27:I[81166,["/_next/static/immutable/chunks/2corl6wyj4669.js","/_next/static/immutable/chunks/38n271cv4vmyv.js","/_next/static/immutable/chunks/2pf73jja2520w.js"],"default"] 28:T4a5,Directions (Qs. 21-25): Read the following passage carefully and answer the questions that follow. In recent years, the importance of regular physical activity has gained widespread attention, especially among young adults. With increased screen time and sedentary routines, many individuals find it difficult to incorporate exercise into their daily lives. Convenience often takes precedence over movement, leading to a decline in overall fitness levels. Health professionals highlight that engaging in consistent physical activity helps strengthen muscles, improve cardiovascular health, and enhance mental well-being. Activities such as walking, cycling, and stretching not only boost energy levels but also reduce stress and improve sleep quality. Moreover, developing an active lifestyle at a young age encourages long-term commitment to fitness. Educational institutions and families share the responsibility of fostering active habits by creating supportive environments, organising sports activities, and encouraging balanced routines. When young people adopt physical activity as a regular practice, they are more likely to maintain a healthier lifestyle throughout adulthood.29:T4a5,Directions (Qs. 21-25): Read the following passage carefully and answer the questions that follow. In recent years, the importance of regular physical activity has gained widespread attention, especially among young adults. With increased screen time and sedentary routines, many individuals find it difficult to incorporate exercise into their daily lives. Convenience often takes precedence over movement, leading to a decline in overall fitness levels. Health professionals highlight that engaging in consistent physical activity helps strengthen muscles, improve cardiovascular health, and enhance mental well-being. Activities such as walking, cycling, and stretching not only boost energy levels but also reduce stress and improve sleep quality. Moreover, developing an active lifestyle at a young age encourages long-term commitment to fitness. Educational institutions and families share the responsibility of fostering active habits by creating supportive environments, organising sports activities, and encouraging balanced routines. When young people adopt physical activity as a regular practice, they are more likely to maintain a healthier lifestyle throughout adulthood.2a:T4a5,Directions (Qs. 21-25): Read the following passage carefully and answer the questions that follow. In recent years, the importance of regular physical activity has gained widespread attention, especially among young adults. With increased screen time and sedentary routines, many individuals find it difficult to incorporate exercise into their daily lives. Convenience often takes precedence over movement, leading to a decline in overall fitness levels. Health professionals highlight that engaging in consistent physical activity helps strengthen muscles, improve cardiovascular health, and enhance mental well-being. Activities such as walking, cycling, and stretching not only boost energy levels but also reduce stress and improve sleep quality. Moreover, developing an active lifestyle at a young age encourages long-term commitment to fitness. Educational institutions and families share the responsibility of fostering active habits by creating supportive environments, organising sports activities, and encouraging balanced routines. When young people adopt physical activity as a regular practice, they are more likely to maintain a healthier lifestyle throughout adulthood.2b:T4a5,Directions (Qs. 21-25): Read the following passage carefully and answer the questions that follow. In recent years, the importance of regular physical activity has gained widespread attention, especially among young adults. With increased screen time and sedentary routines, many individuals find it difficult to incorporate exercise into their daily lives. Convenience often takes precedence over movement, leading to a decline in overall fitness levels. Health professionals highlight that engaging in consistent physical activity helps strengthen muscles, improve cardiovascular health, and enhance mental well-being. Activities such as walking, cycling, and stretching not only boost energy levels but also reduce stress and improve sleep quality. Moreover, developing an active lifestyle at a young age encourages long-term commitment to fitness. Educational institutions and families share the responsibility of fostering active habits by creating supportive environments, organising sports activities, and encouraging balanced routines. When young people adopt physical activity as a regular practice, they are more likely to maintain a healthier lifestyle throughout adulthood.2c:T4a5,Directions (Qs. 21-25): Read the following passage carefully and answer the questions that follow. In recent years, the importance of regular physical activity has gained widespread attention, especially among young adults. With increased screen time and sedentary routines, many individuals find it difficult to incorporate exercise into their daily lives. Convenience often takes precedence over movement, leading to a decline in overall fitness levels. Health professionals highlight that engaging in consistent physical activity helps strengthen muscles, improve cardiovascular health, and enhance mental well-being. Activities such as walking, cycling, and stretching not only boost energy levels but also reduce stress and improve sleep quality. Moreover, developing an active lifestyle at a young age encourages long-term commitment to fitness. Educational institutions and families share the responsibility of fostering active habits by creating supportive environments, organising sports activities, and encouraging balanced routines. When young people adopt physical activity as a regular practice, they are more likely to maintain a healthier lifestyle throughout adulthood.2d:T481,Embedded figure Break the question figure into its six strokes: the short upper-left edge rising to the peak, the long edge from the peak down to the right point, the long line from the left point down to that same right point, the long edge from the peak down to the bottom-left corner, the vertical from the peak to the base, and the short base itself.

The fingerprint of the figure is the crossing: the line from the left point and the line from the peak to the bottom-left corner must cut each other on the way, with the vertical running the full height between them. Option (c) carries all six strokes in exactly that position, so the whole figure can be traced on it without any turning. In option (a) the stroke from the peak stops on the left edge and never reaches the bottom-left corner; in option (b) the vertical stops half-way down and does not touch the base; in option (d) there is no line running from the left point across to the right point. Hence, option (c) is correct.2e:T648,Number grid pattern Work down each column: the first three numbers must produce the fourth. First column:

15 \times 3 \times 6 = 270

and

270 \times 10 = 2700

. Second column:

7 \times 9 \times 5 = 315

and

315 \times 10 = 3150

So the rule is (first)

\times

(second)

\times

(third)

\times 10

. Third column:

9 \times 6 \times 5 = 270

, hence

270 \times 10 = 2700

. Hence, option (c) is correct.2f:T784,संख्या-जाल का नियम प्रत्येक स्तंभ को ऊपर से नीचे देखिए: पहली तीन संख्याओं से चौथी संख्या बननी चाहिए। पहला स्तंभ:

15 \times 3 \times 6 = 270

तथा

270 \times 10 = 2700

। दूसरा स्तंभ:

7 \times 9 \times 5 = 315

तथा

315 \times 10 = 3150

।

अतः नियम है — (पहली)

\times

(दूसरी)

\times

(तीसरी)

\times 10

। तीसरा स्तंभ:

9 \times 6 \times 5 = 270

, अतः

270 \times 10 = 2700

। अतः विकल्प (c) सही है।30:T5a0,Counting triangles Count the triangles that stand on the upper horizontal line first; five points lie on it — the two outer corners, the two lower vertices of the top petal and the point where the vertical crosses it. The centre is joined to all five of those points, so choosing any two of them gives a triangle:

​^{5} C_{2} = 10

triangles. The top tip is joined to three of those points, which gives

​^{3} C_{2} = 3

more triangles. Two further triangles use the vertical as a side: the top tip, the centre and one lower vertex of the petal, on the left and on the right. So the upper half yields 10+3+2=15 triangles, and by symmetry the lower half yields 15 more. The left tip forms 2 triangles with the centre — one with each of the two left corners — and the right tip forms 2 in the same way.

Total =15+15+2+2=34. Hence, option (d) is correct.31:T9b7,त्रिभुजों की गणना सबसे पहले ऊपरी क्षैतिज रेखा पर खड़े त्रिभुज गिनिए; इस रेखा पर पाँच बिंदु हैं — दो बाहरी कोने, ऊपरी पंखुड़ी के दो निचले शीर्ष तथा वह बिंदु जहाँ ऊर्ध्वाधर रेखा इसे काटती है। केंद्र इन पाँचों बिंदुओं से जुड़ा है, अतः इनमें से कोई दो चुनने पर एक त्रिभुज बनता है:

​^{5} C_{2} = 10

त्रिभुज। ऊपरी शीर्ष इनमें से तीन बिंदुओं से जुड़ा है, जिससे

​^{3} C_{2} = 3

त्रिभुज और बनते हैं। दो त्रिभुज और बनते हैं जिनकी एक भुजा ऊर्ध्वाधर रेखा है: ऊपरी शीर्ष, केंद्र तथा पंखुड़ी का एक निचला शीर्ष — बाईं ओर एक और दाईं ओर एक। अतः ऊपरी आधे भाग से 10+3+2=15 त्रिभुज मिलते हैं, और सममिति से निचले आधे भाग से 15 और। बायाँ सिरा केंद्र के साथ 2 त्रिभुज बनाता है — बाईं ओर के दोनों कोनों के साथ एक-एक — तथा दायाँ सिरा इसी प्रकार 2 त्रिभुज बनाता है।

कुल =15+15+2+2=34। अतः विकल्प (d) सही है।32:T635,Counting quadrilaterals The figure is one big rectangle cut by two full horizontal lines and three part-length vertical lines. A rectangle is fixed by a top line, a bottom line and two verticals that both run the whole way between them, so count the verticals available for each pair of horizontals. Top strip: the two sides and the short vertical inside it give 3 verticals, so

​^{3} C_{2} = 3

rectangles. Middle strip: the two sides and the two verticals inside it give 4, so

​^{4} C_{2} = 6

rectangles. Bottom strip: the two sides and the vertical that runs through it give 3, so

​^{3} C_{2} = 3

rectangles. Taller ones: top + middle has only the two sides, giving 1; middle + bottom has 3 verticals, giving 3; the whole figure gives 1.

Total =3+6+3+1+3+1=17. Hence, option (c) is correct.33:Ta31,चतुर्भुजों की गणना आकृति एक बड़ा आयत है जिसे दो पूरी क्षैतिज रेखाएँ तथा तीन आंशिक ऊर्ध्वाधर रेखाएँ काटती हैं। कोई आयत एक ऊपरी रेखा, एक निचली रेखा तथा ऐसी दो ऊर्ध्वाधर रेखाओं से बनता है जो दोनों के बीच पूरी दूरी तक जाती हों, अतः क्षैतिज रेखाओं के प्रत्येक युग्म के लिए उपलब्ध ऊर्ध्वाधर रेखाएँ गिनिए। ऊपरी पट्टी: दोनों भुजाएँ तथा उसके भीतर की छोटी ऊर्ध्वाधर रेखा — कुल 3, अतः

​^{3} C_{2} = 3

आयत। मध्य पट्टी: दोनों भुजाएँ तथा उसके भीतर की दो ऊर्ध्वाधर रेखाएँ — कुल 4, अतः

​^{4} C_{2} = 6

आयत। निचली पट्टी: दोनों भुजाएँ तथा उसमें से गुजरती ऊर्ध्वाधर रेखा — कुल 3, अतः

​^{3} C_{2} = 3

आयत। बड़े आयत: ऊपरी + मध्य में केवल दोनों भुजाएँ हैं, अतः 1; मध्य + निचली में 3 ऊर्ध्वाधर रेखाएँ हैं, अतः 3; तथा पूरी आकृति से 1।

कुल =3+6+3+1+3+1=17। अतः विकल्प (c) सही है।34:T52e,Completing the pattern The big square is cut into four quarters and the three completed quarters carry the very same motif, each time turned over like a mirror image. In the top-left quarter the long line runs from the outer corner of the square to the centre, a short line cuts off the corner that touches the vertical middle line, and the small circle sits on the far side of the long line, near the outer edge. The bottom-left quarter is the top-left quarter turned over about the horizontal middle line, and the bottom-right quarter is the bottom-left quarter turned over about the vertical middle line — that is why the two short lines meet in a V at the bottom.

So the missing top-right quarter must be the top-left quarter turned over about the vertical middle line: the long line from the top-right corner of the square down to the centre, the short line cutting the corner at the top of the middle line, and the circle in the lower-right part. Option (a) is exactly that; in (b) an extra parallel line appears, in (c) the circle lies on the wrong side of the long line, and in (d) the long line stops short of the corner. Hence, option (a) is correct.35:T9b3,पैटर्न पूर्ण करना बड़ा वर्ग चार चौथाई भागों में बँटा है और तीनों भरे हुए भागों में एक ही आकृति है, जो हर बार दर्पण प्रतिबिंब की तरह पलटी हुई है। ऊपरी-बाएँ भाग में लंबी रेखा वर्ग के बाहरी कोने से केंद्र तक जाती है, एक छोटी रेखा उस कोने को काटती है जो ऊर्ध्वाधर मध्य रेखा को छूता है, और छोटा वृत्त लंबी रेखा के दूसरी ओर, बाहरी किनारे के पास होता है। निचला-बायाँ भाग ऊपरी-बाएँ भाग को क्षैतिज मध्य रेखा पर पलटने से बनता है, तथा निचला-दायाँ भाग निचले-बाएँ भाग को ऊर्ध्वाधर मध्य रेखा पर पलटने से — इसीलिए दोनों छोटी रेखाएँ नीचे मिलकर V बनाती हैं।

अतः लुप्त ऊपरी-दायाँ भाग ऊपरी-बाएँ भाग को ऊर्ध्वाधर मध्य रेखा पर पलटने से बनेगा: लंबी रेखा वर्ग के ऊपरी-दाएँ कोने से केंद्र तक, छोटी रेखा मध्य रेखा के ऊपरी सिरे वाले कोने को काटती हुई, तथा वृत्त निचले-दाएँ भाग में। विकल्प (a) ठीक यही है; (b) में एक अतिरिक्त समांतर रेखा है, (c) में वृत्त लंबी रेखा की गलत ओर है, तथा (d) में लंबी रेखा कोने तक नहीं पहुँचती। अतः विकल्प (a) सही है।36:T40a,Figure analogy — water image Compare the first two figures: the round dot that was at the upper end of the slanting line is at the lower end afterwards, while the diamond has moved from the lower end to the upper end. Nothing has changed from left to right — only top and bottom — so the second figure is the first figure turned over about a horizontal line, that is its water image. The shading agrees: the shaded half lies below the slanting line in the first figure and above it in the second.

Turning the third figure over in the same way makes the triangle point downwards with its dotted tip at the bottom, lifts the stalk and its dot above the (now upper) base, and moves the band of stripes into the lower half. That is option (b); (a) and (c) leave the triangle standing upright and (d) pushes the stalk away from the middle. Hence, option (b) is correct.37:T4ab,Figure analogy — shapes swapped Read the four cells of figure A: a triangle inside a square, a diamond inside a hexagon, a circle inside a pentagon and a triangle inside a circle. Figure B holds the very same four pairs, but in each pair the inner shape has become the outer one and the outer shape has become the inner one — the triangle-inside-a-square becomes a square-inside-a-triangle. Each pair also crosses over to the diagonally opposite cell: the top-left pair of A appears at the bottom-right of B, and the top-right pair of A appears at the bottom-left of B.

Figure C holds a circle inside a diamond (top-left), a square inside a circle (top-right), a triangle inside a hexagon (bottom-left) and a diamond inside a pentagon (bottom-right). Swapping each pair and sending it to the opposite cell gives a pentagon inside a diamond at the top-left, a hexagon inside a triangle at the top-right, a circle inside a square at the bottom-left and a diamond inside a circle at the bottom-right. Hence, option (a) is correct.38:T9a1,आकृति सादृश्य — आकृतियों की अदला-बदली आकृति A के चारों खाने पढ़िए: वर्ग के भीतर त्रिभुज, षट्भुज के भीतर समचतुर्भुज, पंचभुज के भीतर वृत्त तथा वृत्त के भीतर त्रिभुज। आकृति B में वही चारों युग्म हैं, परंतु प्रत्येक युग्म में भीतरी आकृति बाहरी बन गई है और बाहरी आकृति भीतरी — वर्ग के भीतर का त्रिभुज त्रिभुज के भीतर के वर्ग में बदल जाता है। प्रत्येक युग्म विकर्णतः सामने वाले खाने में भी चला जाता है: A का ऊपरी-बायाँ युग्म B के निचले-दाएँ खाने में और A का ऊपरी-दायाँ युग्म B के निचले-बाएँ खाने में आ जाता है।

आकृति C में समचतुर्भुज के भीतर वृत्त (ऊपर-बाएँ), वृत्त के भीतर वर्ग (ऊपर-दाएँ), षट्भुज के भीतर त्रिभुज (नीचे-बाएँ) तथा पंचभुज के भीतर समचतुर्भुज (नीचे-दाएँ) हैं। प्रत्येक युग्म की अदला-बदली करके उसे सामने वाले खाने में भेजने पर मिलता है: ऊपर-बाएँ समचतुर्भुज के भीतर पंचभुज, ऊपर-दाएँ त्रिभुज के भीतर षट्भुज, नीचे-बाएँ वर्ग के भीतर वृत्त तथा नीचे-दाएँ वृत्त के भीतर समचतुर्भुज। अतः विकल्प (a) सही है।39:T5a0,Letter coding — fixed shift Match 'CSJP' with 'GWNT' letter by letter:

C \to G

S \to W

J \to N

and

P \to T

— every letter moves 4 places forward. The second pair confirms the rule:

E \to I

S \to W

B \to F

and

C \to G

are all +4 as well.

Apply +4 to 'BUPQ': B+4=F, U+4=Y, P+4=T and Q+4=U. So the code is 'FYTU'. Hence, option (d) is correct.3a:T6cf,अक्षर कूट — निश्चित स्थानांतरण 'CSJP' का 'GWNT' से अक्षरशः मिलान कीजिए:

C \to G

S \to W

J \to N

तथा

P \to T

— प्रत्येक अक्षर 4 स्थान आगे बढ़ता है। दूसरा युग्म इस नियम की पुष्टि करता है:

E \to I

S \to W

B \to F

तथा

C \to G

— सभी में +4 है।

'BUPQ' पर +4 लगाइए: B+4=F, U+4=Y, P+4=T तथा Q+4=U। अतः कूट 'FYTU' है। अतः विकल्प (d) सही है।3b:T48d,Letter coding Look at the first letters only: H (8th) becomes C (3rd) and D (4th) becomes Y (25th) — both move 5 places back, counting backwards past A into Z. Now notice that 'MONEY' and 'HONEY' differ in the first letter alone; the block 'ONEY' is common to both. So that block must be coded exactly as it was in 'HONEY':

O \to Y

N \to I

E \to I

and

Y \to T

Only the first letter is new: M is the 13th letter and 13-5=8, which is H. So 'MONEY' becomes 'HYIIT'. Hence, option (b) is correct.3c:T65a,अक्षर कूट केवल पहले अक्षरों को देखिए: H (8वाँ) C (3रा) बनता है और D (4था) Y (25वाँ) बनता है — दोनों 5 स्थान पीछे जाते हैं, A से पीछे गिनते हुए Z तक। अब ध्यान दीजिए कि 'MONEY' और 'HONEY' में केवल पहला अक्षर भिन्न है; 'ONEY' खंड दोनों में उभयनिष्ठ है। अतः इस खंड का कूट वही रहेगा जो 'HONEY' में था:

O \to Y

N \to I

E \to I

तथा

Y \to T

।

केवल पहला अक्षर नया है: M 13वाँ अक्षर है और 13-5=8, अर्थात् H। अतः 'MONEY' का कूट 'HYIIT' होगा। अतः विकल्प (b) सही है।3d:T5e8,Letter coding — reverse and shift A straight letter-by-letter comparison of 'GHTMIK' with 'PMPYLJ' gives no steady pattern, so write the word backwards first: 'GHTMIK' reversed is 'KIMTHG'. Now compare with 'PMPYLJ':

K \to P

is +5,

I \to M

is +4,

M \to P

is +3,

T \to Y

is +5,

H \to L

is +4 and

G \to J

is +3.

The second pair obeys the same rule: 'NEATLY' reversed is 'YLTAEN', and +5,+4,+3,+5,+4,+3 gives D,P,W,F,I,Q — exactly 'DPWFIQ'. 'DACBYP' reversed is 'PYBCAD', so P+5=U, Y+4=C, B+3=E, C+5=H, A+4=E and D+3=G. The code is 'UCEHEG'. Hence, option (c) is correct.3e:T789,अक्षर कूट — उलटकर स्थानांतरण 'GHTMIK' और 'PMPYLJ' की सीधी अक्षरशः तुलना से कोई स्थिर नियम नहीं मिलता, अतः पहले शब्द को उलटकर लिखिए: 'GHTMIK' का उल्टा 'KIMTHG' है। अब 'PMPYLJ' से तुलना कीजिए:

K \to P

में +5,

I \to M

में +4,

M \to P

में +3,

T \to Y

में +5,

H \to L

में +4 तथा

G \to J

में +3 है।

दूसरा युग्म भी यही नियम मानता है: 'NEATLY' का उल्टा 'YLTAEN' है और +5,+4,+3,+5,+4,+3 से D,P,W,F,I,Q मिलता है — ठीक 'DPWFIQ'। 'DACBYP' का उल्टा 'PYBCAD' है, अतः P+5=U, Y+4=C, B+3=E, C+5=H, A+4=E तथा D+3=G। कूट 'UCEHEG' है। अतः विकल्प (c) सही है।3f:T451,Types of decimals A decimal is called mixed recurring when a few digits just after the decimal point do not repeat and the repetition begins only after them. 0.75 comes to an end after two digits, so it is a terminating decimal, not a recurring one at all. In

0.3333 \dots

the repetition starts at the very first decimal place, and in

0.272727 \dots

the repeating block 27 also starts at the very first decimal place, so both are pure recurring.

2.1454545 \dots

the digit 1 stands alone and never repeats, and only the block 45 repeats after it, which is exactly what a mixed recurring decimal looks like. Hence, option (d) is correct.40:T963,Incentre and orthocentre angles Two standard results are needed here, both measured on the same side BC. At the incentre:

∠ B I C = 90^{\circ} + \frac{∠ A}{2}

. At the orthocentre:

∠ B O C = 180^{\circ} - ∠ A

Substitute them in the given condition

∠ B I C - ∠ B O C = 60^{\circ}

(90^{\circ} + \frac{∠ A}{2}) - (180^{\circ} - ∠ A) = 60^{\circ}

\frac{3 ∠ A}{2} - 90^{\circ} = 60^{\circ}

\frac{3 ∠ A}{2} = 150^{\circ}

, so

∠ A = 100^{\circ}

. Hence, option (a) is correct.41:Ta59,अंतःकेंद्र तथा लंबकेंद्र के कोण यहाँ दो मानक परिणाम चाहिए, दोनों एक ही भुजा BC पर मापे जाते हैं। अंतःकेंद्र पर:

∠ B I C = 90^{\circ} + \frac{∠ A}{2}

। लंबकेंद्र पर:

∠ B O C = 180^{\circ} - ∠ A

।

इन्हें दी गई शर्त

∠ B I C - ∠ B O C = 60^{\circ}

में रखिए:

(90^{\circ} + \frac{∠ A}{2}) - (180^{\circ} - ∠ A) = 60^{\circ}

\frac{3 ∠ A}{2} - 90^{\circ} = 60^{\circ}

\frac{3 ∠ A}{2} = 150^{\circ}

, अतः

∠ A = 100^{\circ}

। अतः विकल्प (a) सही है।42:Te9c,Trigonometric ratios

\cot θ = \frac{5}{12}

means

\tan θ = \frac{12}{5}

, so take the side opposite

θ

as 12 and the side adjacent as 5. The hypotenuse is

\sqrt{12^{2} + 5^{2}} = \sqrt{169} = 13

, and since

θ

lies in the first quadrant every ratio is positive.

\sin θ = \frac{12}{13}

and

\cos θ = \frac{5}{13}

. First bracket:

\frac{1 + \sin θ}{\cos θ} = \frac{1 + \frac{12}{13}}{\frac{5}{13}} = \frac{25}{13} \times \frac{13}{5} = 5

. Second bracket:

\frac{1 - \sin θ}{\cos θ} = \frac{1 - \frac{12}{13}}{\frac{5}{13}} = \frac{1}{13} \times \frac{13}{5} = \frac{1}{5}

. The required value

= 5 - \frac{1}{5} = \frac{24}{5}

. The same thing in one line:

\frac{1 + \sin θ}{\cos θ} - \frac{1 - \sin θ}{\cos θ} = \frac{2 \sin θ}{\cos θ} = 2 \tan θ = 2 \times \frac{12}{5} = \frac{24}{5}

. Hence, option (b) is correct.43:Tfdc,त्रिकोणमितीय अनुपात

\cot θ = \frac{5}{12}

का अर्थ है

\tan θ = \frac{12}{5}

, अतः

θ

के सम्मुख भुजा 12 और संलग्न भुजा 5 लीजिए। कर्ण

\sqrt{12^{2} + 5^{2}} = \sqrt{169} = 13

है, और चूँकि

θ

प्रथम चतुर्थांश में है, सभी अनुपात धनात्मक हैं।

अतः

\sin θ = \frac{12}{13}

तथा

\cos θ = \frac{5}{13}

। पहला कोष्ठक:

\frac{1 + \sin θ}{\cos θ} = \frac{1 + \frac{12}{13}}{\frac{5}{13}} = \frac{25}{13} \times \frac{13}{5} = 5

। दूसरा कोष्ठक:

\frac{1 - \sin θ}{\cos θ} = \frac{1 - \frac{12}{13}}{\frac{5}{13}} = \frac{1}{13} \times \frac{13}{5} = \frac{1}{5}

। अभीष्ट मान

= 5 - \frac{1}{5} = \frac{24}{5}

। यही बात एक पंक्ति में:

\frac{1 + \sin θ}{\cos θ} - \frac{1 - \sin θ}{\cos θ} = \frac{2 \sin θ}{\cos θ} = 2 \tan θ = 2 \times \frac{12}{5} = \frac{24}{5}

। अतः विकल्प (b) सही है।44:T652,Tangents from an external point The two tangents drawn from an outside point are equal and make equal angles with the line joining that point to the centre. So OA bisects the

90^{\circ}

angle between them, leaving

45^{\circ}

on each side. A tangent is perpendicular to the radius at its point of contact, so triangle OPA is right-angled at P.

\sin 45^{\circ} = \frac{O P}{O A} = \frac{7}{R}

R = \frac{7}{\sin 45^{\circ}} = 7 \sqrt{2}

R = 7 \times 1.414 = 9.89

cm (to two decimal places). Hence, option (c) is correct.45:T878,बाह्य बिंदु से स्पर्श रेखाएँ किसी बाह्य बिंदु से खींची गई दोनों स्पर्श रेखाएँ बराबर होती हैं और उस बिंदु को केंद्र से मिलाने वाली रेखा से बराबर कोण बनाती हैं। अतः OA उनके बीच के

90^{\circ}

कोण को समद्विभाजित करती है, जिससे दोनों ओर

45^{\circ}

बचता है। स्पर्श रेखा स्पर्श बिंदु पर त्रिज्या के लंबवत होती है, अतः त्रिभुज OPA में P पर समकोण है।

\sin 45^{\circ} = \frac{O P}{O A} = \frac{7}{R}

R = \frac{7}{\sin 45^{\circ}} = 7 \sqrt{2}

R = 7 \times 1.414 = 9.89

cm (दो दशमलव स्थानों तक)। अतः विकल्प (c) सही है।46:T5ff,Chord and perpendicular from centre The perpendicular drawn from the centre of a circle to a chord always bisects that chord. So

A B = \frac{A C}{2} = \frac{30}{2} = 15

cm.

OA is a radius, and triangle OBA is right-angled at B, so by Pythagoras' theorem

O A^{2} = O B^{2} + A B^{2}

17^{2} = O B^{2} + 15^{2}

O B^{2} = 289 - 225 = 64

OB=8 cm Hence, option (b) is correct.47:T6ff,जीवा पर केंद्र से लंब वृत्त के केंद्र से जीवा पर खींचा गया लंब उस जीवा को सदैव समद्विभाजित करता है। अतः

A B = \frac{A C}{2} = \frac{30}{2} = 15

cm।

OA त्रिज्या है, और त्रिभुज OBA में B पर समकोण है, अतः पाइथागोरस प्रमेय से

O A^{2} = O B^{2} + A B^{2}

।

17^{2} = O B^{2} + 15^{2}

O B^{2} = 289 - 225 = 64

OB=8 cm अतः विकल्प (b) सही है।48:T756,Rectangle — perimeter and area Let the length be l and the breadth be b. Perimeter:

2 (l + b) = 14 \sqrt{2}

, so

l + b = 7 \sqrt{2}

. Area: lb=18. The difference follows from the identity

{(l - b)}^{2} = {(l + b)}^{2} - 4 l b

, so neither side has to be found separately.

{(l - b)}^{2} = {(7 \sqrt{2})}^{2} - 4 \times 18

{(l - b)}^{2} = 98 - 72 = 26

l - b = \sqrt{26}

cm Hence, option (c) is correct.49:T867,आयत — परिमाप और क्षेत्रफल माना कि लंबाई l तथा चौड़ाई b है। परिमाप:

2 (l + b) = 14 \sqrt{2}

, अतः

l + b = 7 \sqrt{2}

। क्षेत्रफल: lb=18। अंतर सर्वसमिका

{(l - b)}^{2} = {(l + b)}^{2} - 4 l b

से मिल जाता है, अतः दोनों भुजाएँ अलग-अलग ज्ञात करने की आवश्यकता नहीं।

{(l - b)}^{2} = {(7 \sqrt{2})}^{2} - 4 \times 18

{(l - b)}^{2} = 98 - 72 = 26

l - b = \sqrt{26}

cm अतः विकल्प (c) सही है।4a:T4e6,Area of rhombus — cost The area of a rhombus is half the product of its diagonals:

\frac{1}{2} \times d_{1} \times d_{2}

. Area of one tile

= \frac{1}{2} \times 15 \times 18 = 135

sq cm. Area of the whole floor

= 500 \times 135 = 67500

sq cm. Change the unit: 1 sq m =10000 sq cm, so the floor is

\frac{67500}{10000} = 6.75

sq m. Cost

= 6.75 \times 20 = 135

, that is Rs. 135. Hence, option (a) is correct.4b:T6a8,समचतुर्भुज का क्षेत्रफल — लागत समचतुर्भुज का क्षेत्रफल उसके विकर्णों के गुणनफल का आधा होता है:

\frac{1}{2} \times d_{1} \times d_{2}

। एक टाइल का क्षेत्रफल

= \frac{1}{2} \times 15 \times 18 = 135

वर्ग सेमी। पूरे फर्श का क्षेत्रफल

= 500 \times 135 = 67500

वर्ग सेमी। मात्रक बदलिए: 1 वर्ग मीटर =10000 वर्ग सेमी, अतः फर्श

\frac{67500}{10000} = 6.75

वर्ग मीटर का है। लागत

= 6.75 \times 20 = 135

, अर्थात् 135 रुपये। अतः विकल्प (a) सही है।4c:T87d,Rhombus — diagonals and area Let the diagonals be 7k and 24k. The diagonals of a rhombus bisect each other at right angles, so each side, together with the two half-diagonals, forms a right-angled triangle.

{(\frac{7 k}{2})}^{2} + {(\frac{24 k}{2})}^{2} = 25^{2}

\frac{49 k^{2} + 576 k^{2}}{4} = 625

, that is

\frac{625 k^{2}}{4} = 625

k^{2} = 4

, so k=2. The diagonals are

7 \times 2 = 14

cm and

24 \times 2 = 48

cm. Area

= \frac{1}{2} \times 14 \times 48 = 336

sq cm. Hence, option (b) is correct.4d:Ta30,समचतुर्भुज — विकर्ण और क्षेत्रफल माना कि विकर्ण 7k तथा 24k हैं। समचतुर्भुज के विकर्ण एक-दूसरे को समकोण पर समद्विभाजित करते हैं, अतः प्रत्येक भुजा दोनों अर्ध-विकर्णों के साथ मिलकर एक समकोण त्रिभुज बनाती है।

{(\frac{7 k}{2})}^{2} + {(\frac{24 k}{2})}^{2} = 25^{2}

\frac{49 k^{2} + 576 k^{2}}{4} = 625

, अर्थात्

\frac{625 k^{2}}{4} = 625

।

k^{2} = 4

, अतः k=2। विकर्ण

7 \times 2 = 14

cm तथा

24 \times 2 = 48

cm हैं। क्षेत्रफल

= \frac{1}{2} \times 14 \times 48 = 336

वर्ग सेमी। अतः विकल्प (b) सही है।4e:T4ba,LCM and divisibility A number divisible by each of 8, 12, 15 and 20 must be a multiple of their LCM.

8 = 2^{3}, 12 = 2^{2} \times 3, 15 = 3 \times 5, 20 = 2^{2} \times 5

Taking the highest power of each prime,

LCM = 2^{3} \times 3 \times 5 = 120

. The greatest four-digit number is 9999, and

9999 \div 120

leaves the remainder 39. So the required number =9999-39=9960, i.e.

120 \times 83

. Hence, option (c) is correct.4f:T624,ल.स. और विभाज्यता जो संख्या 8, 12, 15 और 20 में से प्रत्येक से विभाज्य हो, वह उनके ल.स. का गुणज होनी चाहिए।

8 = 2^{3}, 12 = 2^{2} \times 3, 15 = 3 \times 5, 20 = 2^{2} \times 5

प्रत्येक अभाज्य की उच्चतम घात लेने पर,

LCM = 2^{3} \times 3 \times 5 = 120

। सबसे बड़ी चार अंकों की संख्या 9999 है तथा

9999 \div 120

में शेषफल 39 बचता है। अतः अभीष्ट संख्या =9999-39=9960, अर्थात्

120 \times 83

। अतः सही विकल्प (c) है।50:T4c8,Speed, time and distance Formula:

time = \frac{distance}{speed}

First part:

t_{1} = \frac{80}{20} = 4

hours. New speed

= 20 \times \frac{120}{100} = 24

km/h. Second part:

t_{2} = \frac{60}{24} = 2.5

hours, i.e. 2 hours 30 minutes.

Total time =4+2.5=6.5 hours = 6 hours 30 minutes. Hence, option (a) is correct.51:T567,चाल, समय और दूरी सूत्र:

time = \frac{distance}{speed}

पहला भाग:

t_{1} = \frac{80}{20} = 4

घंटे। नई चाल

= 20 \times \frac{120}{100} = 24

km/h। दूसरा भाग:

t_{2} = \frac{60}{24} = 2.5

घंटे, अर्थात् 2 घंटे 30 मिनट।

कुल समय =4+2.5=6.5 घंटे = 6 घंटे 30 मिनट। अतः सही विकल्प (a) है।52:T471,Races: beat distance Bablu's speed

= \frac{300}{32} = 9.375

m/s. Rajkumar finishes the race in 28 seconds, so the winning moment is at t=28 s. Distance covered by Bablu in 28 s

= 9.375 \times 28 = 262.5

m. Beat distance =300-262.5=37.5 m.

Shortcut: beat distance

= race length \times \frac{time difference}{loser’s time} = 300 \times \frac{32 - 28}{32} = 37.5

m. Hence, option (a) is correct.53:T565,दौड़: जीत की दूरी बबलू की चाल

= \frac{300}{32} = 9.375

m/s। राजकुमार दौड़ 28 सेकंड में पूरी कर लेता है, अतः जीत का क्षण t=28 s है। 28 सेकंड में बबलू द्वारा तय दूरी

= 9.375 \times 28 = 262.5

m। जीत की दूरी =300-262.5=37.5 m।

शॉर्टकट: जीत की दूरी

= race length \times \frac{time difference}{loser’s time} = 300 \times \frac{32 - 28}{32} = 37.5

m। अतः सही विकल्प (a) है।54:T435,Time and work Take the total work as

LCM (7, 14) = 14

units. A and B together do

\frac{14}{7} = 2

units a day, and A alone does

\frac{14}{14} = 1

unit a day. So B alone does 2-1=1 unit a day.

Time taken by B alone

= \frac{14}{1} = 14

days. Hence, option (d) is correct.55:T5a3,समय और कार्य कुल कार्य को

LCM (7, 14) = 14

इकाई मान लीजिए। A और B मिलकर प्रतिदिन

\frac{14}{7} = 2

इकाई कार्य करते हैं तथा A अकेला प्रतिदिन

\frac{14}{14} = 1

इकाई कार्य करता है। अतः B अकेला प्रतिदिन 2-1=1 इकाई कार्य करता है।

B द्वारा अकेले लिया गया समय

= \frac{14}{1} = 14

दिन। अतः सही विकल्प (d) है।56:T64d,Parallel chords of a circle The perpendicular from the centre bisects a chord, so each chord gives a right triangle whose hypotenuse is the radius. For the 16 cm chord:

d_{1} = \sqrt{17^{2} - 8^{2}} = \sqrt{289 - 64} = \sqrt{225} = 15

cm. For the 30 cm chord:

d_{2} = \sqrt{17^{2} - 15^{2}} = \sqrt{289 - 225} = \sqrt{64} = 8

cm.

The chords lie on opposite sides of the centre, so the required distance is

d_{1} + d_{2}

. =15+8=23 cm Hence, option (a) is correct.57:T7d6,वृत्त की समांतर जीवाएँ केंद्र से जीवा पर डाला गया लंब उसे समद्विभाजित करता है, अतः प्रत्येक जीवा से एक समकोण त्रिभुज बनता है जिसका कर्ण त्रिज्या है। 16 cm की जीवा के लिए:

d_{1} = \sqrt{17^{2} - 8^{2}} = \sqrt{289 - 64} = \sqrt{225} = 15

cm। 30 cm की जीवा के लिए:

d_{2} = \sqrt{17^{2} - 15^{2}} = \sqrt{289 - 225} = \sqrt{64} = 8

cm।

दोनों जीवाएँ केंद्र के विपरीत ओर हैं, अतः अभीष्ट दूरी

d_{1} + d_{2}

होगी। =15+8=23 cm अतः सही विकल्प (a) है।58:T9a0,Chords and radius The perpendicular from the centre bisects a chord, so the half-chords are

\frac{48}{2} = 24

cm and

\frac{40}{2} = 20

cm. Let the centre be x cm from PQ; as the chords are on opposite sides, it is (22-x) cm from RS.

From the right triangle on PQ:

r^{2} = x^{2} + 24^{2}

From the right triangle on RS:

r^{2} = {(22 - x)}^{2} + 20^{2}

x^{2} + 576 = {(22 - x)}^{2} + 400

x^{2} + 576 = 484 - 44 x + x^{2} + 400

44x=884-576=308, so x=7.

r^{2} = 7^{2} + 24^{2} = 49 + 576 = 625

, hence r=25 cm. Hence, option (a) is correct.59:Tb06,जीवा और त्रिज्या केंद्र से डाला गया लंब जीवा को समद्विभाजित करता है, अतः आधी जीवाएँ

\frac{48}{2} = 24

cm तथा

\frac{40}{2} = 20

cm हैं। माना कि केंद्र, PQ से x cm दूर है; चूँकि जीवाएँ विपरीत ओर हैं, अतः वह RS से (22-x) cm दूर होगा।

PQ वाले समकोण त्रिभुज से:

r^{2} = x^{2} + 24^{2}

RS वाले समकोण त्रिभुज से:

r^{2} = {(22 - x)}^{2} + 20^{2}

x^{2} + 576 = {(22 - x)}^{2} + 400

x^{2} + 576 = 484 - 44 x + x^{2} + 400

44x=884-576=308, अतः x=7।

r^{2} = 7^{2} + 24^{2} = 49 + 576 = 625

, अतः r=25 cm। अतः सही विकल्प (a) है।5a:T688,Tangents from a point OP and OQ are radii and the chord PQ also equals the radius, so OP=OQ=PQ.

Therefore

△ O P Q

is equilateral and

∠ P O Q = 60^{\circ}

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

∠ O P A = ∠ O Q A = 90^{\circ}

. In the quadrilateral OPAQ the four angles add up to

360^{\circ}

∠ P A Q = 360^{\circ} - 90^{\circ} - 90^{\circ} - 60^{\circ} = 120^{\circ}

Hence, option (d) is correct.5b:T7d4,बाह्य बिंदु से स्पर्श रेखाएँ OP तथा OQ त्रिज्याएँ हैं और जीवा PQ भी त्रिज्या के बराबर है, अतः OP=OQ=PQ।

इसलिए

△ O P Q

समबाहु है और

∠ P O Q = 60^{\circ}

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

∠ O P A = ∠ O Q A = 90^{\circ}

। चतुर्भुज OPAQ के चारों कोणों का योग

360^{\circ}

होता है:

∠ P A Q = 360^{\circ} - 90^{\circ} - 90^{\circ} - 60^{\circ} = 120^{\circ}

अतः सही विकल्प (d) है।5c:T419,Length of a tangent The radius drawn to the point of contact is perpendicular to the tangent, so the triangle formed by the centre O, the point of contact T and the outside point P is right-angled at T.

Applying Pythagoras' theorem to the two given lengths 8 cm and 15 cm:

8^{2} + 15^{2} = 64 + 225 = 289

\sqrt{289} = 17

, so the required length is 17 cm. (8, 15, 17) is a standard Pythagorean triplet, worth memorising along with (3, 4, 5), (5, 12, 13) and (7, 24, 25). Hence, option (a) is correct.5d:T576,Equation of a line Slope

m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}} = \frac{8 - 4}{4 - 2} = \frac{4}{2} = 2

Using the point-slope form

y - y_{1} = m (x - x_{1})

with the point (2,4): y-4=2(x-2) y-4=2x-4, so y=2x.

Check: (4,8) satisfies it, since

2 \times 4 = 8

. Hence, option (a) is correct.5e:T637,रेखा का समीकरण ढाल

m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}} = \frac{8 - 4}{4 - 2} = \frac{4}{2} = 2

बिंदु (2,4) के साथ बिंदु-ढाल रूप

y - y_{1} = m (x - x_{1})

का प्रयोग करने पर: y-4=2(x-2) y-4=2x-4, अतः y=2x।

जाँच: (4,8) इसे संतुष्ट करता है, क्योंकि

2 \times 4 = 8

। अतः सही विकल्प (a) है।5f:T502,Chord and central angle Let BC be the chord and O the centre, so that

∠ B O C = 60^{\circ}

. OB=OC=9 cm because both are radii, so

△ B O C

is isosceles and its base angles are equal. Each base angle

= \frac{180^{\circ} - 60^{\circ}}{2} = 60^{\circ}

, so all three angles are

60^{\circ}

The triangle is therefore equilateral, giving BC=OB=9 cm. Hence, option (c) is correct.60:T685,जीवा और केंद्रीय कोण माना कि BC जीवा है तथा O केंद्र है, जिससे

∠ B O C = 60^{\circ}

है। OB=OC=9 cm, क्योंकि दोनों त्रिज्याएँ हैं, अतः

△ B O C

समद्विबाहु है और उसके आधार-कोण बराबर हैं। प्रत्येक आधार-कोण

= \frac{180^{\circ} - 60^{\circ}}{2} = 60^{\circ}

, अतः तीनों कोण

60^{\circ}

के हैं।

इसलिए त्रिभुज समबाहु है, जिससे BC=OB=9 cm प्राप्त होता है। अतः सही विकल्प (c) है।61:T47b,Profit and selling price A

5 %

profit means the selling price is

105 %

of the cost price.

C.P. = \frac{5250 \times 100}{105} = 5000

For a

20 %

profit,

S.P. = 5000 \times \frac{120}{100}

=6000 Shortcut:

S.P. = 5250 \times \frac{120}{105} = 6000

. Hence the selling price should be ₹6,000 and option (c) is correct.62:T539,लाभ और विक्रय मूल्य

5 %

लाभ का अर्थ है कि विक्रय मूल्य, क्रय मूल्य का

105 %

है।

C.P. = \frac{5250 \times 100}{105} = 5000

20 %

लाभ के लिए,

S.P. = 5000 \times \frac{120}{100}

=6000 शॉर्टकट:

S.P. = 5250 \times \frac{120}{105} = 6000

। अतः विक्रय मूल्य ₹6,000 होना चाहिए और सही विकल्प (c) है।1d:["$","$L27",null,{"mode":"exam","dropped":1,"bilingual":true,"choiceSubjects":[],"questions":[{"id":2101,"n":1,"subject":"English Language","stem":"Select the most appropriate synonym of the word: Contract","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"Diminish","textHi":null,"imageUrl":null},{"key":"b","text":"Lessen","textHi":null,"imageUrl":null},{"key":"c","text":"Enlarge","textHi":null,"imageUrl":null},{"key":"d","text":"Shrink","textHi":null,"imageUrl":null}],"correct":"c","sol":"Word meaning: Contract\nContract (verb) means to decrease in size, number or range — to become smaller.\nDiminish, Lessen and Shrink all carry exactly this same sense of becoming smaller, so none of them can be singled out from the other two.\nEnlarge means to make or become larger or more extensive, and it is the one word in the set that stands apart from the sense of 'Contract'.\nHence, option (c) is the correct answer.","solHi":null,"pos":2,"neg":0.5},{"id":2102,"n":2,"subject":"English Language","stem":"Select the most appropriate synonym of the word: Falter","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"Equivocate","textHi":null,"imageUrl":null},{"key":"b","text":"Clarify","textHi":null,"imageUrl":null},{"key":"c","text":"Hesitate","textHi":null,"imageUrl":null},{"key":"d","text":"Confirm","textHi":null,"imageUrl":null}],"correct":"c","sol":"Synonym: Falter\nFalter means to lose strength or steadiness, to waver or pause because confidence is lacking.\nHesitate means to pause before acting or speaking out of uncertainty — the same idea, so it is the synonym.\nEquivocate means to speak ambiguously so as to avoid the truth; Clarify means to make something clear; Confirm means to establish that something is true — none of these matches 'Falter'.\nHence, option (c) is correct.","solHi":null,"pos":2,"neg":0.5},{"id":2103,"n":3,"subject":"English Language","stem":"Choose the correctly spelt word:","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"Saison","textHi":null,"imageUrl":null},{"key":"b","text":"Siason","textHi":null,"imageUrl":null},{"key":"c","text":"Saeson","textHi":null,"imageUrl":null},{"key":"d","text":"Sayson","textHi":null,"imageUrl":null}],"correct":"a","sol":"Correct spelling\nThe correctly spelt word is 'Saison' — S-A-I-S-O-N.\nThe vowel pair 'ai' must stay together right after the initial S.\n'Siason', 'Saeson' and 'Sayson' all disturb that vowel cluster and are not accepted spellings.\nHence, option (a) is correct.","solHi":null,"pos":2,"neg":0.5},{"id":2104,"n":4,"subject":"English Language","stem":"Choose the correctly spelt word:","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"Literary","textHi":null,"imageUrl":null},{"key":"b","text":"Litery","textHi":null,"imageUrl":null},{"key":"c","text":"Literery","textHi":null,"imageUrl":null},{"key":"d","text":"Litarery","textHi":null,"imageUrl":null}],"correct":"a","sol":"Correct spelling\nThe correctly spelt word is 'Literary' — L-I-T-E-R-A-R-Y.\nIt is formed from 'liter(ature)' + the adjective ending '-ary', so the letter 'a' comes only in that ending.\n'Litery' drops the 'ar' altogether, while 'Literery' and 'Litarery' put an 'e' or an 'a' in the wrong slot.\nHence, option (a) is correct.","solHi":null,"pos":2,"neg":0.5},{"id":2105,"n":5,"subject":"English Language","stem":"Choose the correct meaning of the idiom: To dampen someone's spirits","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"To make someone feel more energetic","textHi":null,"imageUrl":null},{"key":"b","text":"To make someone feel less enthusiastic or hopeful","textHi":null,"imageUrl":null},{"key":"c","text":"To share a drink with someone","textHi":null,"imageUrl":null},{"key":"d","text":"To cheer someone up dramatically","textHi":null,"imageUrl":null}],"correct":"b","sol":"Idiom meaning\nThe idiom 'to dampen someone's spirits' means to make someone feel less enthusiastic, cheerful or hopeful.\n'Dampen' literally means to make slightly wet, and a damp fire burns low — that is the image behind the idiom: enthusiasm is put out.\nE.g. The bad weather really dampened our spirits during the outdoor festival.\nOptions (a) and (d) reverse the meaning, and (c) takes 'spirits' literally as a drink.\nHence, option (b) is correct.","solHi":null,"pos":2,"neg":0.5},{"id":2106,"n":6,"subject":"English Language","stem":"Choose the correct meaning of the idiom: Up in arms","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"To be celebrating a victory with raised hands","textHi":null,"imageUrl":null},{"key":"b","text":"To be very angry and protesting strongly, often collectively.","textHi":null,"imageUrl":null},{"key":"c","text":"To be physically fighting with weapons","textHi":null,"imageUrl":null},{"key":"d","text":"To be confused and disoriented","textHi":null,"imageUrl":null}],"correct":"b","sol":"Idiom meaning\nThe idiom 'up in arms' means to be very angry about something and to protest about it strongly, usually as a group.\n'Arms' here means weapons — the picture is of people rising in revolt, so the idiom is about loud collective protest, not actual fighting.\nE.g. The local residents were up in arms over the council's decision to close the park.\nOption (c) takes the idiom literally, while (a) and (d) do not fit the sense of anger at all.\nHence, option (b) is correct.","solHi":null,"pos":2,"neg":0.5},{"id":2107,"n":7,"subject":"English Language","stem":"Which of the following sentences uses the word "sheer" with a different meaning from the others?","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"The team succeeded through sheer hard work and patience.","textHi":null,"imageUrl":null},{"key":"b","text":"It was sheer determination that helped her finish the task.","textHi":null,"imageUrl":null},{"key":"c","text":"The climbers hesitated before attempting the sheer cliff face.","textHi":null,"imageUrl":null},{"key":"d","text":"She advanced through sheer force of will.","textHi":null,"imageUrl":null}],"correct":"c","sol":"Same word, different sense\n'Sheer' has two common senses: (i) nothing but, complete or absolute, and (ii) very steep, almost vertical.\nIn (a) 'sheer hard work', in (b) 'sheer determination' and in (d) 'sheer force of will', the word means complete or absolute — it only intensifies the noun.\nIn (c) 'the sheer cliff face', 'sheer' describes the shape of the cliff — steep and almost vertical, a physical quality, not an intensifier.\nSo (c) is the sentence that uses the word in a different sense.\nHence, option (c) is correct.","solHi":null,"pos":2,"neg":0.5},{"id":2108,"n":8,"subject":"English Language","stem":"Select the sentence containing the homonym of the highlighted word:\nShe clasped her friend closely, offering comfort without saying a word.","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"She clasped the letter tightly in her hand, afraid it might slip away.","textHi":null,"imageUrl":null},{"key":"b","text":"He reached out to clasp her wrist firmly before she lost her balance.","textHi":null,"imageUrl":null},{"key":"c","text":"The mother clasped her child in a warm embrace after a long absence.","textHi":null,"imageUrl":null},{"key":"d","text":"The necklace slipped open because the clasp at the back had broken.","textHi":null,"imageUrl":null}],"correct":"d","sol":"Homonym of a word\nIn the given sentence 'clasped' is a verb meaning to hold or embrace tightly.\nA homonym is a word with the same spelling or sound but a different meaning, so the answer must use 'clasp' in another sense.\nIn (a), (b) and (c) 'clasp/clasped' is again the verb 'to hold or embrace' — the very same meaning.\nIn (d) 'the clasp at the back' is a noun meaning a fastener or catch on a piece of jewellery, which is the different meaning required.\nHence, option (d) is correct.","solHi":null,"pos":2,"neg":0.5},{"id":2109,"n":9,"subject":"English Language","stem":"Choose the correct one-word substitute for:\nA feeling of intense pleasure or joy.","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"Despair","textHi":null,"imageUrl":null},{"key":"b","text":"Ecstasy","textHi":null,"imageUrl":null},{"key":"c","text":"Anguish","textHi":null,"imageUrl":null},{"key":"d","text":"Melancholy","textHi":null,"imageUrl":null}],"correct":"b","sol":"One-word substitution\nThe word for a feeling of intense pleasure or joy is 'Ecstasy'.\nIt comes from a Greek root meaning 'to stand outside oneself' — joy so great that one is carried away by it.\nDespair is total loss of hope, Anguish is severe mental or physical pain, and Melancholy is quiet, thoughtful sadness — all three are the opposite kind of feeling.\nHence, option (b) is correct.","solHi":null,"pos":2,"neg":0.5},{"id":2110,"n":10,"subject":"English Language","stem":"Choose the correct one-word substitute for:\nA person who takes particular pleasure in fine food and drink.","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"Connoisseur","textHi":null,"imageUrl":null},{"key":"b","text":"Epicure","textHi":null,"imageUrl":null},{"key":"c","text":"Gourmet","textHi":null,"imageUrl":null},{"key":"d","text":"Gourmand","textHi":null,"imageUrl":null}],"correct":"b","sol":"One-word substitution\n'Epicure' is the exact word for a person who takes particular pleasure in fine food and drink.\nThe name goes back to the philosopher Epicurus, whose followers were said to seek refined enjoyment — hence the delicate, discriminating pleasure the word suggests.\nConnoisseur is an expert judge in any matter of taste (art, music, wine), not food and drink alone.\nGourmet stresses expert knowledge of food and cooking rather than the pleasure taken in it, and Gourmand suggests a person who eats greedily or too much.\nSince the definition speaks of the pleasure taken in fine food and drink, option (b) is correct.","solHi":null,"pos":2,"neg":0.5},{"id":2111,"n":11,"subject":"English Language","stem":"Change the following sentence into the Active form.\nThe ancient ruins might have been preserved by a unique geological process.","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"A unique geological process might have preserved the ancient ruins.","textHi":null,"imageUrl":null},{"key":"b","text":"The ancient ruins should have been preserved by a unique geological process.","textHi":null,"imageUrl":null},{"key":"c","text":"A unique geological process would have preserved the ancient ruins.","textHi":null,"imageUrl":null},{"key":"d","text":"The ancient ruins had been preserved by a unique geological process.","textHi":null,"imageUrl":null}],"correct":"a","sol":"Passive to active voice\nIn the given passive sentence the agent is 'a unique geological process', so it becomes the subject of the active sentence.\n'The ancient ruins' then becomes the object, and the verb 'might have been preserved' loses 'been' to give 'might have preserved'.\n $\"figure\"/$ \nThe modal 'might' must be kept as it is: changing it to 'should' in (b) or 'would' in (c) changes the meaning.\nOption (d) is still passive, so it is no transformation at all.\nActive: A unique geological process might have preserved the ancient ruins. Hence, option (a) is correct.","solHi":null,"pos":2,"neg":0.5},{"id":2112,"n":12,"subject":"English Language","stem":"Change the following sentence into the Active form.\nSuch a monumental task would be undertaken by only a few dedicated individuals.","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"Only a few dedicated individuals would undertake such a monumental task.","textHi":null,"imageUrl":null},{"key":"b","text":"Such a monumental task should be undertaken by only a few dedicated individuals.","textHi":null,"imageUrl":null},{"key":"c","text":"Only a few dedicated individuals should undertake such a monumental task.","textHi":null,"imageUrl":null},{"key":"d","text":"Such a monumental task could be undertaken by only a few dedicated individuals.","textHi":null,"imageUrl":null}],"correct":"a","sol":"Passive to active voice\nThe agent in the passive sentence is 'only a few dedicated individuals', so it becomes the subject of the active form.\n'Such a monumental task' becomes the object, and 'would be undertaken' loses 'be' to give the active verb 'would undertake'.\nThe modal must not be touched: (c) replaces 'would' with 'should', which is a different degree of obligation.\nOptions (b) and (d) remain passive in structure, so they are not active transformations at all.\nActive: Only a few dedicated individuals would undertake such a monumental task. Hence, option (a) is correct.","solHi":null,"pos":2,"neg":0.5},{"id":2113,"n":13,"subject":"English Language","stem":"One of these words is spelled incorrectly. Which one is it ?","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"Miscellaneous","textHi":null,"imageUrl":null},{"key":"b","text":"Horendousness","textHi":null,"imageUrl":null},{"key":"c","text":"Recommend","textHi":null,"imageUrl":null},{"key":"d","text":"Grateful","textHi":null,"imageUrl":null}],"correct":"b","sol":"Incorrectly spelt word\nThe misspelt word is 'Horendousness'; the correct spelling is 'Horrendousness', with a double 'r'.\nIt is built as horrend(ous) + -ness, and the base word 'horrendous' itself keeps 'rr', just like 'horror' and 'horrible'.\nMiscellaneous, Recommend and Grateful are all spelt correctly.\nHence, option (b) is correct.","solHi":null,"pos":2,"neg":0.5},{"id":2114,"n":14,"subject":"English Language","stem":"One of these words is spelled incorrectly. Which one is it?","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"Recommend","textHi":null,"imageUrl":null},{"key":"b","text":"Irresistible","textHi":null,"imageUrl":null},{"key":"c","text":"Indispensable","textHi":null,"imageUrl":null},{"key":"d","text":"Unintelligeble","textHi":null,"imageUrl":null}],"correct":"d","sol":"Incorrectly spelt word\nThe misspelt word is 'Unintelligeble'; the correct spelling is 'Unintelligible', with '-ible' at the end.\nWords built on a Latin stem that cannot stand alone as an English word — intellig-, irresist-, indispens- — normally take '-ible'.\nRecommend, Irresistible and Indispensable are all spelt correctly here.\nHence, option (d) is correct.","solHi":null,"pos":2,"neg":0.5},{"id":2115,"n":15,"subject":"English Language","stem":"Select the option that expresses the given sentence in indirect voice.\nThe coach said, "The players who missed practice today must report early tomorrow, or they will face strict action."","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"The coach said that the players who missed practice today must report early tomorrow, or they will face strict action.","textHi":null,"imageUrl":null},{"key":"b","text":"The coach said that the players who had missed practice that day would have to report early the next day, or they would face strict action.","textHi":null,"imageUrl":null},{"key":"c","text":"The coach said that the players who had missed practice that day must report early tomorrow, or they will face strict action.","textHi":null,"imageUrl":null},{"key":"d","text":"The coach said that the players who missed practice the day before would have to report early tomorrow, or they would face strict action.","textHi":null,"imageUrl":null}],"correct":"b","sol":"Direct to indirect speech\nThe reporting verb 'said' is in the past tense, so the whole reported part must be back-shifted.\n'missed' becomes 'had missed', the modal 'must' becomes 'would have to', and 'will face' becomes 'would face'.\nThe time words also move one step away from the moment of speaking: 'today' becomes 'that day' and 'tomorrow' becomes 'the next day'.\n $\"figure\"/$ \nOption (a) changes nothing, (c) keeps 'must … tomorrow … will', and (d) keeps 'tomorrow' and wrongly makes 'today' into 'the day before'.\nOnly option (b) applies every change, so option (b) is correct.","solHi":null,"pos":2,"neg":0.5},{"id":2116,"n":16,"subject":"English Language","stem":"Select the option that expresses the given sentence in indirect voice. She said to me, "I was waiting for you, but the bus didn't arrive, so I had been standing at the stop since then."","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"She told me that she was waiting for me, but the bus didn't arrive, so she has been standing at the stop since then.","textHi":null,"imageUrl":null},{"key":"b","text":"She told me that she had been waiting for me, but the bus didn't arrive, so she had been standing at the stop since then.","textHi":null,"imageUrl":null},{"key":"c","text":"She told me that she had been waiting for me, but the bus had arrived late, so she had been standing at the stop since then.","textHi":null,"imageUrl":null},{"key":"d","text":"She told me that she had been waiting for me, but the bus didn't arrive, so she has been standing at the stop since then.","textHi":null,"imageUrl":null}],"correct":"b","sol":"Direct to indirect speech\n'She said to me' becomes 'She told me', because 'say to' changes to 'tell' when the listener is named.\nThe pronouns shift with the speaker and listener: 'I' becomes 'she' and 'you' becomes 'me'.\nThe past continuous 'was waiting' back-shifts to the past perfect continuous 'had been waiting'.\n $\"figure\"/$ \n'had been standing' is already past perfect continuous, which has no earlier form, so it stays unchanged — that rules out (a) and (d), which use 'has been standing'.\nOption (c) alters the sense by turning 'the bus didn't arrive' into 'the bus had arrived late'.\nHence, option (b) is correct.","solHi":null,"pos":2,"neg":0.5},{"id":2117,"n":17,"subject":"English Language","stem":"Select the option that expresses the given sentence in direct voice. The teacher remarked that the students were preparing for an important examination that month.","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"The teacher remarked, "The students are preparing for an important examination this month."","textHi":null,"imageUrl":null},{"key":"b","text":"The teacher remarked, "The students were preparing for an important examination this month."","textHi":null,"imageUrl":null},{"key":"c","text":"The teacher said, "The students have prepared for an important examination that month."","textHi":null,"imageUrl":null},{"key":"d","text":"The teacher remarked, "The students had been preparing for an important examination this month."","textHi":null,"imageUrl":null}],"correct":"a","sol":"Indirect to direct speech\nGoing from indirect to direct speech, every back-shift made while reporting has to be undone.\n'that' is replaced by a comma and inverted commas, the past continuous 'were preparing' returns to the present continuous 'are preparing', and 'that month' returns to 'this month'.\n $\"figure\"/$ \nThe reporting verb 'remarked' itself is not changed, so (c) with 'said' is wrong on two counts.\nOptions (b) and (d) keep a past-tense verb inside the quotation, which cannot be the speaker's original words.\nDirect: The teacher remarked, "The students are preparing for an important examination this month." Hence, option (a) is correct.","solHi":null,"pos":2,"neg":0.5},{"id":2118,"n":18,"subject":"English Language","stem":"Choose the correct passive voice transformation of the sentence: The audience had to follow the instructions very carefully.","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"The instructions had to have been followed very carefully by the audience.","textHi":null,"imageUrl":null},{"key":"b","text":"The instructions were followed very carefully by the audience.","textHi":null,"imageUrl":null},{"key":"c","text":"The instructions had been followed very carefully by the audience.","textHi":null,"imageUrl":null},{"key":"d","text":"The instructions had to be followed very carefully by the audience.","textHi":null,"imageUrl":null}],"correct":"d","sol":"Active to passive voice\nThe object 'the instructions' becomes the subject, and the doer 'the audience' moves into a 'by' phrase.\nWith the semi-modal 'had to', the passive is formed as 'had to be + V3', so 'had to follow' becomes 'had to be followed'.\n $\"figure\"/$ \nOption (a) adds 'have been' and gives 'had to have been followed', which shifts the action into a completed past.\nOption (b) drops the idea of obligation completely, and (c) turns the sentence into a plain past perfect passive.\nPassive: The instructions had to be followed very carefully by the audience. Hence, option (d) is correct.","solHi":null,"pos":2,"neg":0.5},{"id":2119,"n":19,"subject":"English Language","stem":"Choose the correct passive voice transformation of the sentence:\nPeople believe that the young scientist will achieve remarkable success in the future.","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"The young scientist is believed to achieve remarkable success in the future.","textHi":null,"imageUrl":null},{"key":"b","text":"It is believed that the young scientist will achieve remarkable success in the future.","textHi":null,"imageUrl":null},{"key":"c","text":"The young scientist is believed that he will achieve remarkable success in the future.","textHi":null,"imageUrl":null},{"key":"d","text":"It was believed that the young scientist has achieved remarkable success in the future.","textHi":null,"imageUrl":null}],"correct":"a","sol":"Active to passive voice\nThe sentence has the pattern: People + believe + that + subject + verb.\nIn such sentences the person spoken about is lifted out of the clause and made the subject of the passive: Subject + is believed + to + V1.\n $\"figure\"/$ \nSo 'the young scientist' becomes the subject and 'will achieve' becomes the infinitive 'to achieve', while 'in the future' already carries the sense of futurity.\nOption (c) mixes the two structures and keeps 'that he will achieve' after 'is believed', which is ungrammatical.\nOption (d) shifts the reporting verb to 'was believed' and then uses 'has achieved … in the future', a clear tense clash.\nPassive: The young scientist is believed to achieve remarkable success in the future. Hence, option (a) is correct.","solHi":null,"pos":2,"neg":0.5},{"id":2120,"n":20,"subject":"English Language","stem":"Select the option that expresses the given sentence in direct voice.\nThe visitor, sounding curious, asked the guide where she could see the ancient artefacts.","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"The visitor said to the guide, "Where could she see the ancient artefacts?"","textHi":null,"imageUrl":null},{"key":"b","text":"The visitor said, "Where can she see the ancient artefacts?"","textHi":null,"imageUrl":null},{"key":"c","text":"The visitor asked the guide, "Where can I see the ancient artefacts?"","textHi":null,"imageUrl":null},{"key":"d","text":"The visitor asked, "Where could I see the ancient artefacts?"","textHi":null,"imageUrl":null}],"correct":"c","sol":"Indirect to direct speech\nThe reported part is a question, so in direct speech it must be written in question form, with 'Where' first and a question mark inside the inverted commas.\nThe reporting verb 'asked' and the listener 'the guide' are both kept, since the visitor is speaking to the guide.\n $\"figure\"/$ \nThe pronoun goes back to the speaker's own words: 'she' becomes 'I', and the back-shifted 'could' returns to 'can'.\nOption (a) keeps 'could' and 'she', (b) drops the listener and keeps 'she', and (d) keeps 'could' and omits 'the guide'.\nDirect: The visitor asked the guide, "Where can I see the ancient artefacts?" Hence, option (c) is correct.","solHi":null,"pos":2,"neg":0.5},{"id":2121,"n":21,"subject":"English Language","stem":"Identify the tense of the verb "has gained" in the first sentence.","stemHi":null,"context":"$28","contextHi":null,"options":[{"key":"a","text":"Simple Present","textHi":null,"imageUrl":null},{"key":"b","text":"Present Perfect","textHi":null,"imageUrl":null},{"key":"c","text":"Present Continuous","textHi":null,"imageUrl":null},{"key":"d","text":"Simple Past","textHi":null,"imageUrl":null}],"correct":"b","sol":"Present perfect tense\nThe verb form used in the first sentence is 'has gained' — the auxiliary 'has' followed by the past participle 'gained'.\n'Has/have + V3 (past participle)' is the structure of the Present Perfect tense.\nIt fits the sense here: the attention began to grow earlier and the effect continues 'in recent years'.\nSimple Present would require 'gains', Present Continuous 'is gaining' and Simple Past 'gained', so none of those labels applies.\nHence, option (b) is correct.","solHi":null,"pos":2,"neg":0.5},{"id":2122,"n":22,"subject":"English Language","stem":"Choose the option that correctly changes this sentence into passive voice:\n"Health professionals highlight the benefits of regular physical activity."","stemHi":null,"context":"$29","contextHi":null,"options":[{"key":"a","text":"Health professionals are highlighted by the benefits of regular physical activity.","textHi":null,"imageUrl":null},{"key":"b","text":"The benefits of regular physical activity were highlighted by health professionals.","textHi":null,"imageUrl":null},{"key":"c","text":"The benefits of regular physical activity are highlighted by health professionals.","textHi":null,"imageUrl":null},{"key":"d","text":"The benefits of regular physical activity is highlighted by health professionals.","textHi":null,"imageUrl":null}],"correct":"c","sol":"Active to passive voice\nThe given sentence is in the Simple Present: subject 'Health professionals' + verb 'highlight' + object 'the benefits of regular physical activity'.\nRule for the passive of the Simple Present: object + is/are + V3 + by + agent.\nThe object 'The benefits ...' becomes the new subject; 'benefits' is plural, so the auxiliary must be 'are' and the participle 'highlighted'.\nThis gives: The benefits of regular physical activity are highlighted by health professionals.\nOption (d) uses the singular 'is', option (b) shifts the tense to the past with 'were', and option (a) reverses the doer and the receiver of the action.\nHence, option (c) is correct.","solHi":null,"pos":2,"neg":0.5},{"id":2123,"n":23,"subject":"English Language","stem":"What does the word "sedentary" most nearly mean as used in the passage?","stemHi":null,"context":"$2a","contextHi":null,"options":[{"key":"a","text":"Active","textHi":null,"imageUrl":null},{"key":"b","text":"Energetic","textHi":null,"imageUrl":null},{"key":"c","text":"Inactive","textHi":null,"imageUrl":null},{"key":"d","text":"Restless","textHi":null,"imageUrl":null}],"correct":"c","sol":"Vocabulary: Sedentary\n'Sedentary' describes a way of living that involves a great deal of sitting and very little physical movement.\nIn the passage it is paired with 'increased screen time' as a reason why people 'find it difficult to incorporate exercise into their daily lives'.\nSo the word must carry the sense of not moving about — and 'Inactive' means exactly that: not engaging in physical activity.\n'Active' and 'Energetic' mean the very opposite, while 'Restless' means unable to stay still, which again implies movement.\nHence, option (c) is correct.","solHi":null,"pos":2,"neg":0.5},{"id":2124,"n":24,"subject":"English Language","stem":"What is the antonym of the word "consistent" as used in the passage?","stemHi":null,"context":"$2b","contextHi":null,"options":[{"key":"a","text":"Regular","textHi":null,"imageUrl":null},{"key":"b","text":"Steady","textHi":null,"imageUrl":null},{"key":"c","text":"Sporadic","textHi":null,"imageUrl":null},{"key":"d","text":"Persistent","textHi":null,"imageUrl":null}],"correct":"c","sol":"Antonym: Consistent\nIn the passage 'consistent physical activity' means activity that is done regularly, in an unbroken and steady manner.\nIts antonym must therefore mean 'happening irregularly, only now and then'.\n'Sporadic' means occurring at irregular intervals or only occasionally, so it is the exact opposite of 'consistent'.\n'Regular', 'Steady' and 'Persistent' all repeat the idea of continuity, so they are synonyms of 'consistent', not antonyms.\nHence, option (c) is correct.","solHi":null,"pos":2,"neg":0.5},{"id":2125,"n":25,"subject":"English Language","stem":"According to the passage, how can institutions encourage physical activity among young people?","stemHi":null,"context":"$2c","contextHi":null,"options":[{"key":"a","text":"By limiting recreational time","textHi":null,"imageUrl":null},{"key":"b","text":"By organising activities and supporting balanced routines","textHi":null,"imageUrl":null},{"key":"c","text":"By increasing academic workload","textHi":null,"imageUrl":null},{"key":"d","text":"By discouraging outdoor movement","textHi":null,"imageUrl":null}],"correct":"b","sol":"Reading comprehension: detail\nThe third paragraph says that institutions and families foster active habits 'by creating supportive environments, organising sports activities, and encouraging balanced routines'.\nOption (b) restates precisely these measures — organising activities and supporting balanced routines.\nLimiting recreational time, increasing academic workload and discouraging outdoor movement are nowhere suggested; each of them would in fact reduce physical activity.\nHence, option (b) is correct.","solHi":null,"pos":2,"neg":0.5},{"id":2126,"n":26,"subject":"General Intelligence","stem":"The sum of the ages of A and B is 45 years. A is 15 years older than B. What is the age of

B

?","stemHi":"A और B की आयु का योग 45 वर्ष है। A, B से 15 वर्ष बड़ा है।

B

की आयु कितनी है ?","context":null,"contextHi":null,"options":[{"key":"a","text":"15 years","textHi":"15 वर्ष","imageUrl":null},{"key":"b","text":"20 years","textHi":"20 वर्ष","imageUrl":null},{"key":"c","text":"25 years","textHi":"25 वर्ष","imageUrl":null},{"key":"d","text":"30 years","textHi":"30 वर्ष","imageUrl":null}],"correct":"a","sol":"Ages: sum and difference\nLet the age of B be x years; then A, being 15 years older, is x+15 years.\nTheir sum is 45 years, so x+(x+15)=45.\n2x+15=45\n2x=30, hence x=15.\nCheck: B is 15 years and A is 15+15=30 years, and 15+30=45.\nSo B is 15 years old and option (a) is correct.","solHi":"आयु: योग और अंतर\nमाना कि B की आयु x वर्ष है; तब A, जो 15 वर्ष बड़ा है, की आयु x+15 वर्ष होगी।\nउनका योग 45 वर्ष है, अतः x+(x+15)=45।\n2x+15=45\n2x=30, अतः x=15।\nजाँच: B की आयु 15 वर्ष तथा A की आयु 15+15=30 वर्ष, और 15+30=45।\nअतः B की आयु 15 वर्ष है और सही विकल्प (a) है।","pos":2,"neg":0.5},{"id":2127,"n":27,"subject":"General Intelligence","stem":"What is the simple interest on ₹6000 at 10% per annum for 4 years ?","stemHi":"₹6000 पर 10% वार्षिक दर से 4 वर्षों का साधारण ब्याज कितना होगा ?","context":null,"contextHi":null,"options":[{"key":"a","text":"₹2600","textHi":null,"imageUrl":null},{"key":"b","text":"₹2400","textHi":null,"imageUrl":null},{"key":"c","text":"₹2500","textHi":null,"imageUrl":null},{"key":"d","text":"₹2800","textHi":null,"imageUrl":null}],"correct":"b","sol":"Simple interest\nFormula:

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

\nHere the principal P=6000, the rate

R = 10 %

per annum and the time T=4 years.\n

S.I. = \frac{6000 \times 10 \times 4}{100}

= \frac{240000}{100} = 2400

\nHence the simple interest is ₹2,400 and option (b) is correct.","solHi":"साधारण ब्याज\nसूत्र:

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

\nयहाँ मूलधन P=6000, दर

R = 10 %

वार्षिक तथा समय T=4 वर्ष है।\n

S.I. = \frac{6000 \times 10 \times 4}{100}

= \frac{240000}{100} = 2400

\nअतः साधारण ब्याज ₹2,400 है और सही विकल्प (b) है।","pos":2,"neg":0.5},{"id":2128,"n":28,"subject":"General Intelligence","stem":"A person walks 7 km towards the north, then turns to his right and walks 5 km . He then turns to his right again and walks

7 km . n

which direction is he now facing?","stemHi":"एक व्यक्ति उत्तर की ओर 7 km चलता है, फिर अपनी दाईं ओर मुड़कर 5 km चलता है। इसके बाद वह पुनः अपनी दाईं ओर मुड़ता है और

7 km . n

अब उसका मुख किस दिशा में है?","context":null,"contextHi":null,"options":[{"key":"a","text":"North","textHi":"उत्तर","imageUrl":null},{"key":"b","text":"South","textHi":"दक्षिण","imageUrl":null},{"key":"c","text":"East","textHi":"पूर्व","imageUrl":null},{"key":"d","text":"West","textHi":"पश्चिम","imageUrl":null}],"correct":"b","sol":"Direction sense: turns\nStart facing north and walk 7 km.\nA right turn always moves the face one quarter-turn clockwise, so from north he now faces east; he walks 5 km in that direction.\n $\"figure\"/$ \nA second right turn takes him one more quarter-turn clockwise, from east to south, and the last 7 km are walked facing south.\nWalking does not change the direction faced, so he is finally facing south.\nHence, option (b) is correct.","solHi":"दिशा-ज्ञान: मोड़\nवह पहले उत्तर की ओर मुख करके 7 km चलता है।\nदाईं ओर मुड़ने पर मुख सदैव एक चौथाई घड़ी की दिशा में घूमता है, अतः उत्तर से अब उसका मुख पूर्व की ओर हो जाता है; इसी दिशा में वह 5 km चलता है।\n $\"figure\"/$ \nदूसरी बार दाईं ओर मुड़ने पर मुख एक और चौथाई घूमकर पूर्व से दक्षिण हो जाता है, और अंतिम 7 km वह दक्षिण की ओर मुख करके चलता है।\nचलने से मुख की दिशा नहीं बदलती, अतः अंत में उसका मुख दक्षिण की ओर है।\nअतः विकल्प (b) सही है।","pos":2,"neg":0.5},{"id":2129,"n":29,"subject":"General Intelligence","stem":"A person walks 20 km east, then 20 km north, and finally 20 km west. How far is he from his starting point?","stemHi":"एक व्यक्ति 20 km पूर्व की ओर चलता है, फिर 20 km उत्तर की ओर और अंत में 20 km पश्चिम की ओर चलता है। वह अपने प्रारंभिक बिंदु से कितनी दूर है?","context":null,"contextHi":null,"options":[{"key":"a","text":"10 km","textHi":null,"imageUrl":null},{"key":"b","text":"15 km","textHi":null,"imageUrl":null},{"key":"c","text":"20 km","textHi":null,"imageUrl":null},{"key":"d","text":"5 km","textHi":null,"imageUrl":null}],"correct":"c","sol":"Direction sense: distance\nTake the starting point as the origin: 20 km east, then 20 km north, then 20 km west.\n $\"figure\"/$ \nThe 20 km walked east and the 20 km walked west are equal and opposite, so together they bring him back to the vertical line through the start.\nOnly the 20 km walked north is left over, so the finishing point lies straight north of the starting point.\nTherefore the required distance is 20 km.\nHence, option (c) is correct.","solHi":"दिशा-ज्ञान: दूरी\nप्रारंभिक बिंदु को मूल बिंदु मानिए: पहले 20 km पूर्व, फिर 20 km उत्तर, फिर 20 km पश्चिम।\n $\"figure\"/$ \nपूर्व की ओर चले गए 20 km तथा पश्चिम की ओर चले गए 20 km बराबर एवं विपरीत हैं, अतः दोनों मिलकर उसे प्रारंभिक बिंदु से गुजरने वाली ऊर्ध्वाधर रेखा पर लौटा देते हैं।\nशेष केवल उत्तर की ओर चले गए 20 km बचते हैं, अतः अंतिम बिंदु प्रारंभिक बिंदु के ठीक उत्तर में है।\nइसलिए अभीष्ट दूरी 20 km है।\nअतः विकल्प (c) सही है।","pos":2,"neg":0.5},{"id":2130,"n":30,"subject":"General Intelligence","stem":"In the following questions some issues are provided to you. you have to mark the appropriate answer logically that can be taken in such circumstances. You notice a mistake in a report that has already been submitted to the client. What should you do ?","stemHi":"निम्नलिखित प्रश्न में आपको कुछ स्थितियाँ दी गई हैं। आपको तर्क के आधार पर वह उपयुक्त उत्तर चुनना है जो ऐसी परिस्थितियों में अपनाया जा सकता है। आप एक ऐसी रिपोर्ट में गलती देखते हैं जो पहले ही ग्राहक को सौंपी जा चुकी है। आपको क्या करना चाहिए ?","context":null,"contextHi":null,"options":[{"key":"a","text":"Ignore it since it is already submitted","textHi":"इसे अनदेखा कर दें, क्योंकि यह पहले ही सौंपी जा चुकी है","imageUrl":null},{"key":"b","text":"Blame another team member if questioned","textHi":"पूछे जाने पर किसी अन्य टीम-सदस्य पर दोष डाल दें","imageUrl":null},{"key":"c","text":"Inform your senior immediately and suggest a correction","textHi":"तुरंत अपने वरिष्ठ को सूचित करें और सुधार का सुझाव दें","imageUrl":null},{"key":"d","text":"Wait for the client to point it out","textHi":"प्रतीक्षा करें कि ग्राहक स्वयं इस ओर ध्यान दिलाए","imageUrl":null}],"correct":"c","sol":"Decision making at work\nA mistake in a report that has already reached the client can damage the client's trust, so the first duty is to limit the damage honestly and quickly.\nInforming the senior at once and offering a correction does exactly that: the error is owned up to, and a remedy is placed on the table before the client discovers it.\nIgnoring the mistake or waiting for the client to point it out only lets a small error grow into a serious loss of credibility.\nShifting the blame on to a colleague is unethical and does not correct the report at all.\nHence, option (c) is correct.","solHi":"कार्यस्थल पर निर्णय\nग्राहक तक पहुँच चुकी रिपोर्ट में रह गई गलती ग्राहक के विश्वास को ठेस पहुँचा सकती है, अतः पहला कर्तव्य है — ईमानदारी से और शीघ्रता से हानि को सीमित करना।\nतुरंत वरिष्ठ को सूचित करना और सुधार का सुझाव देना ठीक यही करता है: गलती स्वीकार कर ली जाती है और ग्राहक के जानने से पहले ही उपाय प्रस्तुत कर दिया जाता है।\nगलती को अनदेखा करना अथवा ग्राहक द्वारा बताए जाने की प्रतीक्षा करना छोटी-सी भूल को विश्वसनीयता की बड़ी हानि में बदल देता है।\nदोष किसी सहकर्मी पर डाल देना अनैतिक है और इससे रिपोर्ट में कोई सुधार भी नहीं होता।\nअतः विकल्प (c) सही है।","pos":2,"neg":0.5},{"id":2131,"n":31,"subject":"General Intelligence","stem":"Select the related letter from the given alternatives.\nPRS : CEF : : HST : ?","stemHi":"दिए गए विकल्पों में से संबंधित अक्षर-समूह का चयन कीजिए।\nPRS : CEF : : HST : ?","context":null,"contextHi":null,"options":[{"key":"a","text":"UWF","textHi":null,"imageUrl":null},{"key":"b","text":"UFG","textHi":null,"imageUrl":null},{"key":"c","text":"VFG","textHi":null,"imageUrl":null},{"key":"d","text":"UFH","textHi":null,"imageUrl":null}],"correct":"b","sol":"Letter analogy\nWrite the alphabet positions: P = 16, R = 18, S = 19 and C = 3, E = 5, F = 6.\nEach letter has moved back 13 places: 16-13=3, 18-13=5, 19-13=6.\n $\"figure\"/$ \nApply the same rule to H = 8, S = 19, T = 20, treating the alphabet as a cycle of 26.\n8-13=-5, and -5+26=21, which is U; 19-13=6 is F; 20-13=7 is G.\nSo HST becomes UFG, and option (b) is correct.","solHi":"अक्षर सादृश्यता\nवर्णमाला-क्रमांक लिखिए: P = 16, R = 18, S = 19 तथा C = 3, E = 5, F = 6।\nप्रत्येक अक्षर 13 स्थान पीछे गया है: 16-13=3, 18-13=5, 19-13=6।\n $\"figure\"/$ \nवर्णमाला को 26 का चक्र मानते हुए यही नियम H = 8, S = 19, T = 20 पर लगाइए।\n8-13=-5, तथा -5+26=21, जो U है; 19-13=6 अर्थात् F; 20-13=7 अर्थात् G।\nअतः HST से UFG बनता है और सही विकल्प (b) है।","pos":2,"neg":0.5},{"id":2132,"n":32,"subject":"General Intelligence","stem":"Select the related letter from the given alternatives.\nA:E:: O:?","stemHi":"दिए गए विकल्पों में से संबंधित अक्षर का चयन कीजिए।\nA:E:: O:?","context":null,"contextHi":null,"options":[{"key":"a","text":"L","textHi":null,"imageUrl":null},{"key":"b","text":"U","textHi":null,"imageUrl":null},{"key":"c","text":"V","textHi":null,"imageUrl":null},{"key":"d","text":"K","textHi":null,"imageUrl":null}],"correct":"b","sol":"Vowel analogy\nAll the letters involved are vowels, so read them in the vowel order A, E, I, O, U.\n $\"figure\"/$ \nIn A : E, the second letter is simply the vowel that comes immediately after the first.\nThe vowel immediately after O in the same series is U, so O : U completes the analogy.\nHence, option (b) is correct.","solHi":"स्वर सादृश्यता\nइसमें प्रयुक्त सभी अक्षर स्वर (vowels) हैं, अतः उन्हें स्वर-क्रम A, E, I, O, U में पढ़िए।\n $\"figure\"/$ \nA : E में दूसरा अक्षर वही स्वर है जो पहले के ठीक बाद आता है।\nइसी क्रम में O के ठीक बाद आने वाला स्वर U है, अतः O : U सादृश्यता को पूरा करता है।\nअतः विकल्प (b) सही है।","pos":2,"neg":0.5},{"id":2133,"n":33,"subject":"General Intelligence","stem":"Select the correct options from the given alternatives 200220122022 .....?","stemHi":"दिए गए विकल्पों में से सही विकल्प का चयन कीजिए 200220122022 .....?","context":null,"contextHi":null,"options":[{"key":"a","text":"2041","textHi":null,"imageUrl":null},{"key":"b","text":"2032","textHi":null,"imageUrl":null},{"key":"c","text":"2029","textHi":null,"imageUrl":null},{"key":"d","text":"2030","textHi":null,"imageUrl":null}],"correct":"b","sol":"Number series in blocks\nRead the long digit string in blocks of four digits: 2002, 2012, 2022.\nEach block is 10 more than the block before it: 2012-2002=10 and 2022-2012=10.\n $\"figure\"/$ \nSo the next block must be 2022+10=2032.\nHence, option (b) is correct.","solHi":"खंडों में संख्या शृंखला\nलंबी अंक-शृंखला को चार-चार अंकों के खंडों में पढ़िए: 2002, 2012, 2022।\nप्रत्येक खंड अपने पिछले खंड से 10 अधिक है: 2012-2002=10 तथा 2022-2012=10।\n $\"figure\"/$ \nअतः अगला खंड 2022+10=2032 होगा।\nअतः विकल्प (b) सही है।","pos":2,"neg":0.5},{"id":2134,"n":34,"subject":"General Intelligence","stem":"For the question below, 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: Mexico City: 14th February, 1929 CE.","stemHi":"नीचे दिए गए प्रश्न में संदर्भ कथन का ध्यानपूर्वक परीक्षण कीजिए। इसके बाद चार विकल्पों (a, b, c, d) में से उस एक विकल्प की पहचान कीजिए जो संदर्भ कथन की पूर्णतः सटीक एवं संपूर्ण प्रतिकृति है। प्रत्येक अक्षर, अंक, चिह्न, रिक्त स्थान और विराम-चिह्न पर अत्यंत सावधानी से ध्यान दीजिए।\nसंदर्भ: Mexico City: 14th February, 1929 CE.","context":null,"contextHi":null,"options":[{"key":"a","text":"Mexico City: 14th February, 1929 CE.","textHi":null,"imageUrl":null},{"key":"b","text":"Mexico City: 14th February, 1929 C.E.","textHi":null,"imageUrl":null},{"key":"c","text":"Mexico Citi: 14th February, 1929 CE.","textHi":null,"imageUrl":null},{"key":"d","text":"Mexico City: 14th Februry, 1929 CE.","textHi":null,"imageUrl":null}],"correct":"a","sol":"Exact replication check\nCompare each option with the reference 'Mexico City: 14th February, 1929 CE.' character by character.\n $\"figure\"/$ \nIn (b) the era is written 'C.E.' with two full stops, while the reference has plain 'CE'.\nIn (c) the city is spelt 'Mexico Citi' instead of 'Mexico City'.\nIn (d) the month is spelt 'Februry' — the letter 'a' of 'February' is missing.\nOnly (a) agrees with the reference in every letter, number and punctuation mark, so option (a) is correct.","solHi":"सटीक प्रतिकृति जाँच\nप्रत्येक विकल्प की संदर्भ कथन 'Mexico City: 14th February, 1929 CE.' से अक्षर-दर-अक्षर तुलना कीजिए।\n $\"figure\"/$ \n(b) में संवत् 'C.E.' के रूप में दो पूर्ण-विरामों सहित लिखा है, जबकि संदर्भ में केवल 'CE' है।\n(c) में नगर की वर्तनी 'Mexico City' के स्थान पर 'Mexico Citi' है।\n(d) में महीने की वर्तनी 'Februry' है — 'February' का अक्षर 'a' छूट गया है।\nकेवल (a) प्रत्येक अक्षर, अंक और विराम-चिह्न में संदर्भ से मेल खाता है, अतः सही विकल्प (a) है।","pos":2,"neg":0.5},{"id":2135,"n":35,"subject":"General Intelligence","stem":"For the question below, 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: Accra (PG): Jun 5, 1952.","stemHi":"नीचे दिए गए प्रश्न में संदर्भ कथन का ध्यानपूर्वक परीक्षण कीजिए। इसके बाद चार विकल्पों (a, b, c, d) में से उस एक विकल्प की पहचान कीजिए जो संदर्भ कथन की पूर्णतः सटीक एवं संपूर्ण प्रतिकृति है। प्रत्येक अक्षर, अंक, चिह्न, रिक्त स्थान और विराम-चिह्न पर अत्यंत सावधानी से ध्यान दीजिए।\nसंदर्भ: Accra (PG): Jun 5, 1952.","context":null,"contextHi":null,"options":[{"key":"a","text":"Accra (PG): Jun 5,1952.","textHi":null,"imageUrl":null},{"key":"b","text":"Accr_a (PG): Jun 5,1952.","textHi":null,"imageUrl":null},{"key":"c","text":"Accra (PG): Jun. 5,1952.","textHi":null,"imageUrl":null},{"key":"d","text":"Accra (PG): Jun 5, 1972.","textHi":null,"imageUrl":null}],"correct":"a","sol":"Exact replication check\nCompare each option with the reference 'Accra (PG): Jun 5, 1952.' character by character.\n $\"figure\"/$ \nIn (b) the city name carries a stray underscore — 'Accr_a' instead of 'Accra'.\nIn (c) the month is written 'Jun.' with a full stop, which the reference does not have.\nIn (d) the year has been altered from 1952 to 1972.\nOption (a) alone repeats the city, the code in brackets, the month, the date and the year exactly as given, so option (a) is correct.","solHi":"सटीक प्रतिकृति जाँच\nप्रत्येक विकल्प की संदर्भ कथन 'Accra (PG): Jun 5, 1952.' से अक्षर-दर-अक्षर तुलना कीजिए।\n $\"figure\"/$ \n(b) में नगर के नाम में एक अतिरिक्त अधोरेखा है — 'Accra' के स्थान पर 'Accr_a'।\n(c) में महीना 'Jun.' के रूप में पूर्ण-विराम सहित लिखा है, जो संदर्भ में नहीं है।\n(d) में वर्ष 1952 के स्थान पर 1972 कर दिया गया है।\nकेवल (a) में नगर, कोष्ठक का कूट, महीना, तिथि और वर्ष — सब कुछ ठीक वैसा ही है, अतः सही विकल्प (a) है।","pos":2,"neg":0.5},{"id":2136,"n":36,"subject":"General Intelligence","stem":"From the given option figures, select the one in which the question figure is hidden/embedded. (Rotation is not allowed)\n $\"figure\"/$ ","stemHi":"दी गई विकल्प आकृतियों में से उस आकृति का चयन कीजिए, जिसमें प्रश्न आकृति छिपी/अंतर्निहित है। (घुमाने की अनुमति नहीं है)\n $\"figure\"/$ ","context":null,"contextHi":null,"options":[{"key":"a","text":" $\"figure\"/$ ","textHi":null,"imageUrl":null},{"key":"b","text":" $\"figure\"/$ ","textHi":null,"imageUrl":null},{"key":"c","text":" $\"figure\"/$ ","textHi":null,"imageUrl":null},{"key":"d","text":" $\"figure\"/$ ","textHi":null,"imageUrl":null}],"correct":"a","sol":"Embedded figure\nFirst fix the shape to be found: a four-sided figure with a sharp peak near the top, a long side falling from the peak to a point on the right, a long base running back to the far left and a short side closing it on the left.\nSince rotation is not allowed, this quadrilateral must sit in the answer figure at exactly the same tilt.\n $\"figure\"/$ \nIn option (a) those four strokes are all present and in that very position — the sharp peak, the long right side, the long base sloping down to the left and the short left side.\nIn options (b), (c) and (d) the corresponding inner quadrilateral is far more even-sided: the peak is blunt and the long sloping base is missing, so the given shape cannot be traced in them without turning it.\nHence, option (a) is correct.","solHi":"अंतर्निहित आकृति\nसबसे पहले खोजी जाने वाली आकृति को स्पष्ट कीजिए: यह एक चतुर्भुज है जिसका शीर्ष ऊपर की ओर नुकीला है, शीर्ष से एक लंबी भुजा दाईं ओर के बिंदु तक गिरती है, वहाँ से एक लंबा आधार दूर बाईं ओर लौटता है और बाईं ओर एक छोटी भुजा उसे बंद कर देती है।\nचूँकि घुमाने की अनुमति नहीं है, यह चतुर्भुज उत्तर आकृति में ठीक इसी झुकाव पर होना चाहिए।\n $\"figure\"/$ \nविकल्प (a) में ये चारों रेखाएँ ठीक उसी स्थिति में उपस्थित हैं — नुकीला शीर्ष, लंबी दाईं भुजा, बाईं ओर ढलता लंबा आधार तथा छोटी बाईं भुजा।\nविकल्प (b), (c) तथा (d) में संगत भीतरी चतुर्भुज कहीं अधिक समान भुजाओं वाला है: उसका शीर्ष कुंठित है और लंबा ढलवाँ आधार नहीं है, अतः दी गई आकृति को घुमाए बिना उनमें नहीं खोजा जा सकता।\nअतः विकल्प (a) सही है।","pos":2,"neg":0.5},{"id":2137,"n":37,"subject":"General Intelligence","stem":"From the given option figures, select the one in which the question figure is hidden/embedded. (Rotation is not allowed)\n $\"figure\"/$ ","stemHi":"दी गई विकल्प आकृतियों में से उस आकृति का चयन कीजिए, जिसमें प्रश्न आकृति छिपी/अंतर्निहित है। (घुमाने की अनुमति नहीं है)\n $\"figure\"/$ ","context":null,"contextHi":null,"options":[{"key":"a","text":" $\"figure\"/$ ","textHi":null,"imageUrl":null},{"key":"b","text":" $\"figure\"/$ ","textHi":null,"imageUrl":null},{"key":"c","text":" $\"figure\"/$ ","textHi":null,"imageUrl":null},{"key":"d","text":" $\"figure\"/$ ","textHi":null,"imageUrl":null}],"correct":"c","sol":"$2d","solHi":"अंतर्निहित आकृति\nप्रश्न आकृति को उसकी छह रेखाओं में बाँटिए: शीर्ष तक जाती छोटी ऊपरी-बाईं भुजा, शीर्ष से दाएँ बिंदु तक गिरती लंबी भुजा, बाएँ बिंदु से उसी दाएँ बिंदु तक जाती लंबी रेखा, शीर्ष से नीचे-बाएँ कोने तक जाती लंबी भुजा, शीर्ष से आधार तक की ऊर्ध्वाधर रेखा, तथा छोटा आधार।\n $\"figure\"/$ \nआकृति की पहचान उसका कटान है: बाएँ बिंदु से आने वाली रेखा और शीर्ष से नीचे-बाएँ कोने तक जाने वाली रेखा बीच में एक-दूसरे को काटनी चाहिए, और ऊर्ध्वाधर रेखा उनके बीच पूरी ऊँचाई तक जानी चाहिए।\nविकल्प (c) में ये छहों रेखाएँ ठीक उसी स्थिति में हैं, अतः पूरी आकृति उसमें बिना घुमाए खोजी जा सकती है।\nविकल्प (a) में शीर्ष से आती रेखा बाईं भुजा पर ही रुक जाती है और नीचे-बाएँ कोने तक नहीं पहुँचती; विकल्प (b) में ऊर्ध्वाधर रेखा आधी ऊँचाई पर रुक जाती है और आधार को नहीं छूती; विकल्प (d) में बाएँ बिंदु से दाएँ बिंदु तक जाने वाली रेखा है ही नहीं।\nअतः विकल्प (c) सही है।","pos":2,"neg":0.5},{"id":2138,"n":38,"subject":"General Intelligence","stem":"In the following question, select the number which can be placed at the sign of question mark (?) from the given alternatives.\n $\"figure\"/$ ","stemHi":"निम्नलिखित प्रश्न में, दिए गए विकल्पों में से उस संख्या का चयन कीजिए जिसे प्रश्नवाचक चिह्न (?) के स्थान पर रखा जा सकता है।\n $\"figure\"/$ ","context":null,"contextHi":null,"options":[{"key":"a","text":"2400","textHi":null,"imageUrl":null},{"key":"b","text":"2600","textHi":null,"imageUrl":null},{"key":"c","text":"2700","textHi":null,"imageUrl":null},{"key":"d","text":"2900","textHi":null,"imageUrl":null}],"correct":"c","sol":"$2e","solHi":"$2f","pos":2,"neg":0.5},{"id":2139,"n":39,"subject":"General Intelligence","stem":"How many triangles are there in the given figure?\n $\"figure\"/$ ","stemHi":"दी गई आकृति में कितने त्रिभुज हैं?\n $\"figure\"/$ ","context":null,"contextHi":null,"options":[{"key":"a","text":"26","textHi":null,"imageUrl":null},{"key":"b","text":"22","textHi":null,"imageUrl":null},{"key":"c","text":"24","textHi":null,"imageUrl":null},{"key":"d","text":"34","textHi":null,"imageUrl":null}],"correct":"d","sol":"$30","solHi":"$31","pos":2,"neg":0.5},{"id":2140,"n":40,"subject":"General Intelligence","stem":"How many quadrilaterals are there in the given figure?\n $\"figure\"/$ ","stemHi":"दी गई आकृति में कितने चतुर्भुज हैं?\n $\"figure\"/$ ","context":null,"contextHi":null,"options":[{"key":"a","text":"15","textHi":null,"imageUrl":null},{"key":"b","text":"16","textHi":null,"imageUrl":null},{"key":"c","text":"17","textHi":null,"imageUrl":null},{"key":"d","text":"18","textHi":null,"imageUrl":null}],"correct":"c","sol":"$32","solHi":"$33","pos":2,"neg":0.5},{"id":2141,"n":41,"subject":"General Intelligence","stem":"A started walking straight towards East. After taking how many right turns during her journey she will be finally facing towards east? (she took only right turns during her journey)","stemHi":"A ने पूर्व दिशा की ओर सीधे चलना आरंभ किया। अपनी यात्रा के दौरान कितने दाएँ मोड़ लेने के बाद वह अंततः पूर्व दिशा की ओर मुख किए हुए होगी? (उसने अपनी यात्रा के दौरान केवल दाएँ मोड़ ही लिए)","context":null,"contextHi":null,"options":[{"key":"a","text":"4","textHi":null,"imageUrl":null},{"key":"b","text":"3","textHi":null,"imageUrl":null},{"key":"c","text":"5","textHi":null,"imageUrl":null},{"key":"d","text":"6","textHi":null,"imageUrl":null}],"correct":"a","sol":"Direction sense — turns\nA right turn is a quarter turn, that is a turn of

90^{\circ}

in the clockwise sense.\nShe starts facing East; the first right turn makes her face South, the second West and the third North.\n $\"figure\"/$ \nThe fourth right turn brings her back to East, because

4 \times 90^{\circ} = 360^{\circ}

is one full turn.\nAny smaller number of right turns leaves her facing South, West or North, so 4 is the least number that works.\nHence, option (a) is correct.","solHi":"दिशा-ज्ञान — मोड़\nदायाँ मोड़ एक चौथाई घुमाव होता है, अर्थात् दक्षिणावर्त दिशा में

90^{\circ}

का घुमाव।\nवह पूर्व की ओर मुख करके चलना आरंभ करती है; पहले दाएँ मोड़ पर उसका मुख दक्षिण, दूसरे पर पश्चिम और तीसरे पर उत्तर की ओर हो जाता है।\n $\"figure\"/$ \nचौथा दायाँ मोड़ उसे पुनः पूर्व की ओर ले आता है, क्योंकि

4 \times 90^{\circ} = 360^{\circ}

एक पूरा चक्कर है।\nइससे कम मोड़ लेने पर उसका मुख दक्षिण, पश्चिम या उत्तर की ओर रहेगा, अतः 4 ही अभीष्ट न्यूनतम संख्या है।\nअतः विकल्प (a) सही है।","pos":2,"neg":0.5},{"id":2142,"n":42,"subject":"General Intelligence","stem":"Which option figure will complete the pattern in the question figure? (Rotation is not allowed)\n $\"figure\"/$ ","stemHi":"कौन-सी विकल्प आकृति प्रश्न आकृति के पैटर्न को पूरा करेगी? (घुमाने की अनुमति नहीं है)\n $\"figure\"/$ ","context":null,"contextHi":null,"options":[{"key":"a","text":" $\"figure\"/$ ","textHi":null,"imageUrl":null},{"key":"b","text":" $\"figure\"/$ ","textHi":null,"imageUrl":null},{"key":"c","text":" $\"figure\"/$ ","textHi":null,"imageUrl":null},{"key":"d","text":" $\"figure\"/$ ","textHi":null,"imageUrl":null}],"correct":"a","sol":"$34","solHi":"$35","pos":2,"neg":0.5},{"id":2143,"n":43,"subject":"General Intelligence","stem":"Select the option that is related to third figure in the same way as the second figure is related to the first figure.\n $\"figure\"/$ ","stemHi":"उस विकल्प का चयन कीजिए जो तीसरी आकृति से उसी प्रकार संबंधित है, जिस प्रकार दूसरी आकृति पहली आकृति से संबंधित है।\n $\"figure\"/$ ","context":null,"contextHi":null,"options":[{"key":"a","text":" $\"figure\"/$ ","textHi":null,"imageUrl":null},{"key":"b","text":" $\"figure\"/$ ","textHi":null,"imageUrl":null},{"key":"c","text":" $\"figure\"/$ ","textHi":null,"imageUrl":null},{"key":"d","text":" $\"figure\"/$ ","textHi":null,"imageUrl":null}],"correct":"b","sol":"$36","solHi":"आकृति सादृश्य — जल प्रतिबिंब\nपहली दो आकृतियों की तुलना कीजिए: जो गोल बिंदु तिरछी रेखा के ऊपरी सिरे पर था, वह बाद में निचले सिरे पर है, जबकि समचतुर्भुज निचले सिरे से ऊपरी सिरे पर चला गया है।\nबाएँ-दाएँ कुछ भी नहीं बदला — केवल ऊपर-नीचे बदला है — अतः दूसरी आकृति पहली आकृति को क्षैतिज रेखा पर पलटने से बनी है, अर्थात् वह उसका जल प्रतिबिंब है।\nछायांकन भी यही बताता है: पहली आकृति में छायांकित भाग तिरछी रेखा के नीचे है और दूसरी में उसके ऊपर।\n $\"figure\"/$ \nतीसरी आकृति को इसी प्रकार पलटने पर त्रिभुज नीचे की ओर नुकीला हो जाता है और उसका बिंदु-युक्त शीर्ष नीचे आ जाता है, डंडी तथा उसका बिंदु (अब ऊपरी) आधार से ऊपर चले जाते हैं, और धारियों की पट्टी निचले आधे भाग में चली जाती है।\nयही विकल्प (b) है; (a) तथा (c) में त्रिभुज सीधा ही खड़ा है और (d) में डंडी मध्य से हटी हुई है।\nअतः विकल्प (b) सही है।","pos":2,"neg":0.5},{"id":2145,"n":45,"subject":"General Intelligence","stem":"Select the option which is related to figure

C

as is the relation of figure

B

to figure A.\n $\"figure\"/$ ","stemHi":"उस विकल्प का चयन कीजिए जो आकृति $C$ से उसी प्रकार संबंधित है, जिस प्रकार आकृति $B$ का आकृति A से संबंध है।\n $\"figure\"/$ ","context":null,"contextHi":null,"options":[{"key":"a","text":" $\"figure\"/$ ","textHi":null,"imageUrl":null},{"key":"b","text":" $\"figure\"/$ ","textHi":null,"imageUrl":null},{"key":"c","text":" $\"figure\"/$ ","textHi":null,"imageUrl":null},{"key":"d","text":" $\"figure\"/$ ","textHi":null,"imageUrl":null}],"correct":"a","sol":"$37","solHi":"$38","pos":2,"neg":0.5},{"id":2146,"n":46,"subject":"General Intelligence","stem":"In the following question, select the figure which can be placed at the sign of question mark (?) from the given alternatives.\n $\"figure\"/$ ","stemHi":"निम्नलिखित प्रश्न में, दिए गए विकल्पों में से उस आकृति का चयन कीजिए जिसे प्रश्नवाचक चिह्न (?) के स्थान पर रखा जा सकता है।\n $\"figure\"/$ ","context":null,"contextHi":null,"options":[{"key":"a","text":" $\"figure\"/$ ","textHi":null,"imageUrl":null},{"key":"b","text":" $\"figure\"/$ ","textHi":null,"imageUrl":null},{"key":"c","text":" $\"figure\"/$ ","textHi":null,"imageUrl":null},{"key":"d","text":" $\"figure\"/$ ","textHi":null,"imageUrl":null}],"correct":"d","sol":"Figure series — marks rotating\nThe frame of lines is exactly the same in every figure; only the four marks sitting at its four ends change place.\nFollow the ringed dot: it is at the bottom-left, then the top-left, then the top-right, then the bottom-right — it moves one corner clockwise each time.\n $\"figure\"/$ \nOne more clockwise step brings it back to the bottom-left, so the missing figure must carry the ringed dot at the bottom-left; that rules out options (a) and (c).\nNow follow the plus: it is at the top-left in the third figure and at the top-right in the fourth, again one corner clockwise, so in the fifth figure it must be at the bottom-right.\nOption (b) has a cross there, not a plus, while option (d) has the ringed dot at the bottom-left and the plus at the bottom-right, exactly as required.\nHence, option (d) is correct.","solHi":"आकृति शृंखला — घूमते चिह्न\nरेखाओं का ढाँचा प्रत्येक आकृति में बिलकुल एक-सा है; केवल उसके चारों सिरों पर बैठे चार चिह्न ही अपना स्थान बदलते हैं।\nछल्लेदार बिंदु का अनुसरण कीजिए: वह पहले नीचे-बाएँ, फिर ऊपर-बाएँ, फिर ऊपर-दाएँ, फिर नीचे-दाएँ है — अर्थात् हर बार एक कोना दक्षिणावर्त खिसकता है।\n $\"figure\"/$ \nएक और दक्षिणावर्त कदम उसे पुनः नीचे-बाएँ ले आता है, अतः लुप्त आकृति में छल्लेदार बिंदु नीचे-बाएँ होना चाहिए; इससे विकल्प (a) तथा (c) निरस्त हो जाते हैं।\nअब धन-चिह्न का अनुसरण कीजिए: तीसरी आकृति में वह ऊपर-बाएँ और चौथी में ऊपर-दाएँ है, अर्थात् फिर एक कोना दक्षिणावर्त, अतः पाँचवीं आकृति में वह नीचे-दाएँ होना चाहिए।\nविकल्प (b) में वहाँ धन-चिह्न नहीं बल्कि गुणा-चिह्न है, जबकि विकल्प (d) में छल्लेदार बिंदु नीचे-बाएँ और धन-चिह्न नीचे-दाएँ है — ठीक जैसा अपेक्षित है।\nअतः विकल्प (d) सही है।","pos":2,"neg":0.5},{"id":2147,"n":47,"subject":"General Intelligence","stem":"In a certain coded language 'CSJP' is coded as 'GWNT' and 'ESBC' is coded as 'IWFG'. How will 'BUPQ' be coded in the same language?","stemHi":"एक निश्चित कूट भाषा में 'CSJP' को 'GWNT' लिखा जाता है और 'ESBC' को 'IWFG' लिखा जाता है। उसी भाषा में 'BUPQ' को किस प्रकार लिखा जाएगा?","context":null,"contextHi":null,"options":[{"key":"a","text":"DXUV","textHi":null,"imageUrl":null},{"key":"b","text":"CWSS","textHi":null,"imageUrl":null},{"key":"c","text":"FVQS","textHi":null,"imageUrl":null},{"key":"d","text":"FYTU","textHi":null,"imageUrl":null}],"correct":"d","sol":"$39","solHi":"$3a","pos":2,"neg":0.5},{"id":2148,"n":48,"subject":"General Intelligence","stem":"In a certain coded language 'HONEY' is coded as 'CYIIT' and 'DIRTY' is coded as 'YNMCT'. How will 'MONEY' be coded in the same code language?","stemHi":"एक निश्चित कूट भाषा में 'HONEY' को 'CYIIT' लिखा जाता है और 'DIRTY' को 'YNMCT' लिखा जाता है। उसी कूट भाषा में 'MONEY' को किस प्रकार लिखा जाएगा?","context":null,"contextHi":null,"options":[{"key":"a","text":"XINYL","textHi":null,"imageUrl":null},{"key":"b","text":"HYIIT","textHi":null,"imageUrl":null},{"key":"c","text":"HYTIT","textHi":null,"imageUrl":null},{"key":"d","text":"XYIIT","textHi":null,"imageUrl":null}],"correct":"b","sol":"$3b","solHi":"$3c","pos":2,"neg":0.5},{"id":2149,"n":49,"subject":"General Intelligence","stem":"In a certain coded language 'GHTMIK' is coded as 'PMPYLJ' and 'NEATLY' is coded as 'DPWFIQ'. How will 'DACBYP' be coded in the same code language?","stemHi":"एक निश्चित कूट भाषा में 'GHTMIK' को 'PMPYLJ' लिखा जाता है और 'NEATLY' को 'DPWFIQ' लिखा जाता है। उसी कूट भाषा में 'DACBYP' को किस प्रकार लिखा जाएगा?","context":null,"contextHi":null,"options":[{"key":"a","text":"JROENH","textHi":null,"imageUrl":null},{"key":"b","text":"UCHEEG","textHi":null,"imageUrl":null},{"key":"c","text":"UCEHEG","textHi":null,"imageUrl":null},{"key":"d","text":"LSOFMG","textHi":null,"imageUrl":null}],"correct":"c","sol":"$3d","solHi":"$3e","pos":2,"neg":0.5},{"id":2150,"n":50,"subject":"General Intelligence","stem":"A word has been given in the question. This word CAN be formed by using the letters of the word given in one of the alternatives only. Select that alternative.\nSHOES","stemHi":"प्रश्न में एक शब्द दिया गया है। यह शब्द केवल एक विकल्प में दिए गए शब्द के अक्षरों का प्रयोग करके ही बनाया जा सकता है। उस विकल्प का चयन कीजिए।\nSHOES","context":null,"contextHi":null,"options":[{"key":"a","text":"SCHOOL","textHi":null,"imageUrl":null},{"key":"b","text":"SCHOOLERS","textHi":null,"imageUrl":null},{"key":"c","text":"STATEMENT","textHi":null,"imageUrl":null},{"key":"d","text":"BATSMAN","textHi":null,"imageUrl":null}],"correct":"b","sol":"Word formation\n'SHOES' is made of S, H, O, E and S — the important point is that the letter S is needed twice.\n'SCHOOL' has only one S, so 'SHOES' cannot be built from it.\n'STATEMENT' has no H and no O, and 'BATSMAN' has no H, no O and no E.\n $\"figure\"/$ \n'SCHOOLERS' is made of S, C, H, O, O, L, E, R and S — it carries two S's, an H, an O and an E, which is everything 'SHOES' needs.\nHence, option (b) is correct.","solHi":"शब्द निर्माण\n'SHOES' में S, H, O, E तथा S अक्षर हैं — मुख्य बात यह है कि अक्षर S दो बार चाहिए।\n'SCHOOL' में केवल एक ही S है, अतः उससे 'SHOES' नहीं बनाया जा सकता।\n'STATEMENT' में न H है न O, तथा 'BATSMAN' में न H है, न O और न E।\n $\"figure\"/$ \n'SCHOOLERS' में S, C, H, O, O, L, E, R तथा S हैं — इसमें दो S, एक H, एक O तथा एक E हैं, अर्थात् 'SHOES' के लिए आवश्यक सभी अक्षर।\nअतः विकल्प (b) सही है।","pos":2,"neg":0.5},{"id":2151,"n":51,"subject":"Quantitative Aptitude","stem":"Which is a mixed recurring decimal?","stemHi":"मिश्रित आवर्ती दशमलव कौन-सा है?","context":null,"contextHi":null,"options":[{"key":"a","text":"0.75","textHi":null,"imageUrl":null},{"key":"b","text":"

0.3333 \dots

","textHi":"$$0.3333…$","imageUrl":null},{"key":"c","text":"

0.272727 \dots

","textHi":"$$0.272727…$","imageUrl":null},{"key":"d","text":"

2.1454545 \dots

","textHi":"$$2.1454545…$","imageUrl":null}],"correct":"d","sol":"$3f","solHi":"दशमलव के प्रकार\nकिसी दशमलव को मिश्रित आवर्ती तब कहते हैं जब दशमलव बिंदु के ठीक बाद कुछ अंक आवर्ती नहीं होते और आवृत्ति उनके बाद ही आरंभ होती है।\n0.75 दो अंकों के बाद समाप्त हो जाता है, अतः यह सांत दशमलव है, आवर्ती है ही नहीं।\n

0.3333 \dots

में आवृत्ति पहले ही दशमलव स्थान से आरंभ हो जाती है, और

0.272727 \dots

में भी आवर्ती खंड 27 पहले ही स्थान से आरंभ होता है, अतः दोनों शुद्ध आवर्ती हैं।\n $\"figure\"/$ \n

2.1454545 \dots

में अंक 1 अकेला है और कभी दोहराया नहीं जाता, तथा उसके बाद केवल खंड 45 दोहराया जाता है — मिश्रित आवर्ती दशमलव ठीक ऐसा ही होता है।\nअतः विकल्प (d) सही है।","pos":2,"neg":0.5},{"id":2152,"n":52,"subject":"Quantitative Aptitude","stem":"A TV is sold at a discount of

20 %

. If a man buys it for Rs. 6500 , what is the marked price?","stemHi":"एक टीवी $20%$ की छूट पर बेचा जाता है। यदि एक व्यक्ति उसे 6500 रुपये में खरीदता है, तो अंकित मूल्य क्या है?","context":null,"contextHi":null,"options":[{"key":"a","text":"8125","textHi":null,"imageUrl":null},{"key":"b","text":"10000","textHi":null,"imageUrl":null},{"key":"c","text":"8000","textHi":null,"imageUrl":null},{"key":"d","text":"8225","textHi":null,"imageUrl":null}],"correct":"a","sol":"Discount and marked price\nA discount of

20 %

is taken off the marked price, so the buyer pays

100 % - 20 % = 80 %

of it.\nLet the marked price be M.\n

M \times \frac{80}{100} = 6500

M = 6500 \times \frac{100}{80}

\nM=8125\nHence, option (a) is correct.","solHi":"छूट और अंकित मूल्य\n

20 %

की छूट अंकित मूल्य पर दी जाती है, अतः खरीदार उसका

100 % - 20 % = 80 %

भाग चुकाता है।\nमाना कि अंकित मूल्य M है।\n

M \times \frac{80}{100} = 6500

M = 6500 \times \frac{100}{80}

\nM=8125\nअतः विकल्प (a) सही है।","pos":2,"neg":0.5},{"id":2153,"n":53,"subject":"Quantitative Aptitude","stem":"In triangle

A B C

, the orthocenter

O

and the incenter I. If

∠ BIC - ∠ BOC = 60^{\circ}

, what is

∠ A

?","stemHi":"त्रिभुज $ABC$ में, लंबकेंद्र $O$ तथा अंतःकेंद्र I है। यदि $∠BIC-∠BOC={60}^{∘}$ है, तो $∠A$ क्या है?","context":null,"contextHi":null,"options":[{"key":"a","text":"100°","textHi":null,"imageUrl":null},{"key":"b","text":"90°","textHi":null,"imageUrl":null},{"key":"c","text":"110°","textHi":null,"imageUrl":null},{"key":"d","text":"120°","textHi":null,"imageUrl":null}],"correct":"a","sol":"$40","solHi":"$41","pos":2,"neg":0.5},{"id":2154,"n":54,"subject":"Quantitative Aptitude","stem":"If

\cot θ = \frac{5}{12}, 0^{\circ} < θ < 90^{\circ}

, then find the value of:\n

(\frac{(1 + \sin θ)}{\cos θ}) \cdot (\frac{(1 - \sin θ)}{\cos θ}) .

","stemHi":"यदि $cot⁡θ=\\frac{5}{12},{0}^{∘}<θ<{90}^{∘}$ है, तो निम्नलिखित का मान ज्ञात कीजिए:\n$\\left[ \\frac{(1+sin⁡θ)}{cos⁡θ} \\right]⋅\\left[ \\frac{(1-sin⁡θ)}{cos⁡θ} \\right].$","context":null,"contextHi":null,"options":[{"key":"a","text":"

\frac{12}{5}

","textHi":"$$\\frac{12}{5}$","imageUrl":null},{"key":"b","text":"

\frac{24}{5}

","textHi":"$$\\frac{24}{5}$","imageUrl":null},{"key":"c","text":"

\frac{- 24}{5}

","textHi":"$$\\frac{-24}{5}$","imageUrl":null},{"key":"d","text":"

\frac{13}{5}

","textHi":"$$\\frac{13}{5}$","imageUrl":null}],"correct":"b","sol":"$42","solHi":"$43","pos":2,"neg":0.5},{"id":2155,"n":55,"subject":"Quantitative Aptitude","stem":"Two tangents are drawn from a point A outside a circle of radius 7 cm . The angle between the tangents is

90^{\circ}

, and the distance from

A

to the center of the circle is

R cm

. Find the value of

R

.","stemHi":"7 cm त्रिज्या वाले एक वृत्त के बाहर स्थित बिंदु A से दो स्पर्श रेखाएँ खींची जाती हैं। स्पर्श रेखाओं के बीच का कोण ${90}^{∘}$ है, तथा $A$ से वृत्त के केंद्र की दूरी $R cm$ है। $R$ का मान ज्ञात कीजिए।","context":null,"contextHi":null,"options":[{"key":"a","text":"6.30 cm","textHi":null,"imageUrl":null},{"key":"b","text":"7.32 cm","textHi":null,"imageUrl":null},{"key":"c","text":"9.89 cm","textHi":null,"imageUrl":null},{"key":"d","text":"

6 \sqrt{2} cm

","textHi":"$$6\\sqrt{2} cm$","imageUrl":null}],"correct":"c","sol":"$44","solHi":"$45","pos":2,"neg":0.5},{"id":2156,"n":56,"subject":"Quantitative Aptitude","stem":"In a circle with center

O, AC

is a chord. OB is perpendicular to AC at point

B

. If

OA = 17 cm

and

AC = 30 cm

, what is the length of

O B

?","stemHi":"केंद्र $O$ वाले एक वृत्त में $AC$ एक जीवा है। OB बिंदु $B$ पर AC के लंबवत है। यदि $OA=17 cm$ और $AC=30 cm$ है, तो $OB$ की लंबाई क्या है?","context":null,"contextHi":null,"options":[{"key":"a","text":"9 cm","textHi":null,"imageUrl":null},{"key":"b","text":"8 cm","textHi":null,"imageUrl":null},{"key":"c","text":"5 cm","textHi":null,"imageUrl":null},{"key":"d","text":"10 cm","textHi":null,"imageUrl":null}],"correct":"b","sol":"$46","solHi":"$47","pos":2,"neg":0.5},{"id":2157,"n":57,"subject":"Quantitative Aptitude","stem":"The perimeter of a rectangle is 14

\sqrt{2} cm

, while the area of the rectangle is

18 {cm}^{2}

. Find the difference between the length and the breadth of the given rectangle.","stemHi":"एक आयत का परिमाप 14 $\\sqrt{2} cm$ है, जबकि उस आयत का क्षेत्रफल $18{ cm}^{2}$ है। दिए गए आयत की लंबाई तथा चौड़ाई का अंतर ज्ञात कीजिए।","context":null,"contextHi":null,"options":[{"key":"a","text":"

3 \sqrt{3} cm

","textHi":"$$3\\sqrt{3} cm$","imageUrl":null},{"key":"b","text":"

\sqrt{46} cm

","textHi":"$$\\sqrt{46} cm$","imageUrl":null},{"key":"c","text":"

\sqrt{26} cm

","textHi":"$$\\sqrt{26} cm$","imageUrl":null},{"key":"d","text":"

\sqrt{3} cm

","textHi":"$$\\sqrt{3} cm$","imageUrl":null}],"correct":"c","sol":"$48","solHi":"$49","pos":2,"neg":0.5},{"id":2158,"n":58,"subject":"Quantitative Aptitude","stem":"The floor of a building consists of 500 rhombus-shaped tiles. If the lengths of the diagonals of each tile are 15cm and 18 cm , respectively, then find the cost of polishing the floor at a rate of Rs. 20 per

m^{2}

.","stemHi":"किसी भवन के फर्श में 500 समचतुर्भुज आकार की टाइलें लगी हैं। यदि प्रत्येक टाइल के विकर्णों की लंबाइयाँ क्रमशः 15cm तथा 18 cm हैं, तो 20 रुपये प्रति ${m}^{2}$ की दर से फर्श की पॉलिश कराने की लागत ज्ञात कीजिए।","context":null,"contextHi":null,"options":[{"key":"a","text":"Rs. 135","textHi":null,"imageUrl":null},{"key":"b","text":"Rs. 150","textHi":null,"imageUrl":null},{"key":"c","text":"Rs. 130","textHi":null,"imageUrl":null},{"key":"d","text":"Rs. 125","textHi":null,"imageUrl":null}],"correct":"a","sol":"$4a","solHi":"$4b","pos":2,"neg":0.5},{"id":2159,"n":59,"subject":"Quantitative Aptitude","stem":"In a rhombus, the diagonals are in the ratio

7 : 24

. If the side of the rhombus is 25 cm , determine the exact lengths of both diagonals and the area.","stemHi":"एक समचतुर्भुज में विकर्ण $7:24$ के अनुपात में हैं। यदि समचतुर्भुज की भुजा 25 cm है, तो दोनों विकर्णों की यथार्थ लंबाइयाँ तथा क्षेत्रफल ज्ञात कीजिए।","context":null,"contextHi":null,"options":[{"key":"a","text":"12 cm and

26 cm, 220 {cm}^{2}

","textHi":"12 cm तथा $26 cm,220{ cm}^{2}$","imageUrl":null},{"key":"b","text":"14 cm and

48 cm, 336 {cm}^{2}

","textHi":"14 cm तथा $48 cm,336{ cm}^{2}$","imageUrl":null},{"key":"c","text":"16 cm and

30 cm, 240 {cm}^{2}

","textHi":"16 cm तथा $30 cm,240{ cm}^{2}$","imageUrl":null},{"key":"d","text":"Can't be determined","textHi":"ज्ञात नहीं किया जा सकता","imageUrl":null}],"correct":"b","sol":"$4c","solHi":"$4d","pos":2,"neg":0.5},{"id":2160,"n":60,"subject":"Quantitative Aptitude","stem":"In a partnership, P and Q invest in the ratio

5 : 7

. If the total profit is Rs.

1, 20, 000

, how much profit does P get?","stemHi":"एक साझेदारी में P तथा Q $5:7$ के अनुपात में निवेश करते हैं। यदि कुल लाभ $1,20,000$ रुपये है, तो P को कितना लाभ मिलेगा?","context":null,"contextHi":null,"options":[{"key":"a","text":"Rs. 40,000","textHi":null,"imageUrl":null},{"key":"b","text":"Rs. 50,000","textHi":null,"imageUrl":null},{"key":"c","text":"Rs. 62,780","textHi":null,"imageUrl":null},{"key":"d","text":"Rs. 48,889","textHi":null,"imageUrl":null}],"correct":"b","sol":"Partnership — profit sharing\nBoth partners keep their money in for the same time, so the profit is divided in the ratio of the investments, P:Q=5:7.\nTotal number of parts =5+7=12.\nOne part

= \frac{120000}{12} = 10000

.\nP's share

= 5 \times 10000 = 50000

, that is Rs. 50,000.\nHence, option (b) is correct.","solHi":"साझेदारी — लाभ विभाजन\nदोनों साझेदार अपना धन समान अवधि तक लगाते हैं, अतः लाभ निवेश के अनुपात P:Q=5:7 में बँटता है।\nकुल भागों की संख्या =5+7=12।\nएक भाग

= \frac{120000}{12} = 10000

।\nP का हिस्सा

= 5 \times 10000 = 50000

, अर्थात् 50,000 रुपये।\nअतः विकल्प (b) सही है।","pos":2,"neg":0.5},{"id":2161,"n":61,"subject":"Quantitative Aptitude","stem":"The greatest four-digit number that is divisible by each of the numbers 8,12 , 15, and 20 is","stemHi":"वह सबसे बड़ी चार अंकों वाली संख्या कौन-सी है जो 8, 12, 15 और 20 में से प्रत्येक से विभाज्य है?","context":null,"contextHi":null,"options":[{"key":"a","text":"9600","textHi":null,"imageUrl":null},{"key":"b","text":"9840","textHi":null,"imageUrl":null},{"key":"c","text":"9960","textHi":null,"imageUrl":null},{"key":"d","text":"9720","textHi":null,"imageUrl":null}],"correct":"c","sol":"$4e","solHi":"$4f","pos":2,"neg":0.5},{"id":2162,"n":62,"subject":"Quantitative Aptitude","stem":"The average of 9 numbers is 57. If the average of the first 4 numbers is 54 and the average of the last 4 numbers is 60 , what is the fifth number?","stemHi":"9 संख्याओं का औसत 57 है। यदि पहली 4 संख्याओं का औसत 54 है तथा अंतिम 4 संख्याओं का औसत 60 है, तो पाँचवीं संख्या क्या है?","context":null,"contextHi":null,"options":[{"key":"a","text":"53","textHi":null,"imageUrl":null},{"key":"b","text":"59","textHi":null,"imageUrl":null},{"key":"c","text":"57","textHi":null,"imageUrl":null},{"key":"d","text":"55","textHi":null,"imageUrl":null}],"correct":"c","sol":"Average of a group\nSum of the 9 numbers

= 9 \times 57 = 513

.\nSum of the first 4 numbers

= 4 \times 54 = 216

.\nSum of the last 4 numbers

= 4 \times 60 = 240

.\nThe first four and the last four together cover eight numbers; only the fifth number is left out of both groups.\nFifth number =513-(216+240)=513-456=57.\n $\"figure\"/$ \nHence, option (c) is correct.","solHi":"समूह का औसत\n9 संख्याओं का योग

= 9 \times 57 = 513

।\nपहली 4 संख्याओं का योग

= 4 \times 54 = 216

।\nअंतिम 4 संख्याओं का योग

= 4 \times 60 = 240

।\nपहली चार तथा अंतिम चार संख्याएँ मिलकर आठ संख्याओं को समाहित कर लेती हैं; दोनों समूहों से केवल पाँचवीं संख्या ही छूटती है।\nपाँचवीं संख्या =513-(216+240)=513-456=57।\n $\"figure\"/$ \nअतः सही विकल्प (c) है।","pos":2,"neg":0.5},{"id":2163,"n":63,"subject":"Quantitative Aptitude","stem":"A batsman typically scores 50 runs in 30 innings. To raise his average by two, how many runs does he need to score in the thirty-first inning?","stemHi":"एक बल्लेबाज सामान्यतः 30 पारियों में 50 रन (औसत) बनाता है। अपने औसत में दो की वृद्धि करने के लिए उसे इकतीसवीं पारी में कितने रन बनाने होंगे?","context":null,"contextHi":null,"options":[{"key":"a","text":"118","textHi":null,"imageUrl":null},{"key":"b","text":"122","textHi":null,"imageUrl":null},{"key":"c","text":"120","textHi":null,"imageUrl":null},{"key":"d","text":"112","textHi":null,"imageUrl":null}],"correct":"d","sol":"Change in average\nRuns scored in 30 innings

= 50 \times 30 = 1500

.\nThe new average must be 50+2=52, over 31 innings.\nTotal runs then needed

= 52 \times 31 = 1612

.\nRuns required in the 31st innings =1612-1500=112.\nShortcut: required runs = new average + (old innings)

\times

increase

= 52 + 30 \times 2 = 112

.\nHence, option (d) is correct.","solHi":"औसत में परिवर्तन\n30 पारियों में बनाए गए रन

= 50 \times 30 = 1500

।\nनया औसत 50+2=52 होना चाहिए, जो 31 पारियों पर है।\nतब आवश्यक कुल रन

= 52 \times 31 = 1612

।\nइकतीसवीं पारी में आवश्यक रन =1612-1500=112।\nशॉर्टकट: अभीष्ट रन = नया औसत + (पुरानी पारियाँ)

\times

वृद्धि

= 52 + 30 \times 2 = 112

।\nअतः सही विकल्प (d) है।","pos":2,"neg":0.5},{"id":2164,"n":64,"subject":"Quantitative Aptitude","stem":"A cyclist rides at a speed of

20 km / h

and covers a distance of 80 km . Then, he increases his speed by 20% and covers another 60 km . What is the total time taken for the journey?","stemHi":"एक साइकिल चालक

20 km / h

की चाल से चलता है और 80 km की दूरी तय करता है। इसके बाद वह अपनी चाल 20% बढ़ा देता है और 60 km की दूरी और तय करता है। पूरी यात्रा में लिया गया कुल समय कितना है?","context":null,"contextHi":null,"options":[{"key":"a","text":"6 hour 30 minutes","textHi":"6 घंटे 30 मिनट","imageUrl":null},{"key":"b","text":"2 hour 10 minutes","textHi":"2 घंटे 10 मिनट","imageUrl":null},{"key":"c","text":"2 hour 40 minutes","textHi":"2 घंटे 40 मिनट","imageUrl":null},{"key":"d","text":"3 hour 10 minutes","textHi":"3 घंटे 10 मिनट","imageUrl":null}],"correct":"a","sol":"$50","solHi":"$51","pos":2,"neg":0.5},{"id":2165,"n":65,"subject":"Quantitative Aptitude","stem":"Rajkumar and Bablu are running a 300 -meter race. Rajkumar completes it in 28 seconds, while Bablu takes 32 seconds. By what distance will Rajkumar beat Bablu ?","stemHi":"राजकुमार और बबलू 300 मीटर की दौड़ में दौड़ रहे हैं। राजकुमार इसे 28 सेकंड में पूरा करता है, जबकि बबलू 32 सेकंड लेता है। राजकुमार, बबलू को कितनी दूरी से हरा देगा?","context":null,"contextHi":null,"options":[{"key":"a","text":"37.50 m","textHi":null,"imageUrl":null},{"key":"b","text":"40.18 m","textHi":null,"imageUrl":null},{"key":"c","text":"42.86 m","textHi":null,"imageUrl":null},{"key":"d","text":"45.25 m","textHi":null,"imageUrl":null}],"correct":"a","sol":"$52","solHi":"$53","pos":2,"neg":0.5},{"id":2166,"n":66,"subject":"Quantitative Aptitude","stem":"A and B can complete a work in 7 days together. If A alone can do it in 14 days, how many days will B alone take?","stemHi":"A और B मिलकर एक कार्य को 7 दिनों में पूरा कर सकते हैं। यदि A अकेला इसे 14 दिनों में कर सकता है, तो B अकेला कितने दिनों में इसे पूरा करेगा?","context":null,"contextHi":null,"options":[{"key":"a","text":"8 days","textHi":"8 दिन","imageUrl":null},{"key":"b","text":"10 days","textHi":"10 दिन","imageUrl":null},{"key":"c","text":"12 days","textHi":"12 दिन","imageUrl":null},{"key":"d","text":"14 days","textHi":"14 दिन","imageUrl":null}],"correct":"d","sol":"$54","solHi":"$55","pos":2,"neg":0.5},{"id":2167,"n":67,"subject":"Quantitative Aptitude","stem":"A watch is sold for ₹960 after a discount of

20 %

is applied. What was the original marked price of the watch?","stemHi":"

20 %

की छूट देने के बाद एक घड़ी ₹960 में बेची जाती है। घड़ी का मूल अंकित मूल्य क्या था?","context":null,"contextHi":null,"options":[{"key":"a","text":"₹1,150","textHi":null,"imageUrl":null},{"key":"b","text":"₹1,200","textHi":null,"imageUrl":null},{"key":"c","text":"₹1,050","textHi":null,"imageUrl":null},{"key":"d","text":"₹1,120","textHi":null,"imageUrl":null}],"correct":"b","sol":"Discount and marked price\nA discount of

20 %

means the selling price is

80 %

of the marked price.\n

\frac{80}{100} \times M.P. = 960

M.P. = \frac{960 \times 100}{80} = 1200

\nCheck:

20 %

of ₹1,200 is ₹240, and 1200-240=960.\nHence the marked price is ₹1,200 and option (b) is correct.","solHi":"छूट और अंकित मूल्य\n

20 %

की छूट का अर्थ है कि विक्रय मूल्य, अंकित मूल्य का

80 %

है।\n

\frac{80}{100} \times M.P. = 960

M.P. = \frac{960 \times 100}{80} = 1200

\nजाँच: ₹1,200 का

20 %

= ₹240 तथा 1200-240=960।\nअतः अंकित मूल्य ₹1,200 है और सही विकल्प (b) है।","pos":2,"neg":0.5},{"id":2168,"n":68,"subject":"Quantitative Aptitude","stem":"Two containers of equal capacity are each filled with a milk-water mixture. In the first container, the ratio of milk to water is 6 : 5, while in the second container the ratio is

4 : 7

. If the contents of both containers are combined thoroughly in a larger vessel, what will be the resulting ratio of water to milk in the final mixture?","stemHi":"समान धारिता वाले दो पात्रों में से प्रत्येक दूध-पानी के मिश्रण से भरा है। पहले पात्र में दूध और पानी का अनुपात 6 : 5 है, जबकि दूसरे पात्र में यह अनुपात

4 : 7

है। यदि दोनों पात्रों की सामग्री को एक बड़े बर्तन में अच्छी तरह मिला दिया जाए, तो अंतिम मिश्रण में पानी और दूध का अनुपात क्या होगा?","context":null,"contextHi":null,"options":[{"key":"a","text":"3 : 2","textHi":null,"imageUrl":null},{"key":"b","text":"3 : 5","textHi":null,"imageUrl":null},{"key":"c","text":"5 : 6","textHi":null,"imageUrl":null},{"key":"d","text":"6 : 5","textHi":null,"imageUrl":null}],"correct":"d","sol":"Mixture ratio\nIn the first container the parts add to 6+5=11 and in the second to 4+7=11, and the containers are equal, so take each as 11 units.\nMilk in the final mixture =6+4=10 units.\nWater in the final mixture =5+7=12 units.\n $\"figure\"/$ \nThe question asks for water : milk, so the ratio is 12:10=6:5.\nHence, option (d) is correct.","solHi":"मिश्रण का अनुपात\nपहले पात्र में भागों का योग 6+5=11 तथा दूसरे में 4+7=11 है, और दोनों पात्र समान धारिता के हैं, अतः प्रत्येक को 11 इकाई मान लीजिए।\nअंतिम मिश्रण में दूध =6+4=10 इकाई।\nअंतिम मिश्रण में पानी =5+7=12 इकाई।\n $\"figure\"/$ \nप्रश्न में पानी : दूध पूछा गया है, अतः अभीष्ट अनुपात 12:10=6:5 है।\nअतः सही विकल्प (d) है।","pos":2,"neg":0.5},{"id":2169,"n":69,"subject":"Quantitative Aptitude","stem":"In a circle of radius 17 cm , two parallel chords of lengths 16 cm and 30 cm lie on opposite sides of the centre. Determine the distance separating these two chords.","stemHi":"17 cm त्रिज्या वाले एक वृत्त में, 16 cm और 30 cm लंबाई की दो समांतर जीवाएँ केंद्र के विपरीत ओर स्थित हैं। इन दोनों जीवाओं के बीच की दूरी ज्ञात कीजिए।","context":null,"contextHi":null,"options":[{"key":"a","text":"23 cm","textHi":null,"imageUrl":null},{"key":"b","text":"34 cm","textHi":null,"imageUrl":null},{"key":"c","text":"25 cm","textHi":null,"imageUrl":null},{"key":"d","text":"20 cm","textHi":null,"imageUrl":null}],"correct":"a","sol":"$56","solHi":"$57","pos":2,"neg":0.5},{"id":2170,"n":70,"subject":"Quantitative Aptitude","stem":"PQ and RS are two parallel chords of a circle such that PQ is 48 cm and RS is 40 cm . If the chords are on the opposite sides of the centre and the distance between them is 22 cm , what is the radius (in cm ) of the circle?","stemHi":"PQ और RS एक वृत्त की दो समांतर जीवाएँ इस प्रकार हैं कि PQ 48 cm है तथा RS 40 cm है। यदि ये जीवाएँ केंद्र के विपरीत ओर हैं और उनके बीच की दूरी 22 cm है, तो वृत्त की त्रिज्या (cm में) क्या है?","context":null,"contextHi":null,"options":[{"key":"a","text":"25","textHi":null,"imageUrl":null},{"key":"b","text":"24","textHi":null,"imageUrl":null},{"key":"c","text":"35","textHi":null,"imageUrl":null},{"key":"d","text":"22","textHi":null,"imageUrl":null}],"correct":"a","sol":"$58","solHi":"$59","pos":2,"neg":0.5},{"id":2171,"n":71,"subject":"Quantitative Aptitude","stem":"From point A , two tangents AP and AQ are drawn to a circle. If the length of the chord PQ is equal to the radius of the circle, what is the angle

∠ PAQ

?","stemHi":"बिंदु A से एक वृत्त पर दो स्पर्श रेखाएँ AP और AQ खींची गई हैं। यदि जीवा PQ की लंबाई वृत्त की त्रिज्या के बराबर है, तो कोण

∠ PAQ

कितना है?","context":null,"contextHi":null,"options":[{"key":"a","text":"90°","textHi":null,"imageUrl":null},{"key":"b","text":"60°","textHi":null,"imageUrl":null},{"key":"c","text":"45°","textHi":null,"imageUrl":null},{"key":"d","text":"120°","textHi":null,"imageUrl":null}],"correct":"d","sol":"$5a","solHi":"$5b","pos":2,"neg":0.5},{"id":2172,"n":72,"subject":"Quantitative Aptitude","stem":"A circle has radius of 8 cm , and there is a point situated 15 cm away from the center of the circle. A tangent is drawn from this point to touch the circle. Calculate the length of the tangent segment.","stemHi":"एक वृत्त की त्रिज्या 8 cm है और वृत्त के केंद्र से 15 cm की दूरी पर एक बिंदु स्थित है। इस बिंदु से वृत्त को स्पर्श करती हुई एक स्पर्श रेखा खींची जाती है। स्पर्श रेखा खंड की लंबाई ज्ञात कीजिए।","context":null,"contextHi":null,"options":[{"key":"a","text":"17 cm","textHi":null,"imageUrl":null},{"key":"b","text":"18 cm","textHi":null,"imageUrl":null},{"key":"c","text":"19 cm","textHi":null,"imageUrl":null},{"key":"d","text":"16 cm","textHi":null,"imageUrl":null}],"correct":"a","sol":"$5c","solHi":"स्पर्श रेखा की लंबाई\nस्पर्श बिंदु पर खींची गई त्रिज्या स्पर्श रेखा के लंबवत होती है, अतः केंद्र O, स्पर्श बिंदु T तथा बाह्य बिंदु P से बना त्रिभुज T पर समकोण है।\n $\"figure\"/$ \nदी गई दोनों लंबाइयों 8 cm तथा 15 cm पर पाइथागोरस प्रमेय लगाने पर:\n

8^{2} + 15^{2} = 64 + 225 = 289

\sqrt{289} = 17

, अतः अभीष्ट लंबाई 17 cm है।\n(8, 15, 17) एक मानक पाइथागोरस त्रिक है, जिसे (3, 4, 5), (5, 12, 13) तथा (7, 24, 25) के साथ याद रखना चाहिए।\nअतः सही विकल्प (a) है।","pos":2,"neg":0.5},{"id":2173,"n":73,"subject":"Quantitative Aptitude","stem":"A line passes through the points (2, 4) and (4, 8). What is the equation of the line?","stemHi":"एक रेखा बिंदुओं (2, 4) और (4, 8) से होकर जाती है। इस रेखा का समीकरण क्या है?","context":null,"contextHi":null,"options":[{"key":"a","text":"

y = 2 x

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

y = \frac{x}{3}

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

y = \frac{x}{2}

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

y = 5 x

","textHi":null,"imageUrl":null}],"correct":"a","sol":"$5d","solHi":"$5e","pos":2,"neg":0.5},{"id":2174,"n":74,"subject":"Quantitative Aptitude","stem":"The angle at the center of a circle subtended by a chord is

60^{\circ}

. What is the length of the chord if the radius of the circle is 9 cm ?","stemHi":"किसी वृत्त की एक जीवा द्वारा केंद्र पर अंतरित कोण

60^{\circ}

है। यदि वृत्त की त्रिज्या 9 cm है, तो जीवा की लंबाई कितनी है?","context":null,"contextHi":null,"options":[{"key":"a","text":"7 cm","textHi":null,"imageUrl":null},{"key":"b","text":"8 cm","textHi":null,"imageUrl":null},{"key":"c","text":"9 cm","textHi":null,"imageUrl":null},{"key":"d","text":"10 cm","textHi":null,"imageUrl":null}],"correct":"c","sol":"$5f","solHi":"$60","pos":2,"neg":0.5},{"id":2175,"n":75,"subject":"Quantitative Aptitude","stem":"Rahul sold a bicycle for ₹5250 at a

5 %

profit. What should be the selling price of the bicycle to gain a

20 %

profit?","stemHi":"राहुल ने एक साइकिल

5 %

लाभ पर ₹5250 में बेची।

20 %

लाभ प्राप्त करने के लिए साइकिल का विक्रय मूल्य कितना होना चाहिए?","context":null,"contextHi":null,"options":[{"key":"a","text":"₹ 6237","textHi":null,"imageUrl":null},{"key":"b","text":"₹ 4600","textHi":null,"imageUrl":null},{"key":"c","text":"₹ 6000","textHi":null,"imageUrl":null},{"key":"d","text":"₹ 5089","textHi":null,"imageUrl":null}],"correct":"c","sol":"$61","solHi":"$62","pos":2,"neg":0.5},{"id":2176,"n":76,"subject":"General Awareness","stem":"After gaining control over the Kaveri delta, which of the following steps were taken by Vijayalaya Chola?\nI. Establishment of Thanjavur as a town\nII. Construction of a temple dedicated to Goddess Nishumbhasudini","stemHi":"कावेरी डेल्टा पर नियंत्रण प्राप्त करने के बाद विजयालय चोल द्वारा निम्नलिखित में से कौन-से कदम उठाए गए थे?\nI. तंजावुर की एक नगर के रूप में स्थापना\nII. देवी निशुम्भसूदिनी को समर्पित एक मंदिर का निर्माण","context":null,"contextHi":null,"options":[{"key":"a","text":"Only II","textHi":"केवल II","imageUrl":null},{"key":"b","text":"Only I","textHi":"केवल I","imageUrl":null},{"key":"c","text":"Both I and II","textHi":"I और II दोनों","imageUrl":null},{"key":"d","text":"Neither I nor II","textHi":"न तो I और न ही II","imageUrl":null}],"correct":"c","sol":"Vijayalaya Chola\nVijayalaya, the founder of the imperial Chola line, seized the Kaveri delta from the Muttaraiyar chiefs in the middle of the ninth century.\nHe then built up Thanjavur as a town and made it his capital, so statement I is correct.\nAt Thanjavur he also built a temple for the goddess Nishumbhasudini, a form of Durga, so statement II is correct as well.\nTemple building was the standard way a new Chola ruler announced his power, and this temple set the pattern later carried forward by Rajaraja I's Brihadeshvara temple.\nHence both I and II are correct and option (c) is correct.","solHi":"विजयालय चोल\nसाम्राज्यवादी चोल वंश के संस्थापक विजयालय ने नौवीं शताब्दी के मध्य में मुत्तरैयर सरदारों से कावेरी डेल्टा छीन लिया।\nइसके बाद उन्होंने तंजावुर को एक नगर के रूप में विकसित किया और उसे अपनी राजधानी बनाया, अतः कथन I सही है।\nतंजावुर में ही उन्होंने देवी निशुम्भसूदिनी (दुर्गा का एक रूप) का मंदिर भी बनवाया, अतः कथन II भी सही है।\nमंदिर-निर्माण नए चोल शासक की शक्ति की घोषणा का प्रचलित तरीका था, और इसी परंपरा को आगे चलकर राजराज प्रथम के बृहदेश्वर मंदिर ने आगे बढ़ाया।\nअतः I और II दोनों सही हैं और सही विकल्प (c) है।","pos":2,"neg":0.5},{"id":2177,"n":77,"subject":"General Awareness","stem":"Which of the following Rajput clans refused to accept the authority of the Mughal Empire for a prolonged period, maintaining political independence?","stemHi":"निम्नलिखित में से किस राजपूत वंश ने लंबे समय तक मुगल साम्राज्य की अधीनता स्वीकार करने से इनकार किया और अपनी राजनीतिक स्वतंत्रता बनाए रखी?","context":null,"contextHi":null,"options":[{"key":"a","text":"Sisodiya","textHi":"सिसोदिया","imageUrl":null},{"key":"b","text":"Chauhan","textHi":"चौहान","imageUrl":null},{"key":"c","text":"Rathore","textHi":"राठौड़","imageUrl":null},{"key":"d","text":"Kachhwaha","textHi":"कछवाहा","imageUrl":null}],"correct":"a","sol":"Rajputs and the Mughals\nThe Sisodiya Rajputs of Mewar are the clan that refused Mughal overlordship for the longest period.\nRana Sanga fought Babur at Khanwa in 1527 and Rana Pratap refused Akbar's terms, meeting him at Haldighati in 1576.\nThe Kachhwahas of Amber and the Rathores of Marwar, by contrast, accepted Mughal service and entered into matrimonial alliances with the imperial family.\nThe Chauhans had already lost their power in north India long before the Mughals arrived.\nHence, option (a) is correct.","solHi":"राजपूत और मुगल\nमेवाड़ के सिसोदिया राजपूत वही वंश हैं जिन्होंने सबसे लंबे समय तक मुगल अधीनता स्वीकार करने से इनकार किया।\nराणा सांगा ने 1527 में खानवा में बाबर से युद्ध किया तथा राणा प्रताप ने अकबर की शर्तें ठुकराकर 1576 में हल्दीघाटी में उसका सामना किया।\nइसके विपरीत आमेर के कछवाहा तथा मारवाड़ के राठौड़ों ने मुगल सेवा स्वीकार की और शाही परिवार से वैवाहिक संबंध भी बनाए।\nचौहान वंश तो मुगलों के आने से बहुत पहले ही उत्तर भारत में अपनी सत्ता खो चुका था।\nअतः सही विकल्प (a) है।","pos":2,"neg":0.5},{"id":2178,"n":78,"subject":"General Awareness","stem":"'Al Kiran' in India is a pioneering initiative aimed at promoting gender inclusion and leadership of women in Artificial Intelligence.\nThe initiative is co-led by which of the following institutions?","stemHi":"भारत में 'Al Kiran' एक अग्रणी पहल है जिसका उद्देश्य कृत्रिम बुद्धिमत्ता (Artificial Intelligence) के क्षेत्र में लैंगिक समावेशन तथा महिलाओं के नेतृत्व को बढ़ावा देना है।\nयह पहल निम्नलिखित में से किस संस्थान के सह-नेतृत्व में संचालित है?","context":null,"contextHi":null,"options":[{"key":"a","text":"Office of the Principal Scientific Adviser","textHi":"प्रधान वैज्ञानिक सलाहकार का कार्यालय","imageUrl":null},{"key":"b","text":"Department of Science and Technology","textHi":"विज्ञान एवं प्रौद्योगिकी विभाग","imageUrl":null},{"key":"c","text":"Ministry of Skill Development and Entrepreneurship","textHi":"कौशल विकास एवं उद्यमिता मंत्रालय","imageUrl":null},{"key":"d","text":"Digital India Corporation","textHi":"डिजिटल इंडिया कॉर्पोरेशन","imageUrl":null}],"correct":"a","sol":"AI Kiran initiative\nAI Kiran is a national movement to bring far more women into artificial intelligence — into AI skilling, research and leadership roles.\nIt is co-led by the Office of the Principal Scientific Adviser (PSA) to the Government of India, together with partners such as Verix and INK Women.\nThe PSA's office is the body that coordinates science and technology missions across ministries, which is why a cross-sector AI mission of this kind sits with it.\nThe Department of Science and Technology, the Ministry of Skill Development and Digital India Corporation run their own programmes, but none of them co-leads AI Kiran.\nHence, option (a) is correct.","solHi":"AI Kiran पहल\nAI Kiran एक राष्ट्रीय अभियान है जिसका उद्देश्य कहीं अधिक महिलाओं को कृत्रिम बुद्धिमत्ता के क्षेत्र में — कौशल, अनुसंधान तथा नेतृत्व की भूमिकाओं में — लाना है।\nइसका सह-नेतृत्व भारत सरकार के प्रधान वैज्ञानिक सलाहकार (PSA) का कार्यालय, Verix तथा INK Women जैसे साझेदारों के साथ मिलकर करता है।\nPSA का कार्यालय वही निकाय है जो विभिन्न मंत्रालयों में विज्ञान एवं प्रौद्योगिकी मिशनों में समन्वय करता है, इसीलिए इस प्रकार का अंतर-क्षेत्रीय AI मिशन उसी के पास है।\nविज्ञान एवं प्रौद्योगिकी विभाग, कौशल विकास मंत्रालय तथा डिजिटल इंडिया कॉर्पोरेशन अपने-अपने कार्यक्रम चलाते हैं, किंतु इनमें से कोई भी AI Kiran का सह-नेतृत्व नहीं करता।\nअतः सही विकल्प (a) है।","pos":2,"neg":0.5},{"id":2179,"n":79,"subject":"General Awareness","stem":"For an NPS Vatsalya account launched in September 2024, what is the least amount a parent/guardian must deposit annually to keep the account active?","stemHi":"सितंबर 2024 में शुरू किए गए NPS वात्सल्य खाते को सक्रिय बनाए रखने के लिए माता-पिता/अभिभावक को प्रतिवर्ष कम-से-कम कितनी राशि जमा करनी होती है?","context":null,"contextHi":null,"options":[{"key":"a","text":"Rs 750","textHi":null,"imageUrl":null},{"key":"b","text":"Rs 1500","textHi":null,"imageUrl":null},{"key":"c","text":"Rs 1000","textHi":null,"imageUrl":null},{"key":"d","text":"Rs 2000","textHi":null,"imageUrl":null}],"correct":"c","sol":"NPS Vatsalya scheme\nNPS Vatsalya, launched in September 2024, is a pension account opened and operated by a parent or guardian in the name of a minor.\nIt needs ₹1,000 to open, and a contribution of at least ₹1,000 every year to keep the account active.\nWhen the child turns 18 the account is converted into a regular NPS account, and the pension itself begins only after the age of 60.\nThe scheme is regulated by the PFRDA, which issues a PRAN card to the minor subscriber.\nHence, option (c) is correct.","solHi":"एनपीएस वात्सल्य योजना\nसितंबर 2024 में शुरू की गई NPS वात्सल्य एक पेंशन खाता योजना है, जिसे माता-पिता या अभिभावक किसी अवयस्क के नाम पर खोलते और संचालित करते हैं।\nइसे खोलने के लिए ₹1,000 आवश्यक हैं तथा खाते को सक्रिय बनाए रखने के लिए प्रतिवर्ष कम-से-कम ₹1,000 का अंशदान करना होता है।\nबच्चे के 18 वर्ष का होने पर यह खाता सामान्य NPS खाते में बदल जाता है और पेंशन 60 वर्ष की आयु के बाद ही आरंभ होती है।\nयह योजना PFRDA द्वारा विनियमित है, जो अवयस्क अंशधारक को PRAN कार्ड जारी करता है।\nअतः सही विकल्प (c) है।","pos":2,"neg":0.5},{"id":2180,"n":80,"subject":"General Awareness","stem":"Which of the following components are considered while calculating India's Financial Inclusion Index?\nI. Access to financial services\nII. Usage of financial products","stemHi":"भारत के वित्तीय समावेशन सूचकांक (Financial Inclusion Index) की गणना करते समय निम्नलिखित में से कौन-से घटक ध्यान में रखे जाते हैं?\nI. वित्तीय सेवाओं तक पहुँच\nII. वित्तीय उत्पादों का उपयोग","context":null,"contextHi":null,"options":[{"key":"a","text":"Only I","textHi":"केवल I","imageUrl":null},{"key":"b","text":"Only II","textHi":"केवल II","imageUrl":null},{"key":"c","text":"Both I and II","textHi":"I और II दोनों","imageUrl":null},{"key":"d","text":"Neither I nor II","textHi":"न तो I और न ही II","imageUrl":null}],"correct":"c","sol":"Financial Inclusion Index\nThe RBI's Financial Inclusion Index (FI-Index) is built from three parameters — Access, Usage and Quality.\nAccess, with a weight of 35%, measures the availability of banking points such as branches, ATMs and business correspondents, so statement I is counted.\nUsage, with the largest weight of 45%, measures how far people actually use accounts, credit, insurance, investment and remittance services, so statement II is counted as well.\nQuality carries the remaining 20% and looks at financial literacy, grievance redressal and inequality in service.\n $\"figure\"/$ \nHence both components are used and option (c) is correct.","solHi":"वित्तीय समावेशन सूचकांक\nभारतीय रिज़र्व बैंक का वित्तीय समावेशन सूचकांक (FI-Index) तीन मानकों — पहुँच (Access), उपयोग (Usage) तथा गुणवत्ता (Quality) — पर आधारित है।\n35% भार वाला 'पहुँच' मानक शाखाओं, ATM तथा बिज़नेस कॉरेस्पॉन्डेंट जैसी बैंकिंग सुविधाओं की उपलब्धता मापता है, अतः कथन I इसमें शामिल है।\nसर्वाधिक 45% भार वाला 'उपयोग' मानक यह मापता है कि लोग खातों, ऋण, बीमा, निवेश तथा धन-प्रेषण सेवाओं का वास्तव में कितना उपयोग करते हैं, अतः कथन II भी शामिल है।\nशेष 20% भार 'गुणवत्ता' का है, जिसमें वित्तीय साक्षरता, शिकायत निवारण तथा सेवाओं में असमानता देखी जाती है।\n $\"figure\"/$ \nअतः दोनों घटक प्रयोग किए जाते हैं और सही विकल्प (c) है।","pos":2,"neg":0.5},{"id":2181,"n":81,"subject":"General Awareness","stem":"In the 2025 World Press Freedom Index, what is the global ranking of India in terms of press freedom?","stemHi":"2025 के विश्व प्रेस स्वतंत्रता सूचकांक (World Press Freedom Index) में प्रेस की स्वतंत्रता के संदर्भ में भारत का वैश्विक स्थान क्या है?","context":null,"contextHi":null,"options":[{"key":"a","text":"173rd","textHi":"173वाँ","imageUrl":null},{"key":"b","text":"132nd","textHi":"132वाँ","imageUrl":null},{"key":"c","text":"151st","textHi":"151वाँ","imageUrl":null},{"key":"d","text":"119th","textHi":"119वाँ","imageUrl":null}],"correct":"c","sol":"Indices and reports\nThe World Press Freedom Index is brought out every year by Reporters Without Borders (RSF), which ranks 180 countries.\nIn the 2025 Index India is placed 151st out of 180 countries.\n $\"figure\"/$ \nIndia climbed eight places from 159th in 2024, but its score keeps it in the 'very serious' band; Norway again stood first.\nThe rank is built from five indicators: political, economic, legislative, social and security context.\nHence, option (c) is correct.","solHi":"सूचकांक एवं रिपोर्ट\nविश्व प्रेस स्वतंत्रता सूचकांक प्रतिवर्ष रिपोर्टर्स विदाउट बॉर्डर्स (RSF) द्वारा जारी किया जाता है, जिसमें 180 देशों की रैंकिंग की जाती है।\nवर्ष 2025 के सूचकांक में भारत 180 देशों में 151वें स्थान पर है।\n $\"figure\"/$ \nभारत 2024 के 159वें स्थान से आठ पायदान ऊपर आया, फिर भी उसका स्कोर उसे 'अत्यंत गंभीर' श्रेणी में ही रखता है; नॉर्वे पुनः प्रथम स्थान पर रहा।\nयह रैंक पाँच संकेतकों से बनती है: राजनीतिक, आर्थिक, विधायी, सामाजिक तथा सुरक्षा संदर्भ।\nअतः सही विकल्प (c) है।","pos":2,"neg":0.5},{"id":2182,"n":82,"subject":"General Awareness","stem":"Consider the Export Preparedness Index of India. How many pillars constitute this index?","stemHi":"भारत के निर्यात तत्परता सूचकांक (Export Preparedness Index) पर विचार कीजिए। यह सूचकांक कितने स्तंभों से मिलकर बना है?","context":null,"contextHi":null,"options":[{"key":"a","text":"12","textHi":null,"imageUrl":null},{"key":"b","text":"9","textHi":null,"imageUrl":null},{"key":"c","text":"3","textHi":null,"imageUrl":null},{"key":"d","text":"4","textHi":null,"imageUrl":null}],"correct":"d","sol":"Export Preparedness Index\nThe Export Preparedness Index (EPI) is released by NITI Aayog to rank States and Union Territories on how ready they are to export.\nIt is a composite index built on 4 pillars, which are further broken into 10 sub-pillars.\n $\"figure\"/$ \nSo the number of pillars asked for is 4.\nHence, option (d) is correct.","solHi":"निर्यात तत्परता सूचकांक\nनिर्यात तत्परता सूचकांक (EPI) नीति आयोग द्वारा जारी किया जाता है, जो राज्यों एवं केंद्रशासित प्रदेशों को निर्यात के लिए उनकी तैयारी के आधार पर रैंक करता है।\nयह एक समग्र सूचकांक है, जो 4 स्तंभों पर आधारित है और इन्हें आगे 10 उप-स्तंभों में विभाजित किया गया है।\n $\"figure\"/$ \nअतः पूछे गए स्तंभों की संख्या 4 है।\nअतः सही विकल्प (d) है।","pos":2,"neg":0.5},{"id":2183,"n":83,"subject":"General Awareness","stem":"On 2 February 2025, World Wetlands Day was observed in Uttar Pradesh at:","stemHi":"2 फरवरी 2025 को उत्तर प्रदेश में विश्व आर्द्रभूमि दिवस कहाँ मनाया गया?","context":null,"contextHi":null,"options":[{"key":"a","text":"Lucknow Ramsar Site","textHi":"लखनऊ रामसर स्थल","imageUrl":null},{"key":"b","text":"Gonda's Parvati Arga Ramsar Site","textHi":"गोंडा का पार्वती अर्गा रामसर स्थल","imageUrl":null},{"key":"c","text":"Noida Wetland Park","textHi":"नोएडा वेटलैंड पार्क","imageUrl":null},{"key":"d","text":"Ayodhya Eco-park","textHi":"अयोध्या इको-पार्क","imageUrl":null}],"correct":"b","sol":"World Wetlands Day\nWorld Wetlands Day is observed on 2 February, the day the Ramsar Convention on Wetlands was signed in Ramsar, Iran, in 1971.\nIn 2025 the Uttar Pradesh observance was held at the Parvati Arga Ramsar Site in Gonda district, a lake famous for its winter migratory birds.\nThe theme for 2025 was 'Protecting Wetlands for Our Common Future'.\nLucknow, Noida and Ayodhya in the other options carry no Ramsar site of this name, so they can be ruled out.\nHence, option (b) is correct.","solHi":"विश्व आर्द्रभूमि दिवस\nविश्व आर्द्रभूमि दिवस 2 फरवरी को मनाया जाता है, क्योंकि इसी दिन 1971 में ईरान के रामसर नगर में आर्द्रभूमि पर रामसर अभिसमय पर हस्ताक्षर हुए थे।\nवर्ष 2025 में उत्तर प्रदेश का राज्य स्तरीय आयोजन गोंडा जिले के पार्वती अर्गा रामसर स्थल पर हुआ, जो शीतकालीन प्रवासी पक्षियों के लिए प्रसिद्ध झील है।\nवर्ष 2025 की विषयवस्तु (थीम) थी 'Protecting Wetlands for Our Common Future'।\nअन्य विकल्पों में दिए गए लखनऊ, नोएडा तथा अयोध्या में इस नाम का कोई रामसर स्थल नहीं है, अतः इन्हें छोड़ा जा सकता है।\nअतः सही विकल्प (b) है।","pos":2,"neg":0.5},{"id":2184,"n":84,"subject":"General Awareness","stem":"Bandipur Tiger Reserve, one of the earliest tiger reserves established under Project Tiger, is located in which Indian state?","stemHi":"बांदीपुर टाइगर रिजर्व, जो प्रोजेक्ट टाइगर के अंतर्गत स्थापित सबसे प्रारंभिक टाइगर रिजर्वों में से एक है, भारत के किस राज्य में स्थित है?","context":null,"contextHi":null,"options":[{"key":"a","text":"Uttar Pradesh","textHi":"उत्तर प्रदेश","imageUrl":null},{"key":"b","text":"Karnataka","textHi":"कर्नाटक","imageUrl":null},{"key":"c","text":"Maharashtra","textHi":"महाराष्ट्र","imageUrl":null},{"key":"d","text":"Jharkhand","textHi":"झारखंड","imageUrl":null}],"correct":"b","sol":"Tiger reserves\nBandipur Tiger Reserve lies in the Chamarajanagar district of Karnataka, on the Mysuru-Ooty road at the foot of the Western Ghats.\nIt was among the first nine reserves notified in 1973 when Project Tiger was launched.\nTogether with Nagarahole, Mudumalai and Wayanad it forms the Nilgiri Biosphere Reserve, the largest tiger habitat block in India.\nKarnataka's other tiger reserves are Nagarahole, Bhadra, Kali and Biligiri Ranganatha Temple (BRT).\nHence, option (b) is correct.","solHi":"टाइगर रिजर्व\nबांदीपुर टाइगर रिजर्व कर्नाटक के चामराजनगर जिले में, पश्चिमी घाट की तलहटी में मैसूरु-ऊटी मार्ग पर स्थित है।\nप्रोजेक्ट टाइगर के प्रारंभ होने पर 1973 में अधिसूचित पहले नौ रिजर्वों में यह सम्मिलित था।\nनागरहोल, मुदुमलई तथा वायनाड के साथ मिलकर यह नीलगिरि जीवमंडल आरक्षित क्षेत्र बनाता है, जो भारत का सबसे बड़ा बाघ आवास क्षेत्र है।\nकर्नाटक के अन्य टाइगर रिजर्व हैं - नागरहोल, भद्रा, काली तथा बिलिगिरि रंगनाथ मंदिर (BRT)।\nअतः सही विकल्प (b) है।","pos":2,"neg":0.5},{"id":2185,"n":85,"subject":"General Awareness","stem":"The working principle behind a satellite launch vehicle is based on:","stemHi":"उपग्रह प्रक्षेपण यान के कार्य करने का सिद्धांत किस पर आधारित है?","context":null,"contextHi":null,"options":[{"key":"a","text":"Newton's third law of motion","textHi":"न्यूटन का गति का तृतीय नियम","imageUrl":null},{"key":"b","text":"Newton's first law of motion","textHi":"न्यूटन का गति का प्रथम नियम","imageUrl":null},{"key":"c","text":"Newton's second law of motion","textHi":"न्यूटन का गति का द्वितीय नियम","imageUrl":null},{"key":"d","text":"Bernoulli's principle","textHi":"बर्नूली का सिद्धांत","imageUrl":null}],"correct":"a","sol":"Newton's laws of motion\nA launch vehicle burns fuel and throws hot gases downward at high speed through its nozzle; this is the action.\nBy Newton's third law, for every action there is an equal and opposite reaction, so the gases push the rocket upward with the same force.\n $\"figure\"/$ \nThe same law explains the recoil of a gun, walking on the ground and the rowing of a boat.\nThe second law only tells how much acceleration that thrust produces, and Bernoulli's principle explains aircraft wings, not rocket lift-off.\nHence, option (a) is correct.","solHi":"न्यूटन के गति नियम\nप्रक्षेपण यान ईंधन जलाकर अपने नोजल से गर्म गैसों को तीव्र गति से नीचे की ओर फेंकता है; यही क्रिया (action) है।\nन्यूटन के तृतीय नियम के अनुसार प्रत्येक क्रिया के बराबर तथा विपरीत दिशा में प्रतिक्रिया होती है, अतः गैसें यान को उतने ही बल से ऊपर की ओर धकेलती हैं।\n $\"figure\"/$ \nयही नियम बंदूक के पीछे हटने, भूमि पर चलने तथा नाव खेने की व्याख्या भी करता है।\nद्वितीय नियम केवल यह बताता है कि उस प्रणोद से कितना त्वरण उत्पन्न होगा, तथा बर्नूली का सिद्धांत वायुयान के पंखों की व्याख्या करता है, रॉकेट के प्रक्षेपण की नहीं।\nअतः सही विकल्प (a) है।","pos":2,"neg":0.5},{"id":2186,"n":86,"subject":"General Awareness","stem":"Which country developed the world's first wooden satellite, LignoSat, in 2024?","stemHi":"वर्ष 2024 में विश्व का पहला लकड़ी का उपग्रह LignoSat किस देश ने विकसित किया?","context":null,"contextHi":null,"options":[{"key":"a","text":"India","textHi":"भारत","imageUrl":null},{"key":"b","text":"USA","textHi":null,"imageUrl":null},{"key":"c","text":"Japan","textHi":"जापान","imageUrl":null},{"key":"d","text":"South Korea","textHi":"दक्षिण कोरिया","imageUrl":null}],"correct":"c","sol":"Space technology\nLignoSat, the world's first wooden satellite, was built in Japan by Kyoto University together with Sumitomo Forestry.\nThe palm-sized CubeSat, made of magnolia wood, was sent to the International Space Station in November 2024 and released into orbit.\nIts purpose is to test wood as a space material: a wooden body burns up completely on re-entry and leaves no metal particles or debris behind.\nHence, option (c) is correct.","solHi":"अंतरिक्ष प्रौद्योगिकी\nविश्व का पहला लकड़ी का उपग्रह LignoSat जापान में क्योटो विश्वविद्यालय ने सुमितोमो फॉरेस्ट्री के साथ मिलकर बनाया।\nमैगनोलिया की लकड़ी से बना यह हथेली के आकार का क्यूबसैट नवंबर 2024 में अंतर्राष्ट्रीय अंतरिक्ष स्टेशन भेजा गया और वहाँ से कक्षा में छोड़ा गया।\nइसका उद्देश्य अंतरिक्ष सामग्री के रूप में लकड़ी का परीक्षण करना है: लकड़ी का ढाँचा पुनःप्रवेश के समय पूर्णतः जल जाता है और कोई धातु कण या मलबा नहीं छोड़ता।\nअतः सही विकल्प (c) है।","pos":2,"neg":0.5},{"id":2187,"n":87,"subject":"General Awareness","stem":"Which of the following demonstrates cooling caused by evaporation?\nI. Pouring acetone on the palm\nII. Sprinkling water on the roof after a hot day","stemHi":"निम्नलिखित में से कौन-सा/से वाष्पन के कारण होने वाली शीतलता को दर्शाता है/दर्शाते हैं?\nI. हथेली पर एसीटोन डालना\nII. गर्म दिन के बाद छत पर पानी छिड़कना","context":null,"contextHi":null,"options":[{"key":"a","text":"Only I","textHi":"केवल I","imageUrl":null},{"key":"b","text":"Only II","textHi":"केवल II","imageUrl":null},{"key":"c","text":"Both I and II","textHi":"I और II दोनों","imageUrl":null},{"key":"d","text":"Neither I nor II","textHi":"न तो I और न ही II","imageUrl":null}],"correct":"c","sol":"Evaporation and cooling\nWhen a liquid evaporates, its fastest molecules escape and the latent heat of vaporisation needed for this is drawn from the surface below.\nThat surface loses heat, so its temperature falls - this is evaporative cooling.\n $\"figure\"/$ \nAcetone is highly volatile, so on the palm it evaporates at once and the skin feels distinctly cold.\nWater sprinkled on a hot roof also evaporates and takes heat away from the roof, cooling it.\nBoth statements therefore describe cooling by evaporation.\nHence, option (c) is correct.","solHi":"वाष्पन और शीतलन\nजब कोई द्रव वाष्पित होता है तो उसके तीव्रतम अणु बाहर निकल जाते हैं और इसके लिए आवश्यक वाष्पन की गुप्त ऊष्मा नीचे की सतह से ली जाती है।\nवह सतह ऊष्मा खो देती है, अतः उसका ताप घट जाता है - इसे ही वाष्पीय शीतलन कहते हैं।\n $\"figure\"/$ \nएसीटोन अत्यधिक वाष्पशील है, अतः हथेली पर वह तुरंत वाष्पित हो जाता है और त्वचा स्पष्ट रूप से ठंडक अनुभव करती है।\nगर्म छत पर छिड़का गया पानी भी वाष्पित होकर छत से ऊष्मा ले लेता है और उसे ठंडा कर देता है।\nअतः दोनों कथन वाष्पन द्वारा होने वाली शीतलता को दर्शाते हैं।\nअतः सही विकल्प (c) है।","pos":2,"neg":0.5},{"id":2188,"n":88,"subject":"General Awareness","stem":"The plundering of Delhi by Nadir Shah took place in which of the following years?","stemHi":"नादिर शाह द्वारा दिल्ली की लूट निम्नलिखित में से किस वर्ष में हुई थी?","context":null,"contextHi":null,"options":[{"key":"a","text":"1739","textHi":null,"imageUrl":null},{"key":"b","text":"1745","textHi":null,"imageUrl":null},{"key":"c","text":"1725","textHi":null,"imageUrl":null},{"key":"d","text":"1717","textHi":null,"imageUrl":null}],"correct":"a","sol":"Later Mughal period\nNadir Shah, the ruler of Persia, defeated the Mughal emperor Muhammad Shah at the Battle of Karnal in February 1739.\nHe then entered Delhi and plundered the city in March 1739, ordering a general massacre after a riot broke out.\nHe carried away the Peacock Throne and the Koh-i-Noor diamond, a blow from which Mughal prestige never recovered.\nHence, option (a) is correct.","solHi":"उत्तरकालीन मुगल काल\nफारस के शासक नादिर शाह ने फरवरी 1739 में करनाल के युद्ध में मुगल सम्राट मुहम्मद शाह को पराजित किया।\nइसके बाद उसने दिल्ली में प्रवेश कर मार्च 1739 में नगर को लूटा तथा उपद्रव भड़कने पर कत्लेआम का आदेश दिया।\nवह तख्त-ए-ताऊस (मयूर सिंहासन) तथा कोहिनूर हीरा अपने साथ ले गया, जिस आघात से मुगल प्रतिष्ठा फिर कभी उबर न सकी।\nअतः सही विकल्प (a) है।","pos":2,"neg":0.5},{"id":2189,"n":89,"subject":"General Awareness","stem":"Sawai Jai Singh of Amber founded which of the following cities as his capital?","stemHi":"आमेर के सवाई जय सिंह ने निम्नलिखित में से किस नगर की स्थापना अपनी राजधानी के रूप में की?","context":null,"contextHi":null,"options":[{"key":"a","text":"Jaipur","textHi":"जयपुर","imageUrl":null},{"key":"b","text":"Alwar","textHi":"अलवर","imageUrl":null},{"key":"c","text":"Kota","textHi":"कोटा","imageUrl":null},{"key":"d","text":"Udaipur","textHi":"उदयपुर","imageUrl":null}],"correct":"a","sol":"Rajput states\nSawai Jai Singh II of Amber founded Jaipur in 1727 and shifted his capital there from the hill fort of Amber.\nLaid out by Vidyadhar Bhattacharya on a grid of nine blocks following Vastu and Shilpa Shastra, it is one of India's earliest planned cities.\nThe same ruler built the Jantar Mantar observatories at Jaipur, Delhi, Ujjain, Mathura and Varanasi.\nAlwar, Kota and Udaipur were capitals of other Rajput houses, not of Amber.\nHence, option (a) is correct.","solHi":"राजपूत राज्य\nआमेर के सवाई जय सिंह द्वितीय ने 1727 में जयपुर की स्थापना की और अपनी राजधानी आमेर के पहाड़ी दुर्ग से वहाँ स्थानांतरित कर दी।\nविद्याधर भट्टाचार्य द्वारा वास्तु एवं शिल्प शास्त्र के अनुसार नौ खंडों की ग्रिड पर बसाया गया यह नगर भारत के प्राचीनतम नियोजित नगरों में से एक है।\nइन्हीं शासक ने जयपुर, दिल्ली, उज्जैन, मथुरा तथा वाराणसी में जंतर-मंतर वेधशालाओं का निर्माण कराया।\nअलवर, कोटा तथा उदयपुर अन्य राजपूत घरानों की राजधानियाँ थीं, आमेर की नहीं।\nअतः सही विकल्प (a) है।","pos":2,"neg":0.5},{"id":2190,"n":90,"subject":"General Awareness","stem":"Under the Fiscal Responsibility and Budget Management (FRBM) Act, how many policy statements must be presented along with the Union Budget?","stemHi":"राजकोषीय उत्तरदायित्व एवं बजट प्रबंधन (FRBM) अधिनियम के अंतर्गत, केंद्रीय बजट के साथ कितने नीतिगत विवरण प्रस्तुत किए जाने आवश्यक हैं?","context":null,"contextHi":null,"options":[{"key":"a","text":"5","textHi":null,"imageUrl":null},{"key":"b","text":"3","textHi":null,"imageUrl":null},{"key":"c","text":"4","textHi":null,"imageUrl":null},{"key":"d","text":"6","textHi":null,"imageUrl":null}],"correct":"b","sol":"FRBM Act\nThe Fiscal Responsibility and Budget Management (FRBM) Act, 2003 was passed to bring discipline and transparency to government finances.\nUnder it the Central Government must lay three policy statements before Parliament along with the Union Budget.\n $\"figure\"/$ \nThese statements set out the fiscal targets, the strategy behind them and the macro-economic assumptions on which the Budget rests.\nHence, option (b) is correct.","solHi":"एफआरबीएम अधिनियम\nराजकोषीय उत्तरदायित्व एवं बजट प्रबंधन (FRBM) अधिनियम, 2003 सरकारी वित्त में अनुशासन तथा पारदर्शिता लाने के लिए पारित किया गया था।\nइसके अंतर्गत केंद्र सरकार को केंद्रीय बजट के साथ संसद में तीन नीतिगत विवरण प्रस्तुत करने होते हैं।\n $\"figure\"/$ \nये विवरण राजकोषीय लक्ष्य, उनके पीछे की रणनीति तथा वे समष्टि-आर्थिक अनुमान बताते हैं जिन पर बजट आधारित है।\nअतः सही विकल्प (b) है।","pos":2,"neg":0.5},{"id":2191,"n":91,"subject":"General Awareness","stem":"The Competition Act, aimed at promoting fair trade practices in India, was enacted in which year?","stemHi":"भारत में निष्पक्ष व्यापार पद्धतियों को बढ़ावा देने के उद्देश्य से बनाया गया प्रतिस्पर्धा अधिनियम किस वर्ष अधिनियमित किया गया था?","context":null,"contextHi":null,"options":[{"key":"a","text":"2002","textHi":null,"imageUrl":null},{"key":"b","text":"2001","textHi":null,"imageUrl":null},{"key":"c","text":"1999","textHi":null,"imageUrl":null},{"key":"d","text":"2003","textHi":null,"imageUrl":null}],"correct":"a","sol":"Competition Act\nThe Competition Act was enacted in 2002 to keep Indian markets competitive and to protect the interests of consumers.\nIt replaced the Monopolies and Restrictive Trade Practices (MRTP) Act, 1969, whose focus on the size of firms had become outdated after liberalisation.\nThe Act set up the Competition Commission of India (CCI), which curbs anti-competitive agreements, abuse of dominance and harmful combinations.\nHence, option (a) is correct.","solHi":"प्रतिस्पर्धा अधिनियम\nप्रतिस्पर्धा अधिनियम 2002 में अधिनियमित किया गया, ताकि भारतीय बाजारों में प्रतिस्पर्धा बनी रहे तथा उपभोक्ताओं के हितों की रक्षा हो सके।\nइसने एकाधिकार एवं प्रतिबंधात्मक व्यापार व्यवहार (MRTP) अधिनियम, 1969 का स्थान लिया, जिसका फर्मों के आकार पर बल उदारीकरण के बाद अप्रासंगिक हो गया था।\nइस अधिनियम ने भारतीय प्रतिस्पर्धा आयोग (CCI) की स्थापना की, जो प्रतिस्पर्धा-विरोधी करारों, प्रभुत्व के दुरुपयोग तथा हानिकारक संयोजनों पर अंकुश लगाता है।\nअतः सही विकल्प (a) है।","pos":2,"neg":0.5},{"id":2192,"n":92,"subject":"General Awareness","stem":"Which crop is typically grown under dryland farming conditions in India?","stemHi":"भारत में शुष्क भूमि कृषि की परिस्थितियों में सामान्यतः कौन-सी फसल उगाई जाती है?","context":null,"contextHi":null,"options":[{"key":"a","text":"Ragi","textHi":"रागी","imageUrl":null},{"key":"b","text":"Rice","textHi":"चावल","imageUrl":null},{"key":"c","text":"Sugarcane","textHi":"गन्ना","imageUrl":null},{"key":"d","text":"Jute","textHi":"जूट","imageUrl":null}],"correct":"a","sol":"Dryland farming\nDryland farming is practised where annual rainfall is low and uncertain, roughly below 75 cm, and no assured irrigation exists.\nSuch land can carry only hardy, drought-resistant crops, and ragi (finger millet) is a typical example, along with jowar, bajra, gram and pulses.\n $\"figure\"/$ \nRice, sugarcane and jute all need heavy and steady water, so they belong to irrigated or high-rainfall tracts.\nHence, option (a) is correct.","solHi":"शुष्क भूमि कृषि\nशुष्क भूमि कृषि वहाँ की जाती है जहाँ वार्षिक वर्षा कम तथा अनिश्चित होती है, लगभग 75 सेमी से कम, और सिंचाई की निश्चित सुविधा नहीं होती।\nऐसी भूमि पर केवल कठोर, सूखा-रोधी फसलें ही उगाई जा सकती हैं, तथा रागी (मडुआ) इसका विशिष्ट उदाहरण है, साथ ही ज्वार, बाजरा, चना एवं दलहन भी।\n $\"figure\"/$ \nचावल, गन्ना तथा जूट सभी को प्रचुर एवं निरंतर जल चाहिए, अतः ये सिंचित अथवा अधिक वर्षा वाले क्षेत्रों की फसलें हैं।\nअतः सही विकल्प (a) है।","pos":2,"neg":0.5},{"id":2193,"n":93,"subject":"General Awareness","stem":"Over 97% of India's coal reserves are concentrated in which of the following valleys?","stemHi":"भारत के 97% से अधिक कोयला भंडार निम्नलिखित में से किन घाटियों में केंद्रित हैं?","context":null,"contextHi":null,"options":[{"key":"a","text":"Damodar, Sone, Mahanadi, and Godavari","textHi":"दामोदर, सोन, महानदी और गोदावरी","imageUrl":null},{"key":"b","text":"Ganga and Yamuna","textHi":"गंगा और यमुना","imageUrl":null},{"key":"c","text":"Indus, Jhelum, Chenab, and Sutlej","textHi":"सिंधु, झेलम, चिनाब और सतलुज","imageUrl":null},{"key":"d","text":"Narmada and Tapi","textHi":"नर्मदा और ताप्ती","imageUrl":null}],"correct":"a","sol":"Coal reserves of India\nAlmost all of India's coal is Gondwana coal, laid down in ancient river basins of peninsular India.\nOver 97% of the reserves lie in the valleys of the Damodar, Sone, Mahanadi and Godavari rivers.\n $\"figure\"/$ \nThe Ganga-Yamuna plain, the Indus system and the Narmada-Tapi valleys carry no such Gondwana coal measures, so the other options fail.\nHence, option (a) is correct.","solHi":"भारत के कोयला भंडार\nभारत का लगभग समस्त कोयला गोंडवाना कोयला है, जो प्रायद्वीपीय भारत की प्राचीन नदी-द्रोणियों में निक्षेपित हुआ।\n97% से अधिक भंडार दामोदर, सोन, महानदी तथा गोदावरी नदियों की घाटियों में स्थित हैं।\n $\"figure\"/$ \nगंगा-यमुना मैदान, सिंधु नदी तंत्र तथा नर्मदा-तापी घाटियों में इस प्रकार की गोंडवाना कोयला शैलें नहीं हैं, अतः अन्य विकल्प गलत हैं।\nअतः सही विकल्प (a) है।","pos":2,"neg":0.5},{"id":2194,"n":94,"subject":"General Awareness","stem":"According to the Economic Survey 2023-24, by 2030, what percentage of India's population is expected to reside in urban areas?","stemHi":"आर्थिक समीक्षा 2023-24 के अनुसार, 2030 तक भारत की कितने प्रतिशत जनसंख्या के शहरी क्षेत्रों में निवास करने की संभावना है?","context":null,"contextHi":null,"options":[{"key":"a","text":"40%","textHi":null,"imageUrl":null},{"key":"b","text":"80%","textHi":null,"imageUrl":null},{"key":"c","text":"65%","textHi":null,"imageUrl":null},{"key":"d","text":"90%","textHi":null,"imageUrl":null}],"correct":"a","sol":"Urbanisation in India\nThe Economic Survey 2023-24 projects that about 40% of India's population will live in urban areas by 2030.\n $\"figure\"/$ \nThe figure fits the long trend: 17.3% urban in 1951, 27.8% in 2001 and 31.2% in Census 2011.\nA jump to 65% or 80% within a few years would be impossible at the present pace, which rules out the larger options.\nHence, option (a) is correct.","solHi":"भारत में शहरीकरण\nआर्थिक समीक्षा 2023-24 का अनुमान है कि 2030 तक भारत की लगभग 40% जनसंख्या शहरी क्षेत्रों में निवास करेगी।\n $\"figure\"/$ \nयह आँकड़ा दीर्घकालिक प्रवृत्ति के अनुरूप है: 1951 में 17.3%, 2001 में 27.8% तथा जनगणना 2011 में 31.2% शहरी जनसंख्या।\nकुछ ही वर्षों में 65% या 80% तक की छलाँग वर्तमान गति से असंभव है, अतः बड़े मान वाले विकल्प निरस्त हो जाते हैं।\nअतः सही विकल्प (a) है।","pos":2,"neg":0.5},{"id":2195,"n":95,"subject":"General Awareness","stem":"Regarding the Rashtriya Vayoshri Yojana (RVY), which of the following statements is correct?\nI. It is funded through the Senior Citizens' Welfare Fund.\nII. It is a Central Sector Scheme.","stemHi":"राष्ट्रीय वयोश्री योजना (RVY) के संबंध में निम्नलिखित में से कौन-सा कथन सही है?\nI. इसका वित्तपोषण वरिष्ठ नागरिक कल्याण निधि से किया जाता है।\nII. यह एक केंद्रीय क्षेत्र की योजना है।","context":null,"contextHi":null,"options":[{"key":"a","text":"Only I","textHi":"केवल I","imageUrl":null},{"key":"b","text":"Only II","textHi":"केवल II","imageUrl":null},{"key":"c","text":"Both I and II","textHi":"I और II दोनों","imageUrl":null},{"key":"d","text":"Neither I nor II","textHi":"न तो I और न ही II","imageUrl":null}],"correct":"c","sol":"Welfare schemes\nThe Rashtriya Vayoshri Yojana was launched on 1 April 2017 by the Ministry of Social Justice and Empowerment.\nIt gives free assistive aids - walking sticks, hearing aids, spectacles, wheelchairs, artificial dentures - to elderly persons of the BPL and low-income category.\n $\"figure\"/$ \nThe whole cost is met by the Centre from the Senior Citizens' Welfare Fund, which is built from unclaimed amounts lying in small savings and similar accounts, so statement I is correct.\nBecause the Centre bears the entire expenditure with no State share, it is a Central Sector Scheme, so statement II is also correct.\nHence, option (c) is correct.","solHi":"कल्याणकारी योजनाएँ\nराष्ट्रीय वयोश्री योजना 1 अप्रैल 2017 को सामाजिक न्याय एवं अधिकारिता मंत्रालय द्वारा प्रारंभ की गई थी।\nइसमें BPL तथा निम्न आय वर्ग के वृद्धजनों को निःशुल्क सहायक उपकरण - छड़ी, श्रवण यंत्र, चश्मा, पहिया कुर्सी, कृत्रिम दाँत - दिए जाते हैं।\n $\"figure\"/$ \nइसका संपूर्ण व्यय केंद्र सरकार वरिष्ठ नागरिक कल्याण निधि से वहन करती है, जो लघु बचत आदि खातों में पड़ी अदावाकृत राशियों से बनती है, अतः कथन I सही है।\nचूँकि संपूर्ण व्यय केंद्र वहन करता है और राज्यों का कोई अंश नहीं होता, अतः यह एक केंद्रीय क्षेत्र की योजना है, इसलिए कथन II भी सही है।\nअतः सही विकल्प (c) है।","pos":2,"neg":0.5},{"id":2196,"n":96,"subject":"General Awareness","stem":"According to the MOSPI report 2024, by 2036, what percentage of India's total population is expected to be female?","stemHi":"MOSPI रिपोर्ट 2024 के अनुसार, 2036 तक भारत की कुल जनसंख्या का कितने प्रतिशत महिला होने की संभावना है?","context":null,"contextHi":null,"options":[{"key":"a","text":"48.8%","textHi":null,"imageUrl":null},{"key":"b","text":"

49.8 %

","textHi":null,"imageUrl":null},{"key":"c","text":"58.8%","textHi":null,"imageUrl":null},{"key":"d","text":"61.8%","textHi":null,"imageUrl":null}],"correct":"a","sol":"Population projections\nThe report 'Women and Men in India' brought out by the Ministry of Statistics and Programme Implementation (MoSPI) in 2024 carries population projections for 2036.\nIt expects India's population to touch about 152.2 crore by 2036, with women forming 48.8% of it, against 48.5% in 2011.\n $\"figure\"/$ \nThe same projection raises the sex ratio to 952 females per 1,000 males, a slow rise that a share of 58.8% or 61.8% could never match.\nHence, option (a) is correct.","solHi":"जनसंख्या प्रक्षेपण\nसांख्यिकी एवं कार्यक्रम कार्यान्वयन मंत्रालय (MoSPI) द्वारा 2024 में जारी रिपोर्ट 'Women and Men in India' में 2036 के जनसंख्या प्रक्षेपण दिए गए हैं।\nइसके अनुसार 2036 तक भारत की जनसंख्या लगभग 152.2 करोड़ हो जाएगी, जिसमें महिलाओं का अंश 48.8% होगा, जबकि 2011 में यह 48.5% था।\n $\"figure\"/$ \nइसी प्रक्षेपण में लिंगानुपात बढ़कर प्रति 1,000 पुरुषों पर 952 महिलाएँ हो जाता है; यह मंद वृद्धि 58.8% या 61.8% जैसे अंश से कदापि मेल नहीं खाती।\nअतः सही विकल्प (a) है।","pos":2,"neg":0.5},{"id":2197,"n":97,"subject":"General Awareness","stem":"According to Buddha, the primary roots of human suffering are:","stemHi":"बुद्ध के अनुसार, मानव दुःख के प्रमुख मूल कारण हैं:","context":null,"contextHi":null,"options":[{"key":"a","text":"Ignorance and Attachment","textHi":"अज्ञान और आसक्ति","imageUrl":null},{"key":"b","text":"Poverty and Disease","textHi":"निर्धनता और रोग","imageUrl":null},{"key":"c","text":"Violence and Disease","textHi":"हिंसा और रोग","imageUrl":null},{"key":"d","text":"War and Poverty","textHi":"युद्ध और निर्धनता","imageUrl":null}],"correct":"a","sol":"Teachings of Buddha\nThe Second Noble Truth of Buddhism traces suffering (dukkha) to craving or attachment (trishna), which in turn springs from ignorance (avidya) of the true nature of things.\nIgnorance makes a person treat the impermanent as permanent, and attachment binds him to it; together they keep the cycle of rebirth going.\nRemoving them through the Eightfold Path ends suffering and leads to nirvana.\nPoverty, disease, violence and war are outward troubles, not the root causes Buddha identified.\nHence, option (a) is correct.","solHi":"बुद्ध की शिक्षाएँ\nबौद्ध धर्म का द्वितीय आर्य सत्य दुःख का कारण तृष्णा अथवा आसक्ति को बताता है, जो स्वयं वस्तुओं के वास्तविक स्वरूप के प्रति अविद्या (अज्ञान) से उत्पन्न होती है।\nअज्ञान मनुष्य को अनित्य को नित्य मानने पर विवश करता है और आसक्ति उसे उससे बाँध देती है; दोनों मिलकर पुनर्जन्म के चक्र को चलाते रहते हैं।\nअष्टांगिक मार्ग द्वारा इनका नाश करने पर दुःख समाप्त होता है और निर्वाण की प्राप्ति होती है।\nनिर्धनता, रोग, हिंसा तथा युद्ध बाह्य कष्ट हैं, बुद्ध द्वारा बताए गए मूल कारण नहीं।\nअतः सही विकल्प (a) है।","pos":2,"neg":0.5},{"id":2198,"n":98,"subject":"General Awareness","stem":"Who among the following rulers is regarded as the founder of the Nanda Dynasty in ancient India?","stemHi":"प्राचीन भारत में निम्नलिखित में से किस शासक को नंद वंश का संस्थापक माना जाता है?","context":null,"contextHi":null,"options":[{"key":"a","text":"Chanakya","textHi":"चाणक्य","imageUrl":null},{"key":"b","text":"Chandragupta Maurya","textHi":"चंद्रगुप्त मौर्य","imageUrl":null},{"key":"c","text":"Mahapadma Nanda","textHi":"महापद्म नंद","imageUrl":null},{"key":"d","text":"Dhanananda","textHi":"धनानंद","imageUrl":null}],"correct":"c","sol":"Nanda dynasty\nMahapadma Nanda founded the Nanda dynasty of Magadha by overthrowing the last Shishunaga ruler, with Pataliputra as his capital.\nThe Puranas call him Ekarat, the sole sovereign, and Sarva-kshatrantaka, the destroyer of all Kshatriyas, for uprooting the older ruling houses.\nDhanananda, named in another option, was the last Nanda king, defeated by Chandragupta Maurya with the guidance of Chanakya.\nHence, option (c) is correct.","solHi":"नंद वंश\nमहापद्म नंद ने अंतिम शिशुनाग शासक को अपदस्थ कर मगध में नंद वंश की स्थापना की, जिसकी राजधानी पाटलिपुत्र थी।\nपुराणों में उसे 'एकराट' अर्थात् एकमात्र सम्राट तथा 'सर्व-क्षत्रांतक' अर्थात् समस्त क्षत्रियों का नाश करने वाला कहा गया है, क्योंकि उसने पुराने शासक कुलों को समाप्त कर दिया।\nअन्य विकल्प में दिया गया धनानंद नंद वंश का अंतिम शासक था, जिसे चाणक्य के मार्गदर्शन में चंद्रगुप्त मौर्य ने पराजित किया।\nअतः सही विकल्प (c) है।","pos":2,"neg":0.5},{"id":2199,"n":99,"subject":"General Awareness","stem":"The Indus-Sarasvati Civilization is known by several names. Identify the incorrect one.","stemHi":"सिंधु-सरस्वती सभ्यता कई नामों से जानी जाती है। इनमें से गलत नाम की पहचान कीजिए।","context":null,"contextHi":null,"options":[{"key":"a","text":"Indus Civilization","textHi":"सिंधु सभ्यता","imageUrl":null},{"key":"b","text":"Harappan Civilization","textHi":"हड़प्पा सभ्यता","imageUrl":null},{"key":"c","text":"Sindhu-Sarasvati Civilization","textHi":"सिंधु-सरस्वती सभ्यता","imageUrl":null},{"key":"d","text":"Mesopotamian Civilization","textHi":"मेसोपोटामिया सभ्यता","imageUrl":null}],"correct":"d","sol":"Harappan civilisation\nThe question asks for the name that does NOT belong to this civilisation.\nIndus Civilization, Harappan Civilization and Sindhu-Sarasvati Civilization are three names of the same Bronze Age culture of the north-western subcontinent - named after the river, after the first excavated site Harappa, and after the two river systems along which its sites lie.\n $\"figure\"/$ \nThe Mesopotamian Civilization grew in the Tigris-Euphrates basin of West Asia; it traded with the Harappans but was an entirely separate civilisation.\nHence, option (d) is correct.","solHi":"हड़प्पा सभ्यता\nप्रश्न उस नाम को पूछता है जो इस सभ्यता से संबंधित नहीं है।\nसिंधु सभ्यता, हड़प्पा सभ्यता तथा सिंधु-सरस्वती सभ्यता - ये तीनों उत्तर-पश्चिमी उपमहाद्वीप की एक ही कांस्ययुगीन संस्कृति के नाम हैं - क्रमशः नदी के आधार पर, सर्वप्रथम उत्खनित स्थल हड़प्पा के आधार पर तथा उन दो नदी-तंत्रों के आधार पर जिनके किनारे इसके स्थल मिले हैं।\n $\"figure\"/$ \nमेसोपोटामिया सभ्यता पश्चिम एशिया की दजला-फरात द्रोणी में विकसित हुई; इसका हड़प्पावासियों से व्यापार अवश्य था, किंतु यह पूर्णतः पृथक् सभ्यता थी।\nअतः सही विकल्प (d) है।","pos":2,"neg":0.5},{"id":2200,"n":100,"subject":"General Awareness","stem":"During the Gupta age, Bhagvatism emphasizing bhakti and ahimsa was associated with the worship of which god?","stemHi":"गुप्त काल में भक्ति और अहिंसा पर बल देने वाला भागवत धर्म किस देवता की उपासना से संबद्ध था?","context":null,"contextHi":null,"options":[{"key":"a","text":"Vishnu","textHi":"विष्णु","imageUrl":null},{"key":"b","text":"Indra","textHi":"इंद्र","imageUrl":null},{"key":"c","text":"Brahma","textHi":"ब्रह्मा","imageUrl":null},{"key":"d","text":"Kartikeya","textHi":"कार्तिकेय","imageUrl":null}],"correct":"a","sol":"Religion in Gupta age\nBhagvatism grew around the worship of Vasudeva-Krishna, who came to be identified with Vishnu, and it stressed bhakti (loving devotion) and ahimsa in place of costly Vedic sacrifice.\nThe Gupta rulers were themselves Vaishnavas and used the title Parama Bhagavata, which is why the movement flourished in their age; Garuda, the vahana of Vishnu, appears on their coins and seals.\nThe doctrine of the ten avataras of Vishnu also took firm shape in this period.\nIndra, Brahma and Kartikeya were worshipped, but Bhagvatism was never centred on them.\nHence, option (a) is correct.","solHi":"गुप्त काल का धर्म\nभागवत धर्म वासुदेव-कृष्ण की उपासना के चारों ओर विकसित हुआ, जिन्हें आगे चलकर विष्णु से अभिन्न माना गया, और इसमें खर्चीले वैदिक यज्ञ के स्थान पर भक्ति तथा अहिंसा पर बल दिया गया।\nगुप्त शासक स्वयं वैष्णव थे और 'परम भागवत' उपाधि धारण करते थे, इसीलिए यह आंदोलन उनके काल में फला-फूला; उनके सिक्कों तथा मुद्राओं पर विष्णु का वाहन गरुड़ अंकित मिलता है।\nविष्णु के दस अवतारों की अवधारणा ने भी इसी काल में निश्चित रूप ग्रहण किया।\nइंद्र, ब्रह्मा तथा कार्तिकेय की उपासना अवश्य होती थी, किंतु भागवत धर्म कभी उन पर केंद्रित नहीं रहा।\nअतः सही विकल्प (a) है।","pos":2,"neg":0.5}],"test":{"slug":"ssc-chsl-tier-1--19-nov-2025-shift-1","title":"SSC CHSL Tier-1 19 November 2025 Shift-1 Previous Year Paper","examName":"CHSL Tier-1","paperLabel":"19 November 2025 · Shift 1","sectionSubject":null,"durationMinutes":60,"format":"full_test"}}]