Aptitude","stem":"The ratio of the ages of

P

and

Q

5 : 7

. After 6 years, the ratio becomes 7 :\n9. What is P 's present age?","stemHi":"

P

और

Q

की आयु का अनुपात

5 : 7

है। 6 वर्ष बाद यह अनुपात 7 :\n9 हो जाता है। P की वर्तमान आयु क्या है?","context":null,"contextHi":null,"options":[{"key":"a","text":"18","textHi":null,"imageUrl":null},{"key":"b","text":"15","textHi":null,"imageUrl":null},{"key":"c","text":"12","textHi":null,"imageUrl":null},{"key":"d","text":"20","textHi":null,"imageUrl":null}],"correct":"b","sol":"Ratio of ages\nLet the present ages of P and Q be 5x and 7x years.\nAfter 6 years the ages are 5x+6 and 7x+6, and their ratio is 7:9.\n

\frac{5 x + 6}{7 x + 6} = \frac{7}{9}

\n9(5x+6)=7(7x+6)\n45x+54=49x+42\n

49 x - 45 x = 54 - 42 \Rightarrow 4 x = 12 \Rightarrow x = 3

\nP's present age

= 5 x = 5 \times 3 = 15

years.\nHence option (b) is correct.","solHi":"आयु का अनुपात\nमाना कि P और Q की वर्तमान आयु क्रमशः 5x तथा 7x वर्ष है।\n6 वर्ष बाद आयु 5x+6 तथा 7x+6 होगी और इनका अनुपात 7:9 है।\n

\frac{5 x + 6}{7 x + 6} = \frac{7}{9}

\n9(5x+6)=7(7x+6)\n45x+54=49x+42\n

49 x - 45 x = 54 - 42 \Rightarrow 4 x = 12 \Rightarrow x = 3

\nP की वर्तमान आयु

= 5 x = 5 \times 3 = 15

वर्ष।\nअतः सही विकल्प (b) है।","pos":2,"neg":0.5},{"id":6955,"n":55,"subject":"Quantitative Aptitude","stem":"The average of

4, 6, 8

is increased by 4 . What is the new average?","stemHi":"

4, 6, 8

का औसत 4 बढ़ा दिया जाता है। नया औसत क्या है?","context":null,"contextHi":null,"options":[{"key":"a","text":"18","textHi":null,"imageUrl":null},{"key":"b","text":"14","textHi":null,"imageUrl":null},{"key":"c","text":"10","textHi":null,"imageUrl":null},{"key":"d","text":"12","textHi":null,"imageUrl":null}],"correct":"c","sol":"Average of numbers\nThe average is the sum of the numbers divided by how many numbers there are.\nAverage

= \frac{4 + 6 + 8}{3} = \frac{18}{3} = 6

\nThis average is then increased by 4, so the new average =6+4=10.\nHence option (c) is correct.","solHi":"संख्याओं का औसत\nऔसत संख्याओं के योग में संख्याओं की गिनती का भाग देने पर प्राप्त होता है।\nऔसत

= \frac{4 + 6 + 8}{3} = \frac{18}{3} = 6

\nइस औसत में 4 की वृद्धि की जाती है, अतः नया औसत =6+4=10।\nअतः सही विकल्प (c) है।","pos":2,"neg":0.5},{"id":6956,"n":56,"subject":"Quantitative Aptitude","stem":"A price drops from Rs. 300 to Rs. 250. What is the percentage decrease?","stemHi":"एक मूल्य Rs. 300 से घटकर Rs. 250 हो जाता है। प्रतिशत कमी क्या है?","context":null,"contextHi":null,"options":[{"key":"a","text":"13.33%","textHi":null,"imageUrl":null},{"key":"b","text":"14.28%","textHi":null,"imageUrl":null},{"key":"c","text":"12.5%","textHi":null,"imageUrl":null},{"key":"d","text":"

16.67 %

","textHi":null,"imageUrl":null}],"correct":"d","sol":"Percentage decrease\nA percentage change is always taken on the ORIGINAL value, which here is Rs. 300.\nDecrease =300-250=50\nPercentage decrease

= \frac{50}{300} \times 100

= \frac{50}{3} = 16.67 %

\nHence option (d) is correct.","solHi":"प्रतिशत कमी\nप्रतिशत परिवर्तन सदैव मूल मान पर लिया जाता है, जो यहाँ Rs. 300 है।\nकमी =300-250=50\nप्रतिशत कमी

= \frac{50}{300} \times 100

= \frac{50}{3} = 16.67 %

\nअतः सही विकल्प (d) है।","pos":2,"neg":0.5},{"id":6957,"n":57,"subject":"Quantitative Aptitude","stem":"P's income is 30% less than Q's. By what percent is Q's income more than

P^{'}

s?","stemHi":"P की आय Q की आय से 30% कम है। Q की आय

P^{'}

s की आय से कितने प्रतिशत अधिक है?","context":null,"contextHi":null,"options":[{"key":"a","text":"33.33%","textHi":null,"imageUrl":null},{"key":"b","text":"

40 %

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

42.85 %

","textHi":null,"imageUrl":null},{"key":"d","text":"30%","textHi":null,"imageUrl":null}],"correct":"c","sol":"Percentage more or less\nThe two comparisons use different bases, so fix the larger income first.\nLet Q's income be 100 units; P's income is 30% less, so P =100-30=70 units.\nQ exceeds P by 100-70=30 units, and this excess must now be compared with P's 70 units.\nRequired percentage

= \frac{30}{70} \times 100

= \frac{300}{7} = 42.85 %

\nHence option (c) is correct.","solHi":"प्रतिशत अधिक या कम\nदोनों तुलनाओं का आधार अलग-अलग है, अतः पहले बड़ी आय को स्थिर कीजिए।\nमाना कि Q की आय 100 इकाई है; P की आय 30% कम है, अतः P =100-30=70 इकाई।\nQ, P से 100-70=30 इकाई अधिक है और अब इस अधिकता की तुलना P की 70 इकाई से करनी है।\nअभीष्ट प्रतिशत

= \frac{30}{70} \times 100

= \frac{300}{7} = 42.85 %

\nअतः सही विकल्प (c) है।","pos":2,"neg":0.5},{"id":6958,"n":58,"subject":"Quantitative Aptitude","stem":"A man bought shoes for ₹1200 and sold it at a loss of 15%. What is the selling price?","stemHi":"एक व्यक्ति ने ₹1200 में जूते खरीदे और उन्हें 15% की हानि पर बेच दिया। विक्रय मूल्य क्या है?","context":null,"contextHi":null,"options":[{"key":"a","text":"₹1200","textHi":null,"imageUrl":null},{"key":"b","text":"₹1000","textHi":null,"imageUrl":null},{"key":"c","text":"₹1020","textHi":null,"imageUrl":null},{"key":"d","text":"₹1050","textHi":null,"imageUrl":null}],"correct":"c","sol":"Selling price at a loss\nWhen there is a loss,

S P = C P \times \frac{100 - loss %}{100}

.\n

S P = 1200 \times \frac{100 - 15}{100}

= 1200 \times \frac{85}{100} = 12 \times 85

\n=1020\nSo the shoes were sold for ₹1,020.\nHence option (c) is correct.","solHi":"हानि पर विक्रय मूल्य\nहानि की स्थिति में

S P = C P \times \frac{100 - loss %}{100}

होता है।\n

S P = 1200 \times \frac{100 - 15}{100}

= 1200 \times \frac{85}{100} = 12 \times 85

\n=1020\nअतः जूते ₹1,020 में बेचे गए।\nअतः सही विकल्प (c) है।","pos":2,"neg":0.5},{"id":6959,"n":59,"subject":"Quantitative Aptitude","stem":"A person sells two products for ₹800 each. He makes a 25% profit on one and incurs a 25% loss on the other. What is his net gain or loss on the whole transaction?","stemHi":"एक व्यक्ति दो वस्तुएँ ₹800 प्रत्येक में बेचता है। एक पर उसे 25% लाभ होता है और दूसरी पर 25% हानि होती है। पूरे सौदे में उसका कुल लाभ या हानि क्या है?","context":null,"contextHi":null,"options":[{"key":"a","text":"6.25% loss","textHi":"6.25% हानि","imageUrl":null},{"key":"b","text":"6.25% gain","textHi":"6.25% लाभ","imageUrl":null},{"key":"c","text":"No profit no loss","textHi":"न लाभ न हानि","imageUrl":null},{"key":"d","text":"4% gain","textHi":"4% लाभ","imageUrl":null}],"correct":"a","sol":"$3a","solHi":"$3b","pos":2,"neg":0.5},{"id":6960,"n":60,"subject":"Quantitative Aptitude","stem":"An article marked at Rs. 1800 is sold for Rs. 1260. Find the discount percentage.","stemHi":"Rs. 1800 अंकित मूल्य वाली एक वस्तु Rs. 1260 में बेची जाती है। छूट प्रतिशत ज्ञात कीजिए।","context":null,"contextHi":null,"options":[{"key":"a","text":"24%","textHi":null,"imageUrl":null},{"key":"b","text":"30%","textHi":null,"imageUrl":null},{"key":"c","text":"35%","textHi":null,"imageUrl":null},{"key":"d","text":"34%","textHi":null,"imageUrl":null}],"correct":"b","sol":"Discount percentage\nDiscount is always calculated on the marked price, not on the selling price.\nDiscount =1800-1260=540\nDiscount

% = \frac{540}{1800} \times 100

= \frac{3}{10} \times 100 = 30 %

\nHence option (b) is correct.","solHi":"छूट प्रतिशत\nछूट की गणना सदैव अंकित मूल्य पर की जाती है, विक्रय मूल्य पर नहीं।\nछूट =1800-1260=540\nछूट

% = \frac{540}{1800} \times 100

= \frac{3}{10} \times 100 = 30 %

\nअतः सही विकल्प (b) है।","pos":2,"neg":0.5},{"id":6961,"n":61,"subject":"Quantitative Aptitude","stem":"64 liters of a mixture contains juice and water in the ratio 5 : 3. How much juice must be added to make the ratio 7 : 1?","stemHi":"64 लीटर मिश्रण में जूस और पानी 5 : 3 के अनुपात में हैं। अनुपात को 7 : 1 करने के लिए कितना जूस और मिलाया जाना चाहिए?","context":null,"contextHi":null,"options":[{"key":"a","text":"124 L","textHi":"124 लीटर","imageUrl":null},{"key":"b","text":"120 L","textHi":"120 लीटर","imageUrl":null},{"key":"c","text":"112 L","textHi":"112 लीटर","imageUrl":null},{"key":"d","text":"128 L","textHi":"128 लीटर","imageUrl":null}],"correct":"d","sol":"$3c","solHi":"$3d","pos":2,"neg":0.5},{"id":6962,"n":62,"subject":"Quantitative Aptitude","stem":"Find the ratio of the volume of a cylinder to the volume of a cone having the same base radius and same height.","stemHi":"समान आधार त्रिज्या तथा समान ऊँचाई वाले एक बेलन के आयतन और एक शंकु के आयतन का अनुपात ज्ञात कीजिए।","context":null,"contextHi":null,"options":[{"key":"a","text":"

(1 : 2)

","textHi":null,"imageUrl":null},{"key":"b","text":"(3 : 1)","textHi":null,"imageUrl":null},{"key":"c","text":"

(1 : 3)

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

(3 : 4)

","textHi":null,"imageUrl":null}],"correct":"b","sol":"$3e","solHi":"$3f","pos":2,"neg":0.5},{"id":6963,"n":63,"subject":"Quantitative Aptitude","stem":"A regular hexagon is paved inside a circular traffic junction. What is the sum of all internal angles?","stemHi":"एक वृत्ताकार यातायात जंक्शन के अंदर एक सम षट्भुज बनाया गया है। इसके सभी आंतरिक कोणों का योग कितना है?","context":null,"contextHi":null,"options":[{"key":"a","text":"1020°","textHi":null,"imageUrl":null},{"key":"b","text":"

720^{\circ}

","textHi":null,"imageUrl":null},{"key":"c","text":"1280°","textHi":null,"imageUrl":null},{"key":"d","text":"1360°","textHi":null,"imageUrl":null}],"correct":"b","sol":"$40","solHi":"$41","pos":2,"neg":0.5},{"id":6964,"n":64,"subject":"Quantitative Aptitude","stem":"In a smart traffic signal system, signal units are arranged in a regular octagon. Find the measure of each interior angle.","stemHi":"एक स्मार्ट ट्रैफिक सिग्नल प्रणाली में सिग्नल इकाइयाँ एक सम अष्टभुज के रूप में व्यवस्थित हैं। प्रत्येक आंतरिक कोण का माप ज्ञात कीजिए।","context":null,"contextHi":null,"options":[{"key":"a","text":"135°","textHi":null,"imageUrl":null},{"key":"b","text":"105°","textHi":null,"imageUrl":null},{"key":"c","text":"130*","textHi":null,"imageUrl":null},{"key":"d","text":"120°","textHi":null,"imageUrl":null}],"correct":"a","sol":"$42","solHi":"$43","pos":2,"neg":0.5},{"id":6965,"n":65,"subject":"Quantitative Aptitude","stem":"A solid cylinder of height 21 cm and base radius 4 cm is melted and recast into small hemispherical balls of radius 2 cm .How many balls are formed?","stemHi":"21 सेमी ऊँचाई और 4 सेमी आधार त्रिज्या वाले एक ठोस बेलन को पिघलाकर 2 सेमी त्रिज्या वाली छोटी अर्धगोलाकार गेंदों में ढाला जाता है। कितनी गेंदें बनती हैं?","context":null,"contextHi":null,"options":[{"key":"a","text":"21","textHi":null,"imageUrl":null},{"key":"b","text":"42","textHi":null,"imageUrl":null},{"key":"c","text":"63","textHi":null,"imageUrl":null},{"key":"d","text":"84","textHi":null,"imageUrl":null}],"correct":"c","sol":"$44","solHi":"$45","pos":2,"neg":0.5},{"id":6966,"n":66,"subject":"Quantitative Aptitude","stem":"A cylindrical water storage drum of radius 10 cm and height 18 cm needs to be wrapped with a sheet.What is the area of the sheet if it covers the lateral surface only?","stemHi":"10 सेमी त्रिज्या और 18 सेमी ऊँचाई वाले एक बेलनाकार जल भंडारण ड्रम को एक शीट से लपेटा जाना है। यदि शीट केवल पार्श्व पृष्ठ को ढकती है, तो शीट का क्षेत्रफल कितना है?","context":null,"contextHi":null,"options":[{"key":"a","text":"

180 π {cm}^{2}

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

360 π {cm}^{2}

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

150 π {cm}^{2}

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

300 π {cm}^{2}

","textHi":null,"imageUrl":null}],"correct":"b","sol":"Curved surface of cylinder\nOnly the curved (lateral) face is wrapped, so the two circular ends are not counted.\nCut the curved face along a vertical line and unroll it: it becomes a rectangle of length

2 π r

and breadth h.\n $\"figure\"/$ \nLateral surface area

= 2 π r h = 2 \times π \times 10 \times 18

= 360 π

cm²\nHence option (b) is correct.","solHi":"बेलन का वक्र पृष्ठ\nकेवल वक्र (पार्श्व) पृष्ठ को लपेटा जाता है, अतः दोनों वृत्ताकार सिरे नहीं गिने जाते।\nवक्र पृष्ठ को एक ऊर्ध्वाधर रेखा के अनुदिश काटकर खोलने पर वह

2 π r

लंबाई तथा h चौड़ाई वाला आयत बन जाता है।\n $\"figure\"/$ \nपार्श्व पृष्ठीय क्षेत्रफल

= 2 π r h = 2 \times π \times 10 \times 18

= 360 π

सेमी²\nअतः सही विकल्प (b) है।","pos":2,"neg":0.5},{"id":6967,"n":67,"subject":"Quantitative Aptitude","stem":"A roof made of sheet metal is in the form of a right triangular prism. Only the top triangular face and the three rectangular side faces are to be painted. The triangular base has sides 5

cm, 12 cm

, and 13 cm , and the length of the prism is 10 cm .Find the total area to be painted.","stemHi":"धातु की चादर से बनी एक छत एक लंब त्रिभुजाकार प्रिज़्म के आकार की है। केवल ऊपरी त्रिभुजाकार फलक तथा तीनों आयताकार पार्श्व फलकों को रंगा जाना है। त्रिभुजाकार आधार की भुजाएँ 5

cm, 12 cm

, और 13 सेमी हैं तथा प्रिज़्म की लंबाई 10 सेमी है। रंगे जाने वाले कुल क्षेत्रफल की गणना कीजिए।","context":null,"contextHi":null,"options":[{"key":"a","text":"

350 {cm}^{2}

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

308 {cm}^{2}

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

310 {cm}^{2}

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

330 {cm}^{2}

","textHi":null,"imageUrl":null}],"correct":"d","sol":"$46","solHi":"$47","pos":2,"neg":0.5},{"id":6968,"n":68,"subject":"Quantitative Aptitude","stem":"A hemispherical tank at a water purification plant holds

144 π

cubic meters of treated water. What is the radius of the tank?","stemHi":"एक जल शोधन संयंत्र में स्थित एक अर्धगोलाकार टैंक में

144 π

घन मीटर शोधित जल आता है। टैंक की त्रिज्या कितनी है?","context":null,"contextHi":null,"options":[{"key":"a","text":"6 m","textHi":"6 मीटर","imageUrl":null},{"key":"b","text":"3 m","textHi":"3 मीटर","imageUrl":null},{"key":"c","text":"5 m","textHi":"5 मीटर","imageUrl":null},{"key":"d","text":"2 m","textHi":"2 मीटर","imageUrl":null}],"correct":"a","sol":"$48","solHi":"$49","pos":2,"neg":0.5},{"id":6969,"n":69,"subject":"Quantitative Aptitude","stem":"A player's average score across several rounds is

7.18181818 \dots

, where "18" repeats.What is this recurring decimal written as a simplified fraction?","stemHi":"कई राउंड में एक खिलाड़ी का औसत स्कोर

7.18181818 \dots

है, जिसमें "18" की पुनरावृत्ति होती है। इस आवर्ती दशमलव को सरलतम भिन्न के रूप में लिखने पर क्या प्राप्त होगा?","context":null,"contextHi":null,"options":[{"key":"a","text":"

\frac{11}{79}

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

\frac{89}{11}

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

\frac{79}{11}

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

\frac{99}{79}

","textHi":null,"imageUrl":null}],"correct":"c","sol":"$4a","solHi":"$4b","pos":2,"neg":0.5},{"id":6970,"n":70,"subject":"Quantitative Aptitude","stem":"$4c","stemHi":"$4d","context":null,"contextHi":null,"options":[{"key":"a","text":"

\frac{6}{25}

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

\frac{9}{25}

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

\frac{25}{9}

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

\frac{7}{25}

","textHi":null,"imageUrl":null}],"correct":"b","sol":"$4e","solHi":"$4f","pos":2,"neg":0.5},{"id":6971,"n":71,"subject":"Quantitative Aptitude","stem":"The number of perfect square numbers between 30 and 900 is ?","stemHi":"30 और 900 के बीच पूर्ण वर्ग संख्याओं की संख्या कितनी है?","context":null,"contextHi":null,"options":[{"key":"a","text":"22","textHi":null,"imageUrl":null},{"key":"b","text":"20","textHi":null,"imageUrl":null},{"key":"c","text":"24","textHi":null,"imageUrl":null},{"key":"d","text":"23","textHi":null,"imageUrl":null}],"correct":"c","sol":"$50","solHi":"$51","pos":2,"neg":0.5},{"id":6972,"n":72,"subject":"Quantitative Aptitude","stem":"A woman invests ₹8,000 in a savings account that pays a simple interest rate of

5 %

per annum. What will be the total amount in his account after 4 years?","stemHi":"एक महिला एक बचत खाते में ₹8,000 निवेश करती है, जिस पर

5 %

वार्षिक की दर से साधारण ब्याज मिलता है। 4 वर्ष बाद उसके खाते में कुल कितनी राशि होगी?","context":null,"contextHi":null,"options":[{"key":"a","text":"₹9,600","textHi":null,"imageUrl":null},{"key":"b","text":"₹8,400","textHi":null,"imageUrl":null},{"key":"c","text":"₹9,000","textHi":null,"imageUrl":null},{"key":"d","text":"₹6,400","textHi":null,"imageUrl":null}],"correct":"a","sol":"Simple interest\nSimple interest

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

, where P=8000, R=5 and T=4.\n

S I = \frac{8000 \times 5 \times 4}{100}

= \frac{160000}{100} = 1600

\nAmount = principal + interest = ₹8,000 + ₹1,600\n= ₹9,600\nHence option (a) is correct.","solHi":"साधारण ब्याज\nसाधारण ब्याज

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

, जहाँ P=8000, R=5 तथा T=4।\n

S I = \frac{8000 \times 5 \times 4}{100}

= \frac{160000}{100} = 1600

\nमिश्रधन = मूलधन + ब्याज = ₹8,000 + ₹1,600\n= ₹9,600\nअतः सही विकल्प (a) है।","pos":2,"neg":0.5},{"id":6973,"n":73,"subject":"Quantitative Aptitude","stem":"What is the simplified value of the expression

\frac{(545 \times 545 \times 545 + 315 \times 315 \times 315)}{(545 \times 545 - 545 \times 315 + 315 \times 315)}

?","stemHi":"व्यंजक

\frac{(545 \times 545 \times 545 + 315 \times 315 \times 315)}{(545 \times 545 - 545 \times 315 + 315 \times 315)}

का सरलीकृत मान क्या है?","context":null,"contextHi":null,"options":[{"key":"a","text":"860","textHi":null,"imageUrl":null},{"key":"b","text":"840","textHi":null,"imageUrl":null},{"key":"c","text":"865","textHi":null,"imageUrl":null},{"key":"d","text":"1,000","textHi":null,"imageUrl":null}],"correct":"a","sol":"$52","solHi":"$53","pos":2,"neg":0.5},{"id":6974,"n":74,"subject":"Quantitative Aptitude","stem":"Calculate the sum of the series:

1 + 2 + 3 + \dots + 30 + 31 + 30 + \dots + 3 + 2 + 1

","stemHi":"शृंखला का योग ज्ञात कीजिए:

1 + 2 + 3 + \dots + 30 + 31 + 30 + \dots + 3 + 2 + 1

","context":null,"contextHi":null,"options":[{"key":"a","text":"841","textHi":null,"imageUrl":null},{"key":"b","text":"961","textHi":null,"imageUrl":null},{"key":"c","text":"729","textHi":null,"imageUrl":null},{"key":"d","text":"529","textHi":null,"imageUrl":null}],"correct":"b","sol":"$54","solHi":"$55","pos":2,"neg":0.5},{"id":6975,"n":75,"subject":"Quantitative Aptitude","stem":"Simplify:

\frac{1 + \sin (x)}{\cos (x)}

","stemHi":"सरल कीजिए:

\frac{1 + \sin (x)}{\cos (x)}

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

\sec (x) + \cot (x)

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

\sec (x) + \tan (x)

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

\tan (x)

","textHi":null,"imageUrl":null},{"key":"d","text":"2","textHi":null,"imageUrl":null}],"correct":"b","sol":"$56","solHi":"$57","pos":2,"neg":0.5},{"id":6976,"n":76,"subject":"General Awareness","stem":"Who was elected as the President of the Paralympic Committee of India (PCI) in March 2024 ?","stemHi":"मार्च 2024 में भारतीय पैरालंपिक समिति (PCI) के अध्यक्ष के रूप में किसे निर्वाचित किया गया?","context":null,"contextHi":null,"options":[{"key":"a","text":"Devendra Jhajharia","textHi":null,"imageUrl":null},{"key":"b","text":"Abhinav Bindra","textHi":null,"imageUrl":null},{"key":"c","text":"Deepa Malik","textHi":null,"imageUrl":null},{"key":"d","text":"Neeraj Chopra","textHi":null,"imageUrl":null}],"correct":"a","sol":"Sports administration\nDevendra Jhajharia was elected unopposed as President of the Paralympic Committee of India (PCI) in March 2024.\nHe is India's first para-athlete to win two Paralympic golds in javelin - Athens 2004 and Rio 2016 - and added a silver at Tokyo 2020.\nHe received the Khel Ratna in 2004 and the Padma Bhushan in 2022.\nDeepa Malik was the outgoing PCI president, while Abhinav Bindra and Neeraj Chopra are Olympic (not Paralympic) champions.\nHence option (a) is correct.","solHi":"खेल प्रशासन\nमार्च 2024 में देवेंद्र झाझरिया (Devendra Jhajharia) निर्विरोध रूप से भारतीय पैरालंपिक समिति (PCI) के अध्यक्ष चुने गए।\nवे भाला फेंक में दो पैरालंपिक स्वर्ण - एथेंस 2004 तथा रियो 2016 - जीतने वाले पहले भारतीय पैरा-एथलीट हैं और टोक्यो 2020 में उन्होंने रजत पदक भी जीता।\nउन्हें 2004 में खेल रत्न तथा 2022 में पद्म भूषण से सम्मानित किया गया।\nदीपा मलिक PCI की निवर्तमान अध्यक्ष थीं, जबकि अभिनव बिंद्रा और नीरज चोपड़ा ओलंपिक (पैरालंपिक नहीं) चैंपियन हैं।\nअतः सही विकल्प (a) है।","pos":2,"neg":0.5},{"id":6977,"n":77,"subject":"General Awareness","stem":"Hemant Soren took oath as the Chief Minister of which Indian state in November 2024 ?","stemHi":"नवंबर 2024 में हेमंत सोरेन ने किस भारतीय राज्य के मुख्यमंत्री के रूप में शपथ ली?","context":null,"contextHi":null,"options":[{"key":"a","text":"Odisha","textHi":"ओडिशा","imageUrl":null},{"key":"b","text":"Madhya Pradesh","textHi":"मध्य प्रदेश","imageUrl":null},{"key":"c","text":"Jharkhand","textHi":"झारखंड","imageUrl":null},{"key":"d","text":"Bihar","textHi":"बिहार","imageUrl":null}],"correct":"c","sol":"State chief ministers\nHemant Soren took oath as Chief Minister of Jharkhand on 28 November 2024 at Morabadi Ground, Ranchi.\nIt was his fourth term; the JMM-led INDIA bloc had won 56 of the 81 assembly seats in the 2024 election.\nThe oath was administered by Governor Santosh Kumar Gangwar.\nJharkhand was carved out of Bihar in November 2000 and Hemant Soren leads the Jharkhand Mukti Morcha.\nHence option (c) is correct.","solHi":"राज्यों के मुख्यमंत्री\nहेमंत सोरेन ने 28 नवंबर 2024 को रांची के मोरहाबादी मैदान में झारखंड के मुख्यमंत्री पद की शपथ ली।\nयह उनका चौथा कार्यकाल था; 2024 के चुनाव में JMM के नेतृत्व वाले INDIA गठबंधन ने 81 में से 56 सीटें जीती थीं।\nशपथ राज्यपाल संतोष कुमार गंगवार ने दिलाई।\nझारखंड का गठन नवंबर 2000 में बिहार से अलग करके हुआ था और हेमंत सोरेन झारखंड मुक्ति मोर्चा का नेतृत्व करते हैं।\nअतः सही विकल्प (c) है।","pos":2,"neg":0.5},{"id":6978,"n":78,"subject":"General Awareness","stem":"In June 2025, who assumed charge as the 18th Commander-in-Chief of the Andaman and Nicobar Command?","stemHi":"जून 2025 में अंडमान और निकोबार कमान के 18वें कमांडर-इन-चीफ के रूप में किसने कार्यभार ग्रहण किया?","context":null,"contextHi":null,"options":[{"key":"a","text":"Admiral Karambir Singh","textHi":null,"imageUrl":null},{"key":"b","text":"Lt Gen Anil Chauhan","textHi":null,"imageUrl":null},{"key":"c","text":"Lt Gen Dinesh Singh Rana","textHi":null,"imageUrl":null},{"key":"d","text":"Vice Admiral R. Hari Kumar","textHi":null,"imageUrl":null}],"correct":"c","sol":"Defence appointments\nLt Gen Dinesh Singh Rana assumed charge as the 18th Commander-in-Chief of the Andaman and Nicobar Command (CINCAN) on 1 June 2025.\nHe succeeded Air Marshal Saju Balakrishnan and had earlier served as Director General of the Defence Intelligence Agency.\nThe Andaman and Nicobar Command, raised in 2001 with headquarters at Port Blair, is India's only integrated tri-services theatre command.\nIt guards the eastern approaches of the Indian Ocean Region, including the Strait of Malacca.\nHence option (c) is correct.","solHi":"रक्षा नियुक्तियाँ\nलेफ्टिनेंट जनरल दिनेश सिंह राणा ने 1 जून 2025 को अंडमान और निकोबार कमान (CINCAN) के 18वें कमांडर-इन-चीफ के रूप में कार्यभार ग्रहण किया।\nउन्होंने एयर मार्शल साजू बालकृष्णन का स्थान लिया और इससे पूर्व वे रक्षा आसूचना एजेंसी के महानिदेशक रह चुके थे।\nअंडमान और निकोबार कमान की स्थापना 2001 में पोर्ट ब्लेयर मुख्यालय के साथ हुई थी और यह भारत की एकमात्र एकीकृत त्रि-सेवा थिएटर कमान है।\nयह मलक्का जलडमरूमध्य सहित हिंद महासागर क्षेत्र के पूर्वी मार्गों की सुरक्षा करती है।\nअतः सही विकल्प (c) है।","pos":2,"neg":0.5},{"id":6979,"n":79,"subject":"General Awareness","stem":"The Swachhata Hi Seva (SHS) campaign conducted in September 2024, observed from 17 September to 2 October, recorded participation of more than how many crore people?","stemHi":"सितंबर 2024 में 17 सितंबर से 2 अक्टूबर तक चलाए गए स्वच्छता ही सेवा (SHS) अभियान में कितने करोड़ से अधिक लोगों की भागीदारी दर्ज की गई?","context":null,"contextHi":null,"options":[{"key":"a","text":"25","textHi":null,"imageUrl":null},{"key":"b","text":"40","textHi":null,"imageUrl":null},{"key":"c","text":"30","textHi":null,"imageUrl":null},{"key":"d","text":"50","textHi":null,"imageUrl":null}],"correct":"c","sol":"Swachhata Hi Seva 2024\nSwachhata Hi Seva 2024 ran from 17 September to 2 October 2024 and drew the participation of more than 30 crore people.\nIts theme was 'Swabhav Swachhata, Sanskaar Swachhata', and the fortnight marked ten years of the Swachh Bharat Mission.\nThe drive stood on three pillars - Jan Bhagidari (public participation), cleaning up neglected Cleanliness Target Units (CTUs), and Safai Mitra Suraksha Shivirs for sanitation workers.\nIt closed on 2 October, observed every year as Swachh Bharat Diwas.\nHence option (c) is correct.","solHi":"स्वच्छता ही सेवा 2024\nस्वच्छता ही सेवा 2024 अभियान 17 सितंबर से 2 अक्टूबर 2024 तक चला और इसमें 30 करोड़ से अधिक लोगों ने भाग लिया।\nइसका विषय 'स्वभाव स्वच्छता, संस्कार स्वच्छता' था तथा यह पखवाड़ा स्वच्छ भारत मिशन के दस वर्ष पूरे होने का प्रतीक था।\nयह अभियान तीन स्तंभों पर आधारित था - जन भागीदारी, उपेक्षित स्वच्छता लक्षित इकाइयों (CTUs) की सफाई तथा सफाई मित्रों के लिए सफाई मित्र सुरक्षा शिविर।\nइसका समापन 2 अक्टूबर को हुआ, जिसे प्रतिवर्ष स्वच्छ भारत दिवस के रूप में मनाया जाता है।\nअतः सही विकल्प (c) है।","pos":2,"neg":0.5},{"id":6980,"n":80,"subject":"General Awareness","stem":"As announced in the Union Budget 2025-26, a Centre of Excellence in Artificial Intelligence for education will be established with an allocation of Rs\n

____

crore.","stemHi":"केंद्रीय बजट 2025-26 में की गई घोषणा के अनुसार, शिक्षा के लिए कृत्रिम बुद्धिमत्ता में एक उत्कृष्टता केंद्र की स्थापना की जाएगी, जिसके लिए\n

____

करोड़ रुपये का आवंटन किया गया है।","context":null,"contextHi":null,"options":[{"key":"a","text":"150","textHi":null,"imageUrl":null},{"key":"b","text":"250","textHi":null,"imageUrl":null},{"key":"c","text":"500","textHi":null,"imageUrl":null},{"key":"d","text":"800","textHi":null,"imageUrl":null}],"correct":"c","sol":"Union Budget 2025-26\nThe Union Budget 2025-26, presented by Finance Minister Nirmala Sitharaman, announced a Centre of Excellence in Artificial Intelligence for education with an outlay of Rs 500 crore.\nThree AI Centres of Excellence - for agriculture, health and sustainable cities - had already been announced in the 2023-24 Budget with a combined Rs 990 crore.\nThe new centre is meant to personalise learning, help teachers and close the skill gap for a future-ready workforce.\nHence option (c) is correct.","solHi":"केंद्रीय बजट 2025-26\nवित्त मंत्री निर्मला सीतारमण द्वारा प्रस्तुत केंद्रीय बजट 2025-26 में शिक्षा के लिए कृत्रिम बुद्धिमत्ता में एक उत्कृष्टता केंद्र की घोषणा की गई, जिसके लिए 500 करोड़ रुपये का आवंटन किया गया।\nकृषि, स्वास्थ्य तथा संधारणीय शहरों के लिए तीन AI उत्कृष्टता केंद्रों की घोषणा 2023-24 के बजट में कुल 990 करोड़ रुपये के साथ पहले ही की जा चुकी थी।\nयह नया केंद्र सीखने को वैयक्तिक बनाने, शिक्षकों की सहायता करने तथा भविष्य के लिए तैयार कार्यबल हेतु कौशल अंतर को पाटने के उद्देश्य से बनाया जा रहा है।\nअतः सही विकल्प (c) है।","pos":2,"neg":0.5},{"id":6981,"n":81,"subject":"General Awareness","stem":"The Prime Minister Dhan-Dhaanya Krishi Yojana, approved in July 2025, is designed to initially benefit how many crore farmers?","stemHi":"जुलाई 2025 में स्वीकृत प्रधानमंत्री धन-धान्य कृषि योजना आरंभ में कितने करोड़ किसानों को लाभ पहुँचाने के लिए बनाई गई है?","context":null,"contextHi":null,"options":[{"key":"a","text":"1.7","textHi":null,"imageUrl":null},{"key":"b","text":"1.0","textHi":null,"imageUrl":null},{"key":"c","text":"2.2","textHi":null,"imageUrl":null},{"key":"d","text":"3.0","textHi":null,"imageUrl":null}],"correct":"a","sol":"PM Dhan-Dhaanya Krishi Yojana\nThe Prime Minister Dhan-Dhaanya Krishi Yojana (PMDDKY) was announced in the Union Budget 2025-26 and approved by the Union Cabinet on 16 July 2025.\nIt is to be taken up in 100 districts that lag behind in productivity, cropping intensity and credit availability, and is designed to benefit about 1.7 crore farmers to begin with.\nThe scheme runs for six years from 2025-26 with an annual outlay of ₹24,000 crore, and works by converging 36 existing schemes of 11 ministries instead of creating fresh ones.\nIts model is the Aspirational Districts Programme, so progress in each district is tracked on a monthly dashboard of key indicators.\nHence option (a) is correct.","solHi":"पीएम धन-धान्य कृषि योजना\nप्रधानमंत्री धन-धान्य कृषि योजना (PMDDKY) की घोषणा केंद्रीय बजट 2025-26 में की गई थी और 16 जुलाई 2025 को केंद्रीय मंत्रिमंडल ने इसे स्वीकृति दी।\nयह उन 100 ज़िलों में चलाई जाएगी जो उत्पादकता, फसल सघनता तथा ऋण उपलब्धता में पिछड़े हैं, और आरंभ में इससे लगभग 1.7 करोड़ किसानों को लाभ पहुँचाना प्रस्तावित है।\nयह योजना 2025-26 से छह वर्ष तक चलेगी, इसका वार्षिक परिव्यय ₹24,000 करोड़ है तथा इसमें नई योजनाएँ बनाने के स्थान पर 11 मंत्रालयों की 36 विद्यमान योजनाओं का अभिसरण किया गया है।\nइसका आदर्श आकांक्षी ज़िला कार्यक्रम है, अतः प्रत्येक ज़िले की प्रगति प्रमुख संकेतकों के मासिक डैशबोर्ड पर देखी जाती है।\nअतः सही विकल्प (a) है।","pos":2,"neg":0.5},{"id":6982,"n":82,"subject":"General Awareness","stem":"The Namo Drone Didi scheme, implemented as a central sector initiative, focuses on empowering which of the following?","stemHi":"केंद्रीय क्षेत्र की पहल के रूप में क्रियान्वित नमो ड्रोन दीदी योजना निम्नलिखित में से किसे सशक्त बनाने पर केंद्रित है?","context":null,"contextHi":null,"options":[{"key":"a","text":"women-led Self-Help Groups","textHi":"महिला-नेतृत्व वाले स्वयं सहायता समूह","imageUrl":null},{"key":"b","text":"youth-led Self-Help Groups","textHi":"युवा-नेतृत्व वाले स्वयं सहायता समूह","imageUrl":null},{"key":"c","text":"government-run cooperatives","textHi":"सरकार द्वारा संचालित सहकारी समितियाँ","imageUrl":null},{"key":"d","text":"private technology firms","textHi":"निजी प्रौद्योगिकी कंपनियाँ","imageUrl":null}],"correct":"a","sol":"Namo Drone Didi scheme\nNamo Drone Didi is a Central Sector Scheme of the Ministry of Rural Development that gives drones to women-led Self-Help Groups formed under DAY-NRLM.\nThe plan is to equip 15,000 selected women SHGs with drones, which they hire out to farmers for spraying liquid fertiliser and pesticide and for crop monitoring.\nOne woman from each SHG is trained as a drone pilot, so the group earns a rental income and the SHG becomes an agri-service enterprise.\nThe other options are ruled out at once: the scheme is not meant for youth groups, government cooperatives or private technology firms.\nHence option (a) is correct.","solHi":"नमो ड्रोन दीदी योजना\nनमो ड्रोन दीदी ग्रामीण विकास मंत्रालय की एक केंद्रीय क्षेत्र की योजना है, जिसके अंतर्गत DAY-NRLM के तहत गठित महिला-नेतृत्व वाले स्वयं सहायता समूहों को ड्रोन दिए जाते हैं।\nइसमें चयनित 15,000 महिला स्वयं सहायता समूहों को ड्रोन उपलब्ध कराने का लक्ष्य है, जिन्हें वे किसानों को तरल उर्वरक तथा कीटनाशक के छिड़काव एवं फसल निगरानी के लिए किराए पर देते हैं।\nप्रत्येक समूह की एक महिला को ड्रोन पायलट के रूप में प्रशिक्षित किया जाता है, जिससे समूह को किराये से आय होती है और वह कृषि-सेवा उद्यम बन जाता है।\nशेष विकल्प तत्काल ही अनुपयुक्त हैं: यह योजना युवा समूहों, सरकारी सहकारी समितियों अथवा निजी प्रौद्योगिकी कंपनियों के लिए नहीं है।\nअतः सही विकल्प (a) है।","pos":2,"neg":0.5},{"id":6983,"n":83,"subject":"General Awareness","stem":"From FY 2024 to FY 2025, the Reserve Bank of India's Financial Inclusion Index recorded an improvement of how much ?","stemHi":"वित्त वर्ष 2024 से वित्त वर्ष 2025 तक भारतीय रिज़र्व बैंक के वित्तीय समावेशन सूचकांक में कितना सुधार दर्ज किया गया?","context":null,"contextHi":null,"options":[{"key":"a","text":"2.1%","textHi":null,"imageUrl":null},{"key":"b","text":"2.8%","textHi":null,"imageUrl":null},{"key":"c","text":"

4.2 %

","textHi":null,"imageUrl":null},{"key":"d","text":"6.0%","textHi":null,"imageUrl":null}],"correct":"b","sol":"RBI Financial Inclusion Index\nThe RBI's Financial Inclusion Index (FI-Index) is published every July on a scale of 0 to 100, where 0 means complete exclusion and 100 complete inclusion.\n $\"figure\"/$ \nThe index stood at 64.2 for the year ended March 2024 and at 67.0 for the year ended March 2025, so the improvement is 67.0-64.2=2.8.\nThe gain was broad-based: all three sub-indices — Access (35% weight), Usage (45%) and Quality (20%) — improved, with Usage and Quality contributing the most.\nHence option (b) is correct.","solHi":"आरबीआई वित्तीय समावेशन सूचकांक\nआरबीआई का वित्तीय समावेशन सूचकांक (FI-Index) प्रत्येक वर्ष जुलाई में 0 से 100 के पैमाने पर जारी किया जाता है, जिसमें 0 का अर्थ पूर्ण अपवर्जन तथा 100 का अर्थ पूर्ण समावेशन है।\n $\"figure\"/$ \nमार्च 2024 को समाप्त वर्ष के लिए यह सूचकांक 64.2 था तथा मार्च 2025 को समाप्त वर्ष के लिए 67.0 रहा, अतः सुधार 67.0-64.2=2.8 है।\nयह सुधार व्यापक आधार वाला रहा: तीनों उप-सूचकांकों — पहुँच (भार 35%), उपयोग (45%) तथा गुणवत्ता (20%) — में वृद्धि हुई, जिसमें सर्वाधिक योगदान उपयोग एवं गुणवत्ता का रहा।\nअतः सही विकल्प (b) है।","pos":2,"neg":0.5},{"id":6984,"n":84,"subject":"General Awareness","stem":"The District Hospital Index, released by NITI Aayog, evaluates district hospitals using how many Key Performance Indicator (KPI) domains?","stemHi":"नीति आयोग द्वारा जारी जिला अस्पताल सूचकांक जिला अस्पतालों का मूल्यांकन कितने प्रमुख निष्पादन संकेतक (KPI) क्षेत्रों के आधार पर करता है?","context":null,"contextHi":null,"options":[{"key":"a","text":"3","textHi":null,"imageUrl":null},{"key":"b","text":"6","textHi":null,"imageUrl":null},{"key":"c","text":"10","textHi":null,"imageUrl":null},{"key":"d","text":"8","textHi":null,"imageUrl":null}],"correct":"c","sol":"NITI Aayog District Hospital Index\nThe District Hospital Index comes from the NITI Aayog report 'Best Practices in the Performance of District Hospitals', prepared with the Ministry of Health and Family Welfare and WHO India.\nEvery district hospital in the country is scored on 10 Key Performance Indicators, which are grouped under two heads — Structure (inputs) and Output (services actually delivered).\nThe indicators include beds per one lakh population, doctors, nurses and paramedics per bed, availability of core health-care services, diagnostic tests offered, bed occupancy rate and surgeries per surgeon.\nThe index is meant to be used for peer comparison, so that a weak hospital can be matched against the best performer of its own bed-size category.\nHence option (c) is correct.","solHi":"नीति आयोग जिला अस्पताल सूचकांक\nजिला अस्पताल सूचकांक नीति आयोग की उस रिपोर्ट से आया है जिसका शीर्षक 'Best Practices in the Performance of District Hospitals' है और जिसे स्वास्थ्य एवं परिवार कल्याण मंत्रालय तथा WHO India के सहयोग से तैयार किया गया।\nदेश के प्रत्येक जिला अस्पताल का मूल्यांकन 10 प्रमुख निष्पादन संकेतकों (KPI) पर किया जाता है, जिन्हें दो शीर्षों — संरचना (निवेश) तथा उत्पादन (वास्तव में दी गई सेवाएँ) — के अंतर्गत रखा गया है।\nइन संकेतकों में प्रति एक लाख जनसंख्या पर बिस्तर, प्रति बिस्तर चिकित्सक, नर्स एवं पैरामेडिकल कर्मी, मूलभूत स्वास्थ्य सेवाओं की उपलब्धता, उपलब्ध नैदानिक जाँचें, बिस्तर अधिभोग दर तथा प्रति शल्य-चिकित्सक शल्यक्रियाएँ सम्मिलित हैं।\nइस सूचकांक का उद्देश्य समकक्ष तुलना है, ताकि किसी कमज़ोर अस्पताल की तुलना उसी बिस्तर-श्रेणी के सर्वश्रेष्ठ अस्पताल से की जा सके।\nअतः सही विकल्प (c) है।","pos":2,"neg":0.5},{"id":6985,"n":85,"subject":"General Awareness","stem":"The seventh meeting of the National Board for Wildlife (NBWL), conducted in March 2025, took place at which of the following locations?","stemHi":"राष्ट्रीय वन्यजीव बोर्ड (NBWL) की सातवीं बैठक, जो मार्च 2025 में आयोजित की गई, निम्नलिखित में से किस स्थान पर हुई थी?","context":null,"contextHi":null,"options":[{"key":"a","text":"Jim Corbett National Park","textHi":"जिम कॉर्बेट राष्ट्रीय उद्यान","imageUrl":null},{"key":"b","text":"Kaziranga National Park","textHi":"काजीरंगा राष्ट्रीय उद्यान","imageUrl":null},{"key":"c","text":"Gir National Park","textHi":"गिर राष्ट्रीय उद्यान","imageUrl":null},{"key":"d","text":"Periyar National Park","textHi":"पेरियार राष्ट्रीय उद्यान","imageUrl":null}],"correct":"c","sol":"7th NBWL meeting\nThe seventh meeting of the National Board for Wildlife was held on 3 March 2025 — World Wildlife Day — at Sasan Gir in Gujarat, and was chaired by Prime Minister Narendra Modi.\nThe NBWL is the apex statutory body under the Wild Life (Protection) Act, 1972; the Prime Minister is its Chairperson and it clears projects inside protected areas and eco-sensitive zones.\nAt this meeting India's first riverine dolphin estimation report was released, putting the population at 6,327, and the foundation stone of the National Referral Centre for Wildlife at Junagadh was laid.\nGir was chosen because it is the only natural home of the Asiatic lion, and the meeting also reviewed Project Lion and the Asiatic lion census.\nHence option (c) is correct.","solHi":"एनबीडब्ल्यूएल की सातवीं बैठक\nराष्ट्रीय वन्यजीव बोर्ड की सातवीं बैठक 3 मार्च 2025 को — विश्व वन्यजीव दिवस पर — गुजरात के सासन गिर में हुई, जिसकी अध्यक्षता प्रधानमंत्री नरेंद्र मोदी ने की।\nएनबीडब्ल्यूएल वन्यजीव (संरक्षण) अधिनियम, 1972 के अंतर्गत गठित शीर्ष सांविधिक निकाय है; प्रधानमंत्री इसके अध्यक्ष होते हैं और यह संरक्षित क्षेत्रों तथा पर्यावरण-संवेदी क्षेत्रों में परियोजनाओं को स्वीकृति देता है।\nइसी बैठक में भारत की पहली नदीय डॉल्फिन गणना रिपोर्ट जारी की गई, जिसमें संख्या 6,327 बताई गई, तथा जूनागढ़ में राष्ट्रीय वन्यजीव संदर्भ केंद्र की आधारशिला रखी गई।\nगिर का चयन इसलिए हुआ क्योंकि यह एशियाई सिंह का एकमात्र प्राकृतिक आवास है; बैठक में प्रोजेक्ट लायन तथा एशियाई सिंह गणना की समीक्षा भी हुई।\nअतः सही विकल्प (c) है।","pos":2,"neg":0.5},{"id":6986,"n":86,"subject":"General Awareness","stem":"The Shadow Lines is a novel written by which Indian author?","stemHi":"The Shadow Lines किस भारतीय लेखक द्वारा लिखा गया उपन्यास है?","context":null,"contextHi":null,"options":[{"key":"a","text":"Salman Rushdie","textHi":null,"imageUrl":null},{"key":"b","text":"Arundhati Roy","textHi":null,"imageUrl":null},{"key":"c","text":"Amitav Ghosh","textHi":null,"imageUrl":null},{"key":"d","text":"Rohinton Mistry","textHi":null,"imageUrl":null}],"correct":"c","sol":"Indian English novels\n'The Shadow Lines' (1988) was written by Amitav Ghosh and won him the Sahitya Akademi Award in 1989.\nThe novel moves between Calcutta, Dhaka and London and argues that the lines drawn on maps at Partition are 'shadow lines' — the 1964 communal riots erupt on both sides of the border at once.\n $\"figure\"/$ \nGhosh also wrote 'The Circle of Reason', 'The Glass Palace', the Ibis trilogy and 'Gun Island', and in 2018 became the first English-language writer to receive the Jnanpith Award.\nHence option (c) is correct.","solHi":"भारतीय अंग्रेज़ी उपन्यास\n'The Shadow Lines' (1988) के लेखक Amitav Ghosh हैं, जिन्हें इस कृति के लिए 1989 में साहित्य अकादमी पुरस्कार मिला।\nयह उपन्यास कलकत्ता, ढाका और लंदन के बीच चलता है और यह दर्शाता है कि विभाजन के समय मानचित्र पर खींची गई रेखाएँ 'छाया रेखाएँ' हैं — 1964 के सांप्रदायिक दंगे सीमा के दोनों ओर एक साथ भड़क उठते हैं।\n $\"figure\"/$ \nGhosh ने 'The Circle of Reason', 'The Glass Palace', Ibis त्रयी तथा 'Gun Island' भी लिखे और 2018 में वे ज्ञानपीठ पुरस्कार पाने वाले पहले अंग्रेज़ी भाषा के लेखक बने।\nअतः सही विकल्प (c) है।","pos":2,"neg":0.5},{"id":6987,"n":87,"subject":"General Awareness","stem":"Which novel written by Munshi Premchand presents a realistic portrayal of the struggles of Indian farmers?","stemHi":"मुंशी प्रेमचंद द्वारा लिखा गया कौन-सा उपन्यास भारतीय किसानों के संघर्ष का यथार्थ चित्रण प्रस्तुत करता है?","context":null,"contextHi":null,"options":[{"key":"a","text":"Sevasadan","textHi":"सेवासदन","imageUrl":null},{"key":"b","text":"Godan","textHi":"गोदान","imageUrl":null},{"key":"c","text":"Nirmala","textHi":"निर्मला","imageUrl":null},{"key":"d","text":"Rangbhoomi","textHi":"रंगभूमि","imageUrl":null}],"correct":"b","sol":"Premchand's novels\n'Godan' (1936), Premchand's last completed novel, is the realistic account of the Indian peasant and is called the epic of Indian peasantry.\nIts hero Hori Mahato spends his life longing for a cow of his own, and is destroyed by debt, the moneylender, the landlord's agent and caste custom; the 'gift of a cow' is finally made at his death.\n $\"figure\"/$ \nThe other novels of Premchand deal with different themes, so they do not answer the question: Sevasadan with the plight of women, Nirmala with the ill-matched marriage and dowry, Rangbhoomi with the blind beggar Surdas and industrialisation.\nHence option (b) is correct.","solHi":"प्रेमचंद के उपन्यास\n'गोदान' (1936) प्रेमचंद का अंतिम पूर्ण उपन्यास है और यह भारतीय किसान का यथार्थ चित्रण है, इसीलिए इसे भारतीय किसान-जीवन का महाकाव्य कहा जाता है।\nइसका नायक होरी महतो जीवन भर अपनी एक गाय की लालसा में रहता है और ऋण, महाजन, ज़मींदार के कारिंदे तथा जाति-प्रथा उसे नष्ट कर देते हैं; 'गोदान' अंततः उसकी मृत्यु के समय होता है।\n $\"figure\"/$ \nप्रेमचंद के शेष उपन्यास अन्य विषयों पर हैं, अतः वे प्रश्न का उत्तर नहीं हैं: सेवासदन नारी-दशा पर, निर्मला अनमेल विवाह एवं दहेज पर तथा रंगभूमि अंधे भिखारी सूरदास एवं औद्योगीकरण पर केंद्रित है।\nअतः सही विकल्प (b) है।","pos":2,"neg":0.5},{"id":6988,"n":88,"subject":"General Awareness","stem":"The Jagannath Temple, built in the\n12th century by the Ganga dynasty ruler Anantavarman Chodaganga Deva, is situated in which Indian state?","stemHi":"जगन्नाथ मंदिर, जिसका निर्माण\n12वीं शताब्दी में गंग वंश के शासक अनंतवर्मन चोडगंग देव ने कराया था, भारत के किस राज्य में स्थित है?","context":null,"contextHi":null,"options":[{"key":"a","text":"West Bengal","textHi":"पश्चिम बंगाल","imageUrl":null},{"key":"b","text":"Andhra Pradesh","textHi":"आंध्र प्रदेश","imageUrl":null},{"key":"c","text":"Odisha","textHi":"ओडिशा","imageUrl":null},{"key":"d","text":"Chhattisgarh","textHi":"छत्तीसगढ़","imageUrl":null}],"correct":"c","sol":"Jagannath Temple, Puri\nThe Jagannath Temple stands at Puri in Odisha, on the coast of the Bay of Bengal.\nIt was begun in the 12th century by Anantavarman Chodaganga Deva of the Eastern Ganga dynasty and completed by his successors; it is a classic example of the Kalinga style, with a deul about 65 m high.\nThe deities Jagannath, Balabhadra and Subhadra are made of neem wood and are replaced in the Nabakalebara ceremony; Puri is one of the four Char Dham.\nIts annual Rath Yatra, in which the three deities travel to the Gundicha temple, is the festival that gave the English language the word 'juggernaut'.\nHence option (c) is correct.","solHi":"जगन्नाथ मंदिर, पुरी\nजगन्नाथ मंदिर ओडिशा के पुरी में, बंगाल की खाड़ी के तट पर स्थित है।\nइसका निर्माण 12वीं शताब्दी में पूर्वी गंग वंश के अनंतवर्मन चोडगंग देव ने आरंभ किया और उनके उत्तराधिकारियों ने पूर्ण किया; यह कलिंग शैली का उत्कृष्ट उदाहरण है, जिसका देउल लगभग 65 मीटर ऊँचा है।\nयहाँ जगन्नाथ, बलभद्र एवं सुभद्रा की मूर्तियाँ नीम की लकड़ी से बनती हैं और नवकलेवर अनुष्ठान में बदली जाती हैं; पुरी चार धामों में से एक है।\nयहाँ की वार्षिक रथ यात्रा, जिसमें तीनों विग्रह गुंडिचा मंदिर जाते हैं, वही उत्सव है जिससे अंग्रेज़ी शब्द 'juggernaut' बना।\nअतः सही विकल्प (c) है।","pos":2,"neg":0.5},{"id":6989,"n":89,"subject":"General Awareness","stem":"The Nagaur Fair, one of India's well-known cattle fairs, is organized in which Indian state?","stemHi":"नागौर मेला, जो भारत के प्रसिद्ध पशु मेलों में से एक है, भारत के किस राज्य में आयोजित किया जाता है?","context":null,"contextHi":null,"options":[{"key":"a","text":"Haryana","textHi":"हरियाणा","imageUrl":null},{"key":"b","text":"Gujarat","textHi":"गुजरात","imageUrl":null},{"key":"c","text":"Rajasthan","textHi":"राजस्थान","imageUrl":null},{"key":"d","text":"Madhya Pradesh","textHi":"मध्य प्रदेश","imageUrl":null}],"correct":"c","sol":"Fairs of India\nThe Nagaur Fair is held every year at Nagaur in Rajasthan, in the month of Magha (January-February).\nIt is the second largest cattle fair of India after the Sonepur fair of Bihar; bullocks, camels and the Nagauri breed of cattle are traded here in tens of thousands.\nAlongside the trading there are camel races, tug-of-war, cock fights and a large Mirchi Bazaar, which is why it is also called the Ramdeoji Cattle Fair.\nRajasthan also hosts the Pushkar camel fair, so cattle fairs of this kind are typical of the state's pastoral economy.\nHence option (c) is correct.","solHi":"भारत के मेले\nनागौर मेला प्रतिवर्ष राजस्थान के नागौर में माघ मास (जनवरी-फरवरी) में लगता है।\nयह बिहार के सोनपुर मेले के बाद भारत का दूसरा सबसे बड़ा पशु मेला है; यहाँ हज़ारों की संख्या में बैल, ऊँट तथा नागौरी नस्ल के पशुओं का क्रय-विक्रय होता है।\nव्यापार के साथ-साथ यहाँ ऊँट दौड़, रस्साकशी, मुर्ग़ लड़ाई तथा विशाल मिर्ची बाज़ार भी लगता है, इसीलिए इसे रामदेवजी पशु मेला भी कहा जाता है।\nराजस्थान में पुष्कर ऊँट मेला भी लगता है, अतः इस प्रकार के पशु मेले इस राज्य की पशुपालन आधारित अर्थव्यवस्था की पहचान हैं।\nअतः सही विकल्प (c) है।","pos":2,"neg":0.5},{"id":6990,"n":90,"subject":"General Awareness","stem":"The historic Hawa Mahal, famous for its 953 small windows (jharokhas), is located in which city?","stemHi":"अपने 953 छोटे झरोखों के लिए प्रसिद्ध ऐतिहासिक हवा महल किस शहर में स्थित है?","context":null,"contextHi":null,"options":[{"key":"a","text":"Jodhpur","textHi":"जोधपुर","imageUrl":null},{"key":"b","text":"Udaipur","textHi":"उदयपुर","imageUrl":null},{"key":"c","text":"Jaipur","textHi":"जयपुर","imageUrl":null},{"key":"d","text":"Bikaner","textHi":"बीकानेर","imageUrl":null}],"correct":"c","sol":"Hawa Mahal, Jaipur\nThe Hawa Mahal, the 'Palace of Winds', stands on the edge of the City Palace complex in Jaipur, Rajasthan.\nIt was built in 1799 by Maharaja Sawai Pratap Singh and designed by Lal Chand Ustad; its five-storey pyramidal facade of red and pink sandstone is shaped like the crown of Lord Krishna.\nThe 953 small jharokhas let cool air blow through the building and allowed the royal women, who observed purdah, to watch processions in the street without being seen.\nJodhpur is known for Mehrangarh, Udaipur for the City Palace on Lake Pichola and Bikaner for Junagarh Fort, so none of them fits.\nHence option (c) is correct.","solHi":"हवा महल, जयपुर\nहवा महल, अर्थात् 'वायु का महल', राजस्थान के जयपुर में सिटी पैलेस परिसर के किनारे स्थित है।\nइसका निर्माण 1799 में महाराजा सवाई प्रताप सिंह ने कराया था और इसकी रूपरेखा लाल चंद उस्ता ने बनाई; लाल-गुलाबी बलुआ पत्थर का इसका पंचमंज़िला पिरामिडाकार अग्रभाग भगवान कृष्ण के मुकुट के आकार का है।\nइसके 953 छोटे झरोखे भवन में ठंडी हवा आने देते हैं तथा इनसे पर्दा-प्रथा का पालन करने वाली राजपरिवार की स्त्रियाँ बिना दिखे सड़क की शोभायात्राएँ देख सकती थीं।\nजोधपुर मेहरानगढ़ के लिए, उदयपुर पिछोला झील के सिटी पैलेस के लिए तथा बीकानेर जूनागढ़ क़िले के लिए प्रसिद्ध है, अतः इनमें से कोई उपयुक्त नहीं है।\nअतः सही विकल्प (c) है।","pos":2,"neg":0.5},{"id":6991,"n":91,"subject":"General Awareness","stem":"In West Bengal, the traditional commencement of Durga Puja celebrations is marked by which ritual or occasion?","stemHi":"पश्चिम बंगाल में दुर्गा पूजा के उत्सव का पारंपरिक आरंभ किस अनुष्ठान अथवा अवसर से माना जाता है?","context":null,"contextHi":null,"options":[{"key":"a","text":"Sasthi","textHi":"षष्ठी","imageUrl":null},{"key":"b","text":"Navami","textHi":"नवमी","imageUrl":null},{"key":"c","text":"Ashtami","textHi":"अष्टमी","imageUrl":null},{"key":"d","text":"Mahalaya","textHi":"महालया","imageUrl":null}],"correct":"d","sol":"Durga Puja rituals\nIn West Bengal the Durga Puja celebration traditionally begins with Mahalaya, the new-moon day that closes Pitru Paksha and opens Devi Paksha, a week before the main puja.\n $\"figure\"/$ \nOn Mahalaya the Goddess is invited to descend from Kailash to her father's house; Bengalis rise before dawn to hear the Mahishasura Mardini chant made famous by Birendra Krishna Bhadra on All India Radio.\nThe same morning image-makers of Kumartuli perform Chokkhu Daan, painting the eyes of the idol, which is the moment the image is said to come alive.\nThe formal worship in the pandal starts later, with Bodhon on Sasthi, and Ashtami and Navami fall still later, so none of those days marks the commencement.\nHence option (d) is correct.","solHi":"दुर्गा पूजा के अनुष्ठान\nपश्चिम बंगाल में दुर्गा पूजा का उत्सव परंपरागत रूप से महालया से आरंभ होता है — यह वह अमावस्या है जो पितृ पक्ष का समापन तथा देवी पक्ष का प्रारंभ करती है और मुख्य पूजा से एक सप्ताह पूर्व पड़ती है।\n $\"figure\"/$ \nमहालया के दिन देवी को कैलाश से पितृगृह आने का निमंत्रण दिया जाता है; बंगालवासी भोर से पूर्व उठकर आकाशवाणी पर बीरेंद्र कृष्ण भद्र द्वारा प्रसिद्ध 'महिषासुर मर्दिनी' का पाठ सुनते हैं।\nउसी प्रातः कुमारटुली के मूर्तिकार 'चोक्खु दान' करते हैं, अर्थात् प्रतिमा की आँखें बनाते हैं, और यही वह क्षण माना जाता है जब प्रतिमा में प्राण आते हैं।\nपंडाल में विधिवत पूजा इसके बाद षष्ठी को बोधन से आरंभ होती है तथा अष्टमी एवं नवमी और भी बाद में आती हैं, अतः इनमें से कोई भी दिन उत्सव का आरंभ नहीं दर्शाता।\nअतः सही विकल्प (d) है।","pos":2,"neg":0.5},{"id":6992,"n":92,"subject":"General Awareness","stem":"The traditional Pandava dance, performed during festivals such as Dussehra and Diwali, originates from which Indian state?","stemHi":"दशहरा तथा दीपावली जैसे त्योहारों पर किया जाने वाला पारंपरिक पांडव नृत्य भारत के किस राज्य से संबंधित है?","context":null,"contextHi":null,"options":[{"key":"a","text":"Himachal Pradesh","textHi":"हिमाचल प्रदेश","imageUrl":null},{"key":"b","text":"Uttarakhand","textHi":"उत्तराखंड","imageUrl":null},{"key":"c","text":"Rajasthan","textHi":"राजस्थान","imageUrl":null},{"key":"d","text":"Odisha","textHi":"ओडिशा","imageUrl":null}],"correct":"b","sol":"Folk dances of Uttarakhand\nPandav Nritya, also called Pandav Lila, belongs to the Garhwal region of Uttarakhand.\nIt is a ritual dance-drama in which villagers enact episodes of the Mahabharata over several nights, the performers often going into a trance in which they are believed to be possessed by the Pandavas.\nIt is staged after the harvest, around Dussehra and Diwali, to the beat of the dhol-damau and the note of the ransingha, and the weapons of the Pandavas kept in the village temple are worshipped.\nUttarakhand's other folk dances — Chholiya, Jhora, Langvir and Barada Nati — belong to the same tradition, which places the form firmly in that state.\nHence option (b) is correct.","solHi":"उत्तराखंड के लोकनृत्य\nपांडव नृत्य, जिसे पांडव लीला भी कहते हैं, उत्तराखंड के गढ़वाल क्षेत्र का नृत्य है।\nयह एक अनुष्ठानिक नृत्य-नाट्य है जिसमें ग्रामवासी कई रातों तक महाभारत के प्रसंगों का अभिनय करते हैं और नर्तक प्रायः ऐसी भाव-दशा में आ जाते हैं जिसमें उन पर पांडवों का अवतरण माना जाता है।\nयह फ़सल कटने के बाद दशहरा एवं दीपावली के आसपास ढोल-दमाऊ की थाप तथा रणसिंघा की ध्वनि पर किया जाता है और गाँव के मंदिर में रखे पांडवों के अस्त्रों की पूजा होती है।\nउत्तराखंड के अन्य लोकनृत्य — छोलिया, झोड़ा, लंगविर तथा बरदा नाटी — इसी परंपरा के अंग हैं, जिससे यह विधा निश्चित रूप से उसी राज्य की सिद्ध होती है।\nअतः सही विकल्प (b) है।","pos":2,"neg":0.5},{"id":6993,"n":93,"subject":"General Awareness","stem":"The folk dance form Monyoasho is traditionally associated with which Indian state?","stemHi":"लोकनृत्य मोन्योआशो (Monyoasho) परंपरागत रूप से भारत के किस राज्य से संबंधित है?","context":null,"contextHi":null,"options":[{"key":"a","text":"Manipur","textHi":"मणिपुर","imageUrl":null},{"key":"b","text":"Nagaland","textHi":"नागालैंड","imageUrl":null},{"key":"c","text":"Mizoram","textHi":"मिज़ोरम","imageUrl":null},{"key":"d","text":"Tripura","textHi":"त्रिपुरा","imageUrl":null}],"correct":"b","sol":"Folk dances of the North-East\nMonyoasho is the dance of the Phom Naga tribe of Nagaland, performed at the Monyu festival held in the first week of April.\nMonyu marks the end of winter and the start of the sowing season; men in full warrior dress dance in rows to log-drum beats and the women serve rice beer and meat to visiting kinsmen.\n $\"figure\"/$ \nThe clue is the tribe: Phom is one of the recognised Naga tribes of Longleng district, which fixes the dance in Nagaland rather than Manipur, Mizoram or Tripura.\nHence option (b) is correct.","solHi":"पूर्वोत्तर के लोकनृत्य\nमोन्योआशो नागालैंड की फोम नागा जनजाति का नृत्य है, जो अप्रैल के प्रथम सप्ताह में मनाए जाने वाले मोन्यू उत्सव पर किया जाता है।\nमोन्यू शीत ऋतु की समाप्ति तथा बुवाई के मौसम के आरंभ का सूचक है; पूर्ण योद्धा वेश में पुरुष काष्ठ-ढोल की थाप पर पंक्तियों में नृत्य करते हैं और स्त्रियाँ आगंतुक संबंधियों को चावल की मदिरा एवं मांस परोसती हैं।\n $\"figure\"/$ \nसंकेत जनजाति में है: फोम लोंगलेंग ज़िले की मान्यता प्राप्त नागा जनजातियों में से एक है, जिससे यह नृत्य मणिपुर, मिज़ोरम अथवा त्रिपुरा के स्थान पर नागालैंड का सिद्ध होता है।\nअतः सही विकल्प (b) है।","pos":2,"neg":0.5},{"id":6994,"n":94,"subject":"General Awareness","stem":"In cryogenic rocket engines, hydrogen is preferred as a fuel mainly due to which property?","stemHi":"क्रायोजेनिक रॉकेट इंजनों में हाइड्रोजन को ईंधन के रूप में मुख्यतः किस गुण के कारण वरीयता दी जाती है?","context":null,"contextHi":null,"options":[{"key":"a","text":"It remains stable at normal atmospheric conditions","textHi":"यह सामान्य वायुमंडलीय परिस्थितियों में स्थायी रहती है","imageUrl":null},{"key":"b","text":"It produces no heat during combustion","textHi":"दहन के समय यह कोई ऊष्मा उत्पन्न नहीं करती","imageUrl":null},{"key":"c","text":"It provides very high energy per unit mass","textHi":"यह प्रति इकाई द्रव्यमान बहुत अधिक ऊर्जा प्रदान करती है","imageUrl":null},{"key":"d","text":"It is easily available in liquid form","textHi":"यह द्रव रूप में सरलता से उपलब्ध है","imageUrl":null}],"correct":"c","sol":"Cryogenic rocket fuel\nA rocket has to carry its own fuel, so the fuel that releases the most energy per kilogram gives the most velocity for the least lift-off mass.\nHydrogen has by far the highest calorific value of any chemical fuel, about 120 MJ per kg — roughly three times that of kerosene — and burning it with liquid oxygen gives a specific impulse of about 450 s.\nIts exhaust is only water vapour, whose low molecular mass means a high exhaust velocity, which is exactly what the rocket equation rewards.\nThe other options are false: hydrogen is a gas at ordinary conditions and must be kept liquid at about

- 253^{\circ}

C, its combustion is strongly exothermic, and liquefying it is difficult and costly.\nHence option (c) is correct.","solHi":"क्रायोजेनिक रॉकेट ईंधन\nरॉकेट को अपना ईंधन स्वयं ले जाना पड़ता है, अतः वही ईंधन उपयुक्त है जो प्रति किलोग्राम सर्वाधिक ऊर्जा दे, क्योंकि तब न्यूनतम प्रक्षेपण-द्रव्यमान में अधिकतम वेग मिलता है।\nहाइड्रोजन का कैलोरी मान सभी रासायनिक ईंधनों में सर्वाधिक है, लगभग 120 MJ प्रति kg — जो केरोसीन से लगभग तीन गुना है — और द्रव ऑक्सीजन के साथ इसके दहन से लगभग 450 s का विशिष्ट आवेग प्राप्त होता है।\nइसके दहन से केवल जलवाष्प निकलती है, जिसका अणुभार कम होने के कारण निर्गम वेग अधिक होता है, और रॉकेट समीकरण में यही सबसे अधिक लाभकारी है।\nशेष विकल्प असत्य हैं: हाइड्रोजन सामान्य परिस्थितियों में गैस है और इसे लगभग

- 253^{\circ}

C पर द्रव रखना पड़ता है, इसका दहन प्रबल ऊष्माक्षेपी है तथा इसका द्रवीकरण कठिन एवं महँगा है।\nअतः सही विकल्प (c) है।","pos":2,"neg":0.5},{"id":6995,"n":95,"subject":"General Awareness","stem":"Consider the following statements about India's Chandrayaan-1 mission:\nI. It marked India's first successful mission to the Moon.\nII. It provided evidence for the presence of water molecules on the lunar surface.\nWhich of the statements given above is/are correct ?","stemHi":"भारत के चंद्रयान-1 मिशन के संबंध में निम्नलिखित कथनों पर विचार कीजिए:\nI. यह चंद्रमा के लिए भारत का पहला सफल मिशन था।\nII. इसने चंद्र सतह पर जल के अणुओं की उपस्थिति का प्रमाण प्रदान किया।\nउपर्युक्त कथनों में से कौन-सा/से सही है/हैं?","context":null,"contextHi":null,"options":[{"key":"a","text":"I only","textHi":"केवल I","imageUrl":null},{"key":"b","text":"II only","textHi":"केवल II","imageUrl":null},{"key":"c","text":"Both I and Statement II","textHi":"I और कथन II दोनों","imageUrl":null},{"key":"d","text":"Neither I nor Statement II","textHi":"न तो I और न ही कथन II","imageUrl":null}],"correct":"c","sol":"Chandrayaan-1 mission\nChandrayaan-1 was launched on 22 October 2008 by PSLV-C11 from Sriharikota and entered lunar orbit on 8 November 2008, so it was indeed India's first mission to the Moon — Statement I is correct.\nIt carried 11 payloads, five Indian and six foreign, and dropped the Moon Impact Probe near the lunar south pole on 14 November 2008, making India the fourth nation to place its flag on the Moon.\nThe NASA-built Moon Mineralogy Mapper on board found the spectral signature of water and hydroxyl molecules in the lunar soil, announced in 2009 — Statement II is correct as well.\n $\"figure\"/$ \nHence option (c) is correct.","solHi":"चंद्रयान-1 मिशन\nचंद्रयान-1 को 22 अक्टूबर 2008 को श्रीहरिकोटा से PSLV-C11 द्वारा प्रक्षेपित किया गया और 8 नवंबर 2008 को यह चंद्र कक्षा में स्थापित हुआ, अतः यह वास्तव में भारत का पहला चंद्र मिशन था — कथन I सही है।\nइसमें 11 नीतभार थे, पाँच भारतीय एवं छह विदेशी, तथा इसने 14 नवंबर 2008 को चंद्रमा के दक्षिणी ध्रुव के निकट मून इम्पैक्ट प्रोब गिराया, जिससे भारत चंद्रमा पर अपना ध्वज पहुँचाने वाला चौथा देश बना।\nइसमें लगे NASA निर्मित Moon Mineralogy Mapper ने चंद्र मृदा में जल एवं हाइड्रॉक्सिल अणुओं का वर्णक्रमीय प्रमाण खोजा, जिसकी घोषणा 2009 में हुई — अतः कथन II भी सही है।\n $\"figure\"/$ \nअतः सही विकल्प (c) है।","pos":2,"neg":0.5},{"id":6996,"n":96,"subject":"General Awareness","stem":"With reference to fluid friction, consider the following statements:\nI. Fluid friction is commonly referred to as drag.\nII. The magnitude of fluid friction varies with the relative speed between the object and the fluid.\nWhich of the statements given above is/are correct?","stemHi":"तरल घर्षण के संदर्भ में निम्नलिखित कथनों पर विचार कीजिए:\nI. तरल घर्षण को सामान्यतः ड्रैग (कर्षण) कहा जाता है।\nII. तरल घर्षण का परिमाण वस्तु तथा तरल के बीच सापेक्ष चाल के साथ बदलता 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 Statement I and Statement II","textHi":"कथन I और कथन II दोनों","imageUrl":null},{"key":"d","text":"Neither Statement I nor Statement II","textHi":"न तो कथन I और न ही कथन II","imageUrl":null}],"correct":"c","sol":"Fluid friction (drag)\nThe force that a liquid or a gas exerts against a body moving through it is called fluid friction, and its everyday name is drag — Statement I is correct.\nDrag is not a constant: for a body moving through air the drag force rises roughly as the square of the relative speed,

F \propto v^{2}

, so it certainly varies with the relative speed — Statement II is correct.\n $\"figure\"/$ \nDrag also depends on the viscosity of the fluid and on the shape and area presented to the flow, which is why aircraft, ships and cars are given streamlined bodies.\nHence option (c) is correct.","solHi":"तरल घर्षण (ड्रैग)\nकिसी द्रव अथवा गैस द्वारा उसमें गतिमान वस्तु पर लगाया गया प्रतिरोधी बल तरल घर्षण कहलाता है और इसका प्रचलित नाम ड्रैग (कर्षण) है — अतः कथन I सही है।\nड्रैग नियत नहीं होता: वायु में गतिमान वस्तु के लिए ड्रैग बल लगभग सापेक्ष चाल के वर्ग के अनुपात में बढ़ता है,

F \propto v^{2}

, अतः यह निश्चित रूप से सापेक्ष चाल के साथ बदलता है — कथन II भी सही है।\n $\"figure\"/$ \nड्रैग तरल की श्यानता तथा प्रवाह के सम्मुख वस्तु के आकार एवं क्षेत्रफल पर भी निर्भर करता है, इसीलिए वायुयान, जलयान तथा कारों को धारारेखित आकार दिया जाता है।\nअतः सही विकल्प (c) है।","pos":2,"neg":0.5},{"id":6997,"n":97,"subject":"General Awareness","stem":"In 2025, which academic institutions were granted ₹4.2 crore to work on the development of next-generation digital forensic technologies?","stemHi":"वर्ष 2025 में, अगली पीढ़ी की डिजिटल फोरेंसिक प्रौद्योगिकियों के विकास हेतु किन शैक्षणिक संस्थानों को ₹4.2 करोड़ का अनुदान दिया गया?","context":null,"contextHi":null,"options":[{"key":"a","text":"IIT Kanpur and IIT Roorkee","textHi":"IIT Kanpur और IIT Roorkee","imageUrl":null},{"key":"b","text":"IIIT Pune and NIT Raipur","textHi":"IIIT Pune और NIT Raipur","imageUrl":null},{"key":"c","text":"IISc Bengaluru and IIT Hyderabad","textHi":"IISc Bengaluru और IIT Hyderabad","imageUrl":null},{"key":"d","text":"NIT Trichy and IIIT Hyderabad","textHi":"NIT Trichy और IIIT Hyderabad","imageUrl":null}],"correct":"b","sol":"Digital forensics research grant\nIn 2025 the Ministry of Electronics and Information Technology sanctioned a grant of ₹4.2 crore jointly to IIIT Pune and NIT Raipur for next-generation digital forensic technology.\nThe project is to build indigenous tools that can recover evidence from encrypted, damaged, cloned or counterfeit storage media, an area where Indian agencies now depend on costly foreign software.\nIt also provides for a national repository of forensic disk images on which investigators and researchers can train and validate their tools.\nThe work is led by Dr Bhupendra Singh at IIIT Pune with Dr Nitesh Bharadwaj at NIT Raipur, and is aimed at supporting law-enforcement agencies against cybercrime.\nHence option (b) is correct.","solHi":"डिजिटल फोरेंसिक अनुसंधान अनुदान\nवर्ष 2025 में इलेक्ट्रॉनिकी एवं सूचना प्रौद्योगिकी मंत्रालय ने अगली पीढ़ी की डिजिटल फोरेंसिक प्रौद्योगिकी के लिए IIIT Pune तथा NIT Raipur को संयुक्त रूप से ₹4.2 करोड़ का अनुदान स्वीकृत किया।\nइस परियोजना का उद्देश्य ऐसे स्वदेशी उपकरण विकसित करना है जो एन्क्रिप्टेड, क्षतिग्रस्त, क्लोन अथवा नक़ली भंडारण उपकरणों से साक्ष्य निकाल सकें — इस क्षेत्र में भारतीय एजेंसियाँ अब तक महँगे विदेशी सॉफ़्टवेयर पर निर्भर हैं।\nइसमें फोरेंसिक डिस्क इमेजों का एक राष्ट्रीय संग्रह बनाने का भी प्रावधान है, जिस पर अन्वेषक एवं शोधकर्ता अपने उपकरणों का प्रशिक्षण तथा सत्यापन कर सकें।\nइस कार्य का नेतृत्व IIIT Pune में डॉ. भूपेंद्र सिंह तथा NIT Raipur में डॉ. नितेश भारद्वाज कर रहे हैं और इसका लक्ष्य साइबर अपराध के विरुद्ध विधि प्रवर्तन एजेंसियों की सहायता करना है।\nअतः सही विकल्प (b) है।","pos":2,"neg":0.5},{"id":6998,"n":98,"subject":"General Awareness","stem":"Extracting oil from groundnuts is considered an economic activity belonging to which sector of the economy?","stemHi":"मूँगफली से तेल निकालना अर्थव्यवस्था के किस क्षेत्रक की आर्थिक क्रिया मानी जाती है?","context":null,"contextHi":null,"options":[{"key":"a","text":"Tertiary","textHi":"तृतीयक","imageUrl":null},{"key":"b","text":"Secondary","textHi":"द्वितीयक","imageUrl":null},{"key":"c","text":"Primary","textHi":"प्राथमिक","imageUrl":null},{"key":"d","text":"Quaternary","textHi":"चतुर्थक","imageUrl":null}],"correct":"b","sol":"Sectors of the economy\nThe primary sector takes produce directly from nature, the secondary sector converts that produce into goods, and the tertiary sector provides services that support the first two.\n $\"figure\"/$ \nGrowing groundnuts is a primary activity, but crushing them in a mill to extract oil changes the raw material into a new manufactured product, which is exactly what the secondary sector does.\nSince a natural product is being processed into a finished good, the activity belongs to the secondary or industrial sector, not to the primary sector.\nHence option (b) is correct.","solHi":"अर्थव्यवस्था के क्षेत्रक\nप्राथमिक क्षेत्रक प्रकृति से सीधे उपज प्राप्त करता है, द्वितीयक क्षेत्रक उस उपज को वस्तुओं में बदलता है तथा तृतीयक क्षेत्रक ऐसी सेवाएँ देता है जो पहले दोनों में सहायक होती हैं।\n $\"figure\"/$ \nमूँगफली उगाना प्राथमिक क्रिया है, किंतु मिल में उसकी पेराई करके तेल निकालना कच्चे माल को एक नए निर्मित उत्पाद में बदल देता है, और यही द्वितीयक क्षेत्रक का कार्य है।\nचूँकि यहाँ प्राकृतिक उत्पाद को संसाधित करके तैयार वस्तु बनाई जा रही है, अतः यह क्रिया प्राथमिक नहीं, बल्कि द्वितीयक अथवा औद्योगिक क्षेत्रक की है।\nअतः सही विकल्प (b) है।","pos":2,"neg":0.5},{"id":6999,"n":99,"subject":"General Awareness","stem":"Regarding India's National Highways Development Projects, the East-West Corridor spans approximately how many kilometers?","stemHi":"भारत की राष्ट्रीय राजमार्ग विकास परियोजनाओं के संदर्भ में, पूर्व-पश्चिम गलियारा लगभग कितने किलोमीटर तक फैला है?","context":null,"contextHi":null,"options":[{"key":"a","text":"3200","textHi":null,"imageUrl":null},{"key":"b","text":"3,640","textHi":null,"imageUrl":null},{"key":"c","text":"4,200","textHi":null,"imageUrl":null},{"key":"d","text":"5,000","textHi":null,"imageUrl":null}],"correct":"b","sol":"East-West Corridor, NHDP\nThe East-West Corridor is part of Phase II of the National Highways Development Project and runs about 3,640 km from Silchar in Assam to Porbandar in Gujarat.\n $\"figure\"/$ \nIt follows mainly National Highway 27 and passes through Assam, West Bengal, Bihar, Uttar Pradesh, Madhya Pradesh, Rajasthan and Gujarat.\nIt crosses the North-South Corridor, which runs from Srinagar to Kanyakumari, at Jhansi in Uttar Pradesh; both corridors are executed by the NHAI as four-lane or more highways.\nHence option (b) is correct.","solHi":"पूर्व-पश्चिम गलियारा, एनएचडीपी\nपूर्व-पश्चिम गलियारा राष्ट्रीय राजमार्ग विकास परियोजना के चरण II का भाग है और यह असम के सिलचर से गुजरात के पोरबंदर तक लगभग 3,640 किलोमीटर तक फैला है।\n $\"figure\"/$ \nयह मुख्यतः राष्ट्रीय राजमार्ग 27 के मार्ग पर चलता है तथा असम, पश्चिम बंगाल, बिहार, उत्तर प्रदेश, मध्य प्रदेश, राजस्थान एवं गुजरात से होकर गुज़रता है।\nयह उत्तर-दक्षिण गलियारे को, जो श्रीनगर से कन्याकुमारी तक जाता है, उत्तर प्रदेश के झाँसी में काटता है; दोनों गलियारों का निर्माण एनएचएआई द्वारा चार अथवा अधिक लेन के राजमार्गों के रूप में किया जाता है।\nअतः सही विकल्प (b) है।","pos":2,"neg":0.5},{"id":7000,"n":100,"subject":"General Awareness","stem":"The human heart has separate chambers primarily to achieve which of the following functions?","stemHi":"मानव हृदय में पृथक कक्ष मुख्यतः निम्नलिखित में से कौन-सा कार्य पूरा करने के लिए होते हैं?","context":null,"contextHi":null,"options":[{"key":"a","text":"To maintain body heat","textHi":"शरीर की ऊष्मा बनाए रखने के लिए","imageUrl":null},{"key":"b","text":"To circulate blood to all parts of the body","textHi":"शरीर के सभी भागों में रक्त संचारित करने के लिए","imageUrl":null},{"key":"c","text":"To keep oxygenated and deoxygenated blood separate","textHi":"ऑक्सीजनित तथा विऑक्सीजनित रक्त को अलग रखने के लिए","imageUrl":null},{"key":"d","text":"To act as a blood reservoir","textHi":"रक्त भंडार के रूप में कार्य करने के लिए","imageUrl":null}],"correct":"c","sol":"Human heart chambers\nThe human heart has four chambers — two atria above and two ventricles below — separated by the inter-atrial and inter-ventricular septa.\n $\"figure\"/$ \nThe right side handles only deoxygenated blood coming from the body and sends it to the lungs; the left side handles only oxygenated blood returning from the lungs and pumps it to the body.\nThe septa therefore keep the two kinds of blood completely separate, so tissues always receive fully oxygenated blood — the arrangement called double circulation.\nThis efficiency is what allows warm-blooded animals to maintain a constant body temperature, whereas the three-chambered heart of an amphibian allows some mixing.\nHence option (c) is correct.","solHi":"मानव हृदय के कक्ष\nमानव हृदय में चार कक्ष होते हैं — ऊपर दो अलिंद तथा नीचे दो निलय — जो अंतर-अलिंद एवं अंतर-निलय पट द्वारा पृथक रहते हैं।\n $\"figure\"/$ \nदायाँ भाग केवल शरीर से आया विऑक्सीजनित रक्त लेकर उसे फेफड़ों तक भेजता है; बायाँ भाग केवल फेफड़ों से लौटा ऑक्सीजनित रक्त लेकर उसे शरीर में पंप करता है।\nइस प्रकार ये पट दोनों प्रकार के रक्त को पूर्णतः अलग रखते हैं, जिससे ऊतकों को सदैव पूर्ण ऑक्सीजनित रक्त मिलता है — इसी व्यवस्था को दोहरा परिसंचरण कहते हैं।\nयही दक्षता गर्म रक्त वाले प्राणियों को स्थिर शरीर-ताप बनाए रखने में समर्थ बनाती है, जबकि उभयचर के त्रिकक्षीय हृदय में कुछ रक्त मिश्रित हो जाता है।\nअतः सही विकल्प (c) है।","pos":2,"neg":0.5}],"test":{"slug":"ssc-chsl-tier-1--20-nov-2025-shift-2","title":"SSC CHSL Tier-1 20 November 2025 Shift-2 Previous Year Paper","examName":"CHSL Tier-1","paperLabel":"20 November 2025 · Shift 2","sectionSubject":null,"durationMinutes":60,"format":"full_test"}}]