28:I[81166,["/_next/static/immutable/chunks/2corl6wyj4669.js","/_next/static/immutable/chunks/38n271cv4vmyv.js","/_next/static/immutable/chunks/2pf73jja2520w.js"],"default"] 29:T420,Indirect to direct speech The reporting verb 'announced' is in the past, so every verb inside the reported clause has already been shifted one step back; turning the sentence into direct speech simply undoes that shift. 'he could paint' comes forward to 'I can paint' and 'if he were given' to 'if I am given', while the third-person 'he' returns to the speaker's own 'I'.

The reporting verb 'announced' is kept, the conjunction 'that' is dropped, a comma is placed after the reporting verb and the words go inside double inverted commas. (b) keeps 'He' inside the speaker's own words, (c) leaves the backshifted 'could' and 'were' untouched, and (d) mixes the present 'can' with the backshifted 'were given'. Hence the correct option is (a).2a:T661,Directions (Qs. 16-20): Read the following passage carefully and answer the questions that follow. In an era where urban dwellers frequently lament their scarcity of time, cultivating plants that demand minimal supervision has become almost axiomatic for those seeking verdant comfort within their homes. Certain species, endowed with remarkable resilience, can subsist with negligible intervention, thereby mitigating the anxieties often associated with horticulture. The snake plant (Sansevieria trifasciata), for instance, is virtually indomitable. It thrives in varied light conditions and can endure erratic watering schedules without forfeiting its structural elegance. Likewise, the pothos (Epipremnum aureum), with its lush, trailing foliage, adapts to both dimly lit corners and well-illuminated spaces, performing photosynthesis with an almost stoic persistence. Another exemplar is the aloe vera, whose succulent leaves serve as reservoirs of moisture, rendering frequent irrigation superfluous. Beyond its ornamental utility, aloe vera confers medicinal benefits, as its gel is esteemed for dermal amelioration. Even the ZZ plant (Zamioculcas zamiifolia), seemingly sculpted from emerald wax, flourishes in neglect, tolerating prolonged droughts and low luminosity without capitulating to decay. The allure of such flora lies not merely in their aesthetic contribution but in their implicit lesson: resilience is as captivating as fragility. In cultivating them, one engages in a quiet partnership where human oversight is ancillary, and nature's intrinsic mechanisms orchestrate survival with effortless grace.2b:T661,Directions (Qs. 16-20): Read the following passage carefully and answer the questions that follow. In an era where urban dwellers frequently lament their scarcity of time, cultivating plants that demand minimal supervision has become almost axiomatic for those seeking verdant comfort within their homes. Certain species, endowed with remarkable resilience, can subsist with negligible intervention, thereby mitigating the anxieties often associated with horticulture. The snake plant (Sansevieria trifasciata), for instance, is virtually indomitable. It thrives in varied light conditions and can endure erratic watering schedules without forfeiting its structural elegance. Likewise, the pothos (Epipremnum aureum), with its lush, trailing foliage, adapts to both dimly lit corners and well-illuminated spaces, performing photosynthesis with an almost stoic persistence. Another exemplar is the aloe vera, whose succulent leaves serve as reservoirs of moisture, rendering frequent irrigation superfluous. Beyond its ornamental utility, aloe vera confers medicinal benefits, as its gel is esteemed for dermal amelioration. Even the ZZ plant (Zamioculcas zamiifolia), seemingly sculpted from emerald wax, flourishes in neglect, tolerating prolonged droughts and low luminosity without capitulating to decay. The allure of such flora lies not merely in their aesthetic contribution but in their implicit lesson: resilience is as captivating as fragility. In cultivating them, one engages in a quiet partnership where human oversight is ancillary, and nature's intrinsic mechanisms orchestrate survival with effortless grace.2c:T661,Directions (Qs. 16-20): Read the following passage carefully and answer the questions that follow. In an era where urban dwellers frequently lament their scarcity of time, cultivating plants that demand minimal supervision has become almost axiomatic for those seeking verdant comfort within their homes. Certain species, endowed with remarkable resilience, can subsist with negligible intervention, thereby mitigating the anxieties often associated with horticulture. The snake plant (Sansevieria trifasciata), for instance, is virtually indomitable. It thrives in varied light conditions and can endure erratic watering schedules without forfeiting its structural elegance. Likewise, the pothos (Epipremnum aureum), with its lush, trailing foliage, adapts to both dimly lit corners and well-illuminated spaces, performing photosynthesis with an almost stoic persistence. Another exemplar is the aloe vera, whose succulent leaves serve as reservoirs of moisture, rendering frequent irrigation superfluous. Beyond its ornamental utility, aloe vera confers medicinal benefits, as its gel is esteemed for dermal amelioration. Even the ZZ plant (Zamioculcas zamiifolia), seemingly sculpted from emerald wax, flourishes in neglect, tolerating prolonged droughts and low luminosity without capitulating to decay. The allure of such flora lies not merely in their aesthetic contribution but in their implicit lesson: resilience is as captivating as fragility. In cultivating them, one engages in a quiet partnership where human oversight is ancillary, and nature's intrinsic mechanisms orchestrate survival with effortless grace.2d:T661,Directions (Qs. 16-20): Read the following passage carefully and answer the questions that follow. In an era where urban dwellers frequently lament their scarcity of time, cultivating plants that demand minimal supervision has become almost axiomatic for those seeking verdant comfort within their homes. Certain species, endowed with remarkable resilience, can subsist with negligible intervention, thereby mitigating the anxieties often associated with horticulture. The snake plant (Sansevieria trifasciata), for instance, is virtually indomitable. It thrives in varied light conditions and can endure erratic watering schedules without forfeiting its structural elegance. Likewise, the pothos (Epipremnum aureum), with its lush, trailing foliage, adapts to both dimly lit corners and well-illuminated spaces, performing photosynthesis with an almost stoic persistence. Another exemplar is the aloe vera, whose succulent leaves serve as reservoirs of moisture, rendering frequent irrigation superfluous. Beyond its ornamental utility, aloe vera confers medicinal benefits, as its gel is esteemed for dermal amelioration. Even the ZZ plant (Zamioculcas zamiifolia), seemingly sculpted from emerald wax, flourishes in neglect, tolerating prolonged droughts and low luminosity without capitulating to decay. The allure of such flora lies not merely in their aesthetic contribution but in their implicit lesson: resilience is as captivating as fragility. In cultivating them, one engages in a quiet partnership where human oversight is ancillary, and nature's intrinsic mechanisms orchestrate survival with effortless grace.2e:T661,Directions (Qs. 16-20): Read the following passage carefully and answer the questions that follow. In an era where urban dwellers frequently lament their scarcity of time, cultivating plants that demand minimal supervision has become almost axiomatic for those seeking verdant comfort within their homes. Certain species, endowed with remarkable resilience, can subsist with negligible intervention, thereby mitigating the anxieties often associated with horticulture. The snake plant (Sansevieria trifasciata), for instance, is virtually indomitable. It thrives in varied light conditions and can endure erratic watering schedules without forfeiting its structural elegance. Likewise, the pothos (Epipremnum aureum), with its lush, trailing foliage, adapts to both dimly lit corners and well-illuminated spaces, performing photosynthesis with an almost stoic persistence. Another exemplar is the aloe vera, whose succulent leaves serve as reservoirs of moisture, rendering frequent irrigation superfluous. Beyond its ornamental utility, aloe vera confers medicinal benefits, as its gel is esteemed for dermal amelioration. Even the ZZ plant (Zamioculcas zamiifolia), seemingly sculpted from emerald wax, flourishes in neglect, tolerating prolonged droughts and low luminosity without capitulating to decay. The allure of such flora lies not merely in their aesthetic contribution but in their implicit lesson: resilience is as captivating as fragility. In cultivating them, one engages in a quiet partnership where human oversight is ancillary, and nature's intrinsic mechanisms orchestrate survival with effortless grace.2f:T438,Symbol-coded equation Read '#' as the minus sign and '~' as the division sign, and check the rule on the two given equations.

940 - 169 \div 13 = 940 - 13 = 927

, which is the value given.

625 - 289 \div 17 = 625 - 17 = 608

, which is again the value given.

Apply the same rule to the third expression:

755 - 252 \div 18 = 755 - 14 = 741

. Hence option (a) is correct.30:T569,चिह्न-कूट समीकरण '#' को घटाव का चिह्न तथा '~' को भाग का चिह्न मानिए और दिए गए दोनों समीकरणों पर इस नियम की जाँच कीजिए।

940 - 169 \div 13 = 940 - 13 = 927

, जो दिया गया मान ही है।

625 - 289 \div 17 = 625 - 17 = 608

, जो पुनः दिया गया मान ही है।

यही नियम तीसरे व्यंजक पर लगाइए:

755 - 252 \div 18 = 755 - 14 = 741

। इसलिए सही विकल्प (a) है।31:T81a,Odd number pair Compare each number with the squares of the natural numbers.

8 = 3^{2} - 1

and

15 = 4^{2} - 1

;

24 = 5^{2} - 1

and

35 = 6^{2} - 1

;

48 = 7^{2} - 1

and

63 = 8^{2} - 1

. So in three of the pairs both numbers are one less than a perfect square, and the two squares are consecutive.

In 36 : 48 the second number does fit, since

48 = 7^{2} - 1

, but the first does not: 36 is itself a perfect square, and one less than a square would be

6^{2} - 1 = 35

. This pair alone breaks the rule, so option (d) is correct.32:Ta64,असंगत संख्या-युग्म प्रत्येक संख्या की तुलना प्राकृत संख्याओं के वर्गों से कीजिए।

8 = 3^{2} - 1

तथा

15 = 4^{2} - 1

;

24 = 5^{2} - 1

तथा

35 = 6^{2} - 1

;

48 = 7^{2} - 1

तथा

63 = 8^{2} - 1

। अतः तीन युग्मों में दोनों संख्याएँ किसी पूर्ण वर्ग से एक कम हैं और वे दोनों वर्ग क्रमागत हैं।

36 : 48 में दूसरी संख्या तो नियम पर खरी उतरती है, क्योंकि

48 = 7^{2} - 1

है, किंतु पहली नहीं: 36 स्वयं एक पूर्ण वर्ग है, जबकि वर्ग से एक कम संख्या

6^{2} - 1 = 35

होती। केवल यही युग्म नियम का पालन नहीं करता, इसलिए सही विकल्प (d) है।33:T9c9,Counting triangles Name the figure first: ABCD is the rectangle, EF its horizontal mid-line, O the centre, T the top vertex, P and Q the mid-points of AB and DC, while TE and TF cut AB at G and H.

Triangles having T as a vertex:

△ T G H

△ T E F

△ T P G

△ T P H

△ T O E

△ T O F

△ T E Q

△ T F Q

- 8 in all. Triangles lying between AB and EF:

△ A G E

and

△ B H F

- 2 more. Triangles lying below EF:

△ E O Q

△ O F Q

△ E F Q

△ E D Q

△ F C Q

- 5 more. Total number of triangles =8+2+5=15. Hence the correct option is (b).34:Tba6,त्रिभुजों की गणना पहले आकृति के बिंदुओं के नाम रखिए: ABCD आयत है, EF इसकी क्षैतिज मध्य-रेखा है, O केंद्र है, T ऊपरी शीर्ष है, P और Q क्रमशः AB तथा DC के मध्य-बिंदु हैं तथा TE और TF, AB को G और H पर काटती हैं।

जिन त्रिभुजों का एक शीर्ष T है:

△ T G H

△ T E F

△ T P G

△ T P H

△ T O E

△ T O F

△ T E Q

△ T F Q

- कुल 8। AB तथा EF के बीच स्थित त्रिभुज:

△ A G E

और

△ B H F

- 2 और। EF के नीचे स्थित त्रिभुज:

△ E O Q

△ O F Q

△ E F Q

△ E D Q

△ F C Q

- 5 और। त्रिभुजों की कुल संख्या =8+2+5=15। इसलिए सही विकल्प (b) है।35:T43d,Linear seating Number the seats 1 to 8 from the left end of the row and let D sit at seat d. D is fifth to the left of E, so E=d+5; A is immediately to the right of E, so A=d+6. A is fifth to the right of F, so F=A-5=d+1; H is third to the right of D, so H=d+3.

A = d + 6 \leq 8

gives

d \leq 2

; if d=2 then A=8 and the only neighbour seat for G would be 7, which E already occupies, so d=1. Therefore D is at 1, F at 2, H at 4, E at 6, A at 7, and G - the neighbour of A - takes seat 8. Exactly two friends sit between B and G, so B is at seat 5, and C fills the only vacant seat, 3.

The two end seats, 1 and 8, are occupied by D and G. Hence the correct option is (b).36:T78a,रैखिक बैठक व्यवस्था पंक्ति के बाएँ सिरे से सीटों को 1 से 8 तक क्रमांक दीजिए और माना कि D सीट d पर बैठा है। D, E के बाईं ओर पाँचवें स्थान पर है, अतः E=d+5; A, E के ठीक दाईं ओर है, अतः A=d+6। A, F के दाईं ओर पाँचवें स्थान पर है, अतः F=A-5=d+1; H, D के दाईं ओर तीसरे स्थान पर है, अतः H=d+3।

A = d + 6 \leq 8

से

d \leq 2

प्राप्त होता है; यदि d=2 हो तो A=8 होगा और G के लिए पड़ोसी सीट केवल 7 बचेगी, जिस पर E पहले से है, अतः d=1। इसलिए D सीट 1 पर, F सीट 2 पर, H सीट 4 पर, E सीट 6 पर, A सीट 7 पर है और A का पड़ोसी G सीट 8 पर बैठता है। B और G के बीच ठीक दो मित्र बैठे हैं, अतः B सीट 5 पर है और शेष रिक्त सीट 3 पर C बैठता है।

दोनों सिरों की सीटें 1 और 8 क्रमशः D तथा G के पास हैं। इसलिए सही विकल्प (b) है।37:T698,दिशा-ज्ञान वह पहले दक्षिण की ओर चल रहा है, अतः बाएँ मुड़ने पर वह पूर्व की ओर हो जाता है; पूर्व की ओर चलने के बाद दूसरी बार बाएँ मुड़ने पर वह उत्तर की ओर हो जाता है।

प्रारंभिक बिंदु को मूल बिंदु मानिए: X उससे 10 km दक्षिण में है, Y, X से 12 km पूर्व में है और Z, Y से 5 km उत्तर में है। अतः Z, X से 12 km पूर्व तथा 5 km उत्तर में है, और ये दोनों दूरियाँ परस्पर लंबवत हैं।

X Z = \sqrt{12^{2} + 5^{2}} = \sqrt{144 + 25} = \sqrt{169} = 13

km। उसकी अंतिम चाल उत्तर दिशा में थी, अतः M अब उत्तर की ओर मुख किए हुए है। इसलिए सही विकल्प (a) है।38:T4cd,Completing the pattern In the question figure a regular octagon is drawn about the centre of the square and a spoke joins the centre to every vertex of the octagon. Besides these, the top vertex of the octagon is joined to the mid-point of each of the two upper slanting spokes, and the bottom vertex to the mid-point of each of the two lower slanting spokes. So the missing bottom-right quadrant must carry four things: the two octagon sides meeting at the lower-right vertex, the spoke from the centre to that vertex, and the line from the bottom vertex to the mid-point of that spoke.

Option (a) has exactly these four: its long line starts at the corner that is the centre of the pattern, one side ends on the horizontal mid-line and the other on the vertical line, and the short line meets the long one at its mid-point. In (b) the piece is the mirror image of what is needed, in (c) the long line does not begin at the corner, and in (d) the octagon side runs into the corner of the square instead of stopping on the mid-line. Hence the correct option is (a).39:Ta40,आकृति प्रतिरूप पूर्ण करना प्रश्न आकृति में वर्ग के केंद्र के चारों ओर एक सम अष्टभुज बना है और केंद्र से अष्टभुज के प्रत्येक शीर्ष तक एक-एक रेखा (त्रिज्या) खिंची है। इनके अतिरिक्त अष्टभुज के ऊपरी शीर्ष को दोनों ऊपरी तिरछी त्रिज्याओं के मध्य-बिंदुओं से तथा निचले शीर्ष को दोनों निचली तिरछी त्रिज्याओं के मध्य-बिंदुओं से जोड़ा गया है। अतः लुप्त निचले-दाएँ चतुर्थांश में चार बातें होनी चाहिए: निचले-दाएँ शीर्ष पर मिलने वाली अष्टभुज की दो भुजाएँ, केंद्र से उस शीर्ष तक की त्रिज्या, तथा निचले शीर्ष से उस त्रिज्या के मध्य-बिंदु तक जाने वाली रेखा।

विकल्प (a) में ठीक यही चारों हैं: इसकी लंबी रेखा उसी कोने से आरंभ होती है जो प्रतिरूप का केंद्र है, एक भुजा क्षैतिज मध्य-रेखा पर और दूसरी ऊर्ध्वाधर रेखा पर समाप्त होती है, तथा छोटी रेखा लंबी रेखा से उसके मध्य-बिंदु पर मिलती है। विकल्प (b) में यह टुकड़ा दर्पण-प्रतिबिंब है, (c) में लंबी रेखा कोने से आरंभ नहीं होती और (d) में अष्टभुज की भुजा मध्य-रेखा पर रुकने के बजाय वर्ग के कोने तक चली जाती है। इसलिए सही विकल्प (a) है।3a:T53e,Interchanging numbers Interchanging the numbers 4 and 8 means every 4 in the equation becomes 8 and every 8 becomes 4. I.

3 \times 8 + 4 - 10 \div 2 = 15

turns into

3 \times 4 + 8 - 10 \div 2

. By BODMAS, =12+8-5=15, which is exactly the right-hand side, so I becomes correct. II.

4 \div 2 + 8 \times 5 - 6 = 18

turns into

8 \div 2 + 4 \times 5 - 6

. By BODMAS, =4+20-6=18, which is exactly the right-hand side, so II becomes correct as well.

Both equations therefore hold after the interchange. Hence the correct option is (c).3b:T74f,संख्याओं का परस्पर बदलना संख्याओं 4 और 8 को आपस में बदलने का अर्थ है कि समीकरण की प्रत्येक 4 अब 8 हो जाएगी और प्रत्येक 8 अब 4। I.

3 \times 8 + 4 - 10 \div 2 = 15

बदलकर

3 \times 4 + 8 - 10 \div 2

हो जाता है। BODMAS से =12+8-5=15, जो ठीक दाईं ओर के मान के बराबर है, अतः I सही हो जाता है। II.

4 \div 2 + 8 \times 5 - 6 = 18

बदलकर

8 \div 2 + 4 \times 5 - 6

हो जाता है। BODMAS से =4+20-6=18, जो ठीक दाईं ओर के मान के बराबर है, अतः II भी सही हो जाता है।

इस प्रकार बदलने के बाद दोनों समीकरण सही हो जाते हैं। इसलिए सही विकल्प (c) है।3c:T4cc,Square root 53824 ends in 4, so its square root must end in 2 or 8.

230^{2} = 52900

and

240^{2} = 57600

, so the root lies between 230 and 240. The only options in that range ending in 2 or 8 are 232 and 238, so test 232.

232^{2} = {(230 + 2)}^{2} = 230^{2} + 2 \times 230 \times 2 + 2^{2}

=52900+920+4=53824 So

\sqrt{53824} = 232

. Hence the correct option is (b).3d:T5f7,वर्गमूल 53824 के अंत में 4 है, अतः इसके वर्गमूल के अंत में 2 या 8 होगा।

230^{2} = 52900

तथा

240^{2} = 57600

, अतः वर्गमूल 230 और 240 के बीच है। इस परास में 2 या 8 पर समाप्त होने वाले विकल्प केवल 232 और 238 हैं, अतः 232 की जाँच कीजिए।

232^{2} = {(230 + 2)}^{2} = 230^{2} + 2 \times 230 \times 2 + 2^{2}

=52900+920+4=53824 अतः

\sqrt{53824} = 232

। इसलिए सही विकल्प (b) है।3e:T45b,Simplification Take out each square root first:

\sqrt{441} = 21

\sqrt{225} = 15

and

\sqrt{64} = 8

(\frac{168}{21}) \times (\frac{15}{5}) \times (\frac{8}{4})

= 8 \times 3 \times 2

=48 Hence the correct option is (b).3f:T4b6,सरलीकरण पहले प्रत्येक वर्गमूल निकालिए:

\sqrt{441} = 21

\sqrt{225} = 15

तथा

\sqrt{64} = 8

।

(\frac{168}{21}) \times (\frac{15}{5}) \times (\frac{8}{4})

= 8 \times 3 \times 2

=48 इसलिए सही विकल्प (b) है।40:T42c,Successive percentage change Take the number as 100. After a 50% increase it becomes 100+50=150. The 40% decrease is now taken on 150:

150 - \frac{40}{100} \times 150 = 150 - 60 = 90

Net change =90-100=-10 on 100, i.e. a decrease of 10%. Shortcut: net change

= a + b + \frac{a b}{100} = 50 - 40 - \frac{50 \times 40}{100} = - 10 %

. Hence the correct option is (b).41:T530,क्रमिक प्रतिशत परिवर्तन माना कि संख्या 100 है। 50% वृद्धि के बाद यह 100+50=150 हो जाती है। अब 40% की कमी 150 पर ली जाएगी:

150 - \frac{40}{100} \times 150 = 150 - 60 = 90

।

शुद्ध परिवर्तन =90-100=-10 (100 पर), अर्थात् 10% की कमी। सूत्र: शुद्ध परिवर्तन

= a + b + \frac{a b}{100} = 50 - 40 - \frac{50 \times 40}{100} = - 10 %

। इसलिए सही विकल्प (b) है।42:T69a,Regular polygon — sides At every vertex of a polygon the interior angle and the exterior angle form a straight line. Exterior angle

= 180^{\circ} - 144^{\circ} = 36^{\circ}

The exterior angles of any polygon add up to

360^{\circ}

, so the number of sides is

n = \frac{360^{\circ}}{36^{\circ}} = 10

. Check with the direct formula:

\frac{(n - 2) \times 180^{\circ}}{n} = \frac{8 \times 180^{\circ}}{10} = 144^{\circ}

Hence option (a) is correct.43:T7c2,सम बहुभुज — भुजाएँ बहुभुज के प्रत्येक शीर्ष पर अंतःकोण और बाह्य कोण मिलकर एक सरल रेखा बनाते हैं। बाह्य कोण

= 180^{\circ} - 144^{\circ} = 36^{\circ}

किसी भी बहुभुज के बाह्य कोणों का योग

360^{\circ}

होता है, अतः भुजाओं की संख्या

n = \frac{360^{\circ}}{36^{\circ}} = 10

है। सीधे सूत्र से जाँच:

\frac{(n - 2) \times 180^{\circ}}{n} = \frac{8 \times 180^{\circ}}{10} = 144^{\circ}

अतः सही विकल्प (a) है।44:T5a6,Trigonometric ratio The vertical height 8 is the side opposite

θ

and 17 is the hypotenuse, so the third side is the base. Base

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

Formula:

\tan θ = \frac{P}{B}

, where P is the side opposite the angle and B is the base.

\tan θ = \frac{8}{15}

θ

lies in the first quadrant, where every trigonometric ratio is positive, so no sign change is needed. Hence option (b) is correct.45:T73f,त्रिकोणमितीय अनुपात ऊर्ध्वाधर ऊँचाई 8,

θ

के सम्मुख भुजा है तथा 17 कर्ण है, अतः तीसरी भुजा आधार होगी। आधार

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

सूत्र:

\tan θ = \frac{P}{B}

, जहाँ P कोण के सम्मुख भुजा तथा B आधार है।

\tan θ = \frac{8}{15}

θ

प्रथम चतुर्थांश में है, जहाँ प्रत्येक त्रिकोणमितीय अनुपात धनात्मक होता है, अतः चिह्न में कोई परिवर्तन नहीं होगा। अतः सही विकल्प (b) है।46:T597,Average of odd numbers The first 25 odd numbers are

1, 3, 5, \dots, 49

, which form an AP with first term 1 and common difference 2. The sum of the first n odd numbers is

n^{2}

, so the sum here is

25^{2} = 625

. Average

= \frac{625}{25} = 25

So the average of the first n odd numbers is always n itself; the same value also comes from

\frac{first + last}{2} = \frac{1 + 49}{2} = 25

. Hence option (b) is correct.47:T720,विषम संख्याओं का औसत प्रथम 25 विषम संख्याएँ

1, 3, 5, \dots, 49

हैं, जो प्रथम पद 1 तथा सार्व अंतर 2 वाली समांतर श्रेढ़ी बनाती हैं। प्रथम n विषम संख्याओं का योग

n^{2}

होता है, अतः यहाँ योग

25^{2} = 625

है। औसत

= \frac{625}{25} = 25

अर्थात् प्रथम n विषम संख्याओं का औसत सदैव n ही होता है; यही मान

\frac{first + last}{2} = \frac{1 + 49}{2} = 25

से भी प्राप्त होता है। अतः सही विकल्प (b) है।48:Tb04,Indices and surds Write every base as a power of 2. First factor of the numerator:

64^{\frac{5}{6}} = {(2^{6})}^{\frac{5}{6}} = 2^{5} = 32

Second factor:

{(\frac{1}{32})}^{- \frac{4}{5}} = 32^{\frac{4}{5}} = {(2^{5})}^{\frac{4}{5}} = 2^{4} = 16

Numerator

= 32 \times 16 = 512

For the denominator use the identity

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

with

a = \sqrt{18}

and

b = \sqrt{2}

. Denominator

= 4 \sqrt{18} \times \sqrt{2} = 4 \sqrt{36} = 4 \times 6 = 24

Value

= \frac{512}{24} = \frac{64}{3}

Hence option (c) is correct.49:Tc11,घातांक तथा करणी प्रत्येक आधार को 2 की घात के रूप में लिखिए। अंश का पहला गुणनखंड:

64^{\frac{5}{6}} = {(2^{6})}^{\frac{5}{6}} = 2^{5} = 32

दूसरा गुणनखंड:

{(\frac{1}{32})}^{- \frac{4}{5}} = 32^{\frac{4}{5}} = {(2^{5})}^{\frac{4}{5}} = 2^{4} = 16

अंश

= 32 \times 16 = 512

हर के लिए सर्वसमिका

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

का प्रयोग कीजिए, जहाँ

a = \sqrt{18}

तथा

b = \sqrt{2}

है। हर

= 4 \sqrt{18} \times \sqrt{2} = 4 \sqrt{36} = 4 \times 6 = 24

अभीष्ट मान

= \frac{512}{24} = \frac{64}{3}

अतः सही विकल्प (c) है।4a:T4a5,Tangent and secant The radius drawn to the point of contact is perpendicular to the tangent, so

△ O T P

is right-angled at T.

O P = \sqrt{O T^{2} + P T^{2}} = \sqrt{5^{2} + 12^{2}} = \sqrt{25 + 144} = \sqrt{169} = 13

The secant passes through the centre, so B, the nearer point of the circle, lies on OP at a distance of one radius from O. PB=OP-OB=13-5=8 PB is 8 cm, so option (d) is correct.4b:T5fd,स्पर्श रेखा तथा छेदक स्पर्श बिंदु पर खींची गई त्रिज्या स्पर्श रेखा पर लंब होती है, अतः

△ O T P

में T पर समकोण है।

O P = \sqrt{O T^{2} + P T^{2}} = \sqrt{5^{2} + 12^{2}} = \sqrt{25 + 144} = \sqrt{169} = 13

छेदक रेखा केंद्र से होकर जाती है, अतः वृत्त का निकटतम बिंदु B, OP पर O से एक त्रिज्या की दूरी पर स्थित है। PB=OP-OB=13-5=8 PB की लंबाई 8 cm है, अतः सही विकल्प (d) है।4c:T76e,Centroid of a triangle The centroid divides each median in the ratio 2:1, and its coordinates are simply the averages of the coordinates of the three vertices. Formula:

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

Only the y-coordinate is asked, so use

y_{1} = 5

y_{2} = 9

and

y_{3} = 7

y_{G} = \frac{5 + 9 + 7}{3} = \frac{21}{3} = 7

Hence option (c) is correct.4d:T8d2,त्रिभुज का केंद्रक केंद्रक प्रत्येक माध्यिका को 2:1 के अनुपात में विभाजित करता है, तथा उसके निर्देशांक तीनों शीर्षों के निर्देशांकों के औसत ही होते हैं। सूत्र:

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

यहाँ केवल y-निर्देशांक पूछा गया है, अतः

y_{1} = 5

y_{2} = 9

तथा

y_{3} = 7

लीजिए।

y_{G} = \frac{5 + 9 + 7}{3} = \frac{21}{3} = 7

अतः सही विकल्प (c) है।4e:T485,Angle bisector theorem Angle bisector theorem: the bisector of an angle of a triangle divides the opposite side in the ratio of the two sides containing that angle.

\frac{B D}{D C} = \frac{A B}{A C} = \frac{10}{15} = \frac{2}{3}

So BC is split into 2+3=5 equal parts, of which BD takes 2 parts.

B D = \frac{2}{5} \times B C = \frac{2}{5} \times 20 = 8

BD is 8 cm, so option (c) is correct.4f:T631,कोण समद्विभाजक प्रमेय कोण समद्विभाजक प्रमेय: त्रिभुज के किसी कोण का समद्विभाजक सम्मुख भुजा को उस कोण को बनाने वाली दोनों भुजाओं के अनुपात में विभाजित करता है।

\frac{B D}{D C} = \frac{A B}{A C} = \frac{10}{15} = \frac{2}{3}

अतः BC कुल 2+3=5 बराबर भागों में बँटती है, जिनमें से BD के भाग में 2 भाग आते हैं।

B D = \frac{2}{5} \times B C = \frac{2}{5} \times 20 = 8

BD की लंबाई 8 cm है, अतः सही विकल्प (c) है।50:T435,Common tangents — touching The number of common tangents is decided by comparing the distance between the centres with the sum and the difference of the radii.

r_{1} + r_{2} = 7 + 4 = 11

and d=11, so

d = r_{1} + r_{2}

The circles therefore touch each other externally at exactly one point. Externally touching circles have 2 direct common tangents plus 1 transverse tangent drawn at the point of contact. Total =2+1=3, so option (c) is correct.51:T6b9,उभयनिष्ठ स्पर्श रेखाएँ — स्पर्शी वृत्त उभयनिष्ठ स्पर्श रेखाओं की संख्या केंद्रों के बीच की दूरी की, त्रिज्याओं के योग तथा अंतर से तुलना करके तय होती है।

r_{1} + r_{2} = 7 + 4 = 11

तथा d=11 है, अतः

d = r_{1} + r_{2}

है।

इसलिए दोनों वृत्त ठीक एक बिंदु पर बाह्य रूप से एक-दूसरे को स्पर्श करते हैं। बाह्य रूप से स्पर्श करने वाले वृत्तों की 2 सीधी उभयनिष्ठ स्पर्श रेखाएँ तथा स्पर्श बिंदु पर खींची गई 1 तिर्यक स्पर्श रेखा होती है। कुल =2+1=3, अतः सही विकल्प (c) है।52:T60c,उभयनिष्ठ स्पर्श रेखाएँ — पृथक वृत्त केंद्रों के बीच की दूरी की तुलना त्रिज्याओं के योग से कीजिए।

r_{1} + r_{2} = 5 + 3 = 8

है जबकि d=10 है, अतः

d > r_{1} + r_{2}

है।

अतः दोनों वृत्त पूर्णतः एक-दूसरे के बाहर हैं और न तो काटते हैं और न स्पर्श करते हैं। ऐसे वृत्तों की 2 सीधी (बाह्य) उभयनिष्ठ स्पर्श रेखाएँ तथा 2 तिर्यक (आंतरिक) उभयनिष्ठ स्पर्श रेखाएँ होती हैं। कुल =2+2=4, अतः सही विकल्प (a) है।53:T61a,Direct common tangent Formula: length of the direct common tangent

L = \sqrt{d^{2} - {(r_{1} - r_{2})}^{2}}

, where d is the distance between the centres.

12 = \sqrt{d^{2} - {(8 - 3)}^{2}}

Squaring both sides:

144 = d^{2} - 25

d^{2} = 144 + 25 = 169 \Rightarrow d = 13

The centres are 13 cm apart, so option (b) is correct.54:T736,सीधी उभयनिष्ठ स्पर्श रेखा सूत्र: सीधी उभयनिष्ठ स्पर्श रेखा की लंबाई

L = \sqrt{d^{2} - {(r_{1} - r_{2})}^{2}}

, जहाँ d केंद्रों के बीच की दूरी है।

12 = \sqrt{d^{2} - {(8 - 3)}^{2}}

दोनों पक्षों का वर्ग करने पर:

144 = d^{2} - 25

d^{2} = 144 + 25 = 169 \Rightarrow d = 13

केंद्रों के बीच की दूरी 13 cm है, अतः सही विकल्प (b) है।55:T4c3,Geostationary satellite speed A geostationary satellite moves in a circular orbit right above the equator at a height of about 35786 km, so its orbital radius is

r = 35786 + 6378 \approx 42164

km. To hang over the same point of the ground it must take exactly one day for one revolution, that is

T \approx 86400

Orbital speed

v = \frac{2 π r}{T} = \frac{2 \times 3.14 \times 42164}{86400} \approx 3.07

km/s. So the speed is nearly 3 km per second, which is far slower than the 8 km/s of a low-earth-orbit satellite. Hence option (b) is correct.56:T6d3,भूस्थिर उपग्रह की चाल भूस्थिर उपग्रह भूमध्य रेखा के ठीक ऊपर लगभग 35786 km की ऊँचाई पर वृत्ताकार कक्षा में घूमता है, अतः इसकी कक्षीय त्रिज्या

r = 35786 + 6378 \approx 42164

km है। पृथ्वी के एक ही बिंदु के ऊपर स्थिर दिखने के लिए इसे एक परिक्रमा में ठीक एक दिन लगना चाहिए, अर्थात्

T \approx 86400

s।

कक्षीय चाल

v = \frac{2 π r}{T} = \frac{2 \times 3.14 \times 42164}{86400} \approx 3.07

km/s। इस प्रकार चाल लगभग 3 किमी प्रति सेकंड है, जो निम्न भू-कक्षा के उपग्रह की 8 km/s चाल से बहुत कम है। अतः सही विकल्प (b) है।57:T4f4,Balanced and unbalanced forces By Newton's second law the acceleration of a body depends on the net (resultant) force acting on it:

a = \frac{F_{n e t}}{m}

Statement I: when the forces are unbalanced,

F_{n e t} \neq 0

, so the body accelerates and its speed or its direction of motion changes — correct. Statement II: for balanced forces

F_{n e t} = 0

, hence a=0; the body stays at rest or keeps moving with the same velocity, so balanced forces cannot produce acceleration — incorrect. Only statement I is right, so option (a) is correct.58:T77f,संतुलित एवं असंतुलित बल न्यूटन के द्वितीय नियम के अनुसार किसी पिंड का त्वरण उस पर लगने वाले परिणामी बल पर निर्भर करता है:

a = \frac{F_{n e t}}{m}

।

कथन I: जब बल असंतुलित होते हैं तो

F_{n e t} \neq 0

होता है, अतः पिंड में त्वरण उत्पन्न होता है और उसकी चाल अथवा गति की दिशा बदल जाती है — सही। कथन II: संतुलित बलों की स्थिति में

F_{n e t} = 0

होता है, अतः a=0; पिंड या तो विरामावस्था में रहता है या समान वेग से चलता रहता है, इसलिए संतुलित बल त्वरण उत्पन्न नहीं कर सकते — गलत। केवल कथन I सही है, अतः सही विकल्प (a) है।1e:["$","$L28",null,{"mode":"practice","dropped":1,"bilingual":true,"choiceSubjects":[],"questions":[{"id":11701,"n":1,"subject":"English Language","stem":"Identify the incorrect sentence.","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"Beautiful funitures made this penthouse elegant.","textHi":null,"imageUrl":null},{"key":"b","text":"How much sugar do you take?","textHi":null,"imageUrl":null},{"key":"c","text":"Please hurry. It's getting late.","textHi":null,"imageUrl":null},{"key":"d","text":"He is a very good friend of mine.","textHi":null,"imageUrl":null}],"correct":"a","sol":"Uncountable noun\n'Furniture' is an uncountable (mass) noun in English: it has no plural form and never takes -s, however many pieces are meant.\nOption (a) writes 'funitures', so the sentence is ungrammatical; the correct form is 'Beautiful furniture made this penthouse elegant.'\n $\"figure\"/$ \nThe other three sentences are sound - 'much' is the right quantifier with the uncountable 'sugar', 'Please hurry' is a normal imperative, and 'a very good friend of mine' is the usual double genitive.\nHence the correct option is (a).","solHi":null,"pos":2,"neg":0.5},{"id":11702,"n":2,"subject":"English Language","stem":"Identify the part of the sentence that contains a grammatical error.\nA. The organization's data, B. which has been collected and analyzed C. for over a decade, D. support the conclusion that the new strategy is ineffective.","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"The company's data","textHi":null,"imageUrl":null},{"key":"b","text":"which has been collected and analyzed","textHi":null,"imageUrl":null},{"key":"c","text":"for over a decade","textHi":null,"imageUrl":null},{"key":"d","text":"support the conclusion that the new strategy is ineffective.","textHi":null,"imageUrl":null}],"correct":"d","sol":"Subject-verb agreement\nPart B already fixes the number of the subject: 'which has been collected' is a singular verb, so 'data' is being used as a singular mass noun in this sentence.\nThe main verb in part D must agree with that same subject, therefore 'support' has to become 'supports the conclusion that the new strategy is ineffective.'\n $\"figure\"/$ \nParts A, B and C are faultless - the possessive 'organization's', the relative clause and the time phrase 'for over a decade' are all correctly built.\nHence the correct option is (d).","solHi":null,"pos":2,"neg":0.5},{"id":11703,"n":3,"subject":"English Language","stem":"Fill in the blank with the most appropriate preposition:\nThe rules were implemented

____

accordance with local laws.","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"in","textHi":null,"imageUrl":null},{"key":"b","text":"by","textHi":null,"imageUrl":null},{"key":"c","text":"to","textHi":null,"imageUrl":null},{"key":"d","text":"under","textHi":null,"imageUrl":null}],"correct":"a","sol":"Fixed preposition\n'In accordance with' is a fixed prepositional phrase meaning 'in agreement with' or 'as laid down by'.\nThe rules were put into effect exactly as the local laws require, which is that sense, so the blank takes 'in'.\n $\"figure\"/$ \n'By accordance', 'to accordance' and 'under accordance' are not English collocations; 'under' can go with 'the law' but never with 'accordance'.\nHence the correct option is (a).","solHi":null,"pos":2,"neg":0.5},{"id":11704,"n":4,"subject":"English Language","stem":"Fill in the blank with the most appropriate conjunction:\nHe must complete the registration by Friday,

____

he won't be allowed to participate.","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"or else","textHi":null,"imageUrl":null},{"key":"b","text":"unless","textHi":null,"imageUrl":null},{"key":"c","text":"and","textHi":null,"imageUrl":null},{"key":"d","text":"since","textHi":null,"imageUrl":null}],"correct":"a","sol":"Conjunction of consequence\nThe first clause states a condition and the second states what will happen if that condition is missed, so the linker must mean 'if this is not done, then ...'.\n'Or else' carries exactly that warning - finish the registration by Friday, otherwise participation is barred.\n $\"figure\"/$ \n'Unless' already contains a negative ('if not'), so it cannot be followed by another negative clause; 'and' shows mere addition and 'since' gives a cause, and neither fits a penalty.\nHence the correct option is (a).","solHi":null,"pos":2,"neg":0.5},{"id":11705,"n":5,"subject":"English Language","stem":"Choose the correctly spelt word:","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"Abeeyance","textHi":null,"imageUrl":null},{"key":"b","text":"Abyeence","textHi":null,"imageUrl":null},{"key":"c","text":"Abyeance","textHi":null,"imageUrl":null},{"key":"d","text":"Abeyance","textHi":null,"imageUrl":null}],"correct":"d","sol":"Correct spelling\nThe correct spelling is 'Abeyance', meaning a state of temporary suspension, as in 'the matter was held in abeyance'.\nIt comes from Old French 'abeance' and keeps the simple pattern a-bey-ance: one 'e' after the 'b', then 'y', then '-ance'.\n $\"figure\"/$ \nHence the correct option is (d).","solHi":null,"pos":2,"neg":0.5},{"id":11706,"n":6,"subject":"English Language","stem":"Select the most appropriate antonym of the word:\nExquisite","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"Elegant","textHi":null,"imageUrl":null},{"key":"b","text":"Refined","textHi":null,"imageUrl":null},{"key":"c","text":"Coarse","textHi":null,"imageUrl":null},{"key":"d","text":"Delicate","textHi":null,"imageUrl":null}],"correct":"c","sol":"Antonym of Exquisite\n'Exquisite' means extremely beautiful, delicate and finely finished, so its opposite must mean rough or unrefined.\n'Coarse' means rough in texture and crude in taste or manner - the exact opposite of a fine, delicate finish.\n $\"figure\"/$ \n'Elegant', 'Refined' and 'Delicate' each repeat a part of the meaning of exquisite, so they are synonyms and not antonyms.\nHence the correct option is (c).","solHi":null,"pos":2,"neg":0.5},{"id":11707,"n":7,"subject":"English Language","stem":"Choose the correct one-word substitute for:\nA system of government of a country in which one person has complete power","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"Democracy","textHi":null,"imageUrl":null},{"key":"b","text":"Oligarchy","textHi":null,"imageUrl":null},{"key":"c","text":"Autocracy","textHi":null,"imageUrl":null},{"key":"d","text":"Plutocracy","textHi":null,"imageUrl":null}],"correct":"c","sol":"One-word substitution\n'Autocracy' is government by a single person who holds absolute, unchecked power - the Greek roots are 'autos' (self) and 'kratos' (rule).\n $\"figure\"/$ \nIn a democracy power rests with the people, in an oligarchy with a small group and in a plutocracy with the wealthy; in none of these does one person rule alone.\nHence the correct option is (c).","solHi":null,"pos":2,"neg":0.5},{"id":11708,"n":8,"subject":"English Language","stem":"Choose the most suitable option to replace the highlighted part of the sentence:\nStewie did not speak to no one in the room.","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"anyone","textHi":null,"imageUrl":null},{"key":"b","text":"no one","textHi":null,"imageUrl":null},{"key":"c","text":"somebody","textHi":null,"imageUrl":null},{"key":"d","text":"nobody","textHi":null,"imageUrl":null}],"correct":"a","sol":"Double negative\nStandard English does not allow two negatives to express a single negation, and 'did not' has already made this sentence negative.\nAdding the negative pronoun 'no one' creates a double negative, so it must be replaced by the non-assertive form 'anyone': 'Stewie did not speak to anyone in the room.'\n $\"figure\"/$ \n'Nobody' repeats exactly the same fault, and 'somebody' is an assertive form that cannot follow a negative verb.\nHence the correct option is (a).","solHi":null,"pos":2,"neg":0.5},{"id":11709,"n":9,"subject":"English Language","stem":"Select the most appropriate antonym of the word:\nEuphemism","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"Vagueness","textHi":null,"imageUrl":null},{"key":"b","text":"Bluntness","textHi":null,"imageUrl":null},{"key":"c","text":"Substitute","textHi":null,"imageUrl":null},{"key":"d","text":"Understatement","textHi":null,"imageUrl":null}],"correct":"b","sol":"Antonym of Euphemism\nA euphemism is a mild, polite expression used in place of a harsh or unpleasant one, as 'passed away' is used for 'died'.\nIts opposite is plain, direct speech that spares nobody's feelings, and that is 'Bluntness'.\n $\"figure\"/$ \n'Understatement' also plays a matter down and 'Vagueness' merely blurs it, so both stand on the same side as euphemism; 'Substitute' names what a euphemism is, not its opposite.\nHence the correct option is (b).","solHi":null,"pos":2,"neg":0.5},{"id":11710,"n":10,"subject":"English Language","stem":"Choose the correct indirect narration of the following statement from the given alternatives:\nThe father said to the child, "Don't touch the hot iron."","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"The father warned the child not to touch the hot iron.","textHi":null,"imageUrl":null},{"key":"b","text":"The father told the child not to touched the hot iron.","textHi":null,"imageUrl":null},{"key":"c","text":"The father warned the child not to be touching the hot iron.","textHi":null,"imageUrl":null},{"key":"d","text":"The father requested the child never to touching the hot iron.","textHi":null,"imageUrl":null}],"correct":"a","sol":"Imperative in indirect speech\nThe reported words are a negative command, so in indirect speech the reporting verb becomes one of ordering, telling, forbidding or warning, and the command turns into 'not + to + V1'.\n'Don't touch' therefore becomes 'not to touch', and since the caution concerns a danger - a hot iron - 'warned' is the fitting reporting verb.\n $\"figure\"/$ \n(b) writes 'not to touched', (c) turns the base verb into a continuous 'to be touching', and (d) has 'never to touching'; all three break the to + base-verb rule.\nHence the correct option is (a).","solHi":null,"pos":2,"neg":0.5},{"id":11711,"n":11,"subject":"English Language","stem":"Change the following sentence into the Active form.\nThe complex project will have been finished by a staff of workers.","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"A staff of workers will finish the complex project.","textHi":null,"imageUrl":null},{"key":"b","text":"The complex project will finish a staff of workers.","textHi":null,"imageUrl":null},{"key":"c","text":"A staff of workers will have finished the complex project.","textHi":null,"imageUrl":null},{"key":"d","text":"The complex project has been finished by a staff of workers.","textHi":null,"imageUrl":null}],"correct":"c","sol":"Passive to active voice\nThe given sentence is future perfect passive: 'will have been + V3' in 'will have been finished'.\nTo make it active, the agent after 'by' becomes the subject, the passive subject becomes the object, and the verb takes the future perfect active form 'will have + V3'.\n $\"figure\"/$ \nThat gives 'A staff of workers will have finished the complex project.'\n(a) drops the perfect aspect, (b) reverses subject and object so that the project finishes the workers, and (d) is still passive and in a different tense.\nHence the correct option is (c).","solHi":null,"pos":2,"neg":0.5},{"id":11712,"n":12,"subject":"English Language","stem":"Fill in the blank with the correctly spelled word that means "excessively talkative, especially about trivial matters." The

____

guest kept the host tired with his boring talk.","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"garulous","textHi":null,"imageUrl":null},{"key":"b","text":"garralous","textHi":null,"imageUrl":null},{"key":"c","text":"garrulous","textHi":null,"imageUrl":null},{"key":"d","text":"garrolous","textHi":null,"imageUrl":null}],"correct":"c","sol":"Correct spelling\nThe word meant is 'garrulous' - excessively talkative, especially about trivial matters.\nIt is spelt with a double 'r' and a 'u' in the second syllable: gar-ru-lous, from the Latin 'garrire', to chatter.\n $\"figure\"/$ \nHence the correct option is (c).","solHi":null,"pos":2,"neg":0.5},{"id":11713,"n":13,"subject":"English Language","stem":"Choose the most suitable option to replace the highlighted part of the sentence:\nAs soon as Reena opened the umbrella, a scorpion fell about of it.","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"fell up from","textHi":null,"imageUrl":null},{"key":"b","text":"fell off from","textHi":null,"imageUrl":null},{"key":"c","text":"fell out of","textHi":null,"imageUrl":null},{"key":"d","text":"fallen down of","textHi":null,"imageUrl":null}],"correct":"c","sol":"Phrasal verb with preposition\nThe scorpion was inside the umbrella and came down from inside it, and the phrasal verb for movement out of an enclosed space is 'fall out of'.\nThe sentence needs a simple past verb to match 'As soon as Reena opened', so the form is 'fell out of'.\n $\"figure\"/$ \n'Fell up from' is self-contradictory, 'fell off from' doubles the preposition and suits a surface rather than an inside, and 'fallen down of' is a past participle with no auxiliary verb.\nHence the correct option is (c).","solHi":null,"pos":2,"neg":0.5},{"id":11714,"n":14,"subject":"English Language","stem":"Select the option that expresses the given sentence in direct voice.\nThe novice artist confidently announced that he could paint a masterpiece if he were given enough time.","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"The novice artist announced, "I can paint a masterpiece if I am given enough time."","textHi":null,"imageUrl":null},{"key":"b","text":"The novice artist said, "He could paint a masterpiece if he was given enough time."","textHi":null,"imageUrl":null},{"key":"c","text":"The novice artist announced, 'I could paint a masterpiece if I were given enough time."","textHi":null,"imageUrl":null},{"key":"d","text":"The novice artist said, "I can paint a masterpiece if I were given enough time."","textHi":null,"imageUrl":null}],"correct":"a","sol":"$29","solHi":null,"pos":2,"neg":0.5},{"id":11715,"n":15,"subject":"English Language","stem":"Choose the correct passive voice transformation of the sentence:\nThe industrious worker performs his tasks with meticulous care every single day.","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"His tasks are performed with meticulous care by the industrious worker every single day.","textHi":null,"imageUrl":null},{"key":"b","text":"His tasks were performed with meticulous care by the industrious worker every single day.","textHi":null,"imageUrl":null},{"key":"c","text":"His tasks are being performed with meticulous care by the industrious worker every single day.","textHi":null,"imageUrl":null},{"key":"d","text":"The industrious worker is performed with meticulous care by his tasks every single day.","textHi":null,"imageUrl":null}],"correct":"a","sol":"Active to passive voice\nThe active sentence is in the simple present: subject 'The industrious worker', verb 'performs', object 'his tasks'.\nThe passive of a simple present verb is 'am/is/are + V3'; the object 'his tasks' is plural, so it becomes the subject and the verb is 'are performed', with 'by the industrious worker' as the agent.\n $\"figure\"/$ \n(b) shifts the tense to the past 'were performed', (c) makes it present continuous 'are being performed', and (d) swaps subject and agent so that the worker is performed by his tasks.\nHence the correct option is (a).","solHi":null,"pos":2,"neg":0.5},{"id":11716,"n":16,"subject":"English Language","stem":"Which of the following correctly converts the statement below into an interrogative sentence? "Plants that demand minimal vigilance have become almost axiomatic for those seeking verdant comfort within their domiciles."","stemHi":null,"context":"$2a","contextHi":null,"options":[{"key":"a","text":"Plants that demand minimal vigilance have not become almost axiomatic for those seeking verdant comfort within their domiciles?","textHi":null,"imageUrl":null},{"key":"b","text":"Is plants that demand minimal vigilance have become almost axiomatic for those seeking verdant comfort within their domiciles?","textHi":null,"imageUrl":null},{"key":"c","text":"Why plants that demand minimal vigilance have become almost axiomatic for those seeking verdant comfort within their domiciles?","textHi":null,"imageUrl":null},{"key":"d","text":"Have plants that demand minimal vigilance become almost axiomatic for those seeking verdant comfort within their domiciles?","textHi":null,"imageUrl":null}],"correct":"d","sol":"Statement to interrogative\nThe statement carries the auxiliary 'have' in 'have become', and a yes-no question is formed by moving that auxiliary in front of the subject.\nThe subject here is the whole phrase 'plants that demand minimal vigilance', so 'Have' comes before it and the main verb stays as the past participle 'become'.\n $\"figure\"/$ \n(a) keeps the word order of a statement and merely adds 'not', (b) puts the singular 'Is' before a plural subject while still keeping 'have become', and (c) begins with 'Why' without inverting the auxiliary.\nHence the correct option is (d).","solHi":null,"pos":2,"neg":0.5},{"id":11717,"n":17,"subject":"English Language","stem":"Rewrite the following sentence from the passage in passive voice without changing the tense: "The snake plant (Sansevieria trifasciata) can endure erratic watering schedules without forfeiting its structural elegance."","stemHi":null,"context":"$2b","contextHi":null,"options":[{"key":"a","text":"Erratic watering schedules can be endured by the snake plant without forfeiting its structural elegance.","textHi":null,"imageUrl":null},{"key":"b","text":"Erratic watering schedules are endured by the snake plant without forfeiting its structural elegance.","textHi":null,"imageUrl":null},{"key":"c","text":"Erratic watering schedules will be endured by the snake plant without forfeiting its structural elegance.","textHi":null,"imageUrl":null},{"key":"d","text":"Erratic watering schedules were endured by the snake plant without forfeiting its structural elegance.","textHi":null,"imageUrl":null}],"correct":"a","sol":"Passive with a modal\nThe sentence contains the modal 'can', and a modal passive is formed as 'modal + be + V3', the modal itself never changing.\nThe object 'erratic watering schedules' becomes the subject, so 'can endure' becomes 'can be endured', with 'by the snake plant' as the agent; the adverbial 'without forfeiting its structural elegance' stays as it is.\n $\"figure\"/$ \n(b) 'are endured', (c) 'will be endured' and (d) 'were endured' all throw away the modal 'can', and with it the sense of ability that the sentence must keep.\nHence the correct option is (a).","solHi":null,"pos":2,"neg":0.5},{"id":11718,"n":18,"subject":"English Language","stem":"In the phrase *tolerating prolonged droughts... without capitulating to decay," the word "capitulating" is closest in meaning to:","stemHi":null,"context":"$2c","contextHi":null,"options":[{"key":"a","text":"Strengthening","textHi":null,"imageUrl":null},{"key":"b","text":"Surrendering","textHi":null,"imageUrl":null},{"key":"c","text":"Multiplying","textHi":null,"imageUrl":null},{"key":"d","text":"Regenerating","textHi":null,"imageUrl":null}],"correct":"b","sol":"Word meaning in context\n'Capitulate' means to stop resisting and give in, to surrender to a stronger force.\nThe passage says the ZZ plant tolerates prolonged droughts and low light 'without capitulating to decay', that is, without yielding to decay, so 'Surrendering' is the closest meaning.\n $\"figure\"/$ \n'Strengthening', 'Multiplying' and 'Regenerating' all describe growth or recovery, which is the very opposite of giving in.\nHence the correct option is (b).","solHi":null,"pos":2,"neg":0.5},{"id":11719,"n":19,"subject":"English Language","stem":"What does the expression "verdant comfort" imply in the context of the passage?","stemHi":null,"context":"$2d","contextHi":null,"options":[{"key":"a","text":"Emotional rest derived from green scenery","textHi":null,"imageUrl":null},{"key":"b","text":"A luxurious sofa","textHi":null,"imageUrl":null},{"key":"c","text":"Comfort provided by greenery","textHi":null,"imageUrl":null},{"key":"d","text":"Artificial decoration","textHi":null,"imageUrl":null}],"correct":"c","sol":"Meaning of an expression\n'Verdant' means green with growing plants, and 'comfort' here is the ease and pleasantness of a living space.\nThe passage uses the phrase for city dwellers who want that greenery inside their homes without the labour of tending it, so the plain reading is 'Comfort provided by greenery'.\n $\"figure\"/$ \n(a) narrows it to emotional rest from 'scenery', which suggests an outdoor view that the passage never discusses; (b) takes 'comfort' literally as furniture; (d) contradicts the passage, which is about living plants, not artificial decoration.\nHence the correct option is (c).","solHi":null,"pos":2,"neg":0.5},{"id":11720,"n":20,"subject":"English Language","stem":"According to the passage, which plant offers a functional medicinal benefit esteemed for skin care ('dermal amelioration") in addition to its ornamental value?","stemHi":null,"context":"$2e","contextHi":null,"options":[{"key":"a","text":"Pothos (Epipremnum aureum)","textHi":null,"imageUrl":null},{"key":"b","text":"Aloe vera","textHi":null,"imageUrl":null},{"key":"c","text":"Snake plant (Sansevieria trifasciata)","textHi":null,"imageUrl":null},{"key":"d","text":"ZZ plant (Zamioculcas zamiifolia)","textHi":null,"imageUrl":null}],"correct":"b","sol":"Detail from the passage\nThe third paragraph states that beyond its ornamental utility, aloe vera confers medicinal benefits, as its gel is esteemed for dermal amelioration.\n'Dermal amelioration' means improvement of the skin, so aloe vera is the plant credited with a skin-care benefit as well as an ornamental one.\n $\"figure\"/$ \nThe snake plant, the pothos and the ZZ plant are praised only for hardiness and appearance; the passage claims no medicinal use for them.\nHence the correct option is (b).","solHi":null,"pos":2,"neg":0.5},{"id":11721,"n":21,"subject":"English Language","stem":"Rearrange the following sentences to form a meaningful and grammatically correct paragraph:\nP. He prepared his body for the intense training by following a specific diet and drinking lots of water.\nQ. He tested his body to its limits by going on long runs on the weekends.\nR. During the week, he built his endurance by running smaller distances.\nS. He was weary but joyful when he reached the finish line on race day.","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"Q, R, P, S","textHi":null,"imageUrl":null},{"key":"b","text":"P, R, Q, S","textHi":null,"imageUrl":null},{"key":"c","text":"S, R, Q, P","textHi":null,"imageUrl":null},{"key":"d","text":"R, S, Q, P","textHi":null,"imageUrl":null}],"correct":"b","sol":"Sentence rearrangement\nThe paragraph traces a runner's preparation from the first step to race day, so it must open with what he did before the training itself began.\nP is that opening line: the special diet and the water are how he got his body ready for the intense training.\nR follows, because it describes the weekday routine — shorter distances that slowly built his endurance.\nQ comes after R, since the modest weekday runs lead naturally to the long weekend runs that pushed his body to its limits.\nS is the closing line, as the finish line on race day is the result of all that training.\nThe order is therefore P, R, Q, S, so option (b) is correct.","solHi":null,"pos":2,"neg":0.5},{"id":11722,"n":22,"subject":"English Language","stem":"Put the following sentences in the correct order to form a logical and grammatically accurate paragraph:\nP. The municipal public park was transformed into a vibrant community hub with lush gardens and leisure spots.\nQ. This was a highly anticipated effort that brought people together and fostered a warm atmosphere.\nR. The area quickly turned into a popular spot for parents, exercise lovers, and outdoor rans.\nS. Residents and local shops teamed up to provide essential items like flowers, seats, and equipment.","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"P, S, Q, R","textHi":null,"imageUrl":null},{"key":"b","text":"Q, S, R, P","textHi":null,"imageUrl":null},{"key":"c","text":"S, P, R, Q","textHi":null,"imageUrl":null},{"key":"d","text":"R, S, P, Q","textHi":null,"imageUrl":null}],"correct":"a","sol":"Sentence rearrangement\nThe paragraph is about a park, so the sentence that names the park and states what happened to it has to come first.\nP does exactly that: the municipal public park was transformed into a vibrant community hub.\nS then tells us how the transformation was managed — residents and local shops pooled flowers, seats and equipment.\nQ must follow S, because 'This ... effort' in Q points back to the joint work described in S and comments on it.\nR rounds the paragraph off with the outcome: the area became a popular spot for parents and exercise lovers.\nThe correct order is P, S, Q, R, so option (a) is correct.","solHi":null,"pos":2,"neg":0.5},{"id":11723,"n":23,"subject":"English Language","stem":"Which word is closest in meaning to parlour?\nThe weather was grey and damp, but in the quiet parlour the shades were closed and the lamp shone clearly.","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"Tunnel","textHi":null,"imageUrl":null},{"key":"b","text":"Balcony","textHi":null,"imageUrl":null},{"key":"c","text":"Room","textHi":null,"imageUrl":null},{"key":"d","text":"Garden","textHi":null,"imageUrl":null}],"correct":"c","sol":"Synonym in context\nA parlour is a sitting room in a house, kept for relaxing or for receiving guests, so the plain word closest to it is 'room'.\nThe sentence itself proves the point: the shades were closed and the lamp shone clearly, which can happen only in an enclosed indoor space.\nA balcony is an open platform projecting from an outside wall and a garden is an outdoor patch of ground, so neither could hold drawn shades and a steady lamp while the weather outside was grey and damp.\nA tunnel is an underground passage and has nothing to do with a house at all, so option (c) is correct.","solHi":null,"pos":2,"neg":0.5},{"id":11724,"n":24,"subject":"English Language","stem":"Which of the following pairs of homonyms can be used to fill in the blanks most suitably?\nAs Sneha's

____

ring slipped from her finger and sank into the pond, a curious\n

____

paddled over and, mistaking it for food, swallowed it whole.","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"symbol, cymbal","textHi":null,"imageUrl":null},{"key":"b","text":"signet, cygnet","textHi":null,"imageUrl":null},{"key":"c","text":"cygnet, signet","textHi":null,"imageUrl":null},{"key":"d","text":"cymbal, symbol","textHi":null,"imageUrl":null}],"correct":"b","sol":"Homophones: signet / cygnet\n'Signet' is a small seal, and a signet ring is the seal-ring worn on a finger — exactly what the first blank needs, since the ring slips off Sneha's finger.\n'Cygnet' is a young swan; a swan paddles on a pond and may swallow a shiny object taking it for food, so the second blank needs 'cygnet'.\nThe order asked for is therefore ring first and bird second, which rules out option (c), where the same two words stand the wrong way round.\n'Symbol' is a sign that stands for something and 'cymbal' is a brass percussion instrument, so neither can describe a ring or a bird in a pond.\nThe correct pair is signet, cygnet, so option (b) is correct.","solHi":null,"pos":2,"neg":0.5},{"id":11725,"n":25,"subject":"English Language","stem":"Which term describes an individual who believes in and worships multiple gods?","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"Monotheist","textHi":null,"imageUrl":null},{"key":"b","text":"Polytheist","textHi":null,"imageUrl":null},{"key":"c","text":"Atheist","textHi":null,"imageUrl":null},{"key":"d","text":"Agnostic","textHi":null,"imageUrl":null}],"correct":"b","sol":"One-word substitution\n'Poly-' means many and '-theist' comes from the Greek 'theos', meaning god, so a polytheist is a person who believes in and worships many gods.\nThe Greek and Roman religions of antiquity are the stock examples of polytheistic faiths.\n'Mono-' means one, so a monotheist worships a single god, and the prefix 'a-' means without, so an atheist believes in no god at all.\nAn agnostic neither affirms nor denies god, holding that the question cannot be settled; hence option (b) is correct.","solHi":null,"pos":2,"neg":0.5},{"id":11726,"n":26,"subject":"General Intelligence","stem":"In this type of question, the question is provided with substitutes for various mathematical symbols, followed by a question involving calculation of an expression. You have to put the real signs in the given equation and then solve the questions as required.\nIf '@' stands for '÷', '#' stands for '×', 'S' stands for '+', and '*' stands for '-', then find the value of:\n32 @ 4 # 3 $ 10 * 6 = ?","stemHi":"इस प्रकार के प्रश्न में विभिन्न गणितीय चिह्नों के स्थान पर कुछ प्रतीक दिए जाते हैं और उसके बाद किसी व्यंजक का मान ज्ञात करने से संबंधित प्रश्न पूछा जाता है। आपको दिए गए समीकरण में वास्तविक चिह्न रखकर प्रश्न को हल करना है।\nयदि '@' का अर्थ '÷' है, '#' का अर्थ '×' है, 'S' का अर्थ '+' है तथा '*' का अर्थ '-' है, तो निम्नलिखित का मान ज्ञात कीजिए:\n32 @ 4 # 3 $ 10 * 6 = ?","context":null,"contextHi":null,"options":[{"key":"a","text":"30","textHi":null,"imageUrl":null},{"key":"b","text":"28","textHi":null,"imageUrl":null},{"key":"c","text":"32","textHi":null,"imageUrl":null},{"key":"d","text":"24","textHi":null,"imageUrl":null}],"correct":"b","sol":"Symbol substitution\nPut the real mathematical sign in place of every symbol before doing any arithmetic.\n $\"figure\"/$ \nThe expression becomes

32 \div 4 \times 3 + 10 - 6

.\nBy BODMAS, division and multiplication are settled first and from left to right:

32 \div 4 = 8

, then

8 \times 3 = 24

.\nAddition and subtraction come last: 24 + 10 - 6 = 34 - 6 = 28.\nHence option (b) is correct.","solHi":"चिह्न प्रतिस्थापन\nकोई भी गणना करने से पहले प्रत्येक प्रतीक के स्थान पर उसका वास्तविक गणितीय चिह्न रख दीजिए।\n $\"figure\"/$ \nव्यंजक बन जाता है

32 \div 4 \times 3 + 10 - 6

।\nBODMAS के अनुसार पहले भाग और गुणा, वह भी बाएँ से दाएँ:

32 \div 4 = 8

, फिर

8 \times 3 = 24

।\nअंत में जोड़ और घटाव: 24 + 10 - 6 = 34 - 6 = 28।\nइसलिए सही विकल्प (b) है।","pos":2,"neg":0.5},{"id":11727,"n":27,"subject":"General Intelligence","stem":"In a row of 60 students, Karan is 20th from the left end and Arjun is 12th from the right end. How many students are standing between Karan and Arjun?","stemHi":"60 विद्यार्थियों की एक पंक्ति में करण बाएँ छोर से 20वें स्थान पर है तथा अर्जुन दाएँ छोर से 12वें स्थान पर है। करण और अर्जुन के बीच कितने विद्यार्थी खड़े हैं?","context":null,"contextHi":null,"options":[{"key":"a","text":"27","textHi":null,"imageUrl":null},{"key":"b","text":"28","textHi":null,"imageUrl":null},{"key":"c","text":"29","textHi":null,"imageUrl":null},{"key":"d","text":"30","textHi":null,"imageUrl":null}],"correct":"b","sol":"Ranking in a row\nBoth positions must first be counted from the same end of the row.\nPosition from the left = total - position from the right

+ 1

, so Arjun is 60 - 12 + 1 = 49th from the left.\n $\"figure\"/$ \nKaran is 20th and Arjun is 49th from the left, so the students standing strictly between them fill the 21st to the 48th places.\nNumber of students between = 49 - 20 - 1 = 28.\nHence option (b) is correct.","solHi":"पंक्ति में स्थान-निर्धारण\nसबसे पहले दोनों स्थानों को पंक्ति के एक ही छोर से गिनना आवश्यक है।\nबाएँ छोर से स्थान = कुल - दाएँ छोर से स्थान

+ 1

, अतः अर्जुन बाएँ छोर से 60 - 12 + 1 = 49वें स्थान पर है।\n $\"figure\"/$ \nकरण बाएँ से 20वें और अर्जुन बाएँ से 49वें स्थान पर है, अतः ठीक उनके बीच खड़े विद्यार्थी 21वें से 48वें स्थान तक हैं।\nबीच के विद्यार्थियों की संख्या = 49 - 20 - 1 = 28।\nइसलिए सही विकल्प (b) है।","pos":2,"neg":0.5},{"id":11728,"n":28,"subject":"General Intelligence","stem":"There are 50 cars parked in a single row. Car A is 15th from the left end and Car B is 12th from the right end. How many cars are parked between Car A and Car B?","stemHi":"एक ही पंक्ति में 50 कारें खड़ी हैं। कार A बाएँ छोर से 15वें स्थान पर है तथा कार B दाएँ छोर से 12वें स्थान पर है। कार A और कार B के बीच कितनी कारें खड़ी हैं?","context":null,"contextHi":null,"options":[{"key":"a","text":"22","textHi":null,"imageUrl":null},{"key":"b","text":"26","textHi":null,"imageUrl":null},{"key":"c","text":"24","textHi":null,"imageUrl":null},{"key":"d","text":"23","textHi":null,"imageUrl":null}],"correct":"d","sol":"Ranking in a row\nConvert Car B's rank so that both cars are counted from the same end.\nCar B from the left = 50 - 12 + 1 = 39th.\n $\"figure\"/$ \nCar A is 15th and Car B is 39th from the left, so the cars between them occupy the 16th to the 38th places.\nNumber of cars between = 39 - 15 - 1 = 23.\nHence option (d) is correct.","solHi":"पंक्ति में स्थान-निर्धारण\nकार B का स्थान इस प्रकार बदलिए कि दोनों कारें एक ही छोर से गिनी जाएँ।\nबाएँ छोर से कार B का स्थान = 50 - 12 + 1 = 39वाँ है।\n $\"figure\"/$ \nकार A बाएँ से 15वें और कार B बाएँ से 39वें स्थान पर है, अतः उनके बीच की कारें 16वें से 38वें स्थान तक हैं।\nबीच की कारों की संख्या = 39 - 15 - 1 = 23।\nइसलिए सही विकल्प (d) है।","pos":2,"neg":0.5},{"id":11729,"n":29,"subject":"General Intelligence","stem":"If 940 # 169 ~ 13 = 927 and 625 #

289 \sim 17 = 608

, then what is the value of 755 # 252 ~ 18?","stemHi":"यदि 940 # 169 ~ 13 = 927 और 625 #

289 \sim 17 = 608

है, तो 755 # 252 ~ 18 का मान क्या है?","context":null,"contextHi":null,"options":[{"key":"a","text":"741","textHi":null,"imageUrl":null},{"key":"b","text":"739","textHi":null,"imageUrl":null},{"key":"c","text":"745","textHi":null,"imageUrl":null},{"key":"d","text":"731","textHi":null,"imageUrl":null}],"correct":"a","sol":"$2f","solHi":"$30","pos":2,"neg":0.5},{"id":11730,"n":30,"subject":"General Intelligence","stem":"Few of the letters are given followed by a question mark (?). These letters are following a specific pattern. You have to give the correct option which can replace the question mark.\nIdentify the next term: B, F, J, N, ?","stemHi":"नीचे कुछ अक्षर दिए गए हैं जिनके बाद एक प्रश्नवाचक चिह्न (?) है। ये अक्षर एक निश्चित प्रतिरूप का पालन करते हैं। आपको वह सही विकल्प बताना है जो प्रश्नवाचक चिह्न के स्थान पर आ सके।\nअगला पद ज्ञात कीजिए: B, F, J, N, ?","context":null,"contextHi":null,"options":[{"key":"a","text":"P","textHi":null,"imageUrl":null},{"key":"b","text":"Q","textHi":null,"imageUrl":null},{"key":"c","text":"R","textHi":null,"imageUrl":null},{"key":"d","text":"S","textHi":null,"imageUrl":null}],"correct":"c","sol":"Letter series\nWrite the alphabet position of each letter: B =2, F =6, J =10, N =14.\nEach term is 4 more than the one before it, so the next position is 14 + 4 = 18.\n $\"figure\"/$ \nThe 18th letter of the English alphabet is R.\nHence option (c) is correct.","solHi":"अक्षर शृंखला\nप्रत्येक अक्षर का वर्णमाला में स्थान लिखिए: B =2, F =6, J =10, N =14।\nप्रत्येक पद अपने पिछले पद से 4 अधिक है, अतः अगला स्थान 14 + 4 = 18 होगा।\n $\"figure\"/$ \nअंग्रेज़ी वर्णमाला का 18वाँ अक्षर R है।\nइसलिए सही विकल्प (c) है।","pos":2,"neg":0.5},{"id":11731,"n":31,"subject":"General Intelligence","stem":"In three of the following pairs are same by same pattern except one pair. Which pair does not follow this pattern?","stemHi":"निम्नलिखित में से तीन युग्म एक ही प्रतिरूप पर आधारित हैं, केवल एक युग्म को छोड़कर। कौन-सा युग्म इस प्रतिरूप का पालन नहीं करता?","context":null,"contextHi":null,"options":[{"key":"a","text":"8 : 15","textHi":null,"imageUrl":null},{"key":"b","text":"

24 : 35

","textHi":null,"imageUrl":null},{"key":"c","text":"48 : 63","textHi":null,"imageUrl":null},{"key":"d","text":"

36 : 48

","textHi":null,"imageUrl":null}],"correct":"d","sol":"$31","solHi":"$32","pos":2,"neg":0.5},{"id":11732,"n":32,"subject":"General Intelligence","stem":"In three of the following pairs are same by same pattern except one pair. Which pair does not follow this pattern?","stemHi":"निम्नलिखित में से तीन युग्म एक ही प्रतिरूप पर आधारित हैं, केवल एक युग्म को छोड़कर। कौन-सा युग्म इस प्रतिरूप का पालन नहीं करता?","context":null,"contextHi":null,"options":[{"key":"a","text":"

10 : 11

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

24 : 25

","textHi":null,"imageUrl":null},{"key":"c","text":"15 : 15","textHi":null,"imageUrl":null},{"key":"d","text":"19 : 18","textHi":null,"imageUrl":null}],"correct":"c","sol":"Odd number pair\nLook at how far apart the two numbers of each pair stand.\n11 - 10 = 1, 25 - 24 = 1 and 19 - 18 = 1, so in these three pairs the numbers are consecutive integers, differing by exactly 1.\n $\"figure\"/$ \nIn 15 : 15 the two numbers are identical, so the gap is 0 and not 1.\nThat is the only pair which is not a pair of consecutive numbers, so option (c) is correct.","solHi":"असंगत संख्या-युग्म\nदेखिए कि प्रत्येक युग्म की दोनों संख्याओं के बीच कितना अंतर है।\n11 - 10 = 1, 25 - 24 = 1 तथा 19 - 18 = 1, अतः इन तीन युग्मों में संख्याएँ क्रमागत पूर्णांक हैं, जिनका अंतर ठीक 1 है।\n $\"figure\"/$ \n15 : 15 में दोनों संख्याएँ समान हैं, अतः अंतर 0 है, 1 नहीं।\nकेवल यही युग्म क्रमागत संख्याओं का युग्म नहीं है, इसलिए सही विकल्प (c) है।","pos":2,"neg":0.5},{"id":11733,"n":33,"subject":"General Intelligence","stem":"Select the related word from the given alternatives.\nVacant : Empty :: Sedate : ?","stemHi":"दिए गए विकल्पों में से संबंधित शब्द का चयन कीजिए।\nVacant : Empty :: Sedate : ?","context":null,"contextHi":null,"options":[{"key":"a","text":"Nervous","textHi":null,"imageUrl":null},{"key":"b","text":"Calm","textHi":null,"imageUrl":null},{"key":"c","text":"Noisy","textHi":null,"imageUrl":null},{"key":"d","text":"Fast","textHi":null,"imageUrl":null}],"correct":"b","sol":"Synonym analogy\nIn the first pair the two words carry the same meaning: 'vacant' and 'empty' both describe a place with nothing and nobody in it.\nThe second pair must therefore also be a pair of synonyms.\n'Sedate' means quiet, unhurried and composed in manner, which is precisely the sense of 'calm'.\n'Nervous', 'noisy' and 'fast' all suggest agitation or hurry and are opposite in spirit to 'sedate', so option (b) is correct.","solHi":"पर्यायवाची सादृश्य\nपहले युग्म में दोनों शब्दों का अर्थ एक ही है: 'vacant' और 'empty' दोनों ऐसे स्थान को बताते हैं जिसमें कुछ भी अथवा कोई भी न हो।\nअतः दूसरा युग्म भी पर्यायवाची शब्दों का युग्म होना चाहिए।\n'Sedate' का अर्थ है शांत, अविचल तथा गंभीर स्वभाव वाला, और यही अर्थ 'calm' का है।\n'Nervous', 'noisy' तथा 'fast' सभी बेचैनी अथवा शीघ्रता का भाव देते हैं और 'sedate' के विपरीत हैं, इसलिए सही विकल्प (b) है।","pos":2,"neg":0.5},{"id":11734,"n":34,"subject":"General Intelligence","stem":"Pick the correct options from the given alternatives\n132 : 354 :: 643 :?","stemHi":"दिए गए विकल्पों में से सही विकल्प चुनिए।\n132 : 354 :: 643 :?","context":null,"contextHi":null,"options":[{"key":"a","text":"854","textHi":null,"imageUrl":null},{"key":"b","text":"865","textHi":null,"imageUrl":null},{"key":"c","text":"765","textHi":null,"imageUrl":null},{"key":"d","text":"864","textHi":null,"imageUrl":null}],"correct":"b","sol":"Number analogy\nCompare 132 and 354 digit by digit, keeping the places in the same order.\n1 + 2 = 3, 3 + 2 = 5 and 2 + 2 = 4, so every digit has simply been increased by 2.\n $\"figure\"/$ \nApply the same rule to 643: 6 + 2 = 8, 4 + 2 = 6 and 3 + 2 = 5, which gives 865.\nHence option (b) is correct.","solHi":"संख्या सादृश्य\n132 और 354 की तुलना अंक-दर-अंक कीजिए, स्थानों का क्रम वही रखते हुए।\n1 + 2 = 3, 3 + 2 = 5 तथा 2 + 2 = 4, अतः प्रत्येक अंक में केवल 2 जोड़ा गया है।\n $\"figure\"/$ \nयही नियम 643 पर लगाइए: 6 + 2 = 8, 4 + 2 = 6 तथा 3 + 2 = 5, जिससे 865 प्राप्त होता है।\nइसलिए सही विकल्प (b) है।","pos":2,"neg":0.5},{"id":11735,"n":35,"subject":"General Intelligence","stem":"Choose the correct options from the alternative\n72 : 125 :: 84 : ?","stemHi":"दिए गए विकल्पों में से सही विकल्प चुनिए।\n72 : 125 :: 84 : ?","context":null,"contextHi":null,"options":[{"key":"a","text":"27","textHi":null,"imageUrl":null},{"key":"b","text":"216","textHi":null,"imageUrl":null},{"key":"c","text":"64","textHi":null,"imageUrl":null},{"key":"d","text":"512","textHi":null,"imageUrl":null}],"correct":"c","sol":"Number analogy\nTake the two digits of the first number, subtract the smaller from the larger and cube the result.\nFor 72: 7 - 2 = 5 and

5^{3} = 125

, which is exactly the second number of the given pair.\n $\"figure\"/$ \nFor 84: 8 - 4 = 4 and

4^{3} = 64

.\nHence option (c) is correct.","solHi":"संख्या सादृश्य\nपहली संख्या के दोनों अंकों में से छोटे को बड़े से घटाइए और प्राप्त अंतर का घन लीजिए।\n72 के लिए: 7 - 2 = 5 तथा

5^{3} = 125

, जो दिए गए युग्म की दूसरी संख्या ही है।\n $\"figure\"/$ \n84 के लिए: 8 - 4 = 4 तथा

4^{3} = 64

।\nइसलिए सही विकल्प (c) है।","pos":2,"neg":0.5},{"id":11736,"n":36,"subject":"General Intelligence","stem":"Which of the following options will replace the question mark (?) in the given series?\nC24, F20, I16, L12 ?","stemHi":"दी गई शृंखला में प्रश्नवाचक चिह्न (?) के स्थान पर निम्नलिखित में से कौन-सा विकल्प आएगा?\nC24, F20, I16, L12 ?","context":null,"contextHi":null,"options":[{"key":"a","text":"O8","textHi":null,"imageUrl":null},{"key":"b","text":"P8","textHi":null,"imageUrl":null},{"key":"c","text":"010","textHi":null,"imageUrl":null},{"key":"d","text":"N8","textHi":null,"imageUrl":null}],"correct":"a","sol":"Alphanumeric series\nTreat the letter part and the number part of the series separately.\nThe letters are C, F, I, L, whose positions are 3, 6, 9, 12, so each letter moves 3 places forward and the next position is 12 + 3 = 15, the letter O.\nThe numbers are 24, 20, 16, 12, each 4 less than the one before, so the next number is 12 - 4 = 8.\n $\"figure\"/$ \nJoining the two parts gives O8, so option (a) is correct.","solHi":"अक्षर-अंक शृंखला\nशृंखला के अक्षर वाले भाग और अंक वाले भाग पर अलग-अलग विचार कीजिए।\nअक्षर C, F, I, L हैं, जिनके स्थान 3, 6, 9, 12 हैं, अतः प्रत्येक अक्षर 3 स्थान आगे बढ़ता है और अगला स्थान 12 + 3 = 15 अर्थात अक्षर O होगा।\nअंक 24, 20, 16, 12 हैं, जिनमें प्रत्येक अपने पिछले से 4 कम है, अतः अगला अंक 12 - 4 = 8 होगा।\n $\"figure\"/$ \nदोनों भागों को जोड़ने पर O8 प्राप्त होता है, इसलिए सही विकल्प (a) है।","pos":2,"neg":0.5},{"id":11737,"n":37,"subject":"General Intelligence","stem":"What comes next in the series? DGI, JMO, PSU, ?","stemHi":"शृंखला में आगे क्या आएगा? DGI, JMO, PSU, ?","context":null,"contextHi":null,"options":[{"key":"a","text":"VXZ","textHi":null,"imageUrl":null},{"key":"b","text":"VYA","textHi":null,"imageUrl":null},{"key":"c","text":"WZB","textHi":null,"imageUrl":null},{"key":"d","text":"UXZ","textHi":null,"imageUrl":null}],"correct":"b","sol":"Letter-group series\nInside every group the letters rise first by 3 and then by 2: D (4), G (7), I (9); J (10), M (13), O (15); P (16), S (19), U (21).\nThe first letters of the groups are D (4), J (10) and P (16), each 6 places after the previous one, so the next group must begin at 16 + 6 = 22, the letter V.\n $\"figure\"/$ \nAdding 3 to V (22) gives 25, the letter Y, and adding 2 more gives 27, which continues past Z and comes back to A.\nThe missing group is therefore VYA, so option (b) is correct.","solHi":"अक्षर-समूह शृंखला\nप्रत्येक समूह के भीतर अक्षर पहले 3 और फिर 2 स्थान बढ़ते हैं: D (4), G (7), I (9); J (10), M (13), O (15); P (16), S (19), U (21)।\nसमूहों के पहले अक्षर D (4), J (10) तथा P (16) हैं, जिनमें प्रत्येक अपने पिछले से 6 स्थान आगे है, अतः अगला समूह 16 + 6 = 22 अर्थात अक्षर V से आरंभ होगा।\n $\"figure\"/$ \nV (22) में 3 जोड़ने पर 25 अर्थात अक्षर Y मिलता है, और उसमें 2 और जोड़ने पर 27 मिलता है, जो Z के आगे बढ़कर पुनः A पर आ जाता है।\nअतः लुप्त समूह VYA है, इसलिए सही विकल्प (b) है।","pos":2,"neg":0.5},{"id":11738,"n":38,"subject":"General Intelligence","stem":"Carefully examine the Reference Statement. Then, identify the single option among the four alternatives (a, b, c, d) that is an EXACT AND COMPLETE REPLICATION of the Reference Statement. Pay exceptionally close attention to every character, number, symbol, space, and punctuation mark.\nReference: Zurich; January 12th, 14:20 CET.","stemHi":"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: Zurich; January 12th, 14:20 CET.","context":null,"contextHi":null,"options":[{"key":"a","text":"Zurich, January 12th, 14:20 CET.","textHi":null,"imageUrl":null},{"key":"b","text":"Zurich; January 12th, 14:20 CET.","textHi":null,"imageUrl":null},{"key":"c","text":"Zurich; January 12th, 14:20 Cet.","textHi":null,"imageUrl":null},{"key":"d","text":"Zurich; January 12.th, 14:20 CET.","textHi":null,"imageUrl":null}],"correct":"b","sol":"Exact replication check\nCompare each option with the reference 'Zurich; January 12th, 14:20 CET.' character by character.\n $\"figure\"/$ \nIn (a) the city name is followed by a comma, whereas the reference puts a semicolon after 'Zurich'.\nIn (c) the time zone is written 'Cet.' in place of the capitals 'CET.'.\nIn (d) a stray full stop has crept into the date — '12.th' instead of '12th'.\nOnly (b) repeats every letter, digit and punctuation mark of the reference, so option (b) is correct.","solHi":"सटीक प्रतिकृति जाँच\nप्रत्येक विकल्प की संदर्भ कथन 'Zurich; January 12th, 14:20 CET.' से अक्षर-दर-अक्षर तुलना कीजिए।\n $\"figure\"/$ \n(a) में नगर के नाम के बाद अल्पविराम है, जबकि संदर्भ में 'Zurich' के बाद अर्धविराम है।\n(c) में समय-क्षेत्र बड़े अक्षरों वाले 'CET.' के स्थान पर 'Cet.' लिखा गया है।\n(d) में तिथि में एक अतिरिक्त पूर्ण-विराम आ गया है — '12th' के स्थान पर '12.th'।\nकेवल (b) में संदर्भ का प्रत्येक अक्षर, अंक और विराम-चिह्न ज्यों का त्यों है, इसलिए सही विकल्प (b) है।","pos":2,"neg":0.5},{"id":11740,"n":40,"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":"12","textHi":null,"imageUrl":null},{"key":"b","text":"15","textHi":null,"imageUrl":null},{"key":"c","text":"10","textHi":null,"imageUrl":null},{"key":"d","text":"14","textHi":null,"imageUrl":null}],"correct":"d","sol":"Counting triangles\nName the corner points of the figure so that every triangle can be written down without repetition.\n $\"figure\"/$ \nThe rectangle is cut into 5 equal columns and one slanting line crosses each column, splitting it into two triangles.\nThese smallest triangles are ABG, GBH, BHI, BCI, CDI, IDJ, DJK, DEK, EFK and KFL, that is

5 \times 2 = 10

triangles.\nTwo neighbouring slanting lines meet at a common point and are closed by the top or the bottom edge, giving the larger triangles GBI, BID, IDK and DKF — 4 more.\nNo other combination closes, because slanting lines that are not neighbours are parallel to each other.\nTotal number of triangles = 10 + 4 = 14, so option (d) is correct.","solHi":"त्रिभुजों की गणना\nआकृति के कोने-बिंदुओं का नामकरण कीजिए ताकि प्रत्येक त्रिभुज बिना दोहराव के लिखा जा सके।\n $\"figure\"/$ \nआयत 5 बराबर स्तंभों में बँटा है और प्रत्येक स्तंभ को एक तिरछी रेखा काटकर दो त्रिभुजों में बाँट देती है।\nये सबसे छोटे त्रिभुज ABG, GBH, BHI, BCI, CDI, IDJ, DJK, DEK, EFK तथा KFL हैं, अर्थात

5 \times 2 = 10

त्रिभुज।\nदो पड़ोसी तिरछी रेखाएँ एक उभयनिष्ठ बिंदु पर मिलती हैं और ऊपरी या निचली भुजा से बंद हो जाती हैं, जिससे बड़े त्रिभुज GBI, BID, IDK तथा DKF बनते हैं — 4 और।\nइसके अतिरिक्त कोई संयोजन त्रिभुज नहीं बनाता, क्योंकि जो तिरछी रेखाएँ पड़ोसी नहीं हैं वे परस्पर समांतर हैं।\nत्रिभुजों की कुल संख्या = 10 + 4 = 14, इसलिए सही विकल्प (d) है।","pos":2,"neg":0.5},{"id":11741,"n":41,"subject":"General Intelligence","stem":"How many triangles are there in the given figure?\n $\"figure\"/$ ","stemHi":"दी गई आकृति में कितने त्रिभुज हैं?\n $\"figure\"/$ ","context":null,"contextHi":null,"options":[{"key":"a","text":"13","textHi":null,"imageUrl":null},{"key":"b","text":"15","textHi":null,"imageUrl":null},{"key":"c","text":"17","textHi":null,"imageUrl":null},{"key":"d","text":"14","textHi":null,"imageUrl":null}],"correct":"b","sol":"$33","solHi":"$34","pos":2,"neg":0.5},{"id":11742,"n":42,"subject":"General Intelligence","stem":"Heights of 5 students P, Q, R, S, and T are compared. No two students have the same height. Q is taller than S but shorter than P. T is taller than R. T is the second shortest. How many students are taller than Q?","stemHi":"5 विद्यार्थियों P, Q, R, S और T की लंबाइयों की तुलना की जाती है। किन्हीं दो विद्यार्थियों की लंबाई समान नहीं है। Q, S से लंबा है परंतु P से छोटा है। T, R से लंबा है। T दूसरे नंबर का सबसे छोटा है। कितने विद्यार्थी Q से लंबे हैं?","context":null,"contextHi":null,"options":[{"key":"a","text":"1","textHi":null,"imageUrl":null},{"key":"b","text":"2","textHi":null,"imageUrl":null},{"key":"c","text":"3","textHi":null,"imageUrl":null},{"key":"d","text":"0","textHi":null,"imageUrl":null}],"correct":"a","sol":"Order and ranking\nQ is taller than S but shorter than P, so P>Q>S.\nT is the second shortest, so exactly one student stands below T; since T is taller than R, that student must be R.\nSo R is the shortest and T comes next, which leaves the top three places for P, Q and S in the order P>Q>S.\n $\"figure\"/$ \nThe complete order from tallest to shortest is P>Q>S>T>R.\nOnly P is taller than Q, so the required number of students is 1.\nHence the correct option is (a).","solHi":"क्रम एवं स्थान निर्धारण\nQ, S से लंबा है परंतु P से छोटा है, अतः P>Q>S।\nT दूसरे नंबर का सबसे छोटा है, अतः T से छोटा ठीक एक ही विद्यार्थी है; और चूँकि T, R से लंबा है, वह विद्यार्थी R ही होगा।\nइसलिए R सबसे छोटा है और उसके बाद T आता है, तथा ऊपर के तीन स्थान P, Q और S को P>Q>S क्रम में मिलते हैं।\n $\"figure\"/$ \nलंबे से छोटे की ओर पूरा क्रम P>Q>S>T>R है।\nकेवल P ही Q से लंबा है, अतः अभीष्ट विद्यार्थियों की संख्या 1 है।\nइसलिए सही विकल्प (a) है।","pos":2,"neg":0.5},{"id":11743,"n":43,"subject":"General Intelligence","stem":"5 friends L, M, N, O, and K are sitting around a circular table facing the center. K is sitting to the immediate left of L. O is sitting third to the right of K. N is not an immediate neighbor of L. Who is sitting to the immediate right of L?","stemHi":"5 मित्र L, M, N, O और K एक वृत्ताकार मेज़ के चारों ओर केंद्र की ओर मुख करके बैठे हैं। K, L के ठीक बाईं ओर बैठा है। O, K के दाईं ओर तीसरे स्थान पर बैठा है। N, L का निकटतम पड़ोसी नहीं है। L के ठीक दाईं ओर कौन बैठा है?","context":null,"contextHi":null,"options":[{"key":"a","text":"N","textHi":null,"imageUrl":null},{"key":"b","text":"M","textHi":null,"imageUrl":null},{"key":"c","text":"0","textHi":null,"imageUrl":null},{"key":"d","text":"K","textHi":null,"imageUrl":null}],"correct":"b","sol":"Circular seating\nAll five face the centre, so for each of them the clockwise side is the left side and the anticlockwise side is the right side.\nK is immediately to the left of L, so going clockwise the order begins L, K.\nO is third to the right of K, i.e. three seats anticlockwise from K; in a circle of five seats that is the same as two seats clockwise from K, so the clockwise order so far is L, K, _, O, _.\nThe seat left beside L would make its occupant a neighbour of L, and N cannot be one, so N takes the seat between K and O, and M sits beside L.\n $\"figure\"/$ \nThe clockwise order is L, K, N, O, M, so the friend sitting anticlockwise of L - that is, immediately to L’s right - is M.\nHence the correct option is (b).","solHi":"वृत्ताकार बैठक व्यवस्था\nसभी पाँचों केंद्र की ओर मुख किए हुए हैं, अतः प्रत्येक के लिए दक्षिणावर्त दिशा उसकी बाईं ओर तथा वामावर्त दिशा उसकी दाईं ओर होगी।\nK, L के ठीक बाईं ओर है, अतः दक्षिणावर्त क्रम L, K से आरंभ होता है।\nO, K के दाईं ओर तीसरे स्थान पर है, अर्थात् K से तीन सीट वामावर्त; पाँच सीटों के वृत्त में यह K से दो सीट दक्षिणावर्त के बराबर है, अतः अब तक दक्षिणावर्त क्रम L, K, _, O, _ बनता है।\nL के बगल में बची सीट पर बैठने वाला L का निकटतम पड़ोसी होगा, और N ऐसा नहीं हो सकता; अतः N को K तथा O के बीच वाली सीट मिलती है और M, L के बगल में बैठता है।\n $\"figure\"/$ \nदक्षिणावर्त क्रम L, K, N, O, M है, अतः L से वामावर्त बैठा मित्र - अर्थात् L के ठीक दाईं ओर बैठा मित्र - M है।\nइसलिए सही विकल्प (b) है।","pos":2,"neg":0.5},{"id":11744,"n":44,"subject":"General Intelligence","stem":"8 friends A, B, C, D, E, F, G, and H are sitting in a row facing south (not necessarily in the same order). A is immediately to the right of E.A is at the fifth position to the right of F. D is at the fifth position to the left of E. H is at the third position to the right of

D

. There are exactly two friends sitting between B and G. G is the immediate neighbour of A. Which friends are at the ends of the row?","stemHi":"8 मित्र A, B, C, D, E, F, G और H एक पंक्ति में दक्षिण की ओर मुख करके बैठे हैं (आवश्यक नहीं कि इसी क्रम में)। A, E के ठीक दाईं ओर है। A, F के दाईं ओर पाँचवें स्थान पर है। D, E के बाईं ओर पाँचवें स्थान पर है। H,

D

के दाईं ओर तीसरे स्थान पर है। B और G के बीच ठीक दो मित्र बैठे हैं। G, A का निकटतम पड़ोसी है। पंक्ति के दोनों सिरों पर कौन-से मित्र हैं?","context":null,"contextHi":null,"options":[{"key":"a","text":"A and G","textHi":"A और G","imageUrl":null},{"key":"b","text":"G and D","textHi":"G और D","imageUrl":null},{"key":"c","text":"B and E","textHi":"B और E","imageUrl":null},{"key":"d","text":"D and H","textHi":"D और H","imageUrl":null}],"correct":"b","sol":"$35","solHi":"$36","pos":2,"neg":0.5},{"id":11745,"n":45,"subject":"General Intelligence","stem":"A person starts walking from his home. He walks 30 km towards East. He then turns right and walks 40 km. After that, he turns left and walks 30 km. Finally, he turns right and walks 40 km . How far (in km) and in which direction is he now from his starting point?","stemHi":"एक व्यक्ति अपने घर से चलना आरंभ करता है। वह पूर्व की ओर 30 km चलता है। फिर वह दाएँ मुड़कर 40 km चलता है। उसके बाद वह बाएँ मुड़कर 30 km चलता है। अंत में वह दाएँ मुड़कर 40 km चलता है। अब वह अपने प्रारंभिक बिंदु से कितनी दूर (km में) और किस दिशा में है?","context":null,"contextHi":null,"options":[{"key":"a","text":"60, South-East","textHi":"60, दक्षिण-पूर्व","imageUrl":null},{"key":"b","text":"80, South","textHi":"80, दक्षिण","imageUrl":null},{"key":"c","text":"100, South-East","textHi":"100, दक्षिण-पूर्व","imageUrl":null},{"key":"d","text":"60, East","textHi":"60, पूर्व","imageUrl":null}],"correct":"c","sol":"Direction sense\nHe starts facing East; a right turn makes him face South, the next left turn brings him back to East, and the last right turn makes him face South again.\n $\"figure\"/$ \nTotal movement towards East =30+30=60 km.\nTotal movement towards South =40+40=80 km.\nThe two movements are perpendicular, so the straight distance is

\sqrt{60^{2} + 80^{2}} = \sqrt{3600 + 6400} = \sqrt{10000} = 100

km.\nHe has finished east of and south of his home, so he is in the South-East direction from it.\nHence the correct option is (c).","solHi":"दिशा-ज्ञान\nवह पूर्व की ओर मुख करके चलना आरंभ करता है; दाएँ मुड़ने पर वह दक्षिण की ओर हो जाता है, अगली बार बाएँ मुड़ने पर पुनः पूर्व की ओर और अंतिम बार दाएँ मुड़ने पर फिर दक्षिण की ओर हो जाता है।\n $\"figure\"/$ \nपूर्व दिशा में कुल दूरी =30+30=60 km।\nदक्षिण दिशा में कुल दूरी =40+40=80 km।\nदोनों दूरियाँ परस्पर लंबवत हैं, अतः सीधी दूरी

= \sqrt{60^{2} + 80^{2}} = \sqrt{3600 + 6400} = \sqrt{10000} = 100

km।\nअंत में वह अपने घर से पूर्व की ओर तथा दक्षिण की ओर है, अतः वह घर से दक्षिण-पूर्व दिशा में है।\nइसलिए सही विकल्प (c) है।","pos":2,"neg":0.5},{"id":11746,"n":46,"subject":"General Intelligence","stem":"M walks 10 km towards South and reaches point X . He turns left and walks 12 km to reach point Y . He finally turns left and walks 5 km to reach point Z . How far (in km ) is point X from point Z and in which direction is M facing now?","stemHi":"M दक्षिण की ओर 10 km चलकर बिंदु X पर पहुँचता है। वह बाएँ मुड़कर 12 km चलकर बिंदु Y पर पहुँचता है। अंत में वह बाएँ मुड़कर 5 km चलकर बिंदु Z पर पहुँचता है। बिंदु X, बिंदु Z से कितनी दूर (km में) है तथा M अब किस दिशा में मुख किए हुए है?","context":null,"contextHi":null,"options":[{"key":"a","text":"13 , North","textHi":"13, उत्तर","imageUrl":null},{"key":"b","text":"17, North","textHi":"17, उत्तर","imageUrl":null},{"key":"c","text":"13, South","textHi":"13, दक्षिण","imageUrl":null},{"key":"d","text":"17, West","textHi":"17, पश्चिम","imageUrl":null}],"correct":"a","sol":"Direction sense\nHe is first walking South, so a left turn makes him face East; after the eastward walk a second left turn makes him face North.\n $\"figure\"/$ \nTake the start as the origin: X lies 10 km south of it, Y lies 12 km east of X, and Z lies 5 km north of Y.\nSo Z is 12 km east of X and 5 km north of X, and these two are perpendicular.\n

X Z = \sqrt{12^{2} + 5^{2}} = \sqrt{144 + 25} = \sqrt{169} = 13

km.\nHis last move was towards the North, so M is now facing North.\nHence the correct option is (a).","solHi":"$37","pos":2,"neg":0.5},{"id":11747,"n":47,"subject":"General Intelligence","stem":"Three out of the following four are alike in a particular pattern and hence form a group. Find the one which does not belong to that group.\nWindows, MacOS, Android, HTML","stemHi":"निम्नलिखित चार में से तीन एक निश्चित प्रकार से समान हैं और इस प्रकार एक समूह बनाते हैं। उस एक को ज्ञात कीजिए जो उस समूह से संबंधित नहीं है।\nWindows, MacOS, Android, HTML","context":null,"contextHi":null,"options":[{"key":"a","text":"Windows","textHi":null,"imageUrl":null},{"key":"b","text":"MacOS","textHi":null,"imageUrl":null},{"key":"c","text":"Android","textHi":null,"imageUrl":null},{"key":"d","text":"HTML","textHi":null,"imageUrl":null}],"correct":"d","sol":"Odd one out\nWindows, MacOS and Android are all operating systems - the software that controls a device’s hardware and runs the applications on it.\nHTML (HyperText Markup Language) is not an operating system at all; it is the markup language used to lay out the content of web pages.\n $\"figure\"/$ \nSo HTML is the one that does not belong to the group.\nHence the correct option is (d).","solHi":"असंगत छाँटना\nWindows, MacOS और Android सभी ऑपरेटिंग सिस्टम हैं - वह सॉफ़्टवेयर जो किसी डिवाइस के हार्डवेयर को नियंत्रित करता है और उस पर एप्लिकेशन चलाता है।\nHTML (HyperText Markup Language) ऑपरेटिंग सिस्टम है ही नहीं; यह वेब पृष्ठों की सामग्री को व्यवस्थित करने वाली मार्कअप भाषा है।\n $\"figure\"/$ \nअतः HTML ही वह विकल्प है जो इस समूह से संबंधित नहीं है।\nइसलिए सही विकल्प (d) है।","pos":2,"neg":0.5},{"id":11748,"n":48,"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 प्रतिरूप 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":"$38","solHi":"$39","pos":2,"neg":0.5},{"id":11749,"n":49,"subject":"General Intelligence","stem":"If '

P

' denotes '

x

', '

Q

' denotes '

\div

', '

R

' denotes '+' and ' S ' denotes ' - , then what is the value of the following expression ?\n12 R 8 P 3 S 10 Q 2","stemHi":"यदि ‘

P

’ का अर्थ ‘

x

’ है, ‘

Q

’ का अर्थ ‘

\div

’ है, ‘

R

’ का अर्थ ‘+’ है और ‘ S ’ का अर्थ ‘-’ है, तो निम्नलिखित व्यंजक का मान क्या है?\n12 R 8 P 3 S 10 Q 2","context":null,"contextHi":null,"options":[{"key":"a","text":"25","textHi":null,"imageUrl":null},{"key":"b","text":"30","textHi":null,"imageUrl":null},{"key":"c","text":"31","textHi":null,"imageUrl":null},{"key":"d","text":"36","textHi":null,"imageUrl":null}],"correct":"c","sol":"Symbol substitution\nReplace every letter by the sign it stands for.\n $\"figure\"/$ \nThe expression

12 R 8 P 3 S 10 Q 2

becomes

12 + 8 \times 3 - 10 \div 2

.\nBy BODMAS, division and multiplication are done first:

8 \times 3 = 24

and

10 \div 2 = 5

.\n=12+24-5\n=31\nHence the correct option is (c).","solHi":"चिह्न प्रतिस्थापन\nप्रत्येक अक्षर के स्थान पर उसका निर्दिष्ट चिह्न रखिए।\n $\"figure\"/$ \nव्यंजक

12 R 8 P 3 S 10 Q 2

बन जाता है

12 + 8 \times 3 - 10 \div 2

।\nBODMAS के अनुसार पहले भाग और गुणा किया जाता है:

8 \times 3 = 24

तथा

10 \div 2 = 5

।\n=12+24-5\n=31\nइसलिए सही विकल्प (c) है।","pos":2,"neg":0.5},{"id":11750,"n":50,"subject":"General Intelligence","stem":"By interchanging the given two numbers (not digits) which of the following equation will be correct? 4 and 8\nI.

3 \times 8 + 4 - 10 \div 2 = 15

\nII.

4 \div 2 + 8 \times 5 - 6 = 18

","stemHi":"दी गई दो संख्याओं (अंकों को नहीं) को आपस में बदलने पर निम्नलिखित में से कौन-सा समीकरण सही होगा? 4 और 8\nI.

3 \times 8 + 4 - 10 \div 2 = 15

\nII.

4 \div 2 + 8 \times 5 - 6 = 18

","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":"$3a","solHi":"$3b","pos":2,"neg":0.5},{"id":11751,"n":51,"subject":"Quantitative Aptitude","stem":"What is the square root of 53824?","stemHi":"53824 का वर्गमूल क्या है?","context":null,"contextHi":null,"options":[{"key":"a","text":"222","textHi":null,"imageUrl":null},{"key":"b","text":"232","textHi":null,"imageUrl":null},{"key":"c","text":"238","textHi":null,"imageUrl":null},{"key":"d","text":"242","textHi":null,"imageUrl":null}],"correct":"b","sol":"$3c","solHi":"$3d","pos":2,"neg":0.5},{"id":11752,"n":52,"subject":"Quantitative Aptitude","stem":"Find the value :\n

\sqrt{?} + 19 = \sqrt{3364}

","stemHi":"मान ज्ञात कीजिए :\n

\sqrt{?} + 19 = \sqrt{3364}

","context":null,"contextHi":null,"options":[{"key":"a","text":"1600","textHi":null,"imageUrl":null},{"key":"b","text":"1444","textHi":null,"imageUrl":null},{"key":"c","text":"1521","textHi":null,"imageUrl":null},{"key":"d","text":"1296","textHi":null,"imageUrl":null}],"correct":"c","sol":"Square roots\nFirst simplify the right-hand side:

58^{2} = 3364

, so

\sqrt{3364} = 58

.\n

\sqrt{?} + 19 = 58

\sqrt{?} = 58 - 19 = 39

\nSquaring both sides,

? = 39^{2} = 1521

.\nHence the correct option is (c).","solHi":"वर्गमूल\nपहले दाईं ओर को सरल कीजिए:

58^{2} = 3364

, अतः

\sqrt{3364} = 58

।\n

\sqrt{?} + 19 = 58

\sqrt{?} = 58 - 19 = 39

\nदोनों पक्षों का वर्ग करने पर

? = 39^{2} = 1521

।\nइसलिए सही विकल्प (c) है।","pos":2,"neg":0.5},{"id":11753,"n":53,"subject":"Quantitative Aptitude","stem":"Simplify :\n

(\frac{168}{\sqrt{441}}) \times (\frac{\sqrt{225}}{5}) \times (\frac{\sqrt{64}}{4})

","stemHi":"सरल कीजिए :\n

(\frac{168}{\sqrt{441}}) \times (\frac{\sqrt{225}}{5}) \times (\frac{\sqrt{64}}{4})

","context":null,"contextHi":null,"options":[{"key":"a","text":"42","textHi":null,"imageUrl":null},{"key":"b","text":"48","textHi":null,"imageUrl":null},{"key":"c","text":"36","textHi":null,"imageUrl":null},{"key":"d","text":"54","textHi":null,"imageUrl":null}],"correct":"b","sol":"$3e","solHi":"$3f","pos":2,"neg":0.5},{"id":11754,"n":54,"subject":"Quantitative Aptitude","stem":"Average of 7 consecutive even numbers is 52 . Find the largest number.","stemHi":"7 क्रमागत सम संख्याओं का औसत 52 है। सबसे बड़ी संख्या ज्ञात कीजिए।","context":null,"contextHi":null,"options":[{"key":"a","text":"58","textHi":null,"imageUrl":null},{"key":"b","text":"56","textHi":null,"imageUrl":null},{"key":"c","text":"60","textHi":null,"imageUrl":null},{"key":"d","text":"62","textHi":null,"imageUrl":null}],"correct":"a","sol":"Average of a series\nWhen an odd number of consecutive even numbers is taken, the average equals the middle term.\nSo the 4th of the seven numbers is 52.\nThree numbers lie above it, each greater than the previous one by 2.\nLargest number

= 52 + 3 \times 2 = 52 + 6 = 58

.\n $\"figure\"/$ \nHence the correct option is (a).","solHi":"शृंखला का औसत\nजब क्रमागत सम संख्याओं की गिनती विषम होती है, तब औसत बीच वाले पद के बराबर होता है।\nअतः सात संख्याओं में से चौथी संख्या 52 है।\nइसके ऊपर तीन संख्याएँ हैं, जिनमें प्रत्येक अपनी पिछली संख्या से 2 अधिक है।\nसबसे बड़ी संख्या

= 52 + 3 \times 2 = 52 + 6 = 58

।\n $\"figure\"/$ \nइसलिए सही विकल्प (a) है।","pos":2,"neg":0.5},{"id":11755,"n":55,"subject":"Quantitative Aptitude","stem":"The average score of a batsman in 4 innings is 60 runs. If the difference between his highest and lowest score is 40 runs and the other two scores are 55 and 65 , find the highest score.","stemHi":"एक बल्लेबाज़ का 4 पारियों में औसत स्कोर 60 रन है। यदि उसके उच्चतम और निम्नतम स्कोर का अंतर 40 रन है तथा शेष दो स्कोर 55 और 65 हैं, तो उच्चतम स्कोर ज्ञात कीजिए।","context":null,"contextHi":null,"options":[{"key":"a","text":"70","textHi":null,"imageUrl":null},{"key":"b","text":"75","textHi":null,"imageUrl":null},{"key":"c","text":"80","textHi":null,"imageUrl":null},{"key":"d","text":"85","textHi":null,"imageUrl":null}],"correct":"c","sol":"Average and totals\nTotal runs in 4 innings

= 4 \times 60 = 240

.\nThe two known scores add up to 55+65=120.\nSo highest + lowest =240-120=120 ... (i)\nIt is given that highest - lowest =40 ... (ii)\nAdding (i) and (ii):

2 \times

highest =160.\nHighest =80 (and the lowest is 120-80=40).\nHence the correct option is (c).","solHi":"औसत तथा योग\n4 पारियों के कुल रन

= 4 \times 60 = 240

।\nदिए गए दो स्कोरों का योग =55+65=120।\nअतः उच्चतम + निम्नतम =240-120=120 ... (i)\nदिया गया है कि उच्चतम - निम्नतम =40 ... (ii)\n(i) और (ii) को जोड़ने पर:

2 \times

उच्चतम =160।\nउच्चतम =80 (तथा निम्नतम =120-80=40)।\nइसलिए सही विकल्प (c) है।","pos":2,"neg":0.5},{"id":11756,"n":56,"subject":"Quantitative Aptitude","stem":"The price of an article increases from ₹ 500 to ₹ 650 . What is the percentage increase?","stemHi":"एक वस्तु का मूल्य ₹ 500 से बढ़कर ₹ 650 हो जाता है। प्रतिशत वृद्धि कितनी है?","context":null,"contextHi":null,"options":[{"key":"a","text":"20%","textHi":null,"imageUrl":null},{"key":"b","text":"

30 %

","textHi":null,"imageUrl":null},{"key":"c","text":"15%","textHi":null,"imageUrl":null},{"key":"d","text":"25%","textHi":null,"imageUrl":null}],"correct":"b","sol":"Percentage increase\nIncrease in price =650-500=150, i.e. ₹150.\nPercentage increase

= \frac{increase}{original price} \times 100

= \frac{150}{500} \times 100

= 30 %

\nHence the correct option is (b).","solHi":"प्रतिशत वृद्धि\nमूल्य में वृद्धि =650-500=150, अर्थात् ₹150।\nप्रतिशत वृद्धि

= \frac{वृद्धि}{मूल मूल्य} \times 100

= \frac{150}{500} \times 100

= 30 %

\nइसलिए सही विकल्प (b) है।","pos":2,"neg":0.5},{"id":11757,"n":57,"subject":"Quantitative Aptitude","stem":"A number is increased by 50% and then decreased by 40%. What is the net percentage change?","stemHi":"एक संख्या को पहले 50% बढ़ाया जाता है और फिर 40% घटाया जाता है। शुद्ध प्रतिशत परिवर्तन क्या है?","context":null,"contextHi":null,"options":[{"key":"a","text":"10% increase","textHi":"10% वृद्धि","imageUrl":null},{"key":"b","text":"10% decrease","textHi":"10% कमी","imageUrl":null},{"key":"c","text":"5% increase","textHi":"5% वृद्धि","imageUrl":null},{"key":"d","text":"20% decrease","textHi":"20% कमी","imageUrl":null}],"correct":"b","sol":"$40","solHi":"$41","pos":2,"neg":0.5},{"id":11758,"n":58,"subject":"Quantitative Aptitude","stem":"A smartphone is marked at Rs. 20,000. A discount of 15% is offered during a sale. Find the selling price.","stemHi":"एक स्मार्टफोन का अंकित मूल्य Rs. 20,000 है। सेल के दौरान 15% की छूट दी जाती है। विक्रय मूल्य ज्ञात कीजिए।","context":null,"contextHi":null,"options":[{"key":"a","text":"Rs. 16,500","textHi":null,"imageUrl":null},{"key":"b","text":"Rs. 17,000","textHi":null,"imageUrl":null},{"key":"c","text":"Rs. 17,500","textHi":null,"imageUrl":null},{"key":"d","text":"Rs. 18,000","textHi":null,"imageUrl":null}],"correct":"b","sol":"Discount\nSelling price = marked price

\times (1 - \frac{discount %}{100})

= 20000 \times (1 - \frac{15}{100})

= 20000 \times \frac{85}{100}

\n=17000\nSo the selling price is Rs. 17,000.\nHence the correct option is (b).","solHi":"छूट\nविक्रय मूल्य = अंकित मूल्य

\times (1 - \frac{छूट %}{100})

= 20000 \times (1 - \frac{15}{100})

= 20000 \times \frac{85}{100}

\n=17000\nअतः विक्रय मूल्य Rs. 17,000 है।\nइसलिए सही विकल्प (b) है।","pos":2,"neg":0.5},{"id":11759,"n":59,"subject":"Quantitative Aptitude","stem":"The marked price of a bicycle is Rs. 5,000. If the shopkeeper offers a discount of

20 %

, what is the selling price?","stemHi":"एक साइकिल का अंकित मूल्य Rs. 5,000 है। यदि दुकानदार

20 %

की छूट देता है, तो विक्रय मूल्य क्या होगा?","context":null,"contextHi":null,"options":[{"key":"a","text":"Rs. 3,500","textHi":null,"imageUrl":null},{"key":"b","text":"Rs. 3,800","textHi":null,"imageUrl":null},{"key":"c","text":"Rs. 4,000","textHi":null,"imageUrl":null},{"key":"d","text":"Rs. 4,200","textHi":null,"imageUrl":null}],"correct":"c","sol":"Discount\nA discount of 20% leaves

100 - 20 = 80 %

of the marked price to be paid.\nSelling price

= 5000 \times \frac{80}{100}

\n=4000\nSo the selling price is Rs. 4,000.\nHence the correct option is (c).","solHi":"छूट\n20% की छूट के बाद अंकित मूल्य का

100 - 20 = 80 %

ही चुकाना पड़ता है।\nविक्रय मूल्य

= 5000 \times \frac{80}{100}

\n=4000\nअतः विक्रय मूल्य Rs. 4,000 है।\nइसलिए सही विकल्प (c) है।","pos":2,"neg":0.5},{"id":11760,"n":60,"subject":"Quantitative Aptitude","stem":"A product is marked at Rs. 8000 and sold at a discount of 15%. What is the selling price?","stemHi":"एक उत्पाद का अंकित मूल्य Rs. 8000 है और उसे 15% की छूट पर बेचा जाता है। विक्रय मूल्य क्या है?","context":null,"contextHi":null,"options":[{"key":"a","text":"Rs. 6800","textHi":null,"imageUrl":null},{"key":"b","text":"Rs. 6900","textHi":null,"imageUrl":null},{"key":"c","text":"Rs. 7000","textHi":null,"imageUrl":null},{"key":"d","text":"Rs. 7200","textHi":null,"imageUrl":null}],"correct":"a","sol":"Discount\nA discount of 15% leaves

100 - 15 = 85 %

of the marked price to be paid.\nSelling price

= 8000 \times \frac{85}{100}

\n=6800\nSo the selling price is Rs. 6,800.\nHence the correct option is (a).","solHi":"छूट\n15% की छूट के बाद अंकित मूल्य का

100 - 15 = 85 %

ही चुकाना पड़ता है।\nविक्रय मूल्य

= 8000 \times \frac{85}{100}

\n=6800\nअतः विक्रय मूल्य Rs. 6,800 है।\nइसलिए सही विकल्प (a) है।","pos":2,"neg":0.5},{"id":11761,"n":61,"subject":"Quantitative Aptitude","stem":"X can complete a project in 6 days, while Y can complete the same project in 4 days. If they work together, how many days will they take to complete the project?","stemHi":"X किसी परियोजना को 6 दिनों में पूरा कर सकता है, जबकि Y उसी परियोजना को 4 दिनों में पूरा कर सकता है। यदि वे मिलकर कार्य करें, तो परियोजना को पूरा करने में उन्हें कितने दिन लगेंगे?","context":null,"contextHi":null,"options":[{"key":"a","text":"2.2 days","textHi":"2.2 दिन","imageUrl":null},{"key":"b","text":"2.4 days","textHi":"2.4 दिन","imageUrl":null},{"key":"c","text":"2.5 days","textHi":"2.5 दिन","imageUrl":null},{"key":"d","text":"2.8 days","textHi":"2.8 दिन","imageUrl":null}],"correct":"b","sol":"Time and work — together\nTake the total work as the LCM of 6 and 4, that is 12 units.\nX's one day work

= \frac{12}{6} = 2

units and Y's one day work

= \frac{12}{4} = 3

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

= \frac{12}{5} = 2.4

days\nHence option (b) is correct.","solHi":"समय और कार्य — एक साथ\nकुल कार्य को 6 और 4 का ल.स. अर्थात् 12 इकाई मानिए।\nX का एक दिन का कार्य

= \frac{12}{6} = 2

इकाई तथा Y का एक दिन का कार्य

= \frac{12}{4} = 3

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

= \frac{12}{5} = 2.4

दिन\nअतः सही विकल्प (b) है।","pos":2,"neg":0.5},{"id":11762,"n":62,"subject":"Quantitative Aptitude","stem":"Ram and Shyam together can finish a piece of work in 8 days. If Ram alone can finish the same work in 12 days, how many days will Shyam take to finish it alone?","stemHi":"राम और श्याम मिलकर किसी कार्य को 8 दिनों में समाप्त कर सकते हैं। यदि राम अकेला उसी कार्य को 12 दिनों में समाप्त कर सकता है, तो श्याम अकेला उसे कितने दिनों में समाप्त करेगा?","context":null,"contextHi":null,"options":[{"key":"a","text":"16 days","textHi":"16 दिन","imageUrl":null},{"key":"b","text":"20 days","textHi":"20 दिन","imageUrl":null},{"key":"c","text":"24 days","textHi":"24 दिन","imageUrl":null},{"key":"d","text":"18 days","textHi":"18 दिन","imageUrl":null}],"correct":"c","sol":"Time and work — one alone\nTake the total work as the LCM of 8 and 12, that is 24 units.\n(Ram + Shyam) do

\frac{24}{8} = 3

units a day, while Ram alone does

\frac{24}{12} = 2

units a day.\nShyam's one day work =3-2=1 unit\n $\"figure\"/$ \nTime taken by Shyam alone

= \frac{24}{1} = 24

days\nHence option (c) is correct.","solHi":"समय और कार्य — अकेले\nकुल कार्य को 8 और 12 का ल.स. अर्थात् 24 इकाई मानिए।\n(राम + श्याम) एक दिन में

\frac{24}{8} = 3

इकाई कार्य करते हैं, जबकि राम अकेला एक दिन में

\frac{24}{12} = 2

इकाई कार्य करता है।\nश्याम का एक दिन का कार्य =3-2=1 इकाई\n $\"figure\"/$ \nश्याम को अकेले लगा समय

= \frac{24}{1} = 24

दिन\nअतः सही विकल्प (c) है।","pos":2,"neg":0.5},{"id":11763,"n":63,"subject":"Quantitative Aptitude","stem":"A designer creates a regular polygonal clock with each internal angle

144^{\circ}

.How many sides does it have?","stemHi":"एक डिज़ाइनर एक सम बहुभुज के आकार की घड़ी बनाता है जिसका प्रत्येक अंतःकोण

144^{\circ}

है। इसकी कितनी भुजाएँ हैं?","context":null,"contextHi":null,"options":[{"key":"a","text":"10","textHi":null,"imageUrl":null},{"key":"b","text":"12","textHi":null,"imageUrl":null},{"key":"c","text":"8","textHi":null,"imageUrl":null},{"key":"d","text":"9","textHi":null,"imageUrl":null}],"correct":"a","sol":"$42","solHi":"$43","pos":2,"neg":0.5},{"id":11764,"n":64,"subject":"Quantitative Aptitude","stem":"A vertical pole 6 m high casts a shadow 4 m long. At the same time, a tower casts a shadow 28 m long. Find the height of the tower.","stemHi":"6 मीटर ऊँचा एक ऊर्ध्वाधर खंभा 4 मीटर लंबी छाया बनाता है। उसी समय एक मीनार 28 मीटर लंबी छाया बनाती है। मीनार की ऊँचाई ज्ञात कीजिए।","context":null,"contextHi":null,"options":[{"key":"a","text":"40 m","textHi":"40 मीटर","imageUrl":null},{"key":"b","text":"42 m","textHi":"42 मीटर","imageUrl":null},{"key":"c","text":"45 m","textHi":"45 मीटर","imageUrl":null},{"key":"d","text":"48 m","textHi":"48 मीटर","imageUrl":null}],"correct":"b","sol":"Similar triangles — shadows\nAt the same moment the sun's rays fall at the same angle, so the pole with its shadow and the tower with its shadow form similar right triangles.\n $\"figure\"/$ \nIn similar triangles corresponding sides are proportional, so the ratio of height to shadow is the same for both.\n

\frac{6}{4} = \frac{h}{28}

h = \frac{6 \times 28}{4} = 42

\nThe tower is 42 m high, so option (b) is correct.","solHi":"समरूप त्रिभुज — छाया\nएक ही समय पर सूर्य की किरणें समान कोण पर पड़ती हैं, अतः खंभा और उसकी छाया तथा मीनार और उसकी छाया समरूप समकोण त्रिभुज बनाते हैं।\n $\"figure\"/$ \nसमरूप त्रिभुजों में संगत भुजाएँ समानुपाती होती हैं, अतः ऊँचाई और छाया का अनुपात दोनों के लिए समान है।\n

\frac{6}{4} = \frac{h}{28}

h = \frac{6 \times 28}{4} = 42

\nमीनार की ऊँचाई 42 मीटर है, अतः सही विकल्प (b) है।","pos":2,"neg":0.5},{"id":11765,"n":65,"subject":"Quantitative Aptitude","stem":"A drone ascends along a path forming a right-angled triangle with a vertical height of 8 units and a straight-line travel distance (hypotenuse) of 17 units. If

θ

is the angle opposite to height and

θ

lies in the 1st quadrant, find

\tan (θ)

.","stemHi":"एक ड्रोन ऐसे पथ पर ऊपर उठता है जो एक समकोण त्रिभुज बनाता है जिसकी ऊर्ध्वाधर ऊँचाई 8 इकाई तथा सरल-रेखीय यात्रा दूरी (कर्ण) 17 इकाई है। यदि

θ

ऊँचाई के सम्मुख कोण है और

θ

प्रथम चतुर्थांश में स्थित है, तो

\tan (θ)

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

\frac{15}{8}

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

\frac{8}{15}

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

\frac{8}{17}

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

\frac{15}{17}

","textHi":null,"imageUrl":null}],"correct":"b","sol":"$44","solHi":"$45","pos":2,"neg":0.5},{"id":11766,"n":66,"subject":"Quantitative Aptitude","stem":"Average of first 25 odd numbers is:","stemHi":"प्रथम 25 विषम संख्याओं का औसत है:","context":null,"contextHi":null,"options":[{"key":"a","text":"24","textHi":null,"imageUrl":null},{"key":"b","text":"25","textHi":null,"imageUrl":null},{"key":"c","text":"26","textHi":null,"imageUrl":null},{"key":"d","text":"50","textHi":null,"imageUrl":null}],"correct":"b","sol":"$46","solHi":"$47","pos":2,"neg":0.5},{"id":11767,"n":67,"subject":"Quantitative Aptitude","stem":"A certain sum amounts to ₹1,800 in 2 years and ₹2,100 in 4 years. Find the principal amount.","stemHi":"कोई धनराशि 2 वर्षों में ₹1,800 तथा 4 वर्षों में ₹2,100 हो जाती है। मूलधन ज्ञात कीजिए।","context":null,"contextHi":null,"options":[{"key":"a","text":"₹1,200","textHi":null,"imageUrl":null},{"key":"b","text":"₹1,450","textHi":null,"imageUrl":null},{"key":"c","text":"₹1,600","textHi":null,"imageUrl":null},{"key":"d","text":"₹1,500","textHi":null,"imageUrl":null}],"correct":"d","sol":"Simple interest — principal\nUnder simple interest the same amount of interest is added every year, so the growth from year to year is uniform.\nInterest for (4-2)=2 years =2100-1800=300\nInterest for 1 year

= \frac{300}{2} = 150

\n $\"figure\"/$ \nPrincipal = amount after 2 years - interest of 2 years

= 1800 - 2 \times 150 = 1500

\nThe principal is ₹1,500, so option (d) is correct.","solHi":"साधारण ब्याज — मूलधन\nसाधारण ब्याज में प्रत्येक वर्ष समान ब्याज जुड़ता है, अतः वर्ष-दर-वर्ष वृद्धि एकसमान रहती है।\n(4-2)=2 वर्षों का ब्याज =2100-1800=300\n1 वर्ष का ब्याज

= \frac{300}{2} = 150

\n $\"figure\"/$ \nमूलधन = 2 वर्ष बाद का मिश्रधन - 2 वर्षों का ब्याज

= 1800 - 2 \times 150 = 1500

\nमूलधन ₹1,500 है, अतः सही विकल्प (d) है।","pos":2,"neg":0.5},{"id":11768,"n":68,"subject":"Quantitative Aptitude","stem":"Simplify:\n

(\frac{(64^{\frac{5}{6}} \times {(\frac{1}{32})}^{- \frac{4}{5}})}{(\sqrt{18} + \sqrt{2})^{2} - (\sqrt{18} - \sqrt{2})^{2}})

","stemHi":"सरल कीजिए:\n

(\frac{(64^{\frac{5}{6}} \times {(\frac{1}{32})}^{- \frac{4}{5}})}{(\sqrt{18} + \sqrt{2})^{2} - (\sqrt{18} - \sqrt{2})^{2}})

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

\frac{32}{3}

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

\frac{128}{3}

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

\frac{64}{3}

","textHi":null,"imageUrl":null},{"key":"d","text":"16","textHi":null,"imageUrl":null}],"correct":"c","sol":"$48","solHi":"$49","pos":2,"neg":0.5},{"id":11769,"n":69,"subject":"Quantitative Aptitude","stem":"A point P is outside a circle with radius 5 cm . A secant line passing through P and the circle's center O intersects the circle at points A and B, where

B

is the point on the secant closer to

P

A

tangent from

P

touches the circle at

T

, and

P T = 12 cm

. Find the length of the segment PB.","stemHi":"एक बिंदु P, 5 cm त्रिज्या वाले वृत्त के बाहर स्थित है। P तथा वृत्त के केंद्र O से होकर जाने वाली एक छेदक रेखा वृत्त को बिंदुओं A और B पर काटती है, जहाँ

B

छेदक पर

P

के अधिक निकट स्थित बिंदु है।

A

स्पर्श रेखा

P

से खींची जाती है जो वृत्त को

T

पर स्पर्श करती है, तथा

P T = 12 cm

है। रेखाखंड PB की लंबाई ज्ञात कीजिए।","context":null,"contextHi":null,"options":[{"key":"a","text":"13 cm","textHi":null,"imageUrl":null},{"key":"b","text":"18 cm","textHi":null,"imageUrl":null},{"key":"c","text":"7 cm","textHi":null,"imageUrl":null},{"key":"d","text":"8 cm","textHi":null,"imageUrl":null}],"correct":"d","sol":"$4a","solHi":"$4b","pos":2,"neg":0.5},{"id":11770,"n":70,"subject":"Quantitative Aptitude","stem":"A triangle has vertices with coordinates

P (2, 5), Q (6, 9)

, and

R (4, 7)

. What is the y -coordinate of its centroid?","stemHi":"एक त्रिभुज के शीर्षों के निर्देशांक

P (2, 5), Q (6, 9)

, तथा

R (4, 7)

हैं। इसके केंद्रक का y-निर्देशांक क्या है?","context":null,"contextHi":null,"options":[{"key":"a","text":"5","textHi":null,"imageUrl":null},{"key":"b","text":"6","textHi":null,"imageUrl":null},{"key":"c","text":"7","textHi":null,"imageUrl":null},{"key":"d","text":"8","textHi":null,"imageUrl":null}],"correct":"c","sol":"$4c","solHi":"$4d","pos":2,"neg":0.5},{"id":11771,"n":71,"subject":"Quantitative Aptitude","stem":"Point

O

is the circumcenter of

△ P Q R

Which of the following properties is ALWAYS true regarding point

O

?","stemHi":"बिंदु

O

△ P Q R

का परिकेंद्र है। बिंदु

O

के संबंध में निम्नलिखित में से कौन-सा गुण सदैव सत्य है?","context":null,"contextHi":null,"options":[{"key":"a","text":"

O

is equidistant from the three sides

P Q, Q R

, and

R P

.","textHi":"

O

तीनों भुजाओं

P Q, Q R

, तथा

R P

से समान दूरी पर है।","imageUrl":null},{"key":"b","text":"

O

is equidistant from the three vertices

P, Q

, and

R

.","textHi":"

O

तीनों शीर्षों

P, Q

, तथा

R

से समान दूरी पर है।","imageUrl":null},{"key":"c","text":"The distance

O P

is half the distance

O Q

","textHi":"दूरी

O P

, दूरी

O Q

की आधी है।","imageUrl":null},{"key":"d","text":"

O

always lies inside the triangle.","textHi":"

O

सदैव त्रिभुज के अंदर स्थित होता है।","imageUrl":null}],"correct":"b","sol":"Circumcentre property\nThe circumcentre is the point where the perpendicular bisectors of the three sides meet.\nEvery point on the perpendicular bisector of a segment is equally far from the two end points of that segment.\n $\"figure\"/$ \nSo O is equally far from P, Q and R, and OP=OQ=OR is the circumradius of the circle drawn through the three vertices.\nThe point equidistant from the three sides is the incentre, and the circumcentre lies outside the triangle when the triangle is obtuse and on the hypotenuse when it is right-angled, so the other options are not always true.\nHence option (b) is correct.","solHi":"परिकेंद्र का गुण\nपरिकेंद्र वह बिंदु है जहाँ त्रिभुज की तीनों भुजाओं के लंब समद्विभाजक मिलते हैं।\nकिसी रेखाखंड के लंब समद्विभाजक पर स्थित प्रत्येक बिंदु उस रेखाखंड के दोनों सिरों से समान दूरी पर होता है।\n $\"figure\"/$ \nअतः O, बिंदुओं P, Q तथा R से समान दूरी पर है और OP=OQ=OR ही उस वृत्त की परित्रिज्या है जो तीनों शीर्षों से होकर जाता है।\nतीनों भुजाओं से समान दूरी पर स्थित बिंदु अंतःकेंद्र होता है, तथा अधिक कोण त्रिभुज में परिकेंद्र त्रिभुज के बाहर और समकोण त्रिभुज में कर्ण पर स्थित होता है, अतः अन्य विकल्प सदैव सत्य नहीं हैं।\nअतः सही विकल्प (b) है।","pos":2,"neg":0.5},{"id":11772,"n":72,"subject":"Quantitative Aptitude","stem":"In a triangle

A B C

, the angle bisector of angle

A

divides side

B C

at point D. If

AB = 10 cm, AC = 15 cm

, and

BC = 20 cm

, what is the length of segment BD ?","stemHi":"एक त्रिभुज

A B C

में, कोण

A

का कोण समद्विभाजक भुजा

B C

को बिंदु D पर विभाजित करता है। यदि

AB = 10 cm, AC = 15 cm

, तथा

BC = 20 cm

है, तो रेखाखंड BD की लंबाई क्या है?","context":null,"contextHi":null,"options":[{"key":"a","text":"12 cm","textHi":null,"imageUrl":null},{"key":"b","text":"10 cm","textHi":null,"imageUrl":null},{"key":"c","text":"8 cm","textHi":null,"imageUrl":null},{"key":"d","text":"6 cm","textHi":null,"imageUrl":null}],"correct":"c","sol":"$4e","solHi":"$4f","pos":2,"neg":0.5},{"id":11773,"n":73,"subject":"Quantitative Aptitude","stem":"Two circles with radii 7 cm and 4 cm are placed such that the distance between their centers is 11 cm . How many common tangents can be drawn to these circles in total ?","stemHi":"दो वृत्तों की त्रिज्याएँ 7 cm तथा 4 cm हैं और उन्हें इस प्रकार रखा गया है कि उनके केंद्रों के बीच की दूरी 11 cm है। इन वृत्तों पर कुल कितनी उभयनिष्ठ स्पर्श रेखाएँ खींची जा सकती हैं?","context":null,"contextHi":null,"options":[{"key":"a","text":"1","textHi":null,"imageUrl":null},{"key":"b","text":"2","textHi":null,"imageUrl":null},{"key":"c","text":"3","textHi":null,"imageUrl":null},{"key":"d","text":"4","textHi":null,"imageUrl":null}],"correct":"c","sol":"$50","solHi":"$51","pos":2,"neg":0.5},{"id":11774,"n":74,"subject":"Quantitative Aptitude","stem":"Two circles have radii of 5 cm and 3 cm respectively. The distance between their centers is 10 cm . How many common tangents can be drawn to these circles?","stemHi":"दो वृत्तों की त्रिज्याएँ क्रमशः 5 cm तथा 3 cm हैं। उनके केंद्रों के बीच की दूरी 10 cm है। इन वृत्तों पर कितनी उभयनिष्ठ स्पर्श रेखाएँ खींची जा सकती हैं?","context":null,"contextHi":null,"options":[{"key":"a","text":"4","textHi":null,"imageUrl":null},{"key":"b","text":"3","textHi":null,"imageUrl":null},{"key":"c","text":"2","textHi":null,"imageUrl":null},{"key":"d","text":"0","textHi":null,"imageUrl":null}],"correct":"a","sol":"Common tangents — apart\nCompare the distance between the centres with the sum of the radii.\n

r_{1} + r_{2} = 5 + 3 = 8

while d=10, so

d > r_{1} + r_{2}

.\n $\"figure\"/$ \nThe circles lie completely outside each other and do not cut or touch.\nSuch circles have 2 direct (external) common tangents and 2 transverse (internal) common tangents.\nTotal =2+2=4, so option (a) is correct.","solHi":"$52","pos":2,"neg":0.5},{"id":11775,"n":75,"subject":"Quantitative Aptitude","stem":"The radii of two circles are 8 cm and 3 cm . The length of a common external tangent (direct common tangent) is 12 cm . What is the distance between their centers?","stemHi":"दो वृत्तों की त्रिज्याएँ 8 cm तथा 3 cm हैं। एक उभयनिष्ठ बाह्य स्पर्श रेखा (सीधी उभयनिष्ठ स्पर्श रेखा) की लंबाई 12 cm है। उनके केंद्रों के बीच की दूरी कितनी है?","context":null,"contextHi":null,"options":[{"key":"a","text":"15 cm","textHi":null,"imageUrl":null},{"key":"b","text":"13 cm","textHi":null,"imageUrl":null},{"key":"c","text":"14 cm","textHi":null,"imageUrl":null},{"key":"d","text":"10 cm","textHi":null,"imageUrl":null}],"correct":"b","sol":"$53","solHi":"$54","pos":2,"neg":0.5},{"id":11776,"n":76,"subject":"General Awareness","stem":"The first volume of the Akbar Nama, written by Abul Fazl, primarily deals with:","stemHi":"अबुल फजल द्वारा लिखित अकबरनामा का पहला खंड मुख्य रूप से किससे संबंधित है?","context":null,"contextHi":null,"options":[{"key":"a","text":"Administrative reforms under Akbar","textHi":"अकबर के अधीन प्रशासनिक सुधार","imageUrl":null},{"key":"b","text":"Major military campaigns of Akbar","textHi":"अकबर के प्रमुख सैन्य अभियान","imageUrl":null},{"key":"c","text":"Territorial expansion of the Mughal Empire","textHi":"मुगल साम्राज्य का प्रादेशिक विस्तार","imageUrl":null},{"key":"d","text":"Akbar's ancestors","textHi":"अकबर के पूर्वज","imageUrl":null}],"correct":"d","sol":"Akbar Nama\nThe Akbar Nama was written in Persian by Abul Fazl, one of the navratnas of Akbar's court, and it runs into three volumes.\n $\"figure\"/$ \nThe first volume is the history of Akbar's ancestors — the house of Timur — together with the reigns of Babur and Humayun, up to the birth of Akbar.\nThe second volume narrates the events of Akbar's own reign year by year, and the third, called the Ain-i-Akbari, records the administration, the imperial household and the revenue statistics of the empire.\nSo administration, campaigns and territorial growth belong to the later volumes, and option (d) is correct.","solHi":"अकबरनामा\nअकबरनामा की रचना अकबर के दरबार के नवरत्नों में से एक अबुल फजल ने फारसी में की थी और यह तीन खंडों में विभाजित है।\n $\"figure\"/$ \nपहला खंड अकबर के पूर्वजों — तैमूर वंश — के इतिहास तथा बाबर और हुमायूँ के शासनकाल का, अकबर के जन्म तक, वर्णन करता है।\nदूसरा खंड अकबर के अपने शासनकाल की घटनाओं का वर्षवार वर्णन करता है, तथा तीसरा खंड, जिसे आइन-ए-अकबरी कहा जाता है, साम्राज्य के प्रशासन, शाही परिवार तथा राजस्व संबंधी आँकड़ों का लेखा-जोखा है।\nअतः प्रशासन, अभियान तथा प्रादेशिक विस्तार बाद के खंडों के विषय हैं, इसलिए सही विकल्प (d) है।","pos":2,"neg":0.5},{"id":11777,"n":77,"subject":"General Awareness","stem":"Which Mughal emperor led a successful campaign against Kashmir, and in which year did it take place ?","stemHi":"किस मुगल सम्राट ने कश्मीर के विरुद्ध सफल अभियान का नेतृत्व किया और यह किस वर्ष हुआ?","context":null,"contextHi":null,"options":[{"key":"a","text":"Babur, 1526","textHi":"बाबर, 1526","imageUrl":null},{"key":"b","text":"Humayun, 1545","textHi":"हुमायूँ, 1545","imageUrl":null},{"key":"c","text":"Akbar, 1586","textHi":"अकबर, 1586","imageUrl":null},{"key":"d","text":"Jahangir, 1605","textHi":"जहाँगीर, 1605","imageUrl":null}],"correct":"c","sol":"Mughal conquest of Kashmir\nKashmir was annexed to the Mughal empire in 1586, in the reign of Akbar.\nAkbar sent an army under Raja Bhagwant Das and Qasim Khan, which defeated the Chak rulers Yusuf Shah Chak and his son Yaqub Shah Chak.\n $\"figure\"/$ \nKashmir was then administered as part of the Kabul subah, and its valley became the favourite summer retreat of the later Mughal emperors.\nThe years in the other options mark different events — 1526 is Babur's victory at the first battle of Panipat and 1605 is Jahangir's accession — and neither is a Kashmir campaign.\nHence option (c) is correct.","solHi":"कश्मीर पर मुगल विजय\nकश्मीर को 1586 में, अकबर के शासनकाल में, मुगल साम्राज्य में मिला लिया गया था।\nअकबर ने राजा भगवंत दास तथा कासिम खान के नेतृत्व में सेना भेजी, जिसने चक शासक यूसुफ शाह चक तथा उसके पुत्र याकूब शाह चक को पराजित किया।\n $\"figure\"/$ \nइसके बाद कश्मीर का प्रशासन काबुल सूबे के अंग के रूप में किया गया और उसकी घाटी परवर्ती मुगल सम्राटों का प्रिय ग्रीष्मकालीन विश्राम-स्थल बन गई।\nअन्य विकल्पों के वर्ष भिन्न घटनाओं के हैं — 1526 पानीपत के प्रथम युद्ध में बाबर की विजय का वर्ष है तथा 1605 जहाँगीर के राज्यारोहण का — इनमें से कोई भी कश्मीर अभियान नहीं है।\nअतः सही विकल्प (c) है।","pos":2,"neg":0.5},{"id":11778,"n":78,"subject":"General Awareness","stem":"Which committee recommended the three-tier structure of Panchayati Raj in India ?","stemHi":"भारत में पंचायती राज की त्रिस्तरीय संरचना की सिफारिश किस समिति ने की थी?","context":null,"contextHi":null,"options":[{"key":"a","text":"Sarkaria Committee","textHi":"सरकारिया समिति","imageUrl":null},{"key":"b","text":"Balwant Rai Mehta Committee","textHi":"बलवंत राय मेहता समिति","imageUrl":null},{"key":"c","text":"Ashok Mehta Committee","textHi":"अशोक मेहता समिति","imageUrl":null},{"key":"d","text":"Punchhi Committee","textHi":"पुंछी समिति","imageUrl":null}],"correct":"b","sol":"Panchayati Raj committees\nThe Balwant Rai Mehta Committee was appointed in 1957 to examine the working of the Community Development Programme, and it recommended 'democratic decentralisation'.\nIt proposed a three-tier structure: Gram Panchayat at the village level, Panchayat Samiti at the block level and Zila Parishad at the district level.\n $\"figure\"/$ \nRajasthan was the first state to put the scheme into practice, inaugurated at Nagaur on 2 October 1959.\nThe Ashok Mehta Committee (1977) recommended a two-tier system instead, while the Sarkaria and Punchhi Committees examined Centre–State relations, so those options do not fit.\nHence option (b) is correct.","solHi":"पंचायती राज समितियाँ\nबलवंत राय मेहता समिति की नियुक्ति 1957 में सामुदायिक विकास कार्यक्रम की कार्यप्रणाली की जाँच के लिए की गई थी, और उसने 'लोकतांत्रिक विकेंद्रीकरण' की सिफारिश की।\nउसने त्रिस्तरीय संरचना का प्रस्ताव रखा: ग्राम स्तर पर ग्राम पंचायत, खंड स्तर पर पंचायत समिति तथा जिला स्तर पर जिला परिषद।\n $\"figure\"/$ \nइस योजना को लागू करने वाला पहला राज्य राजस्थान था, जहाँ 2 अक्टूबर 1959 को नागौर में इसका उद्घाटन हुआ।\nअशोक मेहता समिति (1977) ने इसके स्थान पर द्विस्तरीय प्रणाली की सिफारिश की थी, जबकि सरकारिया तथा पुंछी समितियों ने केंद्र-राज्य संबंधों की जाँच की थी, अतः वे विकल्प उपयुक्त नहीं हैं।\nअतः सही विकल्प (b) है।","pos":2,"neg":0.5},{"id":11779,"n":79,"subject":"General Awareness","stem":"The report of the Justice Hema Committee, which was constituted in 2017, was made public in 2024. The committee consisted of how many members?","stemHi":"वर्ष 2017 में गठित न्यायमूर्ति हेमा समिति की रिपोर्ट को 2024 में सार्वजनिक किया गया। इस समिति में कितने सदस्य थे?","context":null,"contextHi":null,"options":[{"key":"a","text":"9","textHi":null,"imageUrl":null},{"key":"b","text":"7","textHi":null,"imageUrl":null},{"key":"c","text":"5","textHi":null,"imageUrl":null},{"key":"d","text":"3","textHi":null,"imageUrl":null}],"correct":"d","sol":"Justice Hema Committee\nThe Justice Hema Committee was set up by the Government of Kerala in 2017 to study the problems faced by women in the Malayalam film industry.\nIt was a three-member committee.\n $\"figure\"/$ \nIt was constituted after the Women in Cinema Collective approached the state government, and it submitted its report in 2019.\nThe report was made public only in August 2024, when it brought out the widespread harassment, unsafe workplaces and unequal pay in the industry.\nHence option (d) is correct.","solHi":"न्यायमूर्ति हेमा समिति\nन्यायमूर्ति हेमा समिति का गठन केरल सरकार ने 2017 में मलयालम फिल्म उद्योग में महिलाओं के समक्ष आने वाली समस्याओं के अध्ययन हेतु किया था।\nयह तीन सदस्यीय समिति थी।\n $\"figure\"/$ \nइसका गठन वुमेन इन सिनेमा कलेक्टिव द्वारा राज्य सरकार से संपर्क करने के बाद हुआ था और इसने अपनी रिपोर्ट 2019 में सौंपी थी।\nरिपोर्ट अगस्त 2024 में ही सार्वजनिक की गई, जिसमें उद्योग में व्यापक उत्पीड़न, असुरक्षित कार्यस्थल तथा असमान वेतन को उजागर किया गया।\nअतः सही विकल्प (d) है।","pos":2,"neg":0.5},{"id":11780,"n":80,"subject":"General Awareness","stem":"As of June 2025, the Smart Cities Mission of the Government of India has completed how many years since its launch?","stemHi":"जून 2025 तक, भारत सरकार के स्मार्ट सिटीज मिशन को अपने शुभारंभ के कितने वर्ष पूरे हो चुके हैं?","context":null,"contextHi":null,"options":[{"key":"a","text":"10","textHi":null,"imageUrl":null},{"key":"b","text":"9","textHi":null,"imageUrl":null},{"key":"c","text":"6","textHi":null,"imageUrl":null},{"key":"d","text":"11","textHi":null,"imageUrl":null}],"correct":"a","sol":"Smart Cities Mission\nThe Smart Cities Mission was launched by the Ministry of Housing and Urban Affairs on 25 June 2015.\nCounting from that date, the mission completed 2025-2015=10 years in June 2025.\n $\"figure\"/$ \nOne hundred cities were chosen through the Smart City Challenge to take up area-based development and technology-driven urban services such as integrated command and control centres.\nThe deadline for finishing the projects was extended more than once and finally set at 31 March 2025.\nHence option (a) is correct.","solHi":"स्मार्ट सिटीज मिशन\nस्मार्ट सिटीज मिशन का शुभारंभ आवासन और शहरी कार्य मंत्रालय द्वारा 25 जून 2015 को किया गया था।\nइस तिथि से गणना करने पर मिशन ने जून 2025 में 2025-2015=10 वर्ष पूरे कर लिए।\n $\"figure\"/$ \nस्मार्ट सिटी चैलेंज के माध्यम से 100 शहरों का चयन क्षेत्र-आधारित विकास तथा एकीकृत कमान एवं नियंत्रण केंद्र जैसी प्रौद्योगिकी-आधारित शहरी सेवाओं के लिए किया गया था।\nपरियोजनाओं को पूरा करने की अंतिम तिथि एक से अधिक बार बढ़ाई गई और अंततः 31 मार्च 2025 निर्धारित की गई।\nअतः सही विकल्प (a) है।","pos":2,"neg":0.5},{"id":11781,"n":81,"subject":"General Awareness","stem":"According to the Henley Passport Index 2025, what is India's rank in passport strength?","stemHi":"हेनले पासपोर्ट इंडेक्स 2025 के अनुसार, पासपोर्ट की शक्ति (सामर्थ्य) के आधार पर भारत का स्थान कौन-सा है?","context":null,"contextHi":null,"options":[{"key":"a","text":"70th","textHi":"70वाँ","imageUrl":null},{"key":"b","text":"68th","textHi":"68वाँ","imageUrl":null},{"key":"c","text":"72nd","textHi":"72वाँ","imageUrl":null},{"key":"d","text":"83rd","textHi":"83वाँ","imageUrl":null}],"correct":"d","sol":"Henley Passport Index 2025\nAs per the Henley Passport Index 2025, India's passport stands at the 83rd position in terms of passport strength.\nThe index, published by Henley & Partners since 2006, ranks a passport by the number of destinations its holder can enter without a prior visa, using exclusive data of the International Air Transport Association (IATA).\nIt covers 199 passports against 227 travel destinations of the world.\nSingapore tops the 2025 list with visa-free access to 193 destinations, with Japan and South Korea close behind.\nHence option (d) is correct.","solHi":"हेनले पासपोर्ट इंडेक्स 2025\nहेनले पासपोर्ट इंडेक्स 2025 के अनुसार पासपोर्ट की शक्ति के आधार पर भारत का पासपोर्ट 83वें स्थान पर है।\nयह सूचकांक 2006 से Henley & Partners द्वारा प्रकाशित किया जाता है और किसी पासपोर्ट को उन गंतव्यों की संख्या के आधार पर क्रम देता है जहाँ उसका धारक बिना पूर्व वीज़ा के प्रवेश कर सकता है; इसके लिए International Air Transport Association (IATA) के विशिष्ट आँकड़ों का प्रयोग होता है।\nइसमें विश्व के 227 यात्रा-गंतव्यों के सापेक्ष 199 पासपोर्ट सम्मिलित किए जाते हैं।\n2025 की सूची में सिंगापुर 193 गंतव्यों तक वीज़ा-मुक्त पहुँच के साथ शीर्ष पर है तथा जापान एवं दक्षिण कोरिया उसके ठीक बाद हैं।\nअतः सही विकल्प (d) है।","pos":2,"neg":0.5},{"id":11782,"n":82,"subject":"General Awareness","stem":"How many countries were included in the World Press Freedom Index 2025?","stemHi":"विश्व प्रेस स्वतंत्रता सूचकांक (World Press Freedom Index) 2025 में कितने देशों को सम्मिलित किया गया था?","context":null,"contextHi":null,"options":[{"key":"a","text":"180","textHi":null,"imageUrl":null},{"key":"b","text":"160","textHi":null,"imageUrl":null},{"key":"c","text":"190","textHi":null,"imageUrl":null},{"key":"d","text":"145","textHi":null,"imageUrl":null}],"correct":"a","sol":"World Press Freedom Index\nThe World Press Freedom Index 2025, brought out by Reporters Without Borders (RSF), assessed 180 countries and territories.\nThe score of each country is built on five indicators — political, legal, economic, sociocultural and safety.\n $\"figure\"/$ \nNorway stayed at the top for the ninth year in a row, Eritrea was placed last, and India was ranked 151st.\nHence option (a) is correct.","solHi":"विश्व प्रेस स्वतंत्रता सूचकांक\nरिपोर्टर्स विदाउट बॉर्डर्स (RSF) द्वारा जारी विश्व प्रेस स्वतंत्रता सूचकांक 2025 में 180 देशों एवं क्षेत्रों का आकलन किया गया था।\nप्रत्येक देश का स्कोर पाँच संकेतकों — राजनीतिक, विधिक, आर्थिक, सामाजिक-सांस्कृतिक तथा सुरक्षा — पर आधारित होता है।\n $\"figure\"/$ \nनॉर्वे लगातार नौवें वर्ष शीर्ष पर रहा, इरिट्रिया अंतिम स्थान पर रहा तथा भारत को 151वाँ स्थान मिला।\nअतः सही विकल्प (a) है।","pos":2,"neg":0.5},{"id":11783,"n":83,"subject":"General Awareness","stem":"Which of the following is NOT one of the pillars of India's Export Preparedness Index (EPI)?\nI. Export policy II. Business environment","stemHi":"निम्नलिखित में से कौन-सा भारत के निर्यात तत्परता सूचकांक (Export Preparedness Index - EPI) के स्तंभों में से नहीं है?\nI. निर्यात नीति II. व्यावसायिक वातावरण","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":"d","sol":"Export Preparedness Index\nThe Export Preparedness Index (EPI) is released by NITI Aayog and ranks all States and Union Territories on how ready they are to export.\nIt is a composite index resting on four pillars and ten sub-pillars.\n $\"figure\"/$ \nExport policy is read under the Policy pillar and business environment under the Business Ecosystem pillar, so neither of the two statements names something that lies outside the pillar framework.\nHence option (d) is correct.","solHi":"निर्यात तत्परता सूचकांक\nनिर्यात तत्परता सूचकांक (EPI) नीति आयोग द्वारा जारी किया जाता है और यह सभी राज्यों एवं केंद्र-शासित प्रदेशों को उनकी निर्यात-तत्परता के आधार पर क्रम देता है।\nयह एक संयुक्त (composite) सूचकांक है जो चार स्तंभों तथा दस उप-स्तंभों पर आधारित है।\n $\"figure\"/$ \nनिर्यात नीति को Policy स्तंभ के अंतर्गत तथा व्यावसायिक वातावरण को Business Ecosystem स्तंभ के अंतर्गत देखा जाता है, इसलिए दोनों में से कोई भी कथन स्तंभ-ढाँचे से बाहर की वस्तु नहीं बताता।\nअतः सही विकल्प (d) है।","pos":2,"neg":0.5},{"id":11784,"n":84,"subject":"General Awareness","stem":"The Flamingo Festival 2025 was organised from January 18 to 20 at which location?","stemHi":"फ्लेमिंगो महोत्सव (Flamingo Festival) 2025 का आयोजन 18 से 20 जनवरी तक किस स्थान पर किया गया था?","context":null,"contextHi":null,"options":[{"key":"a","text":"Visakhapatnam","textHi":"विशाखापत्तनम","imageUrl":null},{"key":"b","text":"Tirupati","textHi":"तिरुपति","imageUrl":null},{"key":"c","text":"Dehradun","textHi":"देहरादून","imageUrl":null},{"key":"d","text":"Amritsar","textHi":"अमृतसर","imageUrl":null}],"correct":"b","sol":"Flamingo Festival 2025\nThe Flamingo Festival 2025 was held from January 18 to 20 in the Tirupati district of Andhra Pradesh.\nIts venues were spread over Sullurpeta, the Nelapattu Bird Sanctuary and Pulicat Lake, the wetlands to which flamingos and other migratory birds fly in every winter.\nThe festival was revived after a gap of four years and is used to push eco-tourism and wetland conservation in the region.\nHence option (b) is correct.","solHi":"फ्लेमिंगो महोत्सव 2025\nफ्लेमिंगो महोत्सव 2025 का आयोजन 18 से 20 जनवरी तक आंध्र प्रदेश के तिरुपति जिले में किया गया था।\nइसके आयोजन-स्थल सुल्लुरपेटा, नेलापट्टु पक्षी अभयारण्य तथा पुलिकट झील में फैले थे — ये वही आर्द्रभूमियाँ हैं जहाँ प्रत्येक शीत ऋतु में फ्लेमिंगो तथा अन्य प्रवासी पक्षी आते हैं।\nचार वर्ष के अंतराल के बाद इस महोत्सव को पुनः आरंभ किया गया और इसका उद्देश्य क्षेत्र में पर्यावरण-पर्यटन तथा आर्द्रभूमि संरक्षण को बढ़ावा देना है।\nअतः सही विकल्प (b) है।","pos":2,"neg":0.5},{"id":11785,"n":85,"subject":"General Awareness","stem":"The Government of India has set a target of achieving 140 GW of wind power capacity by which year?","stemHi":"भारत सरकार ने किस वर्ष तक 140 GW पवन ऊर्जा क्षमता प्राप्त करने का लक्ष्य निर्धारित किया है?","context":null,"contextHi":null,"options":[{"key":"a","text":"2025","textHi":null,"imageUrl":null},{"key":"b","text":"2028","textHi":null,"imageUrl":null},{"key":"c","text":"2030","textHi":null,"imageUrl":null},{"key":"d","text":"2047","textHi":null,"imageUrl":null}],"correct":"c","sol":"Wind power capacity target\nIndia has committed to 500 GW of non-fossil fuel electricity capacity by 2030, a pledge made at the COP26 summit in Glasgow.\nInside that 500 GW basket the target fixed for wind power is 140 GW, the rest coming largely from solar, hydro, biomass and nuclear.\nThe push is backed by steps such as the National Wind-Solar Hybrid Policy and the National Offshore Wind Energy Policy, and forms part of the road to net-zero emissions by 2070.\nHence option (c) is correct.","solHi":"पवन ऊर्जा क्षमता लक्ष्य\nभारत ने ग्लासगो में हुए COP26 शिखर सम्मेलन में 2030 तक 500 GW गैर-जीवाश्म ईंधन विद्युत क्षमता प्राप्त करने की प्रतिबद्धता व्यक्त की है।\nइसी 500 GW के भीतर पवन ऊर्जा के लिए निर्धारित लक्ष्य 140 GW है; शेष क्षमता मुख्यतः सौर, जल, बायोमास तथा नाभिकीय स्रोतों से आनी है।\nइस प्रयास को राष्ट्रीय पवन-सौर हाइब्रिड नीति तथा राष्ट्रीय अपतटीय पवन ऊर्जा नीति जैसे कदमों का सहारा है और यह 2070 तक नेट-ज़ीरो उत्सर्जन के मार्ग का भाग है।\nअतः सही विकल्प (c) है।","pos":2,"neg":0.5},{"id":11786,"n":86,"subject":"General Awareness","stem":"Geostationary orbit satellites travel at an approximate speed of

____

km per second.","stemHi":"भूस्थिर कक्षा (geostationary orbit) के उपग्रह लगभग

____

किमी प्रति सेकंड की चाल से चलते हैं।","context":null,"contextHi":null,"options":[{"key":"a","text":"12","textHi":null,"imageUrl":null},{"key":"b","text":"3","textHi":null,"imageUrl":null},{"key":"c","text":"20","textHi":null,"imageUrl":null},{"key":"d","text":"8","textHi":null,"imageUrl":null}],"correct":"b","sol":"$55","solHi":"$56","pos":2,"neg":0.5},{"id":11787,"n":87,"subject":"General Awareness","stem":"Consider the effect of forces on the motion of an object:\nI. Unbalanced forces can change the speed or direction of motion.\nII. Balanced forces are responsible for producing acceleration.\nWhich of the above statements is/are correct?","stemHi":"किसी वस्तु की गति पर बलों के प्रभाव पर विचार कीजिए:\nI. असंतुलित बल गति की चाल अथवा दिशा को बदल सकते हैं।\nII. संतुलित बल त्वरण उत्पन्न करने के लिए उत्तरदायी होते हैं।\nउपर्युक्त कथनों में से कौन-सा/से सही है/हैं?","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":"a","sol":"$57","solHi":"$58","pos":2,"neg":0.5},{"id":11788,"n":88,"subject":"General Awareness","stem":"The 'Pralay' missile, developed by DRDO, was successfully tested in July 2025 from which launch location?","stemHi":"DRDO द्वारा विकसित 'प्रलय' (Pralay) मिसाइल का जुलाई 2025 में किस प्रक्षेपण स्थल से सफल परीक्षण किया गया था?","context":null,"contextHi":null,"options":[{"key":"a","text":"Andaman Islands","textHi":"अंडमान द्वीप समूह","imageUrl":null},{"key":"b","text":"Kalpeni Island","textHi":"कलपेनी द्वीप","imageUrl":null},{"key":"c","text":"Car Nicobar Island","textHi":"कार निकोबार द्वीप","imageUrl":null},{"key":"d","text":"Dr. APJ Abdul Kalam Island","textHi":"डॉ. ए.पी.जे. अब्दुल कलाम द्वीप","imageUrl":null}],"correct":"d","sol":"Pralay missile test\nIn July 2025 the DRDO carried out successful back-to-back flight tests of the 'Pralay' missile from Dr. APJ Abdul Kalam Island off the Odisha coast.\nThis island, earlier called Wheeler Island, is the integrated test range used for almost all Indian missile trials.\nPralay is a short-range, surface-to-surface, quasi-ballistic missile with a range of about 150-500 km, meant for tactical use on the battlefield.\nHence option (d) is correct.","solHi":"प्रलय मिसाइल परीक्षण\nजुलाई 2025 में DRDO ने ओडिशा तट के निकट स्थित डॉ. ए.पी.जे. अब्दुल कलाम द्वीप से 'प्रलय' मिसाइल के लगातार सफल उड़ान परीक्षण किए।\nपहले व्हीलर द्वीप कहलाने वाला यह द्वीप एकीकृत परीक्षण रेंज है, जहाँ से भारत के लगभग सभी मिसाइल परीक्षण किए जाते हैं।\nप्रलय लगभग 150-500 km मारक क्षमता वाली अल्प दूरी की, धरातल-से-धरातल मार करने वाली अर्ध-बैलिस्टिक (quasi-ballistic) मिसाइल है, जो रणक्षेत्र में सामरिक उपयोग हेतु बनाई गई है।\nअतः सही विकल्प (d) है।","pos":2,"neg":0.5},{"id":11789,"n":89,"subject":"General Awareness","stem":"The period between 1713 and 1719 in Mughal history is marked by political instability and dominance of court nobles. Who was the emperor during this phase?","stemHi":"मुगल इतिहास में 1713 से 1719 के बीच का काल राजनीतिक अस्थिरता तथा दरबारी अमीरों के प्रभुत्व के लिए जाना जाता है। इस काल में सम्राट कौन था?","context":null,"contextHi":null,"options":[{"key":"a","text":"Bahadur Shah I","textHi":"बहादुर शाह प्रथम","imageUrl":null},{"key":"b","text":"Rafi-ud-Darajat","textHi":"रफी-उद-दरजात","imageUrl":null},{"key":"c","text":"Farrukh Siyar","textHi":"फर्रुखसियर","imageUrl":null},{"key":"d","text":"Alamgir II","textHi":"आलमगीर द्वितीय","imageUrl":null}],"correct":"c","sol":"Later Mughal emperors\nFarrukh Siyar sat on the Mughal throne from 1713 to 1719, the years named in the question.\n $\"figure\"/$ \nHe owed the throne to the Sayyid brothers, Abdullah Khan and Hussain Ali Khan, who came to be called the 'king makers' and kept the emperor a puppet in their hands.\nIt was in his reign that the English East India Company obtained the farman of 1717 allowing duty-free trade in Bengal.\nThe Sayyid brothers deposed and killed him in 1719, which shows how far imperial authority had already sunk.\nHence option (c) is correct.","solHi":"उत्तरकालीन मुगल सम्राट\nप्रश्न में दिए गए वर्षों, 1713 से 1719 तक, मुगल सिंहासन पर फर्रुखसियर बैठा था।\n $\"figure\"/$ \nवह सिंहासन के लिए सैयद बंधुओं — अब्दुल्ला खाँ तथा हुसैन अली खाँ — का ऋणी था, जो आगे चलकर 'राजा बनाने वाले' (king makers) कहलाए और सम्राट को अपने हाथों की कठपुतली बनाए रखा।\nउसी के शासनकाल में अंग्रेज़ ईस्ट इंडिया कंपनी को 1717 का फरमान मिला, जिससे बंगाल में उसे कर-मुक्त व्यापार की अनुमति मिली।\n1719 में सैयद बंधुओं ने उसे अपदस्थ कर मार डाला, जिससे स्पष्ट है कि शाही सत्ता कितनी क्षीण हो चुकी थी।\nअतः सही विकल्प (c) है।","pos":2,"neg":0.5},{"id":11790,"n":90,"subject":"General Awareness","stem":"Which military strategy was most commonly used by Shivaji against his opponents?","stemHi":"शिवाजी द्वारा अपने विरोधियों के विरुद्ध सर्वाधिक प्रयोग में लाई गई सैन्य रणनीति कौन-सी थी?","context":null,"contextHi":null,"options":[{"key":"a","text":"Cavalry-based open warfare","textHi":"अश्वारोही सेना आधारित खुला युद्ध","imageUrl":null},{"key":"b","text":"Elephant corps warfare","textHi":"गजसेना (हाथी दल) आधारित युद्ध","imageUrl":null},{"key":"c","text":"Guerrilla warfare","textHi":"छापामार युद्ध","imageUrl":null},{"key":"d","text":"Naval blockades","textHi":"नौसैनिक नाकाबंदी","imageUrl":null}],"correct":"c","sol":"Shivaji's war strategy\nChhatrapati Shivaji Maharaj is best known for guerrilla warfare, called Ganimi Kava in Marathi.\nHis enemies, the Mughals and the Bijapur Sultanate, had far larger armies, so instead of pitched battles he used light, fast-moving cavalry for surprise raids and ambushes in the hilly Sahyadri country he knew well.\nCutting supply lines, striking at night and withdrawing into hill forts made his small force very hard to defeat.\nHe did build a navy and used elephants and cavalry too, but those were supporting arms, not his usual method.\nHence option (c) is correct.","solHi":"शिवाजी की युद्ध-नीति\nछत्रपति शिवाजी महाराज छापामार युद्ध के लिए प्रसिद्ध हैं, जिसे मराठी में 'गनिमी कावा' कहा जाता है।\nउनके शत्रु — मुगल तथा बीजापुर सल्तनत — कहीं बड़ी सेनाएँ रखते थे, इसलिए आमने-सामने के युद्ध के स्थान पर वे सहयाद्रि के पहाड़ी क्षेत्र में, जिसे वे भली-भाँति जानते थे, हल्की और तीव्रगामी अश्वारोही टुकड़ियों से अचानक आक्रमण एवं घात लगाकर हमला करते थे।\nरसद-मार्ग काटना, रात्रि में प्रहार करना और पहाड़ी दुर्गों में लौट जाना — इस रीति ने उनकी छोटी सेना को पराजित करना अत्यंत कठिन बना दिया।\nउन्होंने नौसेना भी बनाई तथा हाथी एवं घुड़सवार सेना का भी प्रयोग किया, किंतु वे सहायक अंग थे, उनकी सामान्य रणनीति नहीं।\nअतः सही विकल्प (c) है।","pos":2,"neg":0.5},{"id":11791,"n":91,"subject":"General Awareness","stem":"The National Stock Exchange (NSE) introduced trading in Index Options based on the Nifty 50 on June 4 of which year?","stemHi":"नेशनल स्टॉक एक्सचेंज (NSE) ने निफ्टी 50 पर आधारित इंडेक्स ऑप्शंस में कारोबार 4 जून को किस वर्ष आरंभ किया था?","context":null,"contextHi":null,"options":[{"key":"a","text":"1999","textHi":null,"imageUrl":null},{"key":"b","text":"2001","textHi":null,"imageUrl":null},{"key":"c","text":"2004","textHi":null,"imageUrl":null},{"key":"d","text":"2006","textHi":null,"imageUrl":null}],"correct":"b","sol":"NSE derivatives milestones\nThe NSE started trading in Index Options based on the Nifty 50 on June 4, 2001.\n $\"figure\"/$ \nThe derivatives segment had opened a year earlier with index futures in June 2000, and options on single stocks followed in July 2001.\nThese products gave Indian investors their first proper tools for hedging and risk management.\nHence option (b) is correct.","solHi":"NSE डेरिवेटिव के पड़ाव\nNSE ने निफ्टी 50 पर आधारित इंडेक्स ऑप्शंस में कारोबार 4 जून, 2001 को आरंभ किया था।\n $\"figure\"/$ \nडेरिवेटिव खंड की शुरुआत इससे एक वर्ष पूर्व जून 2000 में इंडेक्स फ्यूचर्स से हुई थी और जुलाई 2001 में एकल शेयरों पर ऑप्शंस आए।\nइन उत्पादों ने भारतीय निवेशकों को हेजिंग तथा जोखिम-प्रबंधन के पहले वास्तविक साधन उपलब्ध कराए।\nअतः सही विकल्प (b) है।","pos":2,"neg":0.5},{"id":11792,"n":92,"subject":"General Awareness","stem":"The Hill Area Development Programme (HADP) was initiated during which Five-Year Plan in India?","stemHi":"भारत में पर्वतीय क्षेत्र विकास कार्यक्रम (Hill Area Development Programme - HADP) किस पंचवर्षीय योजना के दौरान आरंभ किया गया था?","context":null,"contextHi":null,"options":[{"key":"a","text":"4th","textHi":"चौथी","imageUrl":null},{"key":"b","text":"5th","textHi":"पाँचवीं","imageUrl":null},{"key":"c","text":"6th","textHi":"छठी","imageUrl":null},{"key":"d","text":"7th","textHi":"सातवीं","imageUrl":null}],"correct":"b","sol":"Hill Area Development Programme\nThe Hill Area Development Programme was taken up in the Fifth Five-Year Plan (1974-79).\n $\"figure\"/$ \nIt was one of a set of area-based programmes of that Plan meant to cut down regional imbalance; the Western Ghats Development Programme and the Tribal Sub-Plan also date from the same Plan.\nHADP covered designated hill districts and worked on horticulture, animal husbandry, forestry and road links while guarding the fragile hill ecology.\nHence option (b) is correct.","solHi":"पर्वतीय क्षेत्र विकास कार्यक्रम\nपर्वतीय क्षेत्र विकास कार्यक्रम पाँचवीं पंचवर्षीय योजना (1974-79) में आरंभ किया गया था।\n $\"figure\"/$ \nयह उसी योजना के उन क्षेत्र-आधारित कार्यक्रमों में से एक था जिनका उद्देश्य क्षेत्रीय असंतुलन घटाना था; पश्चिमी घाट विकास कार्यक्रम तथा जनजातीय उप-योजना भी इसी योजना से आरंभ हुए।\nHADP अधिसूचित पर्वतीय जिलों में लागू हुआ और इसमें बागवानी, पशुपालन, वानिकी तथा सड़क-संपर्क पर बल दिया गया, साथ ही संवेदनशील पर्वतीय पारिस्थितिकी की रक्षा की गई।\nअतः सही विकल्प (b) है।","pos":2,"neg":0.5},{"id":11793,"n":93,"subject":"General Awareness","stem":"The AGMARK certification mark in India is used for which category of products?","stemHi":"भारत में एगमार्क (AGMARK) प्रमाणन चिह्न किस श्रेणी के उत्पादों के लिए प्रयोग किया जाता है?","context":null,"contextHi":null,"options":[{"key":"a","text":"Industrial machinery","textHi":"औद्योगिक मशीनरी","imageUrl":null},{"key":"b","text":"Pharmaceutical goods","textHi":"औषधीय उत्पाद","imageUrl":null},{"key":"c","text":"Agricultural products","textHi":"कृषि उत्पाद","imageUrl":null},{"key":"d","text":"Banking instruments","textHi":"बैंकिंग लिखत","imageUrl":null}],"correct":"c","sol":"AGMARK certification\nAGMARK is the quality mark used in India for agricultural produce.\nIt rests on the Agricultural Produce (Grading and Marking) Act, 1937, and is granted by the Directorate of Marketing and Inspection (DMI) under the Ministry of Agriculture after laboratory testing.\nIt now covers more than 200 commodities such as pulses, cereals, spices, honey, ghee and vegetable oils.\nIndustrial goods carry the ISI mark of the BIS instead, so the other options do not fit.\nHence option (c) is correct.","solHi":"एगमार्क प्रमाणन\nएगमार्क भारत में कृषि उपज के लिए प्रयुक्त गुणवत्ता चिह्न है।\nयह कृषि उपज (श्रेणीकरण एवं चिह्नांकन) अधिनियम, 1937 पर आधारित है तथा प्रयोगशाला परीक्षण के बाद कृषि मंत्रालय के अधीन विपणन एवं निरीक्षण निदेशालय (DMI) द्वारा प्रदान किया जाता है।\nवर्तमान में यह दालों, अनाजों, मसालों, शहद, घी तथा वनस्पति तेलों जैसी 200 से अधिक वस्तुओं पर लागू होता है।\nऔद्योगिक वस्तुओं पर इसके स्थान पर BIS का ISI चिह्न लगता है, अतः शेष विकल्प उपयुक्त नहीं हैं।\nअतः सही विकल्प (c) है।","pos":2,"neg":0.5},{"id":11794,"n":94,"subject":"General Awareness","stem":"The first complete census of an Indian city was conducted in which year?","stemHi":"किसी भारतीय नगर की पहली पूर्ण जनगणना किस वर्ष कराई गई थी?","context":null,"contextHi":null,"options":[{"key":"a","text":"1830","textHi":null,"imageUrl":null},{"key":"b","text":"1815","textHi":null,"imageUrl":null},{"key":"c","text":"1845","textHi":null,"imageUrl":null},{"key":"d","text":"1825","textHi":null,"imageUrl":null}],"correct":"a","sol":"First city census in India\nThe first complete census of an Indian city was taken in 1830 by Henry Walter at Dacca (present-day Dhaka).\nHead counts had been attempted earlier at Allahabad in 1824 and at Banaras in 1827-28, but they were partial.\nThe Dacca exercise is called complete because it recorded the people by sex, by age group and by caste-occupation, and also noted the kind of houses they lived in.\nRegular all-India decennial censuses began much later, in 1881, under Lord Ripon.\nHence option (a) is correct.","solHi":"भारत की पहली नगर जनगणना\nकिसी भारतीय नगर की पहली पूर्ण जनगणना 1830 में हेनरी वाल्टर द्वारा ढाका (वर्तमान ढाका) में कराई गई थी।\nइससे पूर्व 1824 में इलाहाबाद तथा 1827-28 में बनारस में जनगणना के प्रयास हुए थे, किंतु वे आंशिक थे।\nढाका की गणना को पूर्ण इसलिए कहा जाता है क्योंकि इसमें जनसंख्या को लिंग, आयु-वर्ग तथा जाति-व्यवसाय के अनुसार दर्ज किया गया और लोगों के आवासों का स्वरूप भी अंकित किया गया।\nनियमित अखिल भारतीय दशकीय जनगणना बहुत बाद में, 1881 में लॉर्ड रिपन के काल में आरंभ हुई।\nअतः सही विकल्प (a) है।","pos":2,"neg":0.5},{"id":11795,"n":95,"subject":"General Awareness","stem":"In India, the Socio-Economic and Caste Census (SECC) 2011 was conducted by which of the following authorities?\nI. Ministry of Rural Development\nII. Ministry of Housing and Urban Affairs","stemHi":"भारत में सामाजिक-आर्थिक एवं जाति जनगणना (SECC) 2011 निम्नलिखित में से किस प्राधिकरण द्वारा कराई गई थी?\nI. ग्रामीण विकास मंत्रालय\nII. आवासन एवं शहरी कार्य मंत्रालय","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":"SECC 2011 conducting bodies\nThe SECC 2011 was not run by one ministry alone; the work was split by area.\n $\"figure\"/$ \nThe Ministry of Rural Development carried it out in rural areas, while urban areas were covered by the Ministry of Housing and Urban Poverty Alleviation, now merged into the Ministry of Housing and Urban Affairs.\nThe caste part was handled by the Ministry of Home Affairs through the Registrar General and Census Commissioner of India.\nBoth statements I and II are therefore correct, so option (c) is correct.","solHi":"SECC 2011 की संचालक संस्थाएँ\nSECC 2011 किसी एक मंत्रालय द्वारा नहीं कराई गई थी; कार्य क्षेत्र के आधार पर बाँटा गया था।\n $\"figure\"/$ \nग्रामीण क्षेत्रों में यह ग्रामीण विकास मंत्रालय द्वारा कराई गई, जबकि शहरी क्षेत्रों का कार्य आवासन एवं शहरी गरीबी उपशमन मंत्रालय ने किया, जो अब आवासन एवं शहरी कार्य मंत्रालय में सम्मिलित है।\nजाति से संबंधित भाग गृह मंत्रालय ने भारत के महापंजीयक एवं जनगणना आयुक्त के माध्यम से देखा।\nअतः कथन I तथा II दोनों सही हैं और सही विकल्प (c) है।","pos":2,"neg":0.5},{"id":11796,"n":96,"subject":"General Awareness","stem":"During British rule in India, caste data was regularly collected in decennial censuses starting from 1881 up to which year?","stemHi":"भारत में ब्रिटिश शासन के दौरान दशकीय जनगणनाओं में जाति संबंधी आँकड़े 1881 से लेकर किस वर्ष तक नियमित रूप से एकत्र किए जाते रहे?","context":null,"contextHi":null,"options":[{"key":"a","text":"1921","textHi":null,"imageUrl":null},{"key":"b","text":"1941","textHi":null,"imageUrl":null},{"key":"c","text":"1931","textHi":null,"imageUrl":null},{"key":"d","text":"1971","textHi":null,"imageUrl":null}],"correct":"c","sol":"Caste data in colonial census\nCaste was recorded in every decennial census from 1881 down to 1931, so 1931 is the last census whose full caste tables were published.\n $\"figure\"/$ \nIn 1941 the enumeration was cut short and the caste tables were not brought out, mainly because of the strain of the Second World War.\nAfter independence the government decided to count only the Scheduled Castes and Scheduled Tribes, which is why 1931 figures were used for decades in debates on backward classes.\nHence option (c) is correct.","solHi":"औपनिवेशिक जनगणना में जाति आँकड़े\n1881 से 1931 तक की प्रत्येक दशकीय जनगणना में जाति दर्ज की जाती थी, अतः 1931 वह अंतिम जनगणना है जिसकी पूर्ण जाति-सारणियाँ प्रकाशित हुईं।\n $\"figure\"/$ \n1941 में गणना संक्षिप्त कर दी गई और जाति-सारणियाँ प्रकाशित नहीं की गईं, जिसका मुख्य कारण द्वितीय विश्वयुद्ध का दबाव था।\nस्वतंत्रता के बाद सरकार ने केवल अनुसूचित जातियों तथा अनुसूचित जनजातियों की गणना करने का निर्णय लिया, इसीलिए पिछड़े वर्गों संबंधी चर्चाओं में दशकों तक 1931 के आँकड़े ही प्रयोग होते रहे।\nअतः सही विकल्प (c) है।","pos":2,"neg":0.5},{"id":11797,"n":97,"subject":"General Awareness","stem":"Which of the following tax reforms has amalgamated a large number of central and state taxes and cesses in India?","stemHi":"निम्नलिखित में से किस कर सुधार ने भारत में बड़ी संख्या में केंद्रीय एवं राज्य करों तथा उपकरों को एक में समाहित कर दिया है?","context":null,"contextHi":null,"options":[{"key":"a","text":"Goods and Services Tax","textHi":"वस्तु एवं सेवा कर","imageUrl":null},{"key":"b","text":"Customs duty","textHi":"सीमा शुल्क","imageUrl":null},{"key":"c","text":"Minimum Alternate Tax","textHi":"न्यूनतम वैकल्पिक कर","imageUrl":null},{"key":"d","text":"Corporate tax","textHi":"निगम कर","imageUrl":null}],"correct":"a","sol":"Goods and Services Tax\nThe Goods and Services Tax, in force from July 1, 2017 under the 101st Constitutional Amendment, merged a large number of central and state indirect taxes and cesses into one levy.\n $\"figure\"/$ \nBy allowing input tax credit across the chain it removed the cascading 'tax on tax' and turned India into one common market.\nCustoms duty stayed outside GST, while minimum alternate tax and corporate tax are direct taxes on income and amalgamate nothing.\nHence option (a) is correct.","solHi":"वस्तु एवं सेवा कर\n101वें संविधान संशोधन के अंतर्गत 1 जुलाई, 2017 से लागू वस्तु एवं सेवा कर ने बड़ी संख्या में केंद्रीय तथा राज्य अप्रत्यक्ष करों एवं उपकरों को एक ही कर में समाहित कर दिया।\n $\"figure\"/$ \nपूरी शृंखला में इनपुट टैक्स क्रेडिट की सुविधा देकर इसने 'कर पर कर' के व्यापक प्रभाव को समाप्त किया और भारत को एक साझा बाज़ार बना दिया।\nसीमा शुल्क GST से बाहर रखा गया, जबकि न्यूनतम वैकल्पिक कर तथा निगम कर आय पर लगने वाले प्रत्यक्ष कर हैं और वे किसी कर को समाहित नहीं करते।\nअतः सही विकल्प (a) है।","pos":2,"neg":0.5},{"id":11798,"n":98,"subject":"General Awareness","stem":"Which ancient Sanskrit grammarian is believed to have lived during the time of the Nanda dynasty?","stemHi":"माना जाता है कि प्राचीन संस्कृत का कौन-सा वैयाकरण नंद वंश के समय में हुआ था?","context":null,"contextHi":null,"options":[{"key":"a","text":"Bhasa","textHi":"भास","imageUrl":null},{"key":"b","text":"Varahamihira","textHi":"वराहमिहिर","imageUrl":null},{"key":"c","text":"Panini","textHi":"पाणिनि","imageUrl":null},{"key":"d","text":"Bharavi","textHi":"भारवि","imageUrl":null}],"correct":"c","sol":"Panini and the Nandas\nPanini, the author of the Ashtadhyayi, is the grammarian traditionally placed in the age of the Nanda dynasty of Magadha, around the 4th century BCE.\nThe Kathasaritsagara and later tradition link him with the Nanda court, where Vararuchi and the minister Sakatala are also placed.\nThe Ashtadhyayi sets out Sanskrit grammar in about 4,000 sutras and is the earliest surviving work of its kind anywhere.\nOf the others, Bhasa and Bharavi were poets and dramatists and Varahamihira an astronomer of the Gupta age, so none of them fits.\nHence option (c) is correct.","solHi":"पाणिनि और नंद वंश\nअष्टाध्यायी के रचयिता पाणिनि वही वैयाकरण हैं जिन्हें परंपरा मगध के नंद वंश के काल में, लगभग चौथी शताब्दी ईसा पूर्व में, रखती है।\nकथासरित्सागर तथा परवर्ती परंपरा उन्हें नंद दरबार से जोड़ती है, जहाँ वररुचि तथा मंत्री शकटाल का भी उल्लेख मिलता है।\nअष्टाध्यायी में लगभग 4,000 सूत्रों में संस्कृत का व्याकरण निबद्ध है और यह अपने प्रकार की विश्व में उपलब्ध सबसे प्राचीन कृति है।\nशेष में भास तथा भारवि कवि-नाटककार थे और वराहमिहिर गुप्तकालीन ज्योतिर्विद थे, अतः उनमें से कोई उपयुक्त नहीं है।\nअतः सही विकल्प (c) है।","pos":2,"neg":0.5},{"id":11799,"n":99,"subject":"General Awareness","stem":"According to early Indian tradition, the hymns of the Rigveda and other Vedas were composed and transmitted by:","stemHi":"प्रारंभिक भारतीय परंपरा के अनुसार, ऋग्वेद तथा अन्य वेदों की ऋचाओं की रचना एवं उनका संचरण किनके द्वारा किया गया था?","context":null,"contextHi":null,"options":[{"key":"a","text":"Tribal chiefs","textHi":"कबीलाई सरदारों द्वारा","imageUrl":null},{"key":"b","text":"Court poets","textHi":"दरबारी कवियों द्वारा","imageUrl":null},{"key":"c","text":"Monastic teachers","textHi":"मठवासी आचार्यों द्वारा","imageUrl":null},{"key":"d","text":"Rishis and Rishikas","textHi":"ऋषियों एवं ऋषिकाओं द्वारा","imageUrl":null}],"correct":"d","sol":"Composers of Vedic hymns\nTradition holds that the Vedic hymns were 'seen' by seers — the Rishis, and women seers called Rishikas such as Lopamudra, Ghosha, Apala and Vishvavara.\nThat is why the Vedas are classed as Shruti, 'that which is heard', and not as the composition of ordinary authors.\nThey were carried forward for centuries by an exact oral tradition of recitation before being written down.\nCourt poets and monastic teachers belong to much later periods, so those options do not fit.\nHence option (d) is correct.","solHi":"वैदिक ऋचाओं के रचयिता\nपरंपरा के अनुसार वैदिक ऋचाएँ ऋषियों को तथा लोपामुद्रा, घोषा, अपाला एवं विश्ववारा जैसी ऋषिकाओं को 'दृष्ट' हुईं।\nइसी कारण वेदों को श्रुति अर्थात् 'जो सुना गया' कहा जाता है, न कि सामान्य रचयिताओं की कृति।\nलिखे जाने से पूर्व शताब्दियों तक इनका संरक्षण अत्यंत सटीक मौखिक पाठ-परंपरा द्वारा हुआ।\nदरबारी कवि तथा मठवासी आचार्य बहुत बाद के काल से संबंधित हैं, अतः वे विकल्प उपयुक्त नहीं हैं।\nअतः सही विकल्प (d) है।","pos":2,"neg":0.5},{"id":11800,"n":100,"subject":"General Awareness","stem":"Consider the following features of early Indian society and philosophy:\nI. The varna system formed the basis of social organisation in the Vedic period.\nII. The concept of four Ashramas was an integral part of early Hindu thought.\nWhich of the above statements is/are correct?","stemHi":"प्रारंभिक भारतीय समाज एवं दर्शन की निम्नलिखित विशेषताओं पर विचार कीजिए:\nI. वैदिक काल में वर्ण व्यवस्था सामाजिक संगठन का आधार थी।\nII. चार आश्रमों की अवधारणा प्रारंभिक हिंदू चिंतन का अभिन्न अंग थी।\nउपर्युक्त कथनों में से कौन-सा/से सही है/हैं?","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":"Varna and Ashrama system\nStatement I: the varna order — Brahmana, Kshatriya, Vaishya and Shudra — is first named in the Purusha Sukta of the tenth mandala of the Rigveda and became the frame of Vedic society, so it is correct.\nStatement II: the four ashramas — Brahmacharya, Grihastha, Vanaprastha and Sannyasa — divide a life into stages of study, household duty, retreat and renunciation, and are laid down in the Dharmasutras and Dharmashastras as part of early Hindu thought, so it is correct too.\n $\"figure\"/$ \nTaken together the two schemes make up Varnashrama Dharma, the standard framework of duty in early India.\nBoth statements are right, so option (c) is correct.","solHi":"वर्ण एवं आश्रम व्यवस्था\nकथन I: वर्ण व्यवस्था — ब्राह्मण, क्षत्रिय, वैश्य तथा शूद्र — का सर्वप्रथम उल्लेख ऋग्वेद के दसवें मंडल के पुरुष सूक्त में मिलता है और यही वैदिक समाज का ढाँचा बनी, अतः यह सही है।\nकथन II: चार आश्रम — ब्रह्मचर्य, गृहस्थ, वानप्रस्थ तथा संन्यास — जीवन को अध्ययन, गृहस्थ-कर्तव्य, निवृत्ति एवं त्याग की अवस्थाओं में बाँटते हैं तथा धर्मसूत्रों एवं धर्मशास्त्रों में प्रारंभिक हिंदू चिंतन के अंग के रूप में वर्णित हैं, अतः यह भी सही है।\n $\"figure\"/$ \nदोनों व्यवस्थाएँ मिलकर वर्णाश्रम धर्म बनाती हैं, जो प्रारंभिक भारत में कर्तव्य का प्रचलित ढाँचा था।\nदोनों कथन सही हैं, अतः सही विकल्प (c) है।","pos":2,"neg":0.5}],"test":{"slug":"ssc-chsl-tier-1--21-nov-2025-shift-3","title":"SSC CHSL Tier-1 21 November 2025 Shift-3 Previous Year Paper","examName":"CHSL Tier-1","paperLabel":"21 November 2025 · Shift 3","sectionSubject":null,"durationMinutes":60,"format":"full_test"}}]