28:I[81166,["/_next/static/immutable/chunks/2corl6wyj4669.js","/_next/static/immutable/chunks/38n271cv4vmyv.js","/_next/static/immutable/chunks/2pf73jja2520w.js"],"default"] 29:T5ef,Number series The multiplier alternates between 3 and 4, and 4 is added every time.

7 \times 3 + 4 = 25

25 \times 4 + 4 = 104

104 \times 3 + 4 = 316

So the missing term

= 316 \times 4 + 4 = 1264 + 4 = 1268

The pattern continues:

1268 \times 3 + 4 = 3808

3808 \times 4 + 4 = 15236

15236 \times 3 + 4 = 45712

. Hence the correct option is (b).2a:T69c,संख्या शृंखला गुणक बारी-बारी से 3 और 4 होता है, तथा हर बार 4 जोड़ा जाता है।

7 \times 3 + 4 = 25

25 \times 4 + 4 = 104

104 \times 3 + 4 = 316

अतः लुप्त पद

= 316 \times 4 + 4 = 1264 + 4 = 1268

यही क्रम आगे भी चलता है:

1268 \times 3 + 4 = 3808

3808 \times 4 + 4 = 15236

15236 \times 3 + 4 = 45712

। अतः सही विकल्प (b) है।2b:T4d2,Number series Here the multiplier alternates between 3 and 4, and 5 is added every time.

4 \times 3 + 5 = 12 + 5 = 17

So the missing term

= 17 \times 4 + 5 = 68 + 5 = 73

Verify with the later terms:

73 \times 3 + 5 = 224

224 \times 4 + 5 = 901

901 \times 3 + 5 = 2708

. Hence the correct option is (b).2c:T587,संख्या शृंखला यहाँ गुणक बारी-बारी से 3 और 4 होता है, तथा हर बार 5 जोड़ा जाता है।

4 \times 3 + 5 = 12 + 5 = 17

अतः लुप्त पद

= 17 \times 4 + 5 = 68 + 5 = 73

आगे के पदों से जाँच कीजिए:

73 \times 3 + 5 = 224

224 \times 4 + 5 = 901

901 \times 3 + 5 = 2708

। अतः सही विकल्प (b) है।2d:T468,Mathematical operations Find what the symbol # does: multiply the two numbers and then multiply the product by 4.

(15 \times 20) \times 4 = 300 \times 4 = 1200

(5 \times 40) \times 4 = 200 \times 4 = 800

Both given results agree, so apply the same rule to 25 # 30.

(25 \times 30) \times 4 = 750 \times 4 = 3000

Hence the correct option is (a).2e:T5a7,गणितीय संक्रियाएँ पहले ज्ञात कीजिए कि चिह्न # क्या करता है: दोनों संख्याओं का गुणनफल निकालिए और फिर उसे 4 से गुणा कीजिए।

(15 \times 20) \times 4 = 300 \times 4 = 1200

(5 \times 40) \times 4 = 200 \times 4 = 800

दोनों दिए गए परिणाम सही आते हैं, अतः यही नियम 25 # 30 पर लागू कीजिए।

(25 \times 30) \times 4 = 750 \times 4 = 3000

अतः सही विकल्प (a) है।2f:T4f8,Mathematical operations The rule joining the three numbers is: first number - (second number

\times

third number).

650 - (5 \times 12) = 650 - 60 = 590

820 - (35 \times 25) = 820 - 875 = - 55

Both given values match, so apply the same rule to the last expression with 945, 6 and 8.

945 - (6 \times 8) = 945 - 48 = 897

Hence the correct option is (b).30:T620,गणितीय संक्रियाएँ तीनों संख्याओं को जोड़ने वाला नियम है: पहली संख्या - (दूसरी संख्या

\times

तीसरी संख्या)।

650 - (5 \times 12) = 650 - 60 = 590

820 - (35 \times 25) = 820 - 875 = - 55

दोनों दिए गए मान सही आते हैं, अतः यही नियम अंतिम व्यंजक पर 945, 6 और 8 के साथ लागू कीजिए।

945 - (6 \times 8) = 945 - 48 = 897

अतः सही विकल्प (b) है।31:T474,Sign interchange Every

\times

in the expression becomes - and every - becomes

\times

18 \times 8 - 24 \div 4 + 12

becomes

18 - 8 \times 24 \div 4 + 12

. By BODMAS, division and multiplication come first:

8 \times 24 \div 4 = 8 \times 6 = 48

. Now 18-48+12=-30+12=-18. Hence, option (c) is the most appropriate answer.32:T56e,चिह्न परिवर्तन व्यंजक में प्रत्येक

\times

के स्थान पर - तथा प्रत्येक - के स्थान पर

\times

आ जाएगा।

अतः

18 \times 8 - 24 \div 4 + 12

बदलकर

18 - 8 \times 24 \div 4 + 12

हो जाता है। BODMAS के अनुसार पहले भाग तथा गुणा कीजिए:

8 \times 24 \div 4 = 8 \times 6 = 48

। अब 18-48+12=-30+12=-18। इसलिए सही विकल्प (c) है।33:T587,Letter coding Write the alphabetical position of each letter of the word and of its code and compare them place by place.

C (3) \to I (9)

is +6,

P (16) \to W (23)

is +7,

E (5) \to K (11)

is +6 and

T (20) \to A

is +7 (after Z the counting starts again at A). TLJQ obeys the very same pattern, which confirms the rule +6,+7,+6,+7.

For CPXM: C+6=I, P+7=W, X(24)+6=30-26=4=D and M(13)+7=20=T. Hence, option (b) IWDT is the most appropriate answer.34:T6fe,अक्षर कूट शब्द तथा उसके कूट के प्रत्येक अक्षर का वर्णमाला-क्रमांक लिखकर स्थान-दर-स्थान तुलना कीजिए।

C (3) \to I (9)

में +6,

P (16) \to W (23)

में +7,

E (5) \to K (11)

में +6 तथा

T (20) \to A

में +7 है (Z के बाद गिनती पुनः A से आरंभ होती है)। TLJQ भी ठीक इसी नियम का पालन करता है, जिससे +6,+7,+6,+7 का नियम पुष्ट हो जाता है।

CPXM के लिए: C+6=I, P+7=W, X(24)+6=30-26=4=D तथा M(13)+7=20=T। इसलिए सही विकल्प (b) IWDT है।35:T5a8,Letter coding Compare the positions of the letters of the word with those of its code, place by place.

R (18) \to N (14)

is -4,

S (19) \to N (14)

is -5,

N (14) \to J (10)

is -4 and

V (22) \to Q (17)

is -5. GDHQ follows the same rule - G-4=C, D-5=Y (before A the counting continues from Z), H-4=D, Q-5=L.

For ONRG: O(15)-4=11=K, N(14)-5=9=I, R(18)-4=14=N and G(7)-5=2=B. Hence, option (b) KINB is the most appropriate answer.36:T6f8,अक्षर कूट शब्द के अक्षरों के क्रमांकों की उसके कूट के अक्षरों के क्रमांकों से स्थान-दर-स्थान तुलना कीजिए।

R (18) \to N (14)

में -4,

S (19) \to N (14)

में -5,

N (14) \to J (10)

में -4 तथा

V (22) \to Q (17)

में -5 है। GDHQ भी इसी नियम का पालन करता है - G-4=C, D-5=Y (A से पहले गिनती Z से आगे चलती है), H-4=D, Q-5=L।

ONRG के लिए: O(15)-4=11=K, N(14)-5=9=I, R(18)-4=14=N तथा G(7)-5=2=B। इसलिए सही विकल्प (b) KINB है।37:T6fa,Letter-number series Treat the two letters and the number of each term separately. Letters: each letter goes 5 steps back -

O (15) \to J (10)

K (11) \to F (6)

J \to E

F \to A

, and before A the counting continues from Z. So after Z(26) and V(22) come 26-5=21=U and 22-5=17=Q. Numbers:

34 \times 4 = 136

136 \times 4 = 544

544 \times 4 = 2176

, so the next number is

2176 \times 4 = 8704

The missing term is therefore UQ8704. Hence, option (c) is the most appropriate answer.38:T868,अक्षर-संख्या शृंखला प्रत्येक पद के दो अक्षरों तथा संख्या पर अलग-अलग विचार कीजिए। अक्षर: प्रत्येक अक्षर 5 स्थान पीछे जाता है -

O (15) \to J (10)

K (11) \to F (6)

J \to E

F \to A

, तथा A से पहले गिनती Z से आगे चलती है। अतः Z(26) तथा V(22) के बाद 26-5=21=U और 22-5=17=Q आते हैं। संख्याएँ:

34 \times 4 = 136

136 \times 4 = 544

544 \times 4 = 2176

, अतः अगली संख्या

2176 \times 4 = 8704

होगी।

अतः अभीष्ट पद UQ8704 है। इसलिए सही विकल्प (c) है।39:T7a5,Letter-number series Study the first letter, the second letter and the number of each term separately. First letters:

N (14) \to Q (17) \to T (20) \to W (23)

, a jump of +3 each time, so the next one is 23+3=26=Z. Second letters:

X (24) \to T (20) \to P (16) \to L (12)

, a jump of -4 each time, so the next one is 12-4=8=H. Numbers:

32 \times 3 + 1 = 97

97 \times 3 + 1 = 292

292 \times 3 + 1 = 877

, so the next number is

877 \times 3 + 1 = 2632

The missing term is therefore ZH2632. Hence, option (b) is the most appropriate answer.3a:T90e,अक्षर-संख्या शृंखला प्रत्येक पद के पहले अक्षर, दूसरे अक्षर तथा संख्या पर अलग-अलग विचार कीजिए। पहले अक्षर:

N (14) \to Q (17) \to T (20) \to W (23)

, हर बार +3 की छलांग, अतः अगला अक्षर 23+3=26=Z होगा। दूसरे अक्षर:

X (24) \to T (20) \to P (16) \to L (12)

, हर बार -4 की छलांग, अतः अगला अक्षर 12-4=8=H होगा। संख्याएँ:

32 \times 3 + 1 = 97

97 \times 3 + 1 = 292

292 \times 3 + 1 = 877

, अतः अगली संख्या

877 \times 3 + 1 = 2632

होगी।

अतः अभीष्ट पद ZH2632 है। इसलिए सही विकल्प (b) है।3b:T45a,Cone surface area For a right circular cone of radius r and slant height l: curved surface area

= π r l

and area of the base

= π r^{2}

Given:

π r l = 2 \times π r^{2}

Cancel

π r

from both sides (as

r \neq 0

): l=2r. Hence, option (c) is the most appropriate answer.3c:T5b0,शंकु का पृष्ठीय क्षेत्रफल त्रिज्या r तथा तिर्यक ऊँचाई l वाले लंब वृत्तीय शंकु के लिए: वक्र पृष्ठीय क्षेत्रफल

= π r l

तथा आधार का क्षेत्रफल

= π r^{2}

होता है।

दिया गया है:

π r l = 2 \times π r^{2}

दोनों पक्षों से

π r

काटने पर (क्योंकि

r \neq 0

): l=2r। इसलिए सही विकल्प (c) है।3d:T624,Percentage change in area The surface area of a hemisphere is

3 π r^{2}

, so the area is proportional to

r^{2}

whatever formula for a hemisphere is used. Let the old radius be r and the new radius be R; a rise of 69% makes the new area 169 for an old area of 100.

\frac{R^{2}}{r^{2}} = \frac{169}{100}

\frac{R}{r} = \frac{13}{10}

Increase in radius

= \frac{13 - 10}{10} \times 100 = 30 %

. Hence, option (b) is the most appropriate answer.3e:T7c0,क्षेत्रफल में प्रतिशत परिवर्तन अर्धगोले का पृष्ठीय क्षेत्रफल

3 π r^{2}

होता है, अतः अर्धगोले का जो भी सूत्र लिया जाए, क्षेत्रफल

r^{2}

के अनुक्रमानुपाती रहता है। माना कि पुरानी त्रिज्या r तथा नई त्रिज्या R है; 69% की वृद्धि से 100 का क्षेत्रफल 169 हो जाता है।

\frac{R^{2}}{r^{2}} = \frac{169}{100}

\frac{R}{r} = \frac{13}{10}

त्रिज्या में वृद्धि

= \frac{13 - 10}{10} \times 100 = 30 %

। इसलिए सही विकल्प (b) है।3f:T6c5,Surface area of pyramid Total surface area of a pyramid = area of the base + lateral surface area. The base is an isosceles triangle with sides 26 cm, 26 cm and 20 cm; its altitude falls on the mid-point of the 20 cm side.

Altitude

= \sqrt{26^{2} - 10^{2}} = \sqrt{676 - 100} = \sqrt{576} = 24

cm. Area of the base

= \frac{1}{2} \times 20 \times 24 = 240

sq. cm. Perimeter of the base =26+26+20=72 cm. Lateral surface area

= \frac{1}{2} \times

perimeter of base

\times

slant height

= \frac{1}{2} \times 72 \times 35 = 1260

sq. cm. Total surface area =1260+240=1500 sq. cm. Hence, option (a) is the most appropriate answer.40:T928,पिरामिड का पृष्ठीय क्षेत्रफल पिरामिड का कुल पृष्ठीय क्षेत्रफल = आधार का क्षेत्रफल + पार्श्व पृष्ठीय क्षेत्रफल। आधार एक समद्विबाहु त्रिभुज है जिसकी भुजाएँ 26 cm, 26 cm तथा 20 cm हैं; इसका शीर्षलंब 20 cm वाली भुजा के मध्य-बिंदु पर गिरता है।

शीर्षलंब

= \sqrt{26^{2} - 10^{2}} = \sqrt{676 - 100} = \sqrt{576} = 24

cm। आधार का क्षेत्रफल

= \frac{1}{2} \times 20 \times 24 = 240

वर्ग cm। आधार का परिमाप =26+26+20=72 cm। पार्श्व पृष्ठीय क्षेत्रफल

= \frac{1}{2} \times

आधार का परिमाप

\times

तिर्यक ऊँचाई

= \frac{1}{2} \times 72 \times 35 = 1260

वर्ग cm। कुल पृष्ठीय क्षेत्रफल =1260+240=1500 वर्ग cm। इसलिए सही विकल्प (a) है।41:T431,Slant height of pyramid Stacking the second pyramid changes nothing inside a single pyramid, so work with one pyramid only. In a right pyramid the vertical height, half of a base side and the slant height form a right-angled triangle.

Half of the base side

= \frac{10}{2} = 5

cm and the height is 12 cm. Slant height

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

=13 cm. Hence, option (d) is the most appropriate answer.42:T5e8,पिरामिड की तिर्यक ऊँचाई दूसरा पिरामिड रखने से किसी एक पिरामिड के भीतर कुछ नहीं बदलता, अतः केवल एक ही पिरामिड पर कार्य कीजिए। सम लंब पिरामिड में लंब ऊँचाई, आधार की भुजा का आधा भाग तथा तिर्यक ऊँचाई मिलकर एक समकोण त्रिभुज बनाते हैं।

आधार की भुजा का आधा

= \frac{10}{2} = 5

cm तथा ऊँचाई 12 cm है। तिर्यक ऊँचाई

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

=13 cm। इसलिए सही विकल्प (d) है।43:T5c2,Trigonometric ratios

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

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

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

\cos θ = \frac{base}{hypotenuse} = \frac{7 k}{25 k} = \frac{7}{25}

Hence, option (b) is the most appropriate answer.44:T63e,त्रिकोणमितीय अनुपात

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

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

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

।

\cos θ = \frac{आधार}{कर्ण} = \frac{7 k}{25 k} = \frac{7}{25}

इसलिए सही विकल्प (b) है।45:T5aa,Partnership profit share In a partnership the profit is shared in the ratio of (capital

\times

time) of each partner. K stays for the whole year:

5000 \times 12 = 60000

L joins after 3 months, so his money works for 9 months:

7000 \times 9 = 63000

M joins after 6 months, so his money works for 6 months:

9000 \times 6 = 54000

K:L:M=60000:63000:54000=20:21:18

Total parts =20+21+18=59, and these 59 parts stand for ₹2,360. One part

= \frac{2360}{59} = 40

Share of M

= 18 \times 40 = 720

, i.e. ₹720. Hence the correct option is (c).46:T761,साझेदारी में लाभ-विभाजन साझेदारी में लाभ प्रत्येक साझेदार के (पूँजी

\times

समय) के अनुपात में बाँटा जाता है। K पूरे वर्ष रहता है:

5000 \times 12 = 60000

L 3 महीने बाद जुड़ता है, अतः उसका धन 9 महीने लगा रहता है:

7000 \times 9 = 63000

M 6 महीने बाद जुड़ता है, अतः उसका धन 6 महीने लगा रहता है:

9000 \times 6 = 54000

K:L:M=60000:63000:54000=20:21:18

कुल भाग =20+21+18=59, और ये 59 भाग ₹2,360 के बराबर हैं। एक भाग

= \frac{2360}{59} = 40

M का हिस्सा

= 18 \times 40 = 720

, अर्थात् ₹720। अतः सही विकल्प (c) है।47:T5bb,Radian to degree A straight angle is

π

radians

= 180^{\circ}

, so 1 radian

= \frac{180^{\circ}}{π}

. Degree measure

= \frac{5 π}{2} \times \frac{180^{\circ}}{π}

The

π

cancels:

= \frac{5 \times 180^{\circ}}{2} = 5 \times 90^{\circ}

= 450^{\circ}

Hence the correct option is (c).48:T643,रेडियन से डिग्री एक ऋजु कोण

π

रेडियन

= 180^{\circ}

होता है, अतः 1 रेडियन

= \frac{180^{\circ}}{π}

। डिग्री माप

= \frac{5 π}{2} \times \frac{180^{\circ}}{π}

π

कट जाता है:

= \frac{5 \times 180^{\circ}}{2} = 5 \times 90^{\circ}

= 450^{\circ}

अतः सही विकल्प (c) है।49:T4b3,Alternate-day work Take the total work as the LCM of 20 and 30, i.e. 60 units. K's one day work

= \frac{60}{20} = 3

units and L's one day work

= \frac{60}{30} = 2

units. They work on alternate days, so every pair of days (K then L) finishes 3+2=5 units.

Number of such pairs needed

= \frac{60}{5} = 12

, and the work ends exactly at the end of a pair. Total time

= 12 \times 2 = 24

days Hence the correct option is (d).4a:T6a0,एकांतर दिनों में कार्य कुल कार्य को 20 और 30 का ल.स. अर्थात् 60 इकाई मान लीजिए। K का एक दिन का कार्य

= \frac{60}{20} = 3

इकाई तथा L का एक दिन का कार्य

= \frac{60}{30} = 2

इकाई है। वे एकांतर दिनों में कार्य करते हैं, अतः प्रत्येक दो दिन (पहले K, फिर L) में 3+2=5 इकाई कार्य होता है।

ऐसे युग्मों की संख्या

= \frac{60}{5} = 12

, और कार्य ठीक एक युग्म के अंत में समाप्त होता है। कुल समय

= 12 \times 2 = 24

दिन अतः सही विकल्प (d) है।4b:T4d2,Cone total surface area For a right circular cone, total surface area

= π r (r + l)

, where r is the radius and l the slant height.

\frac{22}{7} \times 7 \times (7 + l) = 396

22 (7 + l) = 396

7 + l = \frac{396}{22} = 18

l=18-7=11 So the slant height is 11 cm. Hence the correct option is (b).4c:T5e5,शंकु का संपूर्ण पृष्ठीय क्षेत्रफल लंब वृत्तीय शंकु के लिए संपूर्ण पृष्ठीय क्षेत्रफल

= π r (r + l)

होता है, जहाँ r त्रिज्या और l तिर्यक ऊँचाई है।

\frac{22}{7} \times 7 \times (7 + l) = 396

22 (7 + l) = 396

7 + l = \frac{396}{22} = 18

l=18-7=11 अतः तिर्यक ऊँचाई 11 cm है। अतः सही विकल्प (b) है।4d:T46b,Algebraic identity Use the identity

{(x - y)}^{2} = x^{2} + y^{2} - 2 x y

. Rearranging it gives

x^{2} + y^{2} = {(x - y)}^{2} + 2 x y

= {(5)}^{2} + 2 \times 36

=25+72=97 Hence the correct option is (d).4e:T52f,बीजीय सर्वसमिका सर्वसमिका

{(x - y)}^{2} = x^{2} + y^{2} - 2 x y

का प्रयोग कीजिए। इसे पुनर्व्यवस्थित करने पर

x^{2} + y^{2} = {(x - y)}^{2} + 2 x y

प्राप्त होता है।

= {(5)}^{2} + 2 \times 36

=25+72=97 अतः सही विकल्प (d) है।4f:T755,Mixture of milk and water Let the original mixture hold m litres of milk and w litres of water. Adding 10 litres of water leaves the milk unchanged, and milk is then

40 %

\frac{m}{m + w + 10} = \frac{40}{100} \Rightarrow 5 m = 2 (m + w + 10) \Rightarrow 3 m = 2 w + 20

…(i) Next 10 litres of milk are added and milk becomes

50 %

, i.e. milk equals water:

\frac{m + 10}{m + w + 20} = \frac{1}{2} \Rightarrow 2 m + 20 = m + w + 20 \Rightarrow m = w

…(ii) Putting w=m in (i):

3 m = 2 m + 20 \Rightarrow m = 20

, so w=20.

Required ratio of water to milk =20:20=1:1 Hence the correct option is (c).50:T8fb,दूध और पानी का मिश्रण माना कि मूल मिश्रण में m लीटर दूध और w लीटर पानी है। 10 लीटर पानी मिलाने पर दूध की मात्रा अपरिवर्तित रहती है और दूध

40 %

हो जाता है:

\frac{m}{m + w + 10} = \frac{40}{100} \Rightarrow 5 m = 2 (m + w + 10) \Rightarrow 3 m = 2 w + 20

…(i) इसके बाद 10 लीटर दूध मिलाने पर दूध

50 %

हो जाता है, अर्थात् दूध और पानी बराबर हो जाते हैं:

\frac{m + 10}{m + w + 20} = \frac{1}{2} \Rightarrow 2 m + 20 = m + w + 20 \Rightarrow m = w

…(ii) (i) में w=m रखने पर:

3 m = 2 m + 20 \Rightarrow m = 20

, अतः w=20।

अभीष्ट अनुपात, पानी : दूध =20:20=1:1 अतः सही विकल्प (c) है।51:T61f,Area of a circular ring Inner radius r=35 m, and the outer embankment is 7 m wider, so R=35+7=42 m.

Area of the ring

= π R^{2} - π r^{2} = π (R^{2} - r^{2})

= \frac{22}{7} \times (42^{2} - 35^{2}) = \frac{22}{7} \times (1764 - 1225)

= \frac{22}{7} \times 539 = 22 \times 77

=1694 So the region between the two embankments measures 1694 sq m. Hence the correct option is (b).52:T718,वृत्ताकार वलय का क्षेत्रफल भीतरी त्रिज्या r=35 m है, और बाहरी बाँध 7 m अधिक चौड़ा है, अतः R=35+7=42 m।

वलय का क्षेत्रफल

= π R^{2} - π r^{2} = π (R^{2} - r^{2})

= \frac{22}{7} \times (42^{2} - 35^{2}) = \frac{22}{7} \times (1764 - 1225)

= \frac{22}{7} \times 539 = 22 \times 77

=1694 अतः दोनों बाँधों के बीच का क्षेत्र 1694 वर्ग मीटर है। अतः सही विकल्प (b) है।53:T874,Algebraic identity Factorise:

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

Adding the two given equations:

2 a = 5 + 3 = 8 \Rightarrow a = 4

Subtracting them:

2 b = 5 - 3 = 2 \Rightarrow b = 1

a^{2} + b^{2} = 4^{2} + 1^{2} = 16 + 1 = 17

a^{4} - b^{4} = 5 \times 3 \times 17 = 255

Hence the correct option is (a).54:T912,बीजीय सर्वसमिका गुणनखंड कीजिए:

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

दोनों दिए गए समीकरणों को जोड़ने पर:

2 a = 5 + 3 = 8 \Rightarrow a = 4

उन्हें घटाने पर:

2 b = 5 - 3 = 2 \Rightarrow b = 1

a^{2} + b^{2} = 4^{2} + 1^{2} = 16 + 1 = 17

a^{4} - b^{4} = 5 \times 3 \times 17 = 255

अतः सही विकल्प (a) है।55:Tc5c,Trigonometric identity Simplify the surd first by multiplying inside by

(1 + \sin θ)

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

For the fraction, multiply numerator and denominator by

(\sin θ + \cos θ + 1)

. Numerator

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

Denominator

= (\sin θ - \cos θ + 1) (\sin θ + \cos θ + 1) = 2 \sin θ (1 + \sin θ)

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

Now multiply the two simplified parts:

\frac{\cos θ}{1 + \sin θ} \times \frac{1 + \sin θ}{\cos θ} = 1

Hence the correct option is (a).56:Td64,त्रिकोणमितीय सर्वसमिका पहले करणी को सरल कीजिए, अंश और हर दोनों में

(1 + \sin θ)

से गुणा करके:

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

भिन्न के लिए, अंश और हर को

(\sin θ + \cos θ + 1)

से गुणा कीजिए। अंश

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

हर

= (\sin θ - \cos θ + 1) (\sin θ + \cos θ + 1) = 2 \sin θ (1 + \sin θ)

अतः

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

अब दोनों सरलीकृत भागों का गुणा कीजिए:

\frac{\cos θ}{1 + \sin θ} \times \frac{1 + \sin θ}{\cos θ} = 1

अतः सही विकल्प (a) है।57:T931,Time, speed and distance Let the usual speed be S km/h. The journey of 300 km takes

2 \frac{1}{2} = \frac{5}{2}

hours less when the speed becomes (S+20) km/h.

\frac{300}{S} - \frac{300}{S + 20} = \frac{5}{2}

300 \times \frac{(S + 20) - S}{S (S + 20)} = \frac{5}{2} \Rightarrow \frac{300 \times 20}{S (S + 20)} = \frac{5}{2}

S (S + 20) = \frac{6000 \times 2}{5} = 2400

S^{2} + 20 S - 2400 = 0 \Rightarrow (S + 60) (S - 40) = 0

Speed cannot be negative, so the usual speed is S=40 km/h. Time to cover 192 km at the usual speed

= \frac{192}{40} = 4.8

hours. Hence the correct option is (a).58:Ta28,समय, चाल और दूरी माना सामान्य चाल S km/h है। चाल (S+20) km/h होने पर 300 km की यात्रा में

2 \frac{1}{2} = \frac{5}{2}

घंटे कम लगते हैं।

\frac{300}{S} - \frac{300}{S + 20} = \frac{5}{2}

300 \times \frac{(S + 20) - S}{S (S + 20)} = \frac{5}{2} \Rightarrow \frac{300 \times 20}{S (S + 20)} = \frac{5}{2}

S (S + 20) = \frac{6000 \times 2}{5} = 2400

S^{2} + 20 S - 2400 = 0 \Rightarrow (S + 60) (S - 40) = 0

चाल ऋणात्मक नहीं हो सकती, अतः सामान्य चाल S=40 km/h है। सामान्य चाल से 192 km तय करने में समय

= \frac{192}{40} = 4.8

घंटे। अतः सही विकल्प (a) है।59:Tdf9,Simplification by BODMAS Change the mixed numbers to improper fractions:

6 \frac{1}{4} = \frac{25}{4}

1 \frac{2}{7} = \frac{9}{7}

11 \frac{1}{4} = \frac{45}{4}

. Inside the bracket 'of' is done first:

\frac{2}{5}

\frac{25}{4} = \frac{2 \times 25}{5 \times 4} = \frac{5}{2}

Then the division:

\frac{5}{2} \div \frac{3}{7} = \frac{5}{2} \times \frac{7}{3} = \frac{35}{6}

Now take 'of'

1 \frac{2}{7}

\frac{35}{6} \times \frac{9}{7} = \frac{315}{42} = \frac{15}{2}

Divide by

11 \frac{1}{4}

\frac{15}{2} \div \frac{45}{4} = \frac{15}{2} \times \frac{4}{45} = \frac{2}{3}

x is the square of this number, so

x = {(\frac{2}{3})}^{2} = \frac{4}{9}

81 x = 81 \times \frac{4}{9} = 9 \times 4 = 36

Hence the correct option is (a).5a:Ted5,BODMAS द्वारा सरलीकरण मिश्र संख्याओं को विषम भिन्न में बदलिए:

6 \frac{1}{4} = \frac{25}{4}

1 \frac{2}{7} = \frac{9}{7}

11 \frac{1}{4} = \frac{45}{4}

। कोष्ठक के भीतर पहले 'का' (of) हल कीजिए:

\frac{2}{5}

का

\frac{25}{4} = \frac{2 \times 25}{5 \times 4} = \frac{5}{2}

फिर भाग:

\frac{5}{2} \div \frac{3}{7} = \frac{5}{2} \times \frac{7}{3} = \frac{35}{6}

अब

1 \frac{2}{7}

का लीजिए:

\frac{35}{6} \times \frac{9}{7} = \frac{315}{42} = \frac{15}{2}

11 \frac{1}{4}

से भाग दीजिए:

\frac{15}{2} \div \frac{45}{4} = \frac{15}{2} \times \frac{4}{45} = \frac{2}{3}

x इस संख्या का वर्ग है, अतः

x = {(\frac{2}{3})}^{2} = \frac{4}{9}

।

81 x = 81 \times \frac{4}{9} = 9 \times 4 = 36

अतः सही विकल्प (a) है।5b:T776,Compound interest principal For compound interest, amount

= P {(1 + \frac{r}{100})}^{n}

. Dividing the 5-year amount by the 3-year amount kills P and leaves two years of growth:

{(1 + \frac{r}{100})}^{2} = \frac{16105.09}{13310} = 1.21

1 + \frac{r}{100} = \sqrt{1.21} = 1.1

, so

r = 10 %

Now use the 3-year amount:

13310 = P \times {(1.1)}^{3} = P \times 1.331

P = \frac{13310}{1.331} = 10000

So the sum is ₹10,000. Hence the correct option is (d).5c:T8dc,चक्रवृद्धि ब्याज: मूलधन चक्रवृद्धि ब्याज में मिश्रधन

= P {(1 + \frac{r}{100})}^{n}

होता है। 5 वर्ष के मिश्रधन को 3 वर्ष के मिश्रधन से भाग देने पर P कट जाता है और केवल दो वर्ष की वृद्धि बचती है:

{(1 + \frac{r}{100})}^{2} = \frac{16105.09}{13310} = 1.21

1 + \frac{r}{100} = \sqrt{1.21} = 1.1

, अतः

r = 10 %

।

अब 3 वर्ष का मिश्रधन लीजिए:

13310 = P \times {(1.1)}^{3} = P \times 1.331

P = \frac{13310}{1.331} = 10000

अतः मूलधन ₹10,000 है। अतः सही विकल्प (d) है।5d:T48c,Marked price and discount Everything is compared with the discount, so let the discount be ₹100. Marked price

= 120 %

of the discount

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

Selling price = marked price - discount =120-100=20

Required percentage

= \frac{MP}{SP} \times 100 = \frac{120}{20} \times 100

= 6 \times 100 = 600 %

Hence the correct option is (a).5e:T41e,Buoyancy and Archimedes By Archimedes' principle the buoyant force equals the weight of the fluid displaced, so

F_{B} = ρ V g

, where

ρ

is the density of the fluid, V the volume of the body immersed and g the acceleration due to gravity. The only property of the fluid in that formula is

ρ

: a denser fluid displaced by the same volume weighs more and therefore pushes up harder. That is why a ship floats higher in sea water than in river water, and why an iron nail sinks in water but floats in mercury. Colour and refractive index are optical properties, and pressure only varies with depth because of the density, so none of them is the deciding factor. Hence option (b) is correct.5f:T477,CAM photosynthesis Desert plants follow Crassulacean Acid Metabolism (CAM): their stomata stay shut through the hot day and open only at night, so carbon dioxide can be taken in only after dark.

The

C O_{2}

absorbed at night is fixed by the enzyme PEP carboxylase into oxaloacetate and stored in the vacuole as malic acid. By day the malic acid is broken down and the

C O_{2}

released inside the leaf enters the Calvin cycle, so photosynthesis goes on with the stomata still closed. Separating gas exchange (night) from photosynthesis (day) is what saves water and lets cactus, Opuntia, Agave and pineapple survive arid heat. So statement II alone is true, and option (b) is correct.60:T8ee,CAM प्रकाश संश्लेषण मरुस्थलीय पौधे क्रैसुलेसियन अम्ल उपापचय (CAM) अपनाते हैं: उनके रंध्र दिन की गर्मी में बंद रहते हैं और केवल रात्रि में खुलते हैं, अतः कार्बन डाइऑक्साइड का अवशोषण अँधेरे के बाद ही हो पाता है।

रात्रि में अवशोषित

C O_{2}

को PEP कार्बोक्सिलेज़ एंजाइम ऑक्सैलोऐसीटेट में स्थिरीकृत कर देता है और यह रसधानी में मैलिक अम्ल के रूप में संचित रहता है। दिन में मैलिक अम्ल का विघटन होता है तथा पत्ती के भीतर मुक्त हुआ

C O_{2}

कैल्विन चक्र में प्रवेश कर जाता है, अतः रंध्र बंद रहते हुए भी प्रकाश संश्लेषण चलता रहता है। गैस विनिमय (रात्रि) तथा प्रकाश संश्लेषण (दिन) को अलग-अलग समय में बाँटने से ही जल की बचत होती है और नागफनी, Opuntia, Agave तथा अनानास शुष्क गर्मी में जीवित रह पाते हैं। अतः केवल कथन II सत्य है और सही विकल्प (b) है।1e:["$","$L28",null,{"mode":"practice","dropped":0,"bilingual":true,"choiceSubjects":[],"questions":[{"id":7501,"n":1,"subject":"English Language","stem":"Choose the correct word from the options given showing a synonym of the word below.\nReticent","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"Talkative","textHi":null,"imageUrl":null},{"key":"b","text":"Reserved","textHi":null,"imageUrl":null},{"key":"c","text":"Garrulous","textHi":null,"imageUrl":null},{"key":"d","text":"Loquacious","textHi":null,"imageUrl":null}],"correct":"b","sol":"Synonym\n'Reticent' means unwilling to speak freely; a reticent person holds his thoughts and feelings back.\n'Reserved' - keeping one's feelings and opinions to oneself - carries exactly that sense of restraint, so it is the synonym.\n'Talkative', 'Garrulous' and 'Loquacious' all mean fond of talking a great deal, so all three are antonyms of the given word.\nHence option (b) is correct.","solHi":null,"pos":2,"neg":0.5},{"id":7502,"n":2,"subject":"English Language","stem":"Choose the option that has an error in the sentence.\nNowadays, academic pressure makes students devote too much times resting.","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"Nowadays, academic pressure","textHi":null,"imageUrl":null},{"key":"b","text":"makes students devote","textHi":null,"imageUrl":null},{"key":"c","text":"too much times resting.","textHi":null,"imageUrl":null},{"key":"d","text":"No correction required","textHi":null,"imageUrl":null}],"correct":"c","sol":"Countable-uncountable noun\nIn the sense of duration, 'time' is an uncountable noun, so it takes 'much' and stays singular.\nThe plural 'times' is used only for the number of occasions - 'three times a week' - which is not the meaning here.\nSo 'devote too much times resting' must read 'devote too much time resting'.\nThe faulty part is therefore option (c).","solHi":null,"pos":2,"neg":0.5},{"id":7503,"n":3,"subject":"English Language","stem":"Identify the incorrect sentence.","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"He damage his health by eating too much junk food every day.","textHi":null,"imageUrl":null},{"key":"b","text":"Most people do not like being interrupted while they are studying.","textHi":null,"imageUrl":null},{"key":"c","text":"For a long time, people believed that the earth was round.","textHi":null,"imageUrl":null},{"key":"d","text":"You need a lot of money to buy luxury brands. Everything there is very costly.","textHi":null,"imageUrl":null}],"correct":"a","sol":"Subject-verb agreement\nIn the simple present a singular subject takes the -s form of the verb.\nOption (a) has the singular subject 'He' with the bare verb 'damage'; with 'every day' it should be 'He damages his health'.\nThe other three sentences are grammatically sound - 'being interrupted' is a correct passive gerund and 'believed that the earth was round' keeps the reported verb in the past.\nHence the incorrect sentence is option (a).","solHi":null,"pos":2,"neg":0.5},{"id":7504,"n":4,"subject":"English Language","stem":"Fill in the blank with the most appropriate option:\nThe resolution was approved with

____

support, uniting members across the committee.","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"partisan","textHi":null,"imageUrl":null},{"key":"b","text":"unanimous","textHi":null,"imageUrl":null},{"key":"c","text":"perfunctory","textHi":null,"imageUrl":null},{"key":"d","text":"nominal","textHi":null,"imageUrl":null}],"correct":"b","sol":"Contextual vocabulary\nThe clue lies in 'uniting members across the committee' - every member was in agreement.\n'Unanimous' means agreed to by every single person concerned, which fits the blank exactly.\n'Partisan' means one-sided or biased, 'perfunctory' means done carelessly as a mere formality, and 'nominal' means in name only - none of them expresses full agreement.\nHence option (b) is correct.","solHi":null,"pos":2,"neg":0.5},{"id":7505,"n":5,"subject":"English Language","stem":"Correct the homonym in the sentence.\nSentence: She is the only hair to the property.\nCorrect word:

____

","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"Hare","textHi":null,"imageUrl":null},{"key":"b","text":"Heir","textHi":null,"imageUrl":null},{"key":"c","text":"Hire","textHi":null,"imageUrl":null},{"key":"d","text":"Hier","textHi":null,"imageUrl":null}],"correct":"b","sol":"Homophones\n'Hair' (the strands that grow on the head) and 'heir' (a person who inherits) sound alike but differ in meaning.\nThe sentence speaks of a claim to property, so the word needed is 'heir'.\n'Hare' is an animal, 'hire' means to employ or take on rent, and 'Hier' is not an English word at all.\nHence option (b) is correct.","solHi":null,"pos":2,"neg":0.5},{"id":7506,"n":6,"subject":"English Language","stem":"Select the incorrect spelling.","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"Hurricane","textHi":null,"imageUrl":null},{"key":"b","text":"Enviorment","textHi":null,"imageUrl":null},{"key":"c","text":"Atmosphere","textHi":null,"imageUrl":null},{"key":"d","text":"Storm","textHi":null,"imageUrl":null}],"correct":"b","sol":"Spelling\nThe correct spelling is 'Environment' - e-n-v-i-r-o-n-m-e-n-t.\nThe option writes it as 'Enviorment': the letters 'ron' have been turned into 'or' and one 'n' is missing.\n'Hurricane', 'Atmosphere' and 'Storm' are all spelt correctly.\nHence the incorrectly spelt word is option (b).","solHi":null,"pos":2,"neg":0.5},{"id":7507,"n":7,"subject":"English Language","stem":"Choose the best option to replace the underlined part to improve the given sentence. If no substitution is required, select No substitution.\nThe van was loaded in boxes of medical supplies for the hospital.","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"loaded with","textHi":null,"imageUrl":null},{"key":"b","text":"loaded from","textHi":null,"imageUrl":null},{"key":"c","text":"loaded into","textHi":null,"imageUrl":null},{"key":"d","text":"No substitution","textHi":null,"imageUrl":null}],"correct":"a","sol":"Preposition with 'load'\nWhen the container is the subject, 'load' is followed by 'with' before the thing that fills it - the van was loaded with boxes.\n'Load into' works the other way round, with the goods as the subject - the boxes were loaded into the van.\nHere the subject is 'The van', so 'loaded in' must become 'loaded with'; 'loaded from' would wrongly show a source.\nHence option (a) is correct.","solHi":null,"pos":2,"neg":0.5},{"id":7508,"n":8,"subject":"English Language","stem":"Choose the best option to replace the underlined part to improve the given sentence. If no substitution is required, select No substitution.\nShe was blamed with leaking sensitive information.","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"blamed by","textHi":null,"imageUrl":null},{"key":"b","text":"accused of","textHi":null,"imageUrl":null},{"key":"c","text":"convicted to","textHi":null,"imageUrl":null},{"key":"d","text":"No substitution","textHi":null,"imageUrl":null}],"correct":"b","sol":"Verb-preposition collocation\n'Blame' is followed by 'for' before the offence - blamed for leaking - and never by 'with', so the underlined phrase is wrong.\nThe verb 'accuse' always takes the fixed preposition 'of' before the offence: accused of leaking sensitive information.\n'Convict' also takes 'of', not 'to', so option (c) is faulty as well, and (a) 'blamed by' would point to the person doing the blaming.\nHence option (b) is correct.","solHi":null,"pos":2,"neg":0.5},{"id":7509,"n":9,"subject":"English Language","stem":"Choose the correct passive voice transformation of the sentence: The workers will have completed the task by evening.","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"The task will have being completed by the workers by evening.","textHi":null,"imageUrl":null},{"key":"b","text":"The task would have been completed by the workers by evening.","textHi":null,"imageUrl":null},{"key":"c","text":"The task will be completed by the workers by evening.","textHi":null,"imageUrl":null},{"key":"d","text":"The task will have been completed by the workers by evening.","textHi":null,"imageUrl":null}],"correct":"d","sol":"Future perfect passive\n'The workers will have completed the task' is in the future perfect: will have + V3.\nThe passive of the future perfect is formed by inserting 'been' - will have been + V3.\n $\"figure\"/$ \nSo the object 'the task' becomes the subject: The task will have been completed by the workers by evening.\nOption (a) puts 'being' after 'have', (b) replaces 'will' with 'would', and (c) drops the perfect aspect altogether.\nHence option (d) is correct.","solHi":null,"pos":2,"neg":0.5},{"id":7510,"n":10,"subject":"English Language","stem":"Choose the correct indirect narration of the following statement from the given alternatives: He said to me, "I am going to start working on the project from next week until my colleague finishes his part.","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"He told me that he is going to start working on the project from the next week until his colleague finishes his part.","textHi":null,"imageUrl":null},{"key":"b","text":"He told me that he was going to start working on the project from the following week until his colleague finished his part.","textHi":null,"imageUrl":null},{"key":"c","text":"He told me that they were going to start working on the project from the following week until his colleague finished his part.","textHi":null,"imageUrl":null},{"key":"d","text":"He told me that he was going to start working on the project from the next week until my colleague finished his part.","textHi":null,"imageUrl":null}],"correct":"b","sol":"Direct to indirect speech\nThe reporting verb 'said to me' becomes 'told me', and 'that' replaces the quotation marks.\nThe reporting verb is in the past, so the tenses move one step back: 'am going' becomes 'was going' and 'finishes' becomes 'finished'.\nThe pronouns of the speaker change from first to third person: 'I' becomes 'he' and 'my colleague' becomes 'his colleague'.\nThe time expression 'next week' becomes 'the following week'.\nOption (a) keeps the present tense, (c) turns 'he' into 'they', and (d) keeps 'next week' and 'my colleague'.\nOnly option (b) makes every change correctly, so it is the answer.","solHi":null,"pos":2,"neg":0.5},{"id":7511,"n":11,"subject":"English Language","stem":"Change the following sentence into the Active form:\nThe new novel was published by a famous author.","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"A famous author published the new novel.","textHi":null,"imageUrl":null},{"key":"b","text":"The new novel publishes a famous author.","textHi":null,"imageUrl":null},{"key":"c","text":"A famous author has published the new novel.","textHi":null,"imageUrl":null},{"key":"d","text":"The new novel was being published by a famous author.","textHi":null,"imageUrl":null}],"correct":"a","sol":"Passive to active voice\nIn the passive sentence the agent after 'by' - 'a famous author' - becomes the subject of the active sentence.\n'Was published' is the simple past passive, so the active verb is the simple past 'published'.\nThe passive subject 'the new novel' becomes the object: A famous author published the new novel.\nOption (c) shifts the tense to the present perfect and (d) is still passive, so option (a) is correct.","solHi":null,"pos":2,"neg":0.5},{"id":7512,"n":12,"subject":"English Language","stem":"Choose the option that is the most appropriate conversion of the following sentence into Direct Speech:\nThe teacher advised the students not to ignore their homework.","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"The teacher advises the students, "Don't ignore your homework."","textHi":null,"imageUrl":null},{"key":"b","text":"The teacher told the students, "You should not ignore your homework."","textHi":null,"imageUrl":null},{"key":"c","text":"The teacher said to the students, "Do not ignore your homework."","textHi":null,"imageUrl":null},{"key":"d","text":"The teacher advised, 'The students must not ignore their homework.*","textHi":null,"imageUrl":null}],"correct":"c","sol":"Indirect to direct speech\nThe indirect sentence reports an order or advice, so inside the quotation marks direct speech needs an imperative.\n'advised the students not to ignore' therefore becomes the negative imperative 'Do not ignore', and 'their homework' becomes 'your homework'.\nThe reporting verb must stay in the past and must be followed by the listener: 'The teacher said to the students, ...'.\nOption (a) shifts the reporting verb to the present 'advises', (b) turns the order into a mere suggestion with 'should', and (d) keeps the reported form 'The students must not ignore their homework' inside the quotes.\nHence option (c) is correct.","solHi":null,"pos":2,"neg":0.5},{"id":7513,"n":13,"subject":"English Language","stem":"Choose the most suitable preposition from the given options to fill in the blank in the following sentence: She has a reputation

____

speaking clearly and confidently.","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"by","textHi":null,"imageUrl":null},{"key":"b","text":"at","textHi":null,"imageUrl":null},{"key":"c","text":"of","textHi":null,"imageUrl":null},{"key":"d","text":"for","textHi":null,"imageUrl":null}],"correct":"d","sol":"Preposition with 'reputation'\n'Reputation' takes the preposition 'for' when the activity that makes a person well known is stated.\nSo the sentence reads: She has a reputation for speaking clearly and confidently.\n'Reputation of' is used for the possessor or for a quality-noun (the reputation of the school), not before a gerund like this.\n'By' and 'at' never collocate with 'reputation', so option (d) is correct.","solHi":null,"pos":2,"neg":0.5},{"id":7514,"n":14,"subject":"English Language","stem":"Choose the correct passive voice transformation of the sentence: The committee, after thorough discussion, has finally approved the new policy.","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"The new policy has finally been approved by the committee after thorough discussion.","textHi":null,"imageUrl":null},{"key":"b","text":"The new policy was finally approved by the committee after thorough discussion.","textHi":null,"imageUrl":null},{"key":"c","text":"The new policy had been finally approved by the committee after thorough discussion.","textHi":null,"imageUrl":null},{"key":"d","text":"The new policy is approved by the committee after thorough discussion.","textHi":null,"imageUrl":null}],"correct":"a","sol":"Present perfect passive\nThe active sentence is in the present perfect: has + V3 ('has finally approved').\nThe passive of the present perfect is has/have been + V3, and the adverb 'finally' keeps its place before the main verb.\nSo the object 'the new policy' becomes the subject: The new policy has finally been approved by the committee after thorough discussion.\nOption (b) shifts to the simple past, (c) to the past perfect and (d) to the simple present, so only option (a) keeps the tense unchanged.","solHi":null,"pos":2,"neg":0.5},{"id":7515,"n":15,"subject":"English Language","stem":"In the sentence "Online platforms, when carefully selected, can also function as drivers of cognitive progress," the phrase "when carefully selected" functions as:","stemHi":null,"context":"Directions (Qs. 15-19): Read the following passage carefully and answer the questions that follow.\n\nembedding demanding thinking tasks within enjoyable formats, these activities make learning internally rewarding rather than externally forced.\n\nIn the end, games that challenge the mind are far from trivial pastimes; they actively shape thinking patterns in ways that offer long-term educational and personal benefits.","contextHi":null,"options":[{"key":"a","text":"Noun clause","textHi":null,"imageUrl":null},{"key":"b","text":"Adverbial clause of time","textHi":null,"imageUrl":null},{"key":"c","text":"Adjective clause","textHi":null,"imageUrl":null},{"key":"d","text":"Absolute phrase","textHi":null,"imageUrl":null}],"correct":"b","sol":"Clause identification\n'When carefully selected' is an elliptical clause in which the subject and the verb are understood - when (they are) carefully selected.\nIt opens with the subordinating conjunction 'when' and tells us on what occasion, or under what condition of time, the platforms can drive cognitive progress.\nA clause introduced by when / while / before / after that modifies the verb of the main clause is an adverbial clause of time.\nIt names no thing, so it is not a noun clause, and it modifies no noun, so it is not an adjective clause.\nHence option (b) is correct.","solHi":null,"pos":2,"neg":0.5},{"id":7516,"n":16,"subject":"English Language","stem":"Identify the tense in "can also function as drivers of cognitive progress."","stemHi":null,"context":"Directions (Qs. 15-19): Read the following passage carefully and answer the questions that follow.\n\nembedding demanding thinking tasks within enjoyable formats, these activities make learning internally rewarding rather than externally forced.\n\nIn the end, games that challenge the mind are far from trivial pastimes; they actively shape thinking patterns in ways that offer long-term educational and personal benefits.","contextHi":null,"options":[{"key":"a","text":"Simple present","textHi":null,"imageUrl":null},{"key":"b","text":"Present continuous","textHi":null,"imageUrl":null},{"key":"c","text":"Future simple","textHi":null,"imageUrl":null},{"key":"d","text":"Present perfect","textHi":null,"imageUrl":null}],"correct":"a","sol":"Tense identification\n'Can function' is a modal verb followed by the bare infinitive, and 'can' is the present-tense form of the modal.\nThe clause states a general possibility that is true at all times, not an action going on now or one already finished.\nThere is no 'is/are + -ing' for the present continuous, no 'will' for the future simple and no 'has/have + V3' for the present perfect.\nHence the tense is the simple present, option (a).","solHi":null,"pos":2,"neg":0.5},{"id":7517,"n":17,"subject":"English Language","stem":"The word "fluency" in the sentence "Language-oriented games... expand vocabulary and verbal fluency." most nearly means:","stemHi":null,"context":"Directions (Qs. 15-19): Read the following passage carefully and answer the questions that follow.\n\nembedding demanding thinking tasks within enjoyable formats, these activities make learning internally rewarding rather than externally forced.\n\nIn the end, games that challenge the mind are far from trivial pastimes; they actively shape thinking patterns in ways that offer long-term educational and personal benefits.","contextHi":null,"options":[{"key":"a","text":"Clumsiness","textHi":null,"imageUrl":null},{"key":"b","text":"ease and accuracy","textHi":null,"imageUrl":null},{"key":"c","text":"Laziness","textHi":null,"imageUrl":null},{"key":"d","text":"Curiosity","textHi":null,"imageUrl":null}],"correct":"b","sol":"Word meaning in context\n'Fluency' is the ability to use a language smoothly, without hesitation and without mistakes.\nPaired here with 'vocabulary', it clearly stands for ease and accuracy in speaking.\n'Clumsiness' is its very opposite, while 'laziness' and 'curiosity' have nothing to do with command over language.\nHence option (b) is correct.","solHi":null,"pos":2,"neg":0.5},{"id":7518,"n":18,"subject":"English Language","stem":"Which word from the passage means making something less harmful, unpleasant, or bad?","stemHi":null,"context":"Directions (Qs. 15-19): Read the following passage carefully and answer the questions that follow.\n\nembedding demanding thinking tasks within enjoyable formats, these activities make learning internally rewarding rather than externally forced.\n\nIn the end, games that challenge the mind are far from trivial pastimes; they actively shape thinking patterns in ways that offer long-term educational and personal benefits.","contextHi":null,"options":[{"key":"a","text":"Worsening","textHi":null,"imageUrl":null},{"key":"b","text":"Preventing","textHi":null,"imageUrl":null},{"key":"c","text":"mitigating","textHi":null,"imageUrl":null},{"key":"d","text":"Ignoring","textHi":null,"imageUrl":null}],"correct":"c","sol":"Word from the passage\nTo mitigate is to make something less severe, less harmful or less unpleasant - exactly the definition given in the question.\n'Mitigating' is the very word used in the passage, so it is the one being asked for.\n'Worsening' is the opposite; 'preventing' means stopping something before it happens at all, not merely reducing it; 'ignoring' means paying no attention to it.\nHence option (c) is correct.","solHi":null,"pos":2,"neg":0.5},{"id":7519,"n":19,"subject":"English Language","stem":"According to the passage, what ensures the maximum benefit of learning-focused digital games?","stemHi":null,"context":"Directions (Qs. 15-19): Read the following passage carefully and answer the questions that follow.\n\nembedding demanding thinking tasks within enjoyable formats, these activities make learning internally rewarding rather than externally forced.\n\nIn the end, games that challenge the mind are far from trivial pastimes; they actively shape thinking patterns in ways that offer long-term educational and personal benefits.","contextHi":null,"options":[{"key":"a","text":"Playing them for long hours","textHi":null,"imageUrl":null},{"key":"b","text":"Combining them with face-to-face activities","textHi":null,"imageUrl":null},{"key":"c","text":"Using only offline versions","textHi":null,"imageUrl":null},{"key":"d","text":"Avoiding all puzzles and strategy games","textHi":null,"imageUrl":null}],"correct":"b","sol":"Reading comprehension\nThe passage says that the gains from learning-focused digital games are greatest when screen play is balanced with real-world, face-to-face interaction.\nSo it is the combination of the two, not the amount of play, that ensures the maximum benefit.\nLong hours (a) are nowhere recommended, and the passage never asks for offline-only versions (c) or for puzzles and strategy games to be avoided (d) - it praises them.\nHence option (b) is correct.","solHi":null,"pos":2,"neg":0.5},{"id":7520,"n":20,"subject":"English Language","stem":"Rearrange the following sentence parts to form a meaningful and grammatically correct paragraph:\nP. She collected water from a river into a clean container.\nQ. She heated the water until it reached a rolling boil, making it safe to drink.\nR. She drank the clear, boiled water, feeling refreshed and hydrated.\nS. She strained the water through a cloth to remove any dirt or debris.","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"P, Q, S, R","textHi":null,"imageUrl":null},{"key":"b","text":"R, Q, S, P","textHi":null,"imageUrl":null},{"key":"c","text":"Q, P, S, R","textHi":null,"imageUrl":null},{"key":"d","text":"R, S, Q, P","textHi":null,"imageUrl":null}],"correct":"a","sol":"Para jumble\nThe four parts describe one continuous procedure, so they must follow the order in which the actions are performed.\nP introduces the water and the container, so it has to open the paragraph; R, the drinking of the finished water, has to close it.\nThat fixes the frame P ... R, and the two treatment steps Q (heating to a rolling boil) and S (straining through a cloth) fill the middle.\n $\"figure\"/$ \nAmong the options only (a) begins with P and ends with R; (b) and (d) start with R and (c) starts with Q.\nHence the correct sequence is P, Q, S, R - option (a).","solHi":null,"pos":2,"neg":0.5},{"id":7521,"n":21,"subject":"English Language","stem":"Rearrange the following sentences to form a meaningful and grammatically correct paragraph:\nP. As a result, they were able to harvest fruits that would nourish the growing population.\nQ. The ancient farmers built raised beds on the steep hillsides to prevent soil erosion.\nR. Where there had previously been unusable slopes, these raised beds created fertile land.\nS. Their community's prosperity and food security were largely due to their innovative farming techniques.","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"Q, R, P, S","textHi":null,"imageUrl":null},{"key":"b","text":"S, R, P, Q","textHi":null,"imageUrl":null},{"key":"c","text":"R, Q, P, S","textHi":null,"imageUrl":null},{"key":"d","text":"P, R, Q, S","textHi":null,"imageUrl":null}],"correct":"a","sol":"Para jumble\nQ is the opening sentence: it introduces the subject of the paragraph — the ancient farmers and the raised beds they built on the steep hillsides.\nR must follow Q, because the phrase 'these raised beds' points back to the beds just mentioned and tells us what they achieved: fertile land where the slopes had been unusable.\nP comes next; its linker 'As a result' needs the fertile land of R before it, and it gives the outcome — fruits that nourished the growing population.\nS rounds the paragraph off with the overall comment on the community's prosperity and food security.\nSo the correct sequence is Q, R, P, S, and the correct option is (a).","solHi":null,"pos":2,"neg":0.5},{"id":7522,"n":22,"subject":"English Language","stem":"What is the antonym of Permanent?","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"Eternal","textHi":null,"imageUrl":null},{"key":"b","text":"Forever","textHi":null,"imageUrl":null},{"key":"c","text":"Long-lasting","textHi":null,"imageUrl":null},{"key":"d","text":"Ephemeral","textHi":null,"imageUrl":null}],"correct":"d","sol":"Antonym\n'Permanent' means lasting for ever or for a very long time, so the antonym must carry the idea of 'short-lived'.\n'Ephemeral' means lasting for a very short time — an ephemeral fashion, an ephemeral bloom — which is exactly the opposite of permanent.\n'Eternal', 'Forever' and 'Long-lasting' all repeat the idea of lasting, so they are synonyms of permanent, not antonyms.\nHence the correct option is (d).","solHi":null,"pos":2,"neg":0.5},{"id":7523,"n":23,"subject":"English Language","stem":"What is the antonym of "Murky" ?","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"Bright","textHi":null,"imageUrl":null},{"key":"b","text":"Tenebrous","textHi":null,"imageUrl":null},{"key":"c","text":"Sombre","textHi":null,"imageUrl":null},{"key":"d","text":"Gloomy","textHi":null,"imageUrl":null}],"correct":"a","sol":"Antonym\n'Murky' means dark, dim and unclear — murky water, a murky sky, a murky past.\nThe opposite of darkness and dimness is 'Bright', which means full of light and clear.\n'Tenebrous' (dark and shadowy), 'Sombre' (dark or dull) and 'Gloomy' (dark, depressing) all mean much the same as murky, so they are synonyms.\nHence the correct option is (a).","solHi":null,"pos":2,"neg":0.5},{"id":7524,"n":24,"subject":"English Language","stem":"Select the incorrectly spelt word.","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"Apocriphal","textHi":null,"imageUrl":null},{"key":"b","text":"Historian","textHi":null,"imageUrl":null},{"key":"c","text":"Mainstream","textHi":null,"imageUrl":null},{"key":"d","text":"Scholar","textHi":null,"imageUrl":null}],"correct":"a","sol":"Spelling error\nOption (a) is misspelt: the correct form is 'Apocryphal', written with 'y' after the 'r', not 'i'.\n'Apocryphal' describes a story that is widely circulated but of doubtful authenticity.\n'Historian', 'Mainstream' and 'Scholar' are all spelt correctly.\nHence the correct option is (a).","solHi":null,"pos":2,"neg":0.5},{"id":7525,"n":25,"subject":"English Language","stem":"Which word describes the action of making amends for a wrong or injury ?","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"Penitence","textHi":null,"imageUrl":null},{"key":"b","text":"Atonement","textHi":null,"imageUrl":null},{"key":"c","text":"Acquittal","textHi":null,"imageUrl":null},{"key":"d","text":"Salvation","textHi":null,"imageUrl":null}],"correct":"b","sol":"One word substitution\n'Atonement' is the act of making amends or reparation for a wrong or an injury — doing something to set the wrong right.\n'Penitence' is only the feeling of sorrow and regret for having done wrong; the regret may never be turned into any act of repair, so it is not 'making amends'.\n'Acquittal' is a court's verdict that a person is not guilty, and 'Salvation' is deliverance from sin or harm — neither is an act of compensation.\nHence the correct option is (b).","solHi":null,"pos":2,"neg":0.5},{"id":7526,"n":26,"subject":"General Intelligence","stem":"In a class, among the passed students, A is 14th from the top and 19nd from the bottom. If 9 students failed, what is the total number of students in the class?","stemHi":"एक कक्षा में, उत्तीर्ण विद्यार्थियों में A का स्थान ऊपर से 14वाँ और नीचे से 19वाँ है। यदि 9 विद्यार्थी अनुत्तीर्ण हो गए, तो कक्षा में विद्यार्थियों की कुल संख्या कितनी है?","context":null,"contextHi":null,"options":[{"key":"a","text":"41","textHi":null,"imageUrl":null},{"key":"b","text":"42","textHi":null,"imageUrl":null},{"key":"c","text":"43","textHi":null,"imageUrl":null},{"key":"d","text":"44","textHi":null,"imageUrl":null}],"correct":"a","sol":"Ranking and position\nWhen one person's rank is counted from both ends, total = (rank from the top) + (rank from the bottom) -1, because that person gets counted twice.\nNumber of passed students =14+19-1=32\nTotal students = passed students + failed students\n=32+9=41\n $\"figure\"/$ \nHence the correct option is (a).","solHi":"क्रम एवं स्थान निर्धारण\nजब किसी एक व्यक्ति का स्थान दोनों सिरों से गिना जाता है, तो कुल = (ऊपर से स्थान) + (नीचे से स्थान) -1, क्योंकि वह व्यक्ति दो बार गिना जाता है।\nउत्तीर्ण विद्यार्थियों की संख्या =14+19-1=32\nकुल विद्यार्थी = उत्तीर्ण विद्यार्थी + अनुत्तीर्ण विद्यार्थी\n=32+9=41\n $\"figure\"/$ \nअतः सही विकल्प (a) है।","pos":2,"neg":0.5},{"id":7527,"n":27,"subject":"General Intelligence","stem":"In a row of children,

A

is 12 th from the left and

B

is 18 th from the right. If

C

is 8th to the right of A and is exactly in the middle of

A

and

B

, what is the total number of children in the row?","stemHi":"बच्चों की एक पंक्ति में,

A

बाएँ से 12वाँ है और

B

दाएँ से 18वाँ है। यदि

C

, A के दाएँ 8वाँ है तथा

A

और

B

के ठीक बीच में है, तो पंक्ति में बच्चों की कुल संख्या कितनी है?","context":null,"contextHi":null,"options":[{"key":"a","text":"46","textHi":null,"imageUrl":null},{"key":"b","text":"43","textHi":null,"imageUrl":null},{"key":"c","text":"44","textHi":null,"imageUrl":null},{"key":"d","text":"45","textHi":null,"imageUrl":null}],"correct":"d","sol":"Ranking and position\nA is 12th from the left and C is 8 places to the right of A, so C's position from the left =12+8=20th.\nC is exactly in the middle of A and B, so C is as far from B as it is from A, i.e. B is 8 places to the right of C.\nB's position from the left =20+8=28th.\n $\"figure\"/$ \nB is 28th from the left and 18th from the right, so total children =28+18-1=45.\nHence the correct option is (d).","solHi":"क्रम एवं स्थान निर्धारण\nA बाएँ से 12वाँ है और C, A के दाएँ 8वाँ है, अतः C का बाएँ से स्थान =12+8=20वाँ है।\nC, A और B के ठीक बीच में है, अतः C की B से दूरी भी उतनी ही है जितनी A से, अर्थात् B, C के दाएँ 8वाँ है।\nB का बाएँ से स्थान =20+8=28वाँ है।\n $\"figure\"/$ \nB बाएँ से 28वाँ और दाएँ से 18वाँ है, अतः कुल बच्चे =28+18-1=45।\nअतः सही विकल्प (d) है।","pos":2,"neg":0.5},{"id":7528,"n":28,"subject":"General Intelligence","stem":"In a row of students, Mohan is 15th from the left and Sohan is 16th from the right. If they interchange their positions, Mohan becomes 24th from the left. How many students are there in the row?","stemHi":"विद्यार्थियों की एक पंक्ति में, मोहन बाएँ से 15वाँ है और सोहन दाएँ से 16वाँ है। यदि वे अपने स्थान आपस में बदल लेते हैं, तो मोहन बाएँ से 24वाँ हो जाता है। पंक्ति में कुल कितने विद्यार्थी हैं?","context":null,"contextHi":null,"options":[{"key":"a","text":"41","textHi":null,"imageUrl":null},{"key":"b","text":"40","textHi":null,"imageUrl":null},{"key":"c","text":"39","textHi":null,"imageUrl":null},{"key":"d","text":"38","textHi":null,"imageUrl":null}],"correct":"c","sol":"Ranking and position\nWhen two people interchange seats, each takes the other's original place.\nSo Mohan's new position, 24th from the left, was Sohan's original position from the left.\nSohan is therefore 24th from the left and 16th from the right.\nTotal students =24+16-1=39\n $\"figure\"/$ \nMohan's own starting rank of 15th is extra information and is not needed.\nHence the correct option is (c).","solHi":"क्रम एवं स्थान निर्धारण\nजब दो व्यक्ति अपने स्थान आपस में बदलते हैं, तो प्रत्येक दूसरे का मूल स्थान ले लेता है।\nअतः मोहन का नया स्थान, बाएँ से 24वाँ, वास्तव में सोहन का बाएँ से मूल स्थान था।\nइसलिए सोहन बाएँ से 24वाँ और दाएँ से 16वाँ है।\nकुल विद्यार्थी =24+16-1=39\n $\"figure\"/$ \nमोहन का अपना आरंभिक स्थान 15वाँ अतिरिक्त सूचना है और इसकी आवश्यकता नहीं है।\nअतः सही विकल्प (c) है।","pos":2,"neg":0.5},{"id":7529,"n":29,"subject":"General Intelligence","stem":"A family consists of seven persons A, B, C, D, E, F, G.\n1.

B

is the daughter of

A

.\n2. F is the son of C.\n3.

C

is the brother of

D

.\n4.

D

is the mother of

E

.\n5. G is the sister-in-law of F .\n6.

A

is the father of

D

.\nHow is A related to F?","stemHi":"एक परिवार में सात व्यक्ति A, B, C, D, E, F, G हैं।\n1.

B

A

की पुत्री है।\n2. F, C का पुत्र है।\n3.

C

D

का भाई है।\n4.

D

E

की माता है।\n5. G, F की भाभी है।\n6.

A

D

का पिता है।\nA का F से क्या संबंध है?","context":null,"contextHi":null,"options":[{"key":"a","text":"Father","textHi":"पिता","imageUrl":null},{"key":"b","text":"Grandfather","textHi":"दादा","imageUrl":null},{"key":"c","text":"Uncle","textHi":"चाचा","imageUrl":null},{"key":"d","text":"Son","textHi":"पुत्र","imageUrl":null}],"correct":"b","sol":"Blood relation\nA is the father of D, and B is the daughter of A, so B and D are children of A.\nC is the brother of D, so C is also a child of A — that is, A is C's father.\nF is the son of C, so F belongs to the generation below C.\n $\"figure\"/$ \nA is thus two generations above F, and A is a male, so A is the grandfather of F.\nHence the correct option is (b).","solHi":"रक्त-संबंध\nA, D का पिता है और B, A की पुत्री है, अतः B और D दोनों A की संतानें हैं।\nC, D का भाई है, अतः C भी A की संतान है — अर्थात् A, C का पिता है।\nF, C का पुत्र है, अतः F, C से एक पीढ़ी नीचे है।\n $\"figure\"/$ \nइस प्रकार A, F से दो पीढ़ी ऊपर है और A पुरुष है, अतः A, F का दादा है।\nअतः सही विकल्प (b) है।","pos":2,"neg":0.5},{"id":7530,"n":30,"subject":"General Intelligence","stem":"Read the following statement carefully and identify the conclusion that follows.\nStatement:\nNo flower is a tree.\nAll trees are tall.\nConclusions:\nI. No flower is tall.\nII. Some tall things are not flowers.","stemHi":"निम्नलिखित कथन को ध्यानपूर्वक पढ़िए और उस निष्कर्ष की पहचान कीजिए जो अनुसरण करता है।\nकथन:\nकोई भी फूल वृक्ष नहीं है।\nसभी वृक्ष लंबे हैं।\nनिष्कर्ष:\nI. कोई भी फूल लंबा नहीं है।\nII. कुछ लंबी वस्तुएँ फूल नहीं हैं।","context":null,"contextHi":null,"options":[{"key":"a","text":"Only conclusion I follows.","textHi":"केवल निष्कर्ष I अनुसरण करता है।","imageUrl":null},{"key":"b","text":"Only conclusion II follows.","textHi":"केवल निष्कर्ष II अनुसरण करता है।","imageUrl":null},{"key":"c","text":"Both conclusions I and II follow.","textHi":"निष्कर्ष I और II दोनों अनुसरण करते हैं।","imageUrl":null},{"key":"d","text":"Neither conclusion I nor II follows.","textHi":"न तो निष्कर्ष I और न ही निष्कर्ष II अनुसरण करता है।","imageUrl":null}],"correct":"b","sol":"Syllogism\n'All trees are tall' puts the whole class of trees inside the class of tall things.\n'No flower is a tree' only keeps flowers outside the class of trees; it says nothing about flowers and tallness.\n $\"figure\"/$ \nConclusion I: a flower is barred from being a tree, but the tall region outside 'trees' is still open to flowers, so 'No flower is tall' is only a possibility, not a certainty — it does not follow.\nConclusion II: trees are tall, and no tree can be a flower, so those trees are tall things that are not flowers — this is definitely true, so it follows.\nHence only conclusion II follows, and the correct option is (b).","solHi":"न्याय-निगमन\n'सभी वृक्ष लंबे हैं' वृक्षों के पूरे वर्ग को लंबी वस्तुओं के वर्ग के भीतर रख देता है।\n'कोई भी फूल वृक्ष नहीं है' केवल फूलों को वृक्षों के वर्ग से बाहर रखता है; यह फूलों और लंबाई के विषय में कुछ नहीं कहता।\n $\"figure\"/$ \nनिष्कर्ष I: फूल वृक्ष नहीं हो सकता, किंतु 'वृक्ष' से बाहर का लंबा क्षेत्र फूलों के लिए खुला है, अतः 'कोई भी फूल लंबा नहीं है' केवल एक संभावना है, निश्चितता नहीं — यह अनुसरण नहीं करता।\nनिष्कर्ष II: वृक्ष लंबे हैं और कोई भी वृक्ष फूल नहीं हो सकता, अतः वे वृक्ष ऐसी लंबी वस्तुएँ हैं जो फूल नहीं हैं — यह निश्चित रूप से सत्य है, अतः यह अनुसरण करता है।\nअतः केवल निष्कर्ष II अनुसरण करता है और सही विकल्प (b) है।","pos":2,"neg":0.5},{"id":7531,"n":31,"subject":"General Intelligence","stem":"A series is given with one term missing. Select the correct alternative from the given ones that will complete the series.\n7, 25, 104, 316, ?, 3808, 15236, 45712","stemHi":"एक शृंखला दी गई है जिसमें एक पद लुप्त है। दिए गए विकल्पों में से वह सही विकल्प चुनिए जो शृंखला को पूरा करेगा।\n7, 25, 104, 316, ?, 3808, 15236, 45712","context":null,"contextHi":null,"options":[{"key":"a","text":"1264","textHi":null,"imageUrl":null},{"key":"b","text":"1268","textHi":null,"imageUrl":null},{"key":"c","text":"1260","textHi":null,"imageUrl":null},{"key":"d","text":"1256","textHi":null,"imageUrl":null}],"correct":"b","sol":"$29","solHi":"$2a","pos":2,"neg":0.5},{"id":7532,"n":32,"subject":"General Intelligence","stem":"A series is given with one term wrong. Select the wrong term from the given alternatives.\n-319, -330, -342, -355, -368, -384, -400, -417","stemHi":"एक शृंखला दी गई है जिसमें एक पद गलत है। दिए गए विकल्पों में से गलत पद चुनिए।\n-319, -330, -342, -355, -368, -384, -400, -417","context":null,"contextHi":null,"options":[{"key":"a","text":"-368","textHi":null,"imageUrl":null},{"key":"b","text":"-330","textHi":null,"imageUrl":null},{"key":"c","text":"-319","textHi":null,"imageUrl":null},{"key":"d","text":"-400","textHi":null,"imageUrl":null}],"correct":"a","sol":"Wrong term in series\nIgnore the minus signs and look at how fast the numbers grow; the gap should increase by 1 each step: +11,+12,+13,+14,+15,+16,+17.\n319+11=330, 330+12=342, 342+13=355\nThe next gap must be +14, so the fifth term should be 355+14=369, i.e. -369.\n $\"figure\"/$ \nThe remaining terms confirm the rule: 369+15=384, 384+16=400, 400+17=417.\nSo the term printed as -368 is the wrong one, and the correct option is (a).","solHi":"शृंखला का गलत पद\nऋण चिह्न छोड़कर देखिए कि संख्याएँ किस दर से बढ़ रही हैं; अंतर हर चरण में 1 बढ़ना चाहिए: +11,+12,+13,+14,+15,+16,+17।\n319+11=330, 330+12=342, 342+13=355\nअगला अंतर +14 होना चाहिए, अतः पाँचवाँ पद 355+14=369 अर्थात् -369 होना चाहिए।\n $\"figure\"/$ \nशेष पद इस नियम की पुष्टि करते हैं: 369+15=384, 384+16=400, 400+17=417।\nअतः -368 के रूप में दिया गया पद ही गलत है और सही विकल्प (a) है।","pos":2,"neg":0.5},{"id":7533,"n":33,"subject":"General Intelligence","stem":"A series is given with one term missing. Select the correct alternative from the given ones that will complete the series.\n4, 17, ?, 224, 901, 2708, 10837, 32516","stemHi":"एक शृंखला दी गई है जिसमें एक पद लुप्त है। दिए गए विकल्पों में से वह सही विकल्प चुनिए जो शृंखला को पूरा करेगा।\n4, 17, ?, 224, 901, 2708, 10837, 32516","context":null,"contextHi":null,"options":[{"key":"a","text":"168","textHi":null,"imageUrl":null},{"key":"b","text":"73","textHi":null,"imageUrl":null},{"key":"c","text":"275","textHi":null,"imageUrl":null},{"key":"d","text":"182","textHi":null,"imageUrl":null}],"correct":"b","sol":"$2b","solHi":"$2c","pos":2,"neg":0.5},{"id":7534,"n":34,"subject":"General Intelligence","stem":"Few of the letters are given followed by a question mark (?) these letters are following a specific pattern you have to give the correct option which can replace question mark.\nComplete the series: E, I, L, N, ?","stemHi":"कुछ अक्षर दिए गए हैं जिनके बाद एक प्रश्नवाचक चिह्न (?) है; ये अक्षर एक विशिष्ट पैटर्न का अनुसरण कर रहे हैं। आपको वह सही विकल्प चुनना है जो प्रश्नवाचक चिह्न के स्थान पर आ सके।\nशृंखला पूरी कीजिए: E, I, L, N, ?","context":null,"contextHi":null,"options":[{"key":"a","text":"O","textHi":null,"imageUrl":null},{"key":"b","text":"P","textHi":null,"imageUrl":null},{"key":"c","text":"Q","textHi":null,"imageUrl":null},{"key":"d","text":"R","textHi":null,"imageUrl":null}],"correct":"a","sol":"Letter series\nReplace each letter by its position in the alphabet: E=5, I=9, L=12, N=14.\nThe gaps are +4, +3, +2 — each gap is one less than the one before it.\nSo the next gap is +1, giving 14+1=15, and the 15th letter is O.\n $\"figure\"/$ \nHence the correct option is (a).","solHi":"अक्षर शृंखला\nप्रत्येक अक्षर को वर्णमाला में उसके स्थान से बदलिए: E=5, I=9, L=12, N=14।\nअंतर हैं +4, +3, +2 — प्रत्येक अंतर अपने पिछले अंतर से एक कम है।\nअतः अगला अंतर +1 होगा, जिससे 14+1=15 मिलता है, और 15वाँ अक्षर O है।\n $\"figure\"/$ \nअतः सही विकल्प (a) है।","pos":2,"neg":0.5},{"id":7535,"n":35,"subject":"General Intelligence","stem":"If 15 # 20 = 1200 and 5 #

40 = 800

, then what is the value of 25 # 30?","stemHi":"यदि 15 # 20 = 1200 और 5 #

40 = 800

, तो 25 # 30 का मान क्या है?","context":null,"contextHi":null,"options":[{"key":"a","text":"3000","textHi":null,"imageUrl":null},{"key":"b","text":"3200","textHi":null,"imageUrl":null},{"key":"c","text":"2800","textHi":null,"imageUrl":null},{"key":"d","text":"3400","textHi":null,"imageUrl":null}],"correct":"a","sol":"$2d","solHi":"$2e","pos":2,"neg":0.5},{"id":7536,"n":36,"subject":"General Intelligence","stem":"If 650 &

5 $ 12 = 590

and 820 & 35

$ 25 = - 55

, then what is the value of 945 & 6 $ 8?","stemHi":"यदि 650 &

5 $ 12 = 590

और 820 & 35

$ 25 = - 55

, तो 945 & 6 $ 8 का मान क्या है?","context":null,"contextHi":null,"options":[{"key":"a","text":"890","textHi":null,"imageUrl":null},{"key":"b","text":"897","textHi":null,"imageUrl":null},{"key":"c","text":"900","textHi":null,"imageUrl":null},{"key":"d","text":"905","textHi":null,"imageUrl":null}],"correct":"b","sol":"$2f","solHi":"$30","pos":2,"neg":0.5},{"id":7537,"n":37,"subject":"General Intelligence","stem":"In the questions given below, there are three statements followed by two conclusions I and II. You have to take the three given statements to be true even if they seem to be at variance from commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follows from the three statements disregarding commonly known facts.\nStatements:\nOnly some engineers are scientists\nSome scientists are artists\nAll artists are intelligent.\nConclusion:\nI. Some engineers are not intelligent.\nII. Some intelligent are scientists.","stemHi":"नीचे दिए गए प्रश्नों में तीन कथन दिए गए हैं जिनके बाद दो निष्कर्ष I और II दिए गए हैं। आपको तीनों दिए गए कथनों को सत्य मानना है, भले ही वे सर्वज्ञात तथ्यों से भिन्न प्रतीत हों। सभी निष्कर्षों को पढ़िए और फिर निर्णय कीजिए कि सर्वज्ञात तथ्यों की उपेक्षा करते हुए दिए गए निष्कर्षों में से कौन-सा निष्कर्ष तीनों कथनों का तार्किक रूप से अनुसरण करता है।\nकथन:\nकेवल कुछ इंजीनियर वैज्ञानिक हैं कुछ वैज्ञानिक कलाकार हैं सभी कलाकार बुद्धिमान हैं।\nनिष्कर्ष:\nI. कुछ इंजीनियर बुद्धिमान नहीं हैं।\nII. कुछ बुद्धिमान वैज्ञानिक हैं।","context":null,"contextHi":null,"options":[{"key":"a","text":"Both conclusions I and II follow","textHi":"निष्कर्ष I और II दोनों अनुसरण करते हैं","imageUrl":null},{"key":"b","text":"Only conclusion I follows","textHi":"केवल निष्कर्ष I अनुसरण करता है","imageUrl":null},{"key":"c","text":"Only conclusion II follows","textHi":"केवल निष्कर्ष II अनुसरण करता है","imageUrl":null},{"key":"d","text":"Neither conclusion I nor II follows","textHi":"न तो निष्कर्ष I और न ही निष्कर्ष II अनुसरण करता है","imageUrl":null}],"correct":"c","sol":"Syllogism\n'Only some engineers are scientists' means two things: some engineers are scientists, and some engineers are definitely not scientists.\n $\"figure\"/$ \nConclusion I: those engineers who are not scientists may still be intelligent — nothing in the statements shuts them out of the 'intelligent' circle — so 'Some engineers are not intelligent' is only a possibility and does not follow.\nConclusion II: some scientists are artists, and all artists are intelligent, so those scientists are certainly intelligent.\nConverting 'some scientists are intelligent' gives 'some intelligent are scientists', which therefore follows.\nHence only conclusion II follows, and the correct option is (c).","solHi":"न्याय-निगमन\n'केवल कुछ इंजीनियर वैज्ञानिक हैं' से दो बातें निकलती हैं: कुछ इंजीनियर वैज्ञानिक हैं, और कुछ इंजीनियर निश्चित रूप से वैज्ञानिक नहीं हैं।\n $\"figure\"/$ \nनिष्कर्ष I: जो इंजीनियर वैज्ञानिक नहीं हैं, वे फिर भी बुद्धिमान हो सकते हैं — कथनों में ऐसा कुछ नहीं है जो उन्हें 'बुद्धिमान' वृत्त से बाहर रखे — अतः 'कुछ इंजीनियर बुद्धिमान नहीं हैं' केवल एक संभावना है और यह अनुसरण नहीं करता।\nनिष्कर्ष II: कुछ वैज्ञानिक कलाकार हैं और सभी कलाकार बुद्धिमान हैं, अतः वे वैज्ञानिक निश्चित रूप से बुद्धिमान हैं।\n'कुछ वैज्ञानिक बुद्धिमान हैं' को पलटने पर 'कुछ बुद्धिमान वैज्ञानिक हैं' मिलता है, अतः यह अनुसरण करता है।\nअतः केवल निष्कर्ष II अनुसरण करता है और सही विकल्प (c) है।","pos":2,"neg":0.5},{"id":7538,"n":38,"subject":"General Intelligence","stem":"Six persons M, N, O, P, Q and R lived in a building with 6 floors. Only one person lived on each floor. N lived just above P. 2 persons lived between P and R. P lived on one of the floors above R. M lived just above 0 who did not live on a floor second from the bottom. How many persons lived below Q ?","stemHi":"छह व्यक्ति M, N, O, P, Q और R एक इमारत में रहते हैं जिसमें 6 मंज़िलें हैं। प्रत्येक मंज़िल पर केवल एक ही व्यक्ति रहता है। N, P के ठीक ऊपर रहता है। P और R के बीच 2 व्यक्ति रहते हैं। P, R के ऊपर की किसी एक मंज़िल पर रहता है। M, 0 के ठीक ऊपर रहता है, जो नीचे से दूसरी मंज़िल पर नहीं रहता। Q के नीचे कितने व्यक्ति रहते हैं?","context":null,"contextHi":null,"options":[{"key":"a","text":"None","textHi":"कोई नहीं","imageUrl":null},{"key":"b","text":"One","textHi":"एक","imageUrl":null},{"key":"c","text":"Two","textHi":"दो","imageUrl":null},{"key":"d","text":"Three","textHi":"तीन","imageUrl":null}],"correct":"a","sol":"Floor arrangement\nNumber the floors 1 (bottom) to 6 (top). Two persons live between P and R and P is above R, so P's floor = R's floor +3.\nN lives just above P, so P cannot be on floor 6; this leaves R on 1 with P on 4, or R on 2 with P on 5.\nTake R on 1 and P on 4: then N is on 5 and floors 2, 3, 6 are left for M, O and Q. M is just above O, so the only pair available is O on 2 and M on 3 — but O may not live on the second floor from the bottom, so this case fails.\nSo R is on 2, P on 5 and N on 6. Floors 1, 3 and 4 remain; M just above O gives O on 3 and M on 4, and Q takes floor 1.\n $\"figure\"/$ \nQ sits on the lowest floor, so nobody lives below Q.\nHence the correct option is (a).","solHi":"मंज़िल व्यवस्था\nमंज़िलों को 1 (सबसे नीचे) से 6 (सबसे ऊपर) तक क्रमांकित कीजिए। P और R के बीच दो व्यक्ति रहते हैं और P, R के ऊपर है, अतः P की मंज़िल = R की मंज़िल +3।\nN, P के ठीक ऊपर रहता है, अतः P मंज़िल 6 पर नहीं हो सकता; इससे दो ही स्थितियाँ बचती हैं — R मंज़िल 1 पर और P मंज़िल 4 पर, अथवा R मंज़िल 2 पर और P मंज़िल 5 पर।\nमान लीजिए R मंज़िल 1 पर और P मंज़िल 4 पर है: तब N मंज़िल 5 पर होगा और M, O तथा Q के लिए मंज़िल 2, 3, 6 बचती हैं। M, O के ठीक ऊपर है, अतः एकमात्र संभव जोड़ा O मंज़िल 2 पर और M मंज़िल 3 पर है — किंतु O नीचे से दूसरी मंज़िल पर नहीं रह सकता, अतः यह स्थिति असंभव है।\nअतः R मंज़िल 2 पर, P मंज़िल 5 पर और N मंज़िल 6 पर है। मंज़िल 1, 3 और 4 शेष हैं; M के O के ठीक ऊपर होने से O मंज़िल 3 पर और M मंज़िल 4 पर आता है, तथा Q को मंज़िल 1 मिलती है।\n $\"figure\"/$ \nQ सबसे निचली मंज़िल पर है, अतः Q के नीचे कोई नहीं रहता।\nअतः सही विकल्प (a) है।","pos":2,"neg":0.5},{"id":7539,"n":39,"subject":"General Intelligence","stem":"Price of 5 cups A, B, C, D and E is compared. Price of no two cups is same. Price of D is more than E but less than B and C . Price of A is highest. If the price of

B

is less than

C

, then the price of how many cups is more than

B

?","stemHi":"5 कपों A, B, C, D और E के मूल्यों की तुलना की जाती है। किन्हीं दो कपों का मूल्य समान नहीं है। D का मूल्य E से अधिक किंतु B और C से कम है। A का मूल्य सबसे अधिक है। यदि

B

का मूल्य

C

से कम है, तो कितने कपों का मूल्य

B

से अधिक है?","context":null,"contextHi":null,"options":[{"key":"a","text":"2","textHi":null,"imageUrl":null},{"key":"b","text":"3","textHi":null,"imageUrl":null},{"key":"c","text":"1","textHi":null,"imageUrl":null},{"key":"d","text":"0","textHi":null,"imageUrl":null}],"correct":"a","sol":"Comparison ordering\nFrom 'D is more than E but less than B and C' we get B > D, C > D and D > E.\nA has the highest price, so A stands at the top of the chain.\nThe extra condition B < C fixes the order of B and C, giving A > C > B > D > E.\n $\"figure\"/$ \nOnly A and C stand above B, so the price of 2 cups is more than that of B.\nHence the correct option is (a).","solHi":"तुलनात्मक क्रम\n'D का मूल्य E से अधिक किंतु B और C से कम है' से हमें B > D, C > D तथा D > E प्राप्त होता है।\nA का मूल्य सर्वाधिक है, अतः A इस क्रम में सबसे ऊपर है।\nअतिरिक्त शर्त B < C, B और C का क्रम निश्चित कर देती है, जिससे A > C > B > D > E प्राप्त होता है।\n $\"figure\"/$ \nकेवल A और C, B से ऊपर हैं, अतः 2 कपों का मूल्य B से अधिक है।\nअतः सही विकल्प (a) है।","pos":2,"neg":0.5},{"id":7540,"n":40,"subject":"General Intelligence","stem":"Six players P, Q, R, S, T, and U are compared on the basis of their heights. No two players have the same height. P's height is the second tallest. U's height is greater than that of

R

and

Q

but less than that of S and T. T's height is not the maximum. Which player has the maximum height?","stemHi":"छह खिलाड़ियों P, Q, R, S, T और U की तुलना उनकी लंबाई के आधार पर की जाती है। किन्हीं दो खिलाड़ियों की लंबाई समान नहीं है। P की लंबाई दूसरे स्थान पर सबसे अधिक है। U की लंबाई

R

और

Q

से अधिक है किंतु S और T से कम है। T की लंबाई सर्वाधिक नहीं है। किस खिलाड़ी की लंबाई सर्वाधिक है?","context":null,"contextHi":null,"options":[{"key":"a","text":"P","textHi":null,"imageUrl":null},{"key":"b","text":"S","textHi":null,"imageUrl":null},{"key":"c","text":"Q","textHi":null,"imageUrl":null},{"key":"d","text":"T","textHi":null,"imageUrl":null}],"correct":"b","sol":"Comparison ordering\nU is taller than R and Q but shorter than S and T, so S > U, T > U, U > R and U > Q.\nP is the second tallest, so the tallest player is neither P nor anyone below U; it must be S or T.\nT is not the tallest, so S is the tallest.\nThe full order is S > P > T > U > R and Q (in some order).\n $\"figure\"/$ \nHence the correct option is (b).","solHi":"तुलनात्मक क्रम\nU की लंबाई R और Q से अधिक किंतु S और T से कम है, अतः S > U, T > U, U > R तथा U > Q।\nP दूसरा सबसे लंबा है, अतः सबसे लंबा खिलाड़ी न तो P है और न ही U से नीचे का कोई खिलाड़ी; वह S या T ही हो सकता है।\nT सबसे लंबा नहीं है, अतः S ही सबसे लंबा है।\nपूरा क्रम है S > P > T > U > R तथा Q (किसी भी क्रम में)।\n $\"figure\"/$ \nअतः सही विकल्प (b) है।","pos":2,"neg":0.5},{"id":7541,"n":41,"subject":"General Intelligence","stem":"8 boys S, T, U, V, W, X, Y and Z are sitting around a circular table facing towards the centre (not necessarily in the same order). Z is to the immediate right of S. Z is not the immediate neighbour of W or V. X is to the immediate left of T. Y is the immediate neighbour of

W . U

is the immediate neighbour of W and Y. Who is sitting second to the right of Z ?","stemHi":"8 लड़के S, T, U, V, W, X, Y तथा Z एक वृत्ताकार मेज़ के चारों ओर केंद्र की ओर मुख करके बैठे हैं (आवश्यक नहीं कि इसी क्रम में)। Z, S के ठीक दाईं ओर है। Z, W अथवा V का निकटतम पड़ोसी नहीं है। X, T के ठीक बाईं ओर है। Y,

W . U

का निकटतम पड़ोसी है, W तथा Y का निकटतम पड़ोसी है। Z के दाईं ओर दूसरे स्थान पर कौन बैठा है?","context":null,"contextHi":null,"options":[{"key":"a","text":"U","textHi":null,"imageUrl":null},{"key":"b","text":"W","textHi":null,"imageUrl":null},{"key":"c","text":"V","textHi":null,"imageUrl":null},{"key":"d","text":"T","textHi":null,"imageUrl":null}],"correct":"b","sol":"Circular seating arrangement\nAll eight boys face the centre, so for every boy the neighbour on his right is the one placed anticlockwise to him and the neighbour on his left is the one placed clockwise to him.\nY and U are the immediate neighbours of W, so the block Y - W - U is fixed, and X is to the immediate left of T gives the block T - X.\nZ sits to the immediate right of S, and Z may sit beside neither W nor V, so the boy on Z's right has to be U; V then takes the only seat left, between S and T.\n $\"figure\"/$ \nCounting towards the right (anticlockwise) from Z: U is first and W is second.\nHence, option (b) W is the most appropriate answer.","solHi":"वृत्ताकार बैठक व्यवस्था\nआठों लड़कों का मुख केंद्र की ओर है, अतः प्रत्येक लड़के के लिए उसकी दाईं ओर का पड़ोसी वह है जो उससे वामावर्त बैठा है तथा बाईं ओर का पड़ोसी वह है जो उससे दक्षिणावर्त बैठा है।\nY तथा U, W के निकटतम पड़ोसी हैं, अतः Y - W - U का समूह निश्चित हो जाता है, और X, T के ठीक बाईं ओर है, इससे T - X का समूह बनता है।\nZ, S के ठीक दाईं ओर बैठा है तथा Z न तो W के और न ही V के पास बैठ सकता है, अतः Z की दाईं ओर U का होना अनिवार्य है; तब V के लिए केवल S और T के बीच का स्थान शेष रहता है।\n $\"figure\"/$ \nZ से दाईं ओर (वामावर्त) गिनने पर पहले U तथा दूसरे स्थान पर W आता है।\nइसलिए सही विकल्प (b) W है।","pos":2,"neg":0.5},{"id":7542,"n":42,"subject":"General Intelligence","stem":"Some conditional data is provided to you in form of statement you have to check which of the following statement are logically inference from given statement.\nStatement : Employees who complete their projects before the deadline are given a bonus. Rahul completed his project this month before the deadline. What can we infer?","stemHi":"आपको कथन के रूप में कुछ सशर्त सूचना दी गई है। आपको यह जाँचना है कि निम्नलिखित में से कौन-सा कथन दिए गए कथन से तार्किक रूप से निष्कर्षित होता है।\nकथन : जो कर्मचारी अपनी परियोजनाएँ समय-सीमा से पहले पूरी कर लेते हैं, उन्हें बोनस दिया जाता है। Rahul ने इस माह अपनी परियोजना समय-सीमा से पहले पूरी कर ली। हम क्या निष्कर्ष निकाल सकते हैं?","context":null,"contextHi":null,"options":[{"key":"a","text":"Rahul received a bonus this month","textHi":"Rahul को इस माह बोनस मिला","imageUrl":null},{"key":"b","text":"Rahul always completes work before the deadline","textHi":"Rahul सदैव समय-सीमा से पहले कार्य पूरा करता है","imageUrl":null},{"key":"c","text":"Rahul needed extra leave","textHi":"Rahul को अतिरिक्त अवकाश की आवश्यकता थी","imageUrl":null},{"key":"d","text":"Rahul is a hardworking employee","textHi":"Rahul एक परिश्रमी कर्मचारी है","imageUrl":null}],"correct":"a","sol":"Logical inference\nThe statement lays down a rule: finishing a project before the deadline is the condition, and the bonus is its result.\nRahul is said to satisfy that condition this month, so the rule applies to him directly and its result must follow.\n $\"figure\"/$ \nOptions (b), (c) and (d) talk about his habit, his leave and his nature - none of these is contained in the statement, so none of them can be inferred.\nHence, option (a) is the most appropriate answer.","solHi":"तार्किक निष्कर्ष\nकथन एक नियम बताता है: परियोजना को समय-सीमा से पहले पूरा करना शर्त है तथा बोनस उसका परिणाम है।\nRahul ने इस माह वह शर्त पूरी की है, अतः यह नियम उस पर सीधे लागू होता है और उसका परिणाम अवश्य मिलेगा।\n $\"figure\"/$ \nविकल्प (b), (c) तथा (d) उसकी आदत, अवकाश और स्वभाव की बात करते हैं - इनमें से कोई भी बात कथन में नहीं है, अतः इन्हें निष्कर्ष नहीं माना जा सकता।\nइसलिए सही विकल्प (a) है।","pos":2,"neg":0.5},{"id":7543,"n":43,"subject":"General Intelligence","stem":"In this type of questions, question is provided with substitutes for various mathematical symbols, followed by a question involving calculation of an expression or choosing the correct/incorrect equation. You have to put the real signs in the given equation and then solve the questions as required. If '#' stands for '÷', '%' stands for '-', '$' stands for ' + ',

^{'} \sim

' stands for '

\times

', then find the value of:

12 \sim 5 \sim 7 $ 3 =

?","stemHi":"इस प्रकार के प्रश्नों में विभिन्न गणितीय चिह्नों के स्थान पर प्रतिस्थापित चिह्न दिए जाते हैं, तत्पश्चात् किसी व्यंजक का मान ज्ञात करने अथवा सही/गलत समीकरण चुनने से संबंधित प्रश्न पूछा जाता है। आपको दिए गए समीकरण में वास्तविक चिह्न रखकर प्रश्न को हल करना है। यदि '#' का अर्थ '÷' है, '%' का अर्थ '-' है, '$' का अर्थ ' + ' है,

^{'} \sim

' का अर्थ '

\times

' है, तो

12 \sim 5 \sim 7 $ 3 =

का मान ज्ञात कीजिए?","context":null,"contextHi":null,"options":[{"key":"a","text":"424","textHi":null,"imageUrl":null},{"key":"b","text":"423","textHi":null,"imageUrl":null},{"key":"c","text":"421","textHi":null,"imageUrl":null},{"key":"d","text":"422","textHi":null,"imageUrl":null}],"correct":"b","sol":"Symbol substitution\nReplace every substitute by the real sign it stands for; in this expression only two of them occur.\n $\"figure\"/$ \nThe wave symbol stands for

\times

and the dollar symbol stands for +, so the expression becomes

12 \times 5 \times 7 + 3

.\nBy BODMAS the multiplication is done first:

12 \times 5 \times 7 = 420

.\nThen 420+3=423.\nHence, option (b) is the most appropriate answer.","solHi":"चिह्न प्रतिस्थापन\nप्रत्येक प्रतिस्थापित चिह्न के स्थान पर उसका वास्तविक चिह्न रखिए; इस व्यंजक में इनमें से केवल दो ही आए हैं।\n $\"figure\"/$ \nलहरदार चिह्न का अर्थ

\times

तथा डॉलर चिह्न का अर्थ + है, अतः व्यंजक

12 \times 5 \times 7 + 3

बन जाता है।\nBODMAS के अनुसार पहले गुणा कीजिए:

12 \times 5 \times 7 = 420

।\nतत्पश्चात् 420+3=423।\nइसलिए सही विकल्प (b) है।","pos":2,"neg":0.5},{"id":7544,"n":44,"subject":"General Intelligence","stem":"After interchanging the given two signs, what will be the value of the given equation ?\n× and -\n

18 \times 8 - 24 \div 4 + 12 =

?","stemHi":"दिए गए दो चिह्नों को आपस में बदलने पर दिए गए समीकरण का मान क्या होगा?\n× तथा -\n

18 \times 8 - 24 \div 4 + 12 =

?","context":null,"contextHi":null,"options":[{"key":"a","text":"22","textHi":null,"imageUrl":null},{"key":"b","text":"-20","textHi":null,"imageUrl":null},{"key":"c","text":"-18","textHi":null,"imageUrl":null},{"key":"d","text":"-14","textHi":null,"imageUrl":null}],"correct":"c","sol":"$31","solHi":"$32","pos":2,"neg":0.5},{"id":7545,"n":45,"subject":"General Intelligence","stem":"By interchanging the given two numbers (not digits) which of the following equation will NOT be correct?\n4 and 6\nl.

3 \times 6 + 4 - 10 \div 2 = 13

\nII.

8 \times 6 + 4 - 12 \div 3 = 18

","stemHi":"दी गई दो संख्याओं (अंकों को नहीं) को आपस में बदलने पर निम्नलिखित में से कौन-सा समीकरण सही नहीं होगा?\n4 तथा 6\nl.

3 \times 6 + 4 - 10 \div 2 = 13

\nII.

8 \times 6 + 4 - 12 \div 3 = 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 तथा II दोनों","imageUrl":null},{"key":"d","text":"Neither I nor II","textHi":"न तो I और न ही II","imageUrl":null}],"correct":"b","sol":"Number interchange\nWherever the number 4 stands alone it becomes 6 and wherever 6 stands alone it becomes 4; the digits inside 10, 12 and so on are not touched.\nEquation I becomes

3 \times 4 + 6 - 10 \div 2

.\n=12+6-5=13, which is the same as the right-hand side, so equation I stays correct.\nEquation II becomes

8 \times 4 + 6 - 12 \div 3

.\n=32+6-4=34, but the right-hand side is 18, so equation II is not correct.\n $\"figure\"/$ \nHence, option (b) Only II is the most appropriate answer.","solHi":"संख्या परिवर्तन\nजहाँ-जहाँ अकेली संख्या 4 है वहाँ 6 तथा जहाँ 6 है वहाँ 4 रखिए; 10, 12 आदि के भीतर के अंकों को नहीं बदला जाता।\nसमीकरण I बदलकर

3 \times 4 + 6 - 10 \div 2

हो जाता है।\n=12+6-5=13, जो दाएँ पक्ष के बराबर है, अतः समीकरण I सही रहता है।\nसमीकरण II बदलकर

8 \times 4 + 6 - 12 \div 3

हो जाता है।\n=32+6-4=34, जबकि दायाँ पक्ष 18 है, अतः समीकरण II सही नहीं है।\n $\"figure\"/$ \nइसलिए सही विकल्प (b) केवल II है।","pos":2,"neg":0.5},{"id":7546,"n":46,"subject":"General Intelligence","stem":"In a certain coded language 'CPET' is coded as 'IWKA' and 'TLJQ' is coded as 'ZSPX'. How will 'CPXM' be coded in the same code language?","stemHi":"एक निश्चित कूट भाषा में 'CPET' को 'IWKA' तथा 'TLJQ' को 'ZSPX' लिखा जाता है। उसी कूट भाषा में 'CPXM' को किस प्रकार लिखा जाएगा?","context":null,"contextHi":null,"options":[{"key":"a","text":"GXDU","textHi":null,"imageUrl":null},{"key":"b","text":"IWDT","textHi":null,"imageUrl":null},{"key":"c","text":"HWCS","textHi":null,"imageUrl":null},{"key":"d","text":"HYCT","textHi":null,"imageUrl":null}],"correct":"b","sol":"$33","solHi":"$34","pos":2,"neg":0.5},{"id":7547,"n":47,"subject":"General Intelligence","stem":"In a certain coded language 'RSNV' is coded as 'NNJQ' and 'GDHQ' is coded as 'CYDL'. How will 'ONRG' be coded in the same code language?","stemHi":"एक निश्चित कूट भाषा में 'RSNV' को 'NNJQ' तथा 'GDHQ' को 'CYDL' लिखा जाता है। उसी कूट भाषा में 'ONRG' को किस प्रकार लिखा जाएगा?","context":null,"contextHi":null,"options":[{"key":"a","text":"MHOC","textHi":null,"imageUrl":null},{"key":"b","text":"KINB","textHi":null,"imageUrl":null},{"key":"c","text":"LJOZ","textHi":null,"imageUrl":null},{"key":"d","text":"IKPA","textHi":null,"imageUrl":null}],"correct":"b","sol":"$35","solHi":"$36","pos":2,"neg":0.5},{"id":7548,"n":48,"subject":"General Intelligence","stem":"Which following group of letters, when sequentially placed from left to right will complete the given series?\nt_pp_kpptkp_tk_p","stemHi":"निम्नलिखित में से अक्षरों का कौन-सा समूह बाएँ से दाएँ क्रमानुसार रखने पर दी गई शृंखला को पूर्ण करेगा?\nt_pp_kpptkp_tk_p","context":null,"contextHi":null,"options":[{"key":"a","text":"k k t p","textHi":null,"imageUrl":null},{"key":"b","text":"ktpp","textHi":null,"imageUrl":null},{"key":"c","text":"kttt","textHi":null,"imageUrl":null},{"key":"d","text":"kttp","textHi":null,"imageUrl":null}],"correct":"b","sol":"Missing letters series\nThe string has 16 letters, so break it into four blocks of four: t _ p p / _ k p p / t k p _ / t k _ p.\nEvery block is the same group tkpp, and each blank is simply the letter missing from that block.\n $\"figure\"/$ \nReading the blanks from left to right gives k, t, p, p.\nHence, option (b) ktpp is the most appropriate answer.","solHi":"लुप्त अक्षर शृंखला\nशृंखला में 16 अक्षर हैं, अतः इसे चार-चार अक्षरों के चार खंडों में बाँटिए: t _ p p / _ k p p / t k p _ / t k _ p।\nप्रत्येक खंड एक ही समूह tkpp है तथा प्रत्येक रिक्त स्थान उसी खंड का लुप्त अक्षर है।\n $\"figure\"/$ \nरिक्त स्थानों को बाएँ से दाएँ पढ़ने पर k, t, p, p प्राप्त होता है।\nइसलिए सही विकल्प (b) ktpp है।","pos":2,"neg":0.5},{"id":7549,"n":49,"subject":"General Intelligence","stem":"A series is given with one term missing. Select the correct alternative from the given ones that will complete the series.\nOK34, JF136, EA544, ZV2176, ?","stemHi":"एक शृंखला दी गई है जिसमें एक पद लुप्त है। दिए गए विकल्पों में से वह सही विकल्प चुनिए जो शृंखला को पूर्ण करेगा।\nOK34, JF136, EA544, ZV2176, ?","context":null,"contextHi":null,"options":[{"key":"a","text":"UR8934","textHi":null,"imageUrl":null},{"key":"b","text":"TQ8604","textHi":null,"imageUrl":null},{"key":"c","text":"UQ8704","textHi":null,"imageUrl":null},{"key":"d","text":"TR8814","textHi":null,"imageUrl":null}],"correct":"c","sol":"$37","solHi":"$38","pos":2,"neg":0.5},{"id":7550,"n":50,"subject":"General Intelligence","stem":"A series is given with one term missing. Select the correct alternative from the given ones that will complete the series.\nNX32, QT97, TP292, WL877, ?","stemHi":"एक शृंखला दी गई है जिसमें एक पद लुप्त है। दिए गए विकल्पों में से वह सही विकल्प चुनिए जो शृंखला को पूर्ण करेगा।\nNX32, QT97, TP292, WL877, ?","context":null,"contextHi":null,"options":[{"key":"a","text":"YH2882","textHi":null,"imageUrl":null},{"key":"b","text":"ZH2632","textHi":null,"imageUrl":null},{"key":"c","text":"ZG2462","textHi":null,"imageUrl":null},{"key":"d","text":"YG2742","textHi":null,"imageUrl":null}],"correct":"b","sol":"$39","solHi":"$3a","pos":2,"neg":0.5},{"id":7551,"n":51,"subject":"Quantitative Aptitude","stem":"What percent of 280 is 70 ?","stemHi":"280 का कितने प्रतिशत 70 है?","context":null,"contextHi":null,"options":[{"key":"a","text":"

35 %

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

40 %

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

45 %

","textHi":null,"imageUrl":null},{"key":"d","text":"25%","textHi":null,"imageUrl":null}],"correct":"d","sol":"Percentage\nLet the required percentage be x.\nThen

\frac{x}{100} \times 280 = 70

.\n

x = \frac{70 \times 100}{280}

\nx=25\nHence, option (d) 25% is the most appropriate answer.","solHi":"प्रतिशत\nमाना कि अभीष्ट प्रतिशत x है।\nतब

\frac{x}{100} \times 280 = 70

।\n

x = \frac{70 \times 100}{280}

\nx=25\nइसलिए सही विकल्प (d) 25% है।","pos":2,"neg":0.5},{"id":7552,"n":52,"subject":"Quantitative Aptitude","stem":"If profit earned is 20% of the selling price, what is the profit percentage on cost price?","stemHi":"यदि अर्जित लाभ विक्रय मूल्य का 20% है, तो क्रय मूल्य पर लाभ प्रतिशत कितना है?","context":null,"contextHi":null,"options":[{"key":"a","text":"25%","textHi":null,"imageUrl":null},{"key":"b","text":"30%","textHi":null,"imageUrl":null},{"key":"c","text":"33.33%","textHi":null,"imageUrl":null},{"key":"d","text":"20%","textHi":null,"imageUrl":null}],"correct":"a","sol":"Profit percentage\nProfit is always taken as a percentage of the cost price, so first find the cost price.\nLet the selling price be 100; then the profit is 20% of it, i.e. 20.\nCost price = selling price − profit =100-20=80.\n $\"figure\"/$ \nProfit % on cost price

= \frac{20}{80} \times 100 = 25 %

.\nHence, option (a) is the most appropriate answer.","solHi":"लाभ प्रतिशत\nलाभ प्रतिशत सदैव क्रय मूल्य पर निकाला जाता है, अतः सबसे पहले क्रय मूल्य ज्ञात कीजिए।\nमाना कि विक्रय मूल्य 100 है; तब लाभ इसका 20% अर्थात् 20 है।\nक्रय मूल्य = विक्रय मूल्य − लाभ =100-20=80।\n $\"figure\"/$ \nक्रय मूल्य पर लाभ प्रतिशत

= \frac{20}{80} \times 100 = 25 %

।\nइसलिए सही विकल्प (a) है।","pos":2,"neg":0.5},{"id":7553,"n":53,"subject":"Quantitative Aptitude","stem":"What will be the simple interest on Rs. 1500 at 4% per annum for 3 years ?","stemHi":"Rs. 1500 पर 4% वार्षिक दर से 3 वर्षों का साधारण ब्याज कितना होगा?","context":null,"contextHi":null,"options":[{"key":"a","text":"Rs. 150.00","textHi":null,"imageUrl":null},{"key":"b","text":"Rs. 200.00","textHi":null,"imageUrl":null},{"key":"c","text":"Rs. 180.00","textHi":null,"imageUrl":null},{"key":"d","text":"Rs. 240.00","textHi":null,"imageUrl":null}],"correct":"c","sol":"Simple interest\nFormula:

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

, where P is the principal, R the rate and T the time.\nHere P=1500, R=4 and T=3.\n

S I = \frac{1500 \times 4 \times 3}{100} = \frac{18000}{100}

\nSI=180\nSo the simple interest is Rs. 180.00, i.e. option (c).","solHi":"साधारण ब्याज\nसूत्र:

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

, जहाँ P मूलधन, R दर तथा T समय है।\nयहाँ P=1500, R=4 तथा T=3 है।\n

S I = \frac{1500 \times 4 \times 3}{100} = \frac{18000}{100}

\nSI=180\nअतः साधारण ब्याज Rs. 180.00 है, इसलिए सही विकल्प (c) है।","pos":2,"neg":0.5},{"id":7554,"n":54,"subject":"Quantitative Aptitude","stem":"An artist uses a regular octagon to make a frame. If the side is 15 cm , what's the total border length ?","stemHi":"एक कलाकार एक फ्रेम बनाने के लिए सम अष्टभुज का उपयोग करता है। यदि भुजा 15 cm है, तो किनारे (बॉर्डर) की कुल लंबाई कितनी होगी?","context":null,"contextHi":null,"options":[{"key":"a","text":"150 cm","textHi":null,"imageUrl":null},{"key":"b","text":"120 cm","textHi":null,"imageUrl":null},{"key":"c","text":"130 cm","textHi":null,"imageUrl":null},{"key":"d","text":"140 cm","textHi":null,"imageUrl":null}],"correct":"b","sol":"Perimeter of octagon\nThe border of the frame runs all along the boundary, so its length is the perimeter of the octagon.\nA regular octagon has 8 equal sides, so perimeter

= 8 \times side

.\n $\"figure\"/$ \nPerimeter

= 8 \times 15 = 120

cm.\nHence, option (b) 120 cm is the most appropriate answer.","solHi":"अष्टभुज का परिमाप\nफ्रेम का किनारा पूरी सीमा के साथ-साथ चलता है, अतः उसकी लंबाई अष्टभुज का परिमाप है।\nसम अष्टभुज की 8 भुजाएँ बराबर होती हैं, अतः परिमाप

= 8 \times भुजा

।\n $\"figure\"/$ \nपरिमाप

= 8 \times 15 = 120

cm।\nइसलिए सही विकल्प (b) 120 cm है।","pos":2,"neg":0.5},{"id":7555,"n":55,"subject":"Quantitative Aptitude","stem":"If the curved surface area of a right circular cone is equal to twice the area of its base, find the slant height in terms of the radius.","stemHi":"यदि एक लंब वृत्तीय शंकु का वक्र पृष्ठीय क्षेत्रफल उसके आधार के क्षेत्रफल के दोगुने के बराबर है, तो तिर्यक ऊँचाई को त्रिज्या के पदों में ज्ञात कीजिए।","context":null,"contextHi":null,"options":[{"key":"a","text":"

l = r

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

l = 3 r

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

l = 2 r

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

l = 5 r

","textHi":null,"imageUrl":null}],"correct":"c","sol":"$3b","solHi":"$3c","pos":2,"neg":0.5},{"id":7556,"n":56,"subject":"Quantitative Aptitude","stem":"If the surface area of a hemisphere increases by 69%, by what approximate percent does the radius increase?","stemHi":"यदि एक अर्धगोले का पृष्ठीय क्षेत्रफल 69% बढ़ जाता है, तो त्रिज्या में लगभग कितने प्रतिशत की वृद्धि होती है?","context":null,"contextHi":null,"options":[{"key":"a","text":"10%","textHi":null,"imageUrl":null},{"key":"b","text":"30%","textHi":null,"imageUrl":null},{"key":"c","text":"20%","textHi":null,"imageUrl":null},{"key":"d","text":"25%","textHi":null,"imageUrl":null}],"correct":"b","sol":"$3d","solHi":"$3e","pos":2,"neg":0.5},{"id":7557,"n":57,"subject":"Quantitative Aptitude","stem":"The base of a regular right pyramid is an isosceles triangle with equal sides of 26 cm and a base of 20 cm . The slant height of the pyramid is 35 cm . Find the total surface area of the pyramid.","stemHi":"एक सम लंब पिरामिड का आधार एक समद्विबाहु त्रिभुज है जिसकी बराबर भुजाएँ 26 cm तथा आधार 20 cm है। पिरामिड की तिर्यक ऊँचाई 35 cm है। पिरामिड का कुल पृष्ठीय क्षेत्रफल ज्ञात कीजिए।","context":null,"contextHi":null,"options":[{"key":"a","text":"

1500 {cm}^{2}

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

1540 {cm}^{2}

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

1590 {cm}^{2}

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

1600 {cm}^{2}

","textHi":null,"imageUrl":null}],"correct":"a","sol":"$3f","solHi":"$40","pos":2,"neg":0.5},{"id":7558,"n":58,"subject":"Quantitative Aptitude","stem":"Two identical regular right pyramids, each with a square base of side 10 cm and a perpendicular height of 12 cm , are stacked one on top of the other such that their bases perfectly align. The top pyramid is inverted.Calculate the slant height of a single pyramid.","stemHi":"दो सर्वसम सम लंब पिरामिड, जिनमें से प्रत्येक का आधार 10 cm भुजा वाला वर्ग है तथा लंब ऊँचाई 12 cm है, एक-दूसरे के ऊपर इस प्रकार रखे गए हैं कि उनके आधार पूर्णतः मिल जाते हैं। ऊपर वाला पिरामिड उल्टा है। एक पिरामिड की तिर्यक ऊँचाई ज्ञात कीजिए।","context":null,"contextHi":null,"options":[{"key":"a","text":"5 cm","textHi":null,"imageUrl":null},{"key":"b","text":"12 cm","textHi":null,"imageUrl":null},{"key":"c","text":"10 cm","textHi":null,"imageUrl":null},{"key":"d","text":"13 cm","textHi":null,"imageUrl":null}],"correct":"d","sol":"$41","solHi":"$42","pos":2,"neg":0.5},{"id":7559,"n":59,"subject":"Quantitative Aptitude","stem":"If

\cot θ = \frac{7}{24}

, find

\cos θ

.","stemHi":"यदि

\cot θ = \frac{7}{24}

, तो

\cos θ

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

\frac{25}{7}

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

\frac{7}{25}

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

\frac{24}{25}

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

\frac{24}{7}

","textHi":null,"imageUrl":null}],"correct":"b","sol":"$43","solHi":"$44","pos":2,"neg":0.5},{"id":7560,"n":60,"subject":"Quantitative Aptitude","stem":"

X

and

Y

invest in a business in the ratio 3 : 5. If the total profit earned after a year is Rs. 1,60,000, how much profit will Y receive ?","stemHi":"

X

तथा

Y

एक व्यवसाय में 3 : 5 के अनुपात में निवेश करते हैं। यदि एक वर्ष बाद अर्जित कुल लाभ Rs. 1,60,000 है, तो Y को कितना लाभ प्राप्त होगा?","context":null,"contextHi":null,"options":[{"key":"a","text":"Rs.

1, 00, 000

","textHi":null,"imageUrl":null},{"key":"b","text":"Rs. 60,000","textHi":null,"imageUrl":null},{"key":"c","text":"Rs. 50,000","textHi":null,"imageUrl":null},{"key":"d","text":"Rs. 40,000","textHi":null,"imageUrl":null}],"correct":"a","sol":"Profit sharing ratio\nBoth partners invest for the same period of one year, so the profit is divided in the ratio of their investments, X : Y =3:5.\nTotal number of parts =3+5=8, and these 8 parts stand for Rs. 1,60,000.\n1 part

= \frac{160000}{8} = 20000

\n $\"figure\"/$ \nY's share

= 5 \times 20000 = 100000

, i.e. Rs. 1,00,000.\nHence, option (a) is the most appropriate answer.","solHi":"लाभ का अनुपात में विभाजन\nदोनों साझेदार समान अवधि (एक वर्ष) के लिए निवेश करते हैं, अतः लाभ उनके निवेश के अनुपात X : Y =3:5 में बँटेगा।\nकुल भाग =3+5=8, तथा ये 8 भाग Rs. 1,60,000 के बराबर हैं।\n1 भाग

= \frac{160000}{8} = 20000

\n $\"figure\"/$ \nY का हिस्सा

= 5 \times 20000 = 100000

, अर्थात् Rs. 1,00,000।\nइसलिए सही विकल्प (a) है।","pos":2,"neg":0.5},{"id":7561,"n":61,"subject":"Quantitative Aptitude","stem":"

K, L

, and M enter into a partnership. K invests Rs. 5,000 at the start. L invests Rs.7,000 after 3 months. M invests

Rs .9, 000

after 6 months. If the total profit at the end of the year is Rs.2,360, what is the share of M ?","stemHi":"

K, L

और M एक साझेदारी में प्रवेश करते हैं। K प्रारंभ में Rs. 5,000 निवेश करता है। L 3 महीने बाद Rs.7,000 निवेश करता है। M 6 महीने बाद

Rs .9, 000

निवेश करता है। यदि वर्ष के अंत में कुल लाभ Rs.2,360 है, तो M का हिस्सा कितना है?","context":null,"contextHi":null,"options":[{"key":"a","text":"Rs. 600","textHi":null,"imageUrl":null},{"key":"b","text":"Rs. 840","textHi":null,"imageUrl":null},{"key":"c","text":"Rs. 720","textHi":null,"imageUrl":null},{"key":"d","text":"Rs. 500","textHi":null,"imageUrl":null}],"correct":"c","sol":"$45","solHi":"$46","pos":2,"neg":0.5},{"id":7562,"n":62,"subject":"Quantitative Aptitude","stem":"What is the degree measure of an angle of

\frac{5 π}{2}

radians?","stemHi":"

\frac{5 π}{2}

रेडियन के कोण का डिग्री माप क्या है?","context":null,"contextHi":null,"options":[{"key":"a","text":"305°","textHi":null,"imageUrl":null},{"key":"b","text":"315°","textHi":null,"imageUrl":null},{"key":"c","text":"450°","textHi":null,"imageUrl":null},{"key":"d","text":"470°","textHi":null,"imageUrl":null}],"correct":"c","sol":"$47","solHi":"$48","pos":2,"neg":0.5},{"id":7563,"n":63,"subject":"Quantitative Aptitude","stem":"The average marks of 20 students in a class is 48.Later, 5 new students join the class, each scoring 60 marks.After this, the teacher finds that one of the original students' marks was wrongly entered as 28 instead of 68 . Find the final average marks of the class.","stemHi":"एक कक्षा में 20 विद्यार्थियों के औसत अंक 48 हैं। बाद में 5 नए विद्यार्थी कक्षा में सम्मिलित होते हैं, जिनमें से प्रत्येक के 60 अंक हैं। इसके बाद शिक्षक को पता चलता है कि आरंभिक विद्यार्थियों में से एक के अंक 68 के स्थान पर गलती से 28 दर्ज कर दिए गए थे। कक्षा के अंतिम औसत अंक ज्ञात कीजिए।","context":null,"contextHi":null,"options":[{"key":"a","text":"52","textHi":null,"imageUrl":null},{"key":"b","text":"55","textHi":null,"imageUrl":null},{"key":"c","text":"50","textHi":null,"imageUrl":null},{"key":"d","text":"54","textHi":null,"imageUrl":null}],"correct":"a","sol":"Average with correction\nTotal marks of the original 20 students

= 20 \times 48 = 960

\nThe 5 new students bring

5 \times 60 = 300

marks, so 25 students now have 960+300=1260 marks.\nOne mark was entered as 28 in place of 68, so the total is short by 68-28=40.\nCorrected total =1260+40=1300\n $\"figure\"/$ \nFinal average

= \frac{1300}{25} = 52

\nHence the correct option is (a).","solHi":"औसत एवं शुद्धिकरण\nआरंभिक 20 विद्यार्थियों के कुल अंक

= 20 \times 48 = 960

\n5 नए विद्यार्थी

5 \times 60 = 300

अंक जोड़ते हैं, अतः अब 25 विद्यार्थियों के कुल अंक 960+300=1260 हैं।\nएक विद्यार्थी के अंक 68 के स्थान पर 28 लिखे गए थे, अतः कुल में 68-28=40 की कमी है।\nशुद्ध कुल अंक =1260+40=1300\n $\"figure\"/$ \nअंतिम औसत

= \frac{1300}{25} = 52

\nअतः सही विकल्प (a) है।","pos":2,"neg":0.5},{"id":7564,"n":64,"subject":"Quantitative Aptitude","stem":"K can do a job in 20 days and L in 30 days. They work on alternate days starting with K . In how many days will the job be finished?","stemHi":"K एक कार्य को 20 दिनों में तथा L उसी कार्य को 30 दिनों में पूरा कर सकता है। वे K से आरंभ करते हुए एकांतर दिनों में कार्य करते हैं। कार्य कितने दिनों में पूरा होगा?","context":null,"contextHi":null,"options":[{"key":"a","text":"15 days","textHi":"15 दिन","imageUrl":null},{"key":"b","text":"

10 \frac{3}{4}

days","textHi":"

10 \frac{3}{4}

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

10 \frac{5}{6}

days","textHi":"

10 \frac{5}{6}

दिन","imageUrl":null},{"key":"d","text":"24 days","textHi":"24 दिन","imageUrl":null}],"correct":"d","sol":"$49","solHi":"$4a","pos":2,"neg":0.5},{"id":7565,"n":65,"subject":"Quantitative Aptitude","stem":"A right circular cone has a total surface area of

396 {cm}^{2}

and a radius of 7 cm .Find the slant height of the cone.","stemHi":"एक लंब वृत्तीय शंकु का संपूर्ण पृष्ठीय क्षेत्रफल

396 {cm}^{2}

है तथा त्रिज्या 7 cm है। शंकु की तिर्यक ऊँचाई ज्ञात कीजिए।","context":null,"contextHi":null,"options":[{"key":"a","text":"12 cm","textHi":null,"imageUrl":null},{"key":"b","text":"11 cm","textHi":null,"imageUrl":null},{"key":"c","text":"10 cm","textHi":null,"imageUrl":null},{"key":"d","text":"8 cm","textHi":null,"imageUrl":null}],"correct":"b","sol":"$4b","solHi":"$4c","pos":2,"neg":0.5},{"id":7566,"n":66,"subject":"Quantitative Aptitude","stem":"If

x - y = 5

and

x y = 36

, then what is the value of

x^{2} + y^{2}

?","stemHi":"यदि

x - y = 5

और

x y = 36

है, तो

x^{2} + y^{2}

का मान क्या है?","context":null,"contextHi":null,"options":[{"key":"a","text":"96","textHi":null,"imageUrl":null},{"key":"b","text":"94","textHi":null,"imageUrl":null},{"key":"c","text":"92","textHi":null,"imageUrl":null},{"key":"d","text":"97","textHi":null,"imageUrl":null}],"correct":"d","sol":"$4d","solHi":"$4e","pos":2,"neg":0.5},{"id":7567,"n":67,"subject":"Quantitative Aptitude","stem":"A vessel contained a mixture of milk and water.When 10 litres of water were added, the new mixture contained

40 %

milk.When 10 litres of milk were further added, the final mixture contained

50 %

milk. Find the ratio of water to milk in the original mixture.","stemHi":"एक बर्तन में दूध और पानी का मिश्रण था। जब उसमें 10 लीटर पानी मिलाया गया, तो नए मिश्रण में

40 %

दूध था। जब उसमें 10 लीटर दूध और मिलाया गया, तो अंतिम मिश्रण में

50 %

दूध था। मूल मिश्रण में पानी और दूध का अनुपात ज्ञात कीजिए।","context":null,"contextHi":null,"options":[{"key":"a","text":"

2 : 1

","textHi":null,"imageUrl":null},{"key":"b","text":"1 : 2","textHi":null,"imageUrl":null},{"key":"c","text":"1 : 1","textHi":null,"imageUrl":null},{"key":"d","text":"4 : 3","textHi":null,"imageUrl":null}],"correct":"c","sol":"$4f","solHi":"$50","pos":2,"neg":0.5},{"id":7568,"n":68,"subject":"Quantitative Aptitude","stem":"A circular embankment has a radius of 35 metres.A second concentric circular embankment is built around it with a width of 7 metres. Find the area of the region between the two embankments?","stemHi":"एक वृत्ताकार बाँध की त्रिज्या 35 मीटर है। उसके चारों ओर 7 मीटर चौड़ाई का एक दूसरा संकेंद्री वृत्ताकार बाँध बनाया जाता है। दोनों बाँधों के बीच के क्षेत्र का क्षेत्रफल ज्ञात कीजिए।","context":null,"contextHi":null,"options":[{"key":"a","text":"

1470 m^{2}

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

1694 m^{2}

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

1860 m^{2}

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

1450 m^{2}

","textHi":null,"imageUrl":null}],"correct":"b","sol":"$51","solHi":"$52","pos":2,"neg":0.5},{"id":7569,"n":69,"subject":"Quantitative Aptitude","stem":"If

a + b = 5

and

a - b = 3

, find the value of

a^{4} - b^{4}

.","stemHi":"यदि

a + b = 5

और

a - b = 3

है, तो

a^{4} - b^{4}

का मान ज्ञात कीजिए।","context":null,"contextHi":null,"options":[{"key":"a","text":"255","textHi":null,"imageUrl":null},{"key":"b","text":"235","textHi":null,"imageUrl":null},{"key":"c","text":"240","textHi":null,"imageUrl":null},{"key":"d","text":"235","textHi":null,"imageUrl":null}],"correct":"a","sol":"$53","solHi":"$54","pos":2,"neg":0.5},{"id":7570,"n":70,"subject":"Quantitative Aptitude","stem":"The value of

\frac{\sin θ + \cos θ - 1}{\sin θ - \cos θ + 1} \times \sqrt{\frac{1 + \sin θ}{1 - \sin θ}}

","stemHi":"

\frac{\sin θ + \cos θ - 1}{\sin θ - \cos θ + 1} \times \sqrt{\frac{1 + \sin θ}{1 - \sin θ}}

का मान है:","context":null,"contextHi":null,"options":[{"key":"a","text":"1","textHi":null,"imageUrl":null},{"key":"b","text":"-1","textHi":null,"imageUrl":null},{"key":"c","text":"-2","textHi":null,"imageUrl":null},{"key":"d","text":"2","textHi":null,"imageUrl":null}],"correct":"a","sol":"$55","solHi":"$56","pos":2,"neg":0.5},{"id":7571,"n":71,"subject":"Quantitative Aptitude","stem":"A train takes

2 \frac{1}{2}

hours less for a journey of 300 km, if its speed is increased by 20 km/h from its usual speed. How much time (in hours) will it take to cover a distance of 192 km at its usual speed ?","stemHi":"यदि किसी रेलगाड़ी की चाल उसकी सामान्य चाल से 20 km/h बढ़ा दी जाए, तो वह 300 km की यात्रा में

2 \frac{1}{2}

घंटे कम समय लेती है। सामान्य चाल से 192 km की दूरी तय करने में उसे कितना समय (घंटों में) लगेगा?","context":null,"contextHi":null,"options":[{"key":"a","text":"4.8","textHi":null,"imageUrl":null},{"key":"b","text":"2.4","textHi":null,"imageUrl":null},{"key":"c","text":"3","textHi":null,"imageUrl":null},{"key":"d","text":"6","textHi":null,"imageUrl":null}],"correct":"a","sol":"$57","solHi":"$58","pos":2,"neg":0.5},{"id":7572,"n":72,"subject":"Quantitative Aptitude","stem":"If

x

is the square of the number when (

\frac{2}{5}

6 \frac{1}{4} \div \frac{3}{7}

) of

1 \frac{2}{7}

is divided by

11 \frac{1}{4}

, then the value of

81 x

is:","stemHi":"यदि

x

उस संख्या का वर्ग है जो (

\frac{2}{5}

का

6 \frac{1}{4} \div \frac{3}{7}

) का

1 \frac{2}{7}

को

11 \frac{1}{4}

से भाग देने पर प्राप्त होती है, तो

81 x

का मान है:","context":null,"contextHi":null,"options":[{"key":"a","text":"36","textHi":null,"imageUrl":null},{"key":"b","text":"16","textHi":null,"imageUrl":null},{"key":"c","text":"9","textHi":null,"imageUrl":null},{"key":"d","text":"4","textHi":null,"imageUrl":null}],"correct":"a","sol":"$59","solHi":"$5a","pos":2,"neg":0.5},{"id":7573,"n":73,"subject":"Quantitative Aptitude","stem":"

\frac{\sqrt{50} - \sqrt{18}}{\sqrt{2}} =

?","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"3","textHi":null,"imageUrl":null},{"key":"b","text":"1","textHi":null,"imageUrl":null},{"key":"c","text":"2","textHi":null,"imageUrl":null},{"key":"d","text":"4","textHi":null,"imageUrl":null}],"correct":"c","sol":"Simplification of surds\nWrite each surd in its simplest form:

\sqrt{50} = \sqrt{25 \times 2} = 5 \sqrt{2}

and

\sqrt{18} = \sqrt{9 \times 2} = 3 \sqrt{2}

.\n

\frac{5 \sqrt{2} - 3 \sqrt{2}}{\sqrt{2}} = \frac{2 \sqrt{2}}{\sqrt{2}}

\n=2\nHence the correct option is (c).","solHi":"करणी का सरलीकरण\nप्रत्येक करणी को सरलतम रूप में लिखिए:

\sqrt{50} = \sqrt{25 \times 2} = 5 \sqrt{2}

तथा

\sqrt{18} = \sqrt{9 \times 2} = 3 \sqrt{2}

।\n

\frac{5 \sqrt{2} - 3 \sqrt{2}}{\sqrt{2}} = \frac{2 \sqrt{2}}{\sqrt{2}}

\n=2\nअतः सही विकल्प (c) है।","pos":2,"neg":0.5},{"id":7574,"n":74,"subject":"Quantitative Aptitude","stem":"The amount received on a certain sum at the same annual rate of interest after 3 years and 5 years on compound interest (compounding annually) is ₹ 13310 and ₹ 16105.09 respectively?","stemHi":"किसी निश्चित धनराशि पर समान वार्षिक ब्याज दर से चक्रवृद्धि ब्याज (वार्षिक रूप से संयोजित) पर 3 वर्ष और 5 वर्ष बाद प्राप्त मिश्रधन क्रमशः ₹ 13310 और ₹ 16105.09 है। वह धनराशि कितनी है?","context":null,"contextHi":null,"options":[{"key":"a","text":"Rs. 9500","textHi":null,"imageUrl":null},{"key":"b","text":"Rs. 9000","textHi":null,"imageUrl":null},{"key":"c","text":"Rs. 8000","textHi":null,"imageUrl":null},{"key":"d","text":"Rs. 10000","textHi":null,"imageUrl":null}],"correct":"d","sol":"$5b","solHi":"$5c","pos":2,"neg":0.5},{"id":7575,"n":75,"subject":"Quantitative Aptitude","stem":"Marked price of an article is 120 percent of the value of discount. Marked price is what percent of the selling price?","stemHi":"किसी वस्तु का अंकित मूल्य, छूट के मान का 120 प्रतिशत है। अंकित मूल्य, विक्रय मूल्य का कितना प्रतिशत है?","context":null,"contextHi":null,"options":[{"key":"a","text":"600 percent","textHi":"600 प्रतिशत","imageUrl":null},{"key":"b","text":"500 percent","textHi":"500 प्रतिशत","imageUrl":null},{"key":"c","text":"700 percent","textHi":"700 प्रतिशत","imageUrl":null},{"key":"d","text":"800 percent","textHi":"800 प्रतिशत","imageUrl":null}],"correct":"a","sol":"$5d","solHi":"अंकित मूल्य एवं छूट\nसब कुछ छूट से तुलना में दिया है, अतः माना कि छूट ₹100 है।\nअंकित मूल्य = छूट का

120 % = \frac{120}{100} \times 100 = 120

\nविक्रय मूल्य = अंकित मूल्य - छूट =120-100=20\n $\"figure\"/$ \nअभीष्ट प्रतिशत

= \frac{MP}{SP} \times 100 = \frac{120}{20} \times 100

= 6 \times 100 = 600 %

\nअतः सही विकल्प (a) है।","pos":2,"neg":0.5},{"id":7576,"n":76,"subject":"General Awareness","stem":"Which ruler became the sole female sovereign of the Delhi Sultanate during 1236-1240 A.D.?","stemHi":"1236-1240 ई. के दौरान कौन-सी शासक दिल्ली सल्तनत की एकमात्र महिला सम्राट बनीं?","context":null,"contextHi":null,"options":[{"key":"a","text":"Begum Hazrat Mahal","textHi":"बेगम हज़रत महल","imageUrl":null},{"key":"b","text":"Razia Sultana","textHi":"रज़िया सुल्ताना","imageUrl":null},{"key":"c","text":"Mumtaz Mahal","textHi":"मुमताज़ महल","imageUrl":null},{"key":"d","text":"Nur Jahan","textHi":"नूरजहाँ","imageUrl":null}],"correct":"b","sol":"Delhi Sultanate rulers\nRazia Sultana ruled from 1236 to 1240 A.D. and remains the only woman ever to sit on the throne of the Delhi Sultanate.\nShe was the daughter of Iltutmish of the Slave (Mamluk) dynasty, who chose her as his successor in preference to his own sons.\nShe gave up the veil, held open court and appointed officers on merit, which the Turkish nobility (the Chalisa) resented; she was deposed and killed in 1240.\nNur Jahan and Mumtaz Mahal were Mughal empresses, and Begum Hazrat Mahal led the Awadh resistance in the Revolt of 1857, so none of them ruled the Sultanate.\nHence the correct option is (b).","solHi":"दिल्ली सल्तनत के शासक\nरज़िया सुल्ताना ने 1236 से 1240 ई. तक शासन किया और वह दिल्ली सल्तनत की गद्दी पर बैठने वाली एकमात्र महिला रहीं।\nवह गुलाम (मामलूक) वंश के इल्तुतमिश की पुत्री थीं, जिन्होंने अपने पुत्रों के स्थान पर उन्हें अपना उत्तराधिकारी चुना।\nउन्होंने परदा त्याग दिया, खुला दरबार लगाया और योग्यता के आधार पर अधिकारी नियुक्त किए, जिससे तुर्की सरदार (चालीसा) नाराज़ हो गए; 1240 में उन्हें अपदस्थ कर मार डाला गया।\nनूरजहाँ और मुमताज़ महल मुग़ल साम्राज्ञियाँ थीं, तथा बेगम हज़रत महल ने 1857 के विद्रोह में अवध का नेतृत्व किया था, अतः इनमें से किसी ने सल्तनत पर शासन नहीं किया।\nअतः सही विकल्प (b) है।","pos":2,"neg":0.5},{"id":7577,"n":77,"subject":"General Awareness","stem":"In the Bhakti tradition of South India, how many Alvar saints are traditionally recognized?","stemHi":"दक्षिण भारत की भक्ति परंपरा में परंपरागत रूप से कितने आलवार संत माने जाते हैं?","context":null,"contextHi":null,"options":[{"key":"a","text":"18","textHi":null,"imageUrl":null},{"key":"b","text":"12","textHi":null,"imageUrl":null},{"key":"c","text":"36","textHi":null,"imageUrl":null},{"key":"d","text":"64","textHi":null,"imageUrl":null}],"correct":"b","sol":"Bhakti movement saints\nThe Bhakti tradition of the Tamil country traditionally recognises 12 Alvar saints, the devotees of Lord Vishnu, who flourished between about the 6th and 9th centuries A.D.\nTheir Tamil hymns, called Pasurams, were collected by Nathamuni as the Nalayira Divya Prabandham, the 'four thousand divine verses' that became a core text of Sri Vaishnavism.\nAndal was the only woman among the twelve, and Nammalvar is regarded as the greatest of them.\nThe parallel group of Shaiva saints, the Nayanars, numbered 63, so the figure that belongs to the Alvars is 12.\nHence the correct option is (b).","solHi":"भक्ति आंदोलन के संत\nदक्षिण भारत की भक्ति परंपरा में परंपरागत रूप से 12 आलवार संत माने जाते हैं, जो भगवान विष्णु के भक्त थे और लगभग 6वीं से 9वीं शताब्दी ई. के बीच हुए।\nउनके तमिल भजनों को, जिन्हें पासुरम कहा जाता है, नाथमुनि ने 'नालायिर दिव्य प्रबंधम्' (चार हज़ार दिव्य पद) के रूप में संकलित किया, जो श्रीवैष्णव संप्रदाय का प्रमुख ग्रंथ बना।\nइन बारह में आण्डाल एकमात्र महिला संत थीं और नम्मालवार को सबसे महान माना जाता है।\nशैव संतों का समानांतर समूह, नयनार, 63 थे, अतः आलवारों की संख्या 12 ही है।\nअतः सही विकल्प (b) है।","pos":2,"neg":0.5},{"id":7578,"n":78,"subject":"General Awareness","stem":"Which Article of the Indian Constitution guarantees minorities the right to set up and manage their own educational institutions?","stemHi":"भारतीय संविधान का कौन-सा अनुच्छेद अल्पसंख्यकों को अपनी शिक्षा संस्थाएँ स्थापित करने और उनका प्रशासन करने का अधिकार देता है?","context":null,"contextHi":null,"options":[{"key":"a","text":"Article 26","textHi":"अनुच्छेद 26","imageUrl":null},{"key":"b","text":"Article 21A","textHi":"अनुच्छेद 21A","imageUrl":null},{"key":"c","text":"Article 30","textHi":"अनुच्छेद 30","imageUrl":null},{"key":"d","text":"Article 32","textHi":"अनुच्छेद 32","imageUrl":null}],"correct":"c","sol":"Fundamental Rights\nArticle 30 gives every minority, whether based on religion or on language, the right to establish and administer educational institutions of its own choice.\nIt belongs to the Cultural and Educational Rights (Articles 29 and 30) inside Part III of the Constitution, and the State may not discriminate against such institutions while granting aid.\nArticle 29 protects the distinct language, script and culture of any section of citizens; Article 26 is the freedom to manage religious affairs; Article 21A makes free and compulsory education for children aged 6 to 14 a right; Article 32 is the right to constitutional remedies.\nHence the correct option is (c).","solHi":"मौलिक अधिकार\nअनुच्छेद 30 प्रत्येक अल्पसंख्यक वर्ग को, चाहे वह धर्म पर आधारित हो या भाषा पर, अपनी पसंद की शिक्षा संस्थाएँ स्थापित करने और उनका प्रशासन करने का अधिकार देता है।\nयह संविधान के भाग III में सांस्कृतिक और शैक्षिक अधिकारों (अनुच्छेद 29 एवं 30) के अंतर्गत आता है, और सहायता देते समय राज्य ऐसी संस्थाओं से भेदभाव नहीं कर सकता।\nअनुच्छेद 29 नागरिकों के किसी भी वर्ग की विशिष्ट भाषा, लिपि और संस्कृति की रक्षा करता है; अनुच्छेद 26 धार्मिक कार्यों के प्रबंधन की स्वतंत्रता है; अनुच्छेद 21A 6 से 14 वर्ष के बच्चों के लिए नि:शुल्क एवं अनिवार्य शिक्षा का अधिकार देता है; अनुच्छेद 32 संवैधानिक उपचारों का अधिकार है।\nअतः सही विकल्प (c) है।","pos":2,"neg":0.5},{"id":7579,"n":79,"subject":"General Awareness","stem":"Sanjiv Ranjan took charge as the Secretary-General of which international organisation starting January 1, 2025 ?","stemHi":"संजीव रंजन ने 1 जनवरी 2025 से किस अंतर्राष्ट्रीय संगठन के महासचिव के रूप में पदभार ग्रहण किया?","context":null,"contextHi":null,"options":[{"key":"a","text":"IORA","textHi":null,"imageUrl":null},{"key":"b","text":"BIMSTEC","textHi":null,"imageUrl":null},{"key":"c","text":"SCO","textHi":null,"imageUrl":null},{"key":"d","text":"G20","textHi":null,"imageUrl":null}],"correct":"a","sol":"International organisations\nSanjiv Ranjan, a 1993-batch Indian Foreign Service officer, took charge as Secretary-General of the Indian Ocean Rim Association (IORA) on 1 January 2025.\nIORA was founded in 1997 and works for economic cooperation, maritime safety, trade and disaster management among the countries of the Indian Ocean rim; its secretariat is at Ebene in Mauritius.\nIt began with 14 founding members, including India, and has since grown to 23 member states with several dialogue partners.\nBIMSTEC has its secretariat in Dhaka and the SCO in Beijing, while the G20 has no permanent secretariat at all, so none of them fits.\nHence the correct option is (a).","solHi":"अंतर्राष्ट्रीय संगठन\n1993 बैच के भारतीय विदेश सेवा अधिकारी संजीव रंजन ने 1 जनवरी 2025 को हिंद महासागर रिम एसोसिएशन (IORA) के महासचिव का पदभार ग्रहण किया।\nIORA की स्थापना 1997 में हुई थी और यह हिंद महासागर तटवर्ती देशों के बीच आर्थिक सहयोग, समुद्री सुरक्षा, व्यापार तथा आपदा प्रबंधन के लिए कार्य करता है; इसका सचिवालय मॉरीशस के एबेन में है।\nइसकी शुरुआत भारत सहित 14 संस्थापक सदस्यों से हुई थी और अब इसके 23 सदस्य देश तथा कई संवाद भागीदार हैं।\nBIMSTEC का सचिवालय ढाका में और SCO का बीजिंग में है, जबकि G20 का कोई स्थायी सचिवालय ही नहीं है, अतः इनमें से कोई भी सही नहीं है।\nअतः सही विकल्प (a) है।","pos":2,"neg":0.5},{"id":7580,"n":80,"subject":"General Awareness","stem":"The title "Flying Sikh" is famously linked with which Indian sports personality?","stemHi":""फ्लाइंग सिख" की उपाधि किस भारतीय खेल हस्ती से प्रसिद्ध रूप से जुड़ी है?","context":null,"contextHi":null,"options":[{"key":"a","text":"Neeraj Chopra","textHi":"नीरज चोपड़ा","imageUrl":null},{"key":"b","text":"Milkha Singh","textHi":"मिल्खा सिंह","imageUrl":null},{"key":"c","text":"Anju Bobby George","textHi":"अंजू बॉबी जॉर्ज","imageUrl":null},{"key":"d","text":"Dhanraj Pillay","textHi":"धनराज पिल्लै","imageUrl":null}],"correct":"b","sol":"Sports personalities\nThe title 'Flying Sikh' belongs to the sprinter Milkha Singh, India's finest quarter-miler.\nHe won gold in the 400 m at the Asian Games of 1958 and 1962 and gold in the 440 yards at the 1958 Commonwealth Games, India's first athletics gold there.\nAt the 1960 Rome Olympics he finished fourth in the 400 m final, missing a medal by a whisker but setting a national record that stood for close to forty years.\nThe name is said to have been given to him by General Ayub Khan of Pakistan after he beat Abdul Khaliq in Lahore.\nHence the correct option is (b).","solHi":"खेल हस्तियाँ\n'फ्लाइंग सिख' की उपाधि धावक मिल्खा सिंह की है, जो भारत के सर्वश्रेष्ठ 400 मीटर धावक थे।\nउन्होंने 1958 और 1962 के एशियाई खेलों में 400 मीटर में तथा 1958 के राष्ट्रमंडल खेलों में 440 गज दौड़ में स्वर्ण जीता, जो वहाँ भारत का पहला एथलेटिक्स स्वर्ण था।\n1960 के रोम ओलंपिक में वे 400 मीटर के फाइनल में चौथे स्थान पर रहे और बहुत थोड़े अंतर से पदक चूक गए, किंतु उन्होंने ऐसा राष्ट्रीय कीर्तिमान बनाया जो लगभग चालीस वर्ष तक कायम रहा।\nकहा जाता है कि लाहौर में अब्दुल खालिक को हराने के बाद पाकिस्तान के जनरल अयूब खान ने उन्हें यह नाम दिया था।\nअतः सही विकल्प (b) है।","pos":2,"neg":0.5},{"id":7581,"n":81,"subject":"General Awareness","stem":"In May 2025, which scientist received a one-year extension as Chairman of DRDO and Secretary, Department of Defence Research and Development (DDR&D)?","stemHi":"मई 2025 में, किस वैज्ञानिक को DRDO के अध्यक्ष तथा रक्षा अनुसंधान एवं विकास विभाग (DDR&D) के सचिव के पद पर एक वर्ष का सेवा-विस्तार प्राप्त हुआ?","context":null,"contextHi":null,"options":[{"key":"a","text":"Dr. V. K. Saraswat","textHi":null,"imageUrl":null},{"key":"b","text":"Dr. G. Satheesh Reddy","textHi":null,"imageUrl":null},{"key":"c","text":"Dr. Samir V. Kamat","textHi":null,"imageUrl":null},{"key":"d","text":"Dr. S. Christopher","textHi":null,"imageUrl":null}],"correct":"c","sol":"DRDO leadership\nIn May 2025 the Appointments Committee of the Cabinet gave Dr. Samir V. Kamat a further one-year extension as Secretary, Department of Defence Research and Development and Chairman, DRDO, covering 1 June 2025 to 31 May 2026.\nA metallurgical engineer from IIT Kharagpur with a doctorate from Ohio State University, he had taken charge of the dual post on 25 August 2022 after heading DRDO's Naval Systems and Materials cluster.\n $\"figure\"/$ \nDRDO itself dates from 1958, when the Defence Science Organisation was merged with the Technical Development Establishments of the Army; its headquarters is DRDO Bhawan, New Delhi.\nThe other three names are earlier Chairmen, not the officer whose tenure was extended in 2025.\nHence option (c) is correct.","solHi":"DRDO का नेतृत्व\nमई 2025 में मंत्रिमंडल की नियुक्ति समिति ने Dr. Samir V. Kamat को रक्षा अनुसंधान एवं विकास विभाग के सचिव तथा DRDO के अध्यक्ष के पद पर 1 जून 2025 से 31 मई 2026 तक एक वर्ष का और सेवा-विस्तार दिया।\nIIT Kharagpur से धातुकर्म अभियांत्रिकी तथा Ohio State University से पीएच.डी. करने वाले Dr. Kamat ने DRDO के नौसैनिक प्रणाली एवं सामग्री क्लस्टर का नेतृत्व करने के पश्चात् 25 अगस्त 2022 को यह दोहरा पदभार संभाला था।\n $\"figure\"/$ \nDRDO की स्थापना 1958 में हुई थी, जब रक्षा विज्ञान संगठन को थल सेना के तकनीकी विकास प्रतिष्ठानों के साथ मिला दिया गया; इसका मुख्यालय DRDO भवन, नई दिल्ली में है।\nशेष तीनों नाम पूर्ववर्ती अध्यक्षों के हैं, उस अधिकारी के नहीं जिन्हें 2025 में सेवा-विस्तार मिला।\nअतः सही विकल्प (c) है।","pos":2,"neg":0.5},{"id":7582,"n":82,"subject":"General Awareness","stem":"As announced in the Union Budget 2025-26, what is the total allocation for the Maritime Development Fund (in Crore) spread over a period of 10 years?","stemHi":"केंद्रीय बजट 2025-26 में की गई घोषणा के अनुसार, 10 वर्ष की अवधि में फैले समुद्री विकास कोष (Maritime Development Fund) हेतु कुल आवंटन (करोड़ में) कितना है?","context":null,"contextHi":null,"options":[{"key":"a","text":"15,000","textHi":null,"imageUrl":null},{"key":"b","text":"25,000","textHi":null,"imageUrl":null},{"key":"c","text":"40,000","textHi":null,"imageUrl":null},{"key":"d","text":"50,000","textHi":null,"imageUrl":null}],"correct":"b","sol":"Union Budget 2025-26\nThe Union Budget 2025-26 announced a Maritime Development Fund with a corpus of ₹25,000 crore, to be raised and spent over ten years.\nThe Centre will put in up to 49% of the corpus and the balance is to come from ports and the private sector, the fund giving long-tenure, low-cost finance to shipbuilding, ports and shipping.\nIt was announced along with a revamped Shipbuilding Financial Assistance Policy, shipbuilding clusters and the extension of the tonnage tax scheme to inland vessels, the aim being to lift India's share in global shipbuilding.\nHence option (b) is correct.","solHi":"केंद्रीय बजट 2025-26\nकेंद्रीय बजट 2025-26 में ₹25,000 करोड़ की निधि वाले समुद्री विकास कोष की घोषणा की गई, जिसे दस वर्ष की अवधि में जुटाया एवं व्यय किया जाना है।\nइस निधि में केंद्र सरकार का अंशदान 49% तक होगा तथा शेष राशि बंदरगाहों एवं निजी क्षेत्र से आएगी; यह कोष जहाज़ निर्माण, बंदरगाहों तथा पोत परिवहन को दीर्घावधि एवं सस्ता वित्त उपलब्ध कराएगा।\nइसके साथ ही संशोधित जहाज़ निर्माण वित्तीय सहायता नीति, जहाज़ निर्माण क्लस्टर तथा अंतर्देशीय जहाज़ों तक टनभार कर योजना का विस्तार भी घोषित किया गया, जिसका उद्देश्य वैश्विक जहाज़ निर्माण में भारत की हिस्सेदारी बढ़ाना है।\nअतः सही विकल्प (b) है।","pos":2,"neg":0.5},{"id":7583,"n":83,"subject":"General Awareness","stem":"The Multidimensional Vulnerability Index was released by which international body?","stemHi":"बहुआयामी भेद्यता सूचकांक (Multidimensional Vulnerability Index) किस अंतर्राष्ट्रीय संस्था द्वारा जारी किया गया था?","context":null,"contextHi":null,"options":[{"key":"a","text":"United Nations","textHi":"संयुक्त राष्ट्र","imageUrl":null},{"key":"b","text":"Asian Development Bank","textHi":"एशियाई विकास बैंक","imageUrl":null},{"key":"c","text":"World Economic Forum","textHi":"विश्व आर्थिक मंच","imageUrl":null},{"key":"d","text":"OECD","textHi":null,"imageUrl":null}],"correct":"a","sol":"International indices\nThe Multidimensional Vulnerability Index (MVI) is a United Nations index; it was drawn up by a High-Level Panel set up by the UN Secretary-General, serviced by UN-OHRLLS, and was endorsed by the UN General Assembly in 2024.\nIt scores a country on structural vulnerability and lack of resilience - economic, environmental and social - so that concessional finance can reach Small Island Developing States and other fragile economies whose need per-capita income alone hides.\nThe other bodies publish different products: the World Economic Forum brings out the Global Gender Gap and Global Risks reports, the OECD the Better Life Index, and the Asian Development Bank its regional outlooks.\nHence option (a) is correct.","solHi":"अंतर्राष्ट्रीय सूचकांक\nबहुआयामी भेद्यता सूचकांक (MVI) संयुक्त राष्ट्र का सूचकांक है; इसे संयुक्त राष्ट्र महासचिव द्वारा गठित उच्चस्तरीय पैनल ने UN-OHRLLS के सहयोग से तैयार किया तथा संयुक्त राष्ट्र महासभा ने 2024 में इसका अनुमोदन किया।\nयह किसी देश की संरचनात्मक भेद्यता एवं प्रत्यास्थता की कमी - आर्थिक, पर्यावरणीय तथा सामाजिक - को मापता है, ताकि रियायती वित्त उन लघु द्वीपीय विकासशील देशों एवं अन्य संवेदनशील अर्थव्यवस्थाओं तक पहुँच सके, जिनकी आवश्यकता केवल प्रति व्यक्ति आय से नहीं दिखती।\nशेष संस्थाएँ भिन्न रिपोर्ट प्रकाशित करती हैं: विश्व आर्थिक मंच ग्लोबल जेंडर गैप तथा ग्लोबल रिस्क्स रिपोर्ट, OECD बेटर लाइफ इंडेक्स तथा एशियाई विकास बैंक क्षेत्रीय आर्थिक परिदृश्य जारी करता है।\nअतः सही विकल्प (a) है।","pos":2,"neg":0.5},{"id":7584,"n":84,"subject":"General Awareness","stem":"India's top power producer NTPC launched the world's first plant that converts

{CO}_{2}

into methanol at its

____

facility.","stemHi":"भारत की सबसे बड़ी विद्युत उत्पादक कंपनी NTPC ने

{CO}_{2}

को मेथनॉल में परिवर्तित करने वाला विश्व का पहला संयंत्र अपने

____

स्थित परिसर में आरंभ किया।","context":null,"contextHi":null,"options":[{"key":"a","text":"Vindhyachal","textHi":"विंध्याचल","imageUrl":null},{"key":"b","text":"Surat","textHi":"सूरत","imageUrl":null},{"key":"c","text":"Bhopal","textHi":"भोपाल","imageUrl":null},{"key":"d","text":"Bhubaneswar","textHi":"भुवनेश्वर","imageUrl":null}],"correct":"a","sol":"Carbon capture by NTPC\nNTPC set up the world's first plant of its kind, which converts carbon dioxide captured from flue gas into methanol, at the Vindhyachal Super Thermal Power Station in Singrauli district of Madhya Pradesh.\nVindhyachal, rated at 4,760 MW, is the largest thermal power station in India, so it offers the steadiest stream of

C O_{2}

for such a unit.\nThe plant is a Carbon Capture and Utilisation (CCU) demonstration: instead of only storing the gas underground, it turns a greenhouse gas into methanol, a clean fuel and chemical feedstock.\nIt was dedicated in November 2024, on NTPC's Raising Day.\nHence option (a) is correct.","solHi":"NTPC द्वारा कार्बन प्रग्रहण\nNTPC ने फ़्लू गैस से प्रग्रहित कार्बन डाइऑक्साइड को मेथनॉल में बदलने वाला अपनी तरह का विश्व का पहला संयंत्र मध्य प्रदेश के सिंगरौली ज़िले में स्थित विंध्याचल सुपर ताप विद्युत परियोजना में स्थापित किया।\n4,760 MW क्षमता वाला विंध्याचल भारत का सबसे बड़ा ताप विद्युत संयंत्र है, अतः ऐसी इकाई के लिए यहाँ

C O_{2}

की सर्वाधिक निरंतर आपूर्ति उपलब्ध रहती है।\nयह संयंत्र कार्बन प्रग्रहण एवं उपयोग (CCU) का प्रदर्शन है: गैस को केवल भूमिगत संचित करने के स्थान पर यह एक ग्रीनहाउस गैस को मेथनॉल में, अर्थात् स्वच्छ ईंधन एवं रासायनिक कच्चे माल में बदल देता है।\nइसका लोकार्पण नवंबर 2024 में NTPC के स्थापना दिवस पर किया गया।\nअतः सही विकल्प (a) है।","pos":2,"neg":0.5},{"id":7585,"n":85,"subject":"General Awareness","stem":"Which of the following books is authored by Arundhati Roy?","stemHi":"निम्नलिखित में से कौन-सी पुस्तक Arundhati Roy द्वारा लिखी गई है?","context":null,"contextHi":null,"options":[{"key":"a","text":"The Alchemist","textHi":null,"imageUrl":null},{"key":"b","text":"Capitalism: A Ghost Story","textHi":null,"imageUrl":null},{"key":"c","text":"Flood of Fire","textHi":null,"imageUrl":null},{"key":"d","text":"To Kill a Mockingbird","textHi":null,"imageUrl":null}],"correct":"b","sol":"Books and authors\n'Capitalism: A Ghost Story' (2014) is a book-length essay by Arundhati Roy on corporate power, big philanthropy and inequality in India.\nRoy won the Booker Prize in 1997 for her first novel 'The God of Small Things'; her other works include 'The Ministry of Utmost Happiness', 'The Algebra of Infinite Justice' and 'Walking with the Comrades'.\n $\"figure\"/$ \nHence option (b) is correct.","solHi":"पुस्तकें एवं लेखक\n'Capitalism: A Ghost Story' (2014) Arundhati Roy का एक दीर्घ निबंध है, जिसमें भारत में कॉरपोरेट शक्ति, बड़े परोपकार-प्रतिष्ठानों तथा असमानता की समीक्षा की गई है।\nArundhati Roy को उनके प्रथम उपन्यास 'The God of Small Things' के लिए 1997 में Booker Prize मिला था; उनकी अन्य कृतियों में 'The Ministry of Utmost Happiness', 'The Algebra of Infinite Justice' तथा 'Walking with the Comrades' सम्मिलित हैं।\n $\"figure\"/$ \nअतः सही विकल्प (b) है।","pos":2,"neg":0.5},{"id":7586,"n":86,"subject":"General Awareness","stem":"Who wrote the book Shalimar the Clown?","stemHi":"'Shalimar the Clown' पुस्तक के लेखक कौन हैं?","context":null,"contextHi":null,"options":[{"key":"a","text":"Jhumpa Lahiri","textHi":null,"imageUrl":null},{"key":"b","text":"Kiran Desai","textHi":null,"imageUrl":null},{"key":"c","text":"Salman Rushdie","textHi":null,"imageUrl":null},{"key":"d","text":"Aravind Adiga","textHi":null,"imageUrl":null}],"correct":"c","sol":"Books and authors\n'Shalimar the Clown' (2005) is a novel by Salman Rushdie, set largely in Kashmir; it follows the village performer Shalimar as betrayal in love and the militancy in the valley turn him into an assassin.\nRushdie won the Booker Prize in 1981 for 'Midnight's Children'; his other well-known books are 'The Satanic Verses', 'The Moor's Last Sigh' and the memoir 'Joseph Anton'.\n $\"figure\"/$ \nHence option (c) is correct.","solHi":"पुस्तकें एवं लेखक\n'Shalimar the Clown' (2005) Salman Rushdie का उपन्यास है, जिसकी कथाभूमि मुख्यतः कश्मीर है; इसमें गाँव के कलाकार Shalimar की कहानी है, जो प्रेम में विश्वासघात तथा घाटी की उग्रवादी परिस्थितियों के कारण हत्यारा बन जाता है।\nSalman Rushdie को 1981 में 'Midnight's Children' के लिए Booker Prize मिला था; उनकी अन्य प्रसिद्ध कृतियाँ 'The Satanic Verses', 'The Moor's Last Sigh' तथा संस्मरण 'Joseph Anton' हैं।\n $\"figure\"/$ \nअतः सही विकल्प (c) है।","pos":2,"neg":0.5},{"id":7587,"n":87,"subject":"General Awareness","stem":"The people of the Indus Valley Civilization commonly used standardized\n

____

for construction.","stemHi":"सिंधु घाटी सभ्यता के लोग निर्माण कार्य के लिए सामान्यतः मानकीकृत\n

____

का प्रयोग करते थे।","context":null,"contextHi":null,"options":[{"key":"a","text":"burnt mud-bricks","textHi":"पकी हुई मिट्टी की ईंटें","imageUrl":null},{"key":"b","text":"timber","textHi":"इमारती लकड़ी","imageUrl":null},{"key":"c","text":"bamboo","textHi":"बाँस","imageUrl":null},{"key":"d","text":"marble","textHi":"संगमरमर","imageUrl":null}],"correct":"a","sol":"Harappan town planning\nHarappan builders used kiln-burnt mud-bricks cut to a fixed proportion, length : breadth : thickness in the ratio 4:2:1.\nThe same proportion, and often the very same sizes, are found at Harappa, Mohenjo-daro, Kalibangan and Lothal - hundreds of kilometres apart - which is why the civilisation is treated as the earliest example of standardised, planned building.\nBurnt bricks were chosen because they resist water, so they could be used for drains, wells, bathing platforms and the Great Bath; sun-dried mud bricks were kept for embankments and filling.\nTimber, bamboo and marble appear only in small or later contexts and were never standardised in this way.\nHence option (a) is correct.","solHi":"हड़प्पाई नगर नियोजन\nहड़प्पाई निर्माणकर्ता भट्ठे में पकी हुई ईंटों का प्रयोग करते थे, जिनकी लंबाई : चौड़ाई : मोटाई का अनुपात सदैव 4:2:1 रखा जाता था।\nयही अनुपात तथा प्रायः वही माप हड़प्पा, मोहनजोदड़ो, कालीबंगा एवं लोथल जैसे सैकड़ों किलोमीटर दूर स्थित स्थलों पर मिलते हैं, इसी कारण इस सभ्यता को मानकीकृत एवं नियोजित निर्माण का प्राचीनतम उदाहरण माना जाता है।\nपकी हुई ईंटें इसलिए चुनी गईं क्योंकि वे जल-प्रतिरोधी होती हैं, अतः इनका प्रयोग नालियों, कुओं, स्नान-चबूतरों तथा विशाल स्नानागार में किया गया; धूप में सुखाई गई कच्ची ईंटें बाँध एवं भराव के लिए रखी जाती थीं।\nइमारती लकड़ी, बाँस तथा संगमरमर केवल सीमित अथवा परवर्ती संदर्भों में मिलते हैं और इस प्रकार कभी मानकीकृत नहीं किए गए।\nअतः सही विकल्प (a) है।","pos":2,"neg":0.5},{"id":7588,"n":88,"subject":"General Awareness","stem":"In which Indian state or union territory is the 'Veerampattinam Festival' celebrated?","stemHi":"'वीरमपट्टिनम महोत्सव' भारत के किस राज्य अथवा केंद्र शासित प्रदेश में मनाया जाता है?","context":null,"contextHi":null,"options":[{"key":"a","text":"Kerala","textHi":"केरल","imageUrl":null},{"key":"b","text":"Puducherry","textHi":"पुडुचेरी","imageUrl":null},{"key":"c","text":"Goa","textHi":"गोवा","imageUrl":null},{"key":"d","text":"Andaman & Nicobar Islands","textHi":"अंडमान एवं निकोबार द्वीप समूह","imageUrl":null}],"correct":"b","sol":"Festivals of India\nVeerampattinam is a coastal fishing village about 8 km south of Puducherry town, and the car festival of its Sengazhuneer Amman temple is the largest local festival of that Union Territory.\nHeld in the Tamil month of Aadi (July-August), the temple car is drawn by thousands of devotees along the shore, and it is the one chariot festival of the region that is taken right up to the sea.\nThe fishing community takes the lead in pulling the car and prays for a safe sea and a good catch, which is why the festival is so closely tied to the coast.\nHence option (b) is correct.","solHi":"भारत के त्योहार\nवीरमपट्टिनम, पुडुचेरी नगर से लगभग 8 किमी दक्षिण में स्थित एक तटीय मछुआरा गाँव है और यहाँ के सेंगड़नीर अम्मन मंदिर का रथ महोत्सव इस केंद्र शासित प्रदेश का सबसे बड़ा स्थानीय पर्व है।\nतमिल मास आडी (जुलाई-अगस्त) में आयोजित इस उत्सव में हज़ारों श्रद्धालु मंदिर के रथ को समुद्र तट के साथ-साथ खींचते हैं; यह इस क्षेत्र का एकमात्र रथ उत्सव है जिसका रथ सीधे समुद्र तक ले जाया जाता है।\nरथ खींचने में मछुआरा समुदाय अग्रणी रहता है और सुरक्षित समुद्री यात्रा तथा अच्छी मत्स्य-प्राप्ति की कामना करता है, इसी कारण यह पर्व तट से गहराई से जुड़ा हुआ है।\nअतः सही विकल्प (b) है।","pos":2,"neg":0.5},{"id":7589,"n":89,"subject":"General Awareness","stem":"In the Indian space programme, what does the letter "G" in GSLV represent?","stemHi":"भारतीय अंतरिक्ष कार्यक्रम में, GSLV में अक्षर "G" किसका द्योतक है?","context":null,"contextHi":null,"options":[{"key":"a","text":"Geosynchronous","textHi":null,"imageUrl":null},{"key":"b","text":"Galactic","textHi":null,"imageUrl":null},{"key":"c","text":"Gravity","textHi":null,"imageUrl":null},{"key":"d","text":"Gemini","textHi":null,"imageUrl":null}],"correct":"a","sol":"ISRO launch vehicles\nGSLV stands for Geosynchronous Satellite Launch Vehicle, the ISRO rocket built to place heavy communication satellites in Geosynchronous Transfer Orbit (GTO).\nA geosynchronous orbit has a period of about 24 hours, equal to the earth's rotation, so the satellite keeps returning over the same longitude - exactly what a fixed dish antenna on the ground needs.\n $\"figure\"/$ \nGSLV Mk-II flies with an indigenous cryogenic upper stage; the heavier LVM3 carried Chandrayaan-2 and Chandrayaan-3, while the PSLV is used for polar and sun-synchronous orbits.\nHence option (a) is correct.","solHi":"ISRO के प्रक्षेपण यान\nGSLV का पूर्ण रूप Geosynchronous Satellite Launch Vehicle है, अर्थात् ISRO का वह रॉकेट जो भारी संचार उपग्रहों को भूतुल्यकाली अंतरण कक्षा (GTO) में स्थापित करने के लिए बनाया गया है।\nभूतुल्यकाली कक्षा का परिक्रमण काल लगभग 24 घंटे होता है, जो पृथ्वी के घूर्णन काल के बराबर है, अतः उपग्रह बार-बार उसी देशांतर के ऊपर आता है - भू-सतह पर स्थिर लगे डिश एंटीना के लिए यही आवश्यक है।\n $\"figure\"/$ \nGSLV Mk-II में स्वदेशी क्रायोजेनिक ऊपरी चरण लगा है; अधिक भारवाही LVM3 ने Chandrayaan-2 तथा Chandrayaan-3 का प्रक्षेपण किया, जबकि PSLV का उपयोग ध्रुवीय एवं सूर्य-तुल्यकाली कक्षाओं के लिए होता है।\nअतः सही विकल्प (a) है।","pos":2,"neg":0.5},{"id":7590,"n":90,"subject":"General Awareness","stem":"The magnitude of buoyant force on an object immersed in a fluid depends on the

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of the fluid.","stemHi":"किसी द्रव में डूबी हुई वस्तु पर लगने वाले उत्प्लावन बल का परिमाण उस द्रव के

____

पर निर्भर करता है।","context":null,"contextHi":null,"options":[{"key":"a","text":"colour","textHi":"रंग","imageUrl":null},{"key":"b","text":"density","textHi":"घनत्व","imageUrl":null},{"key":"c","text":"pressure","textHi":"दाब","imageUrl":null},{"key":"d","text":"refractive index","textHi":"अपवर्तनांक","imageUrl":null}],"correct":"b","sol":"$5e","solHi":"उत्प्लावकता एवं आर्किमिडीज़\nआर्किमिडीज़ के सिद्धांत के अनुसार उत्प्लावन बल विस्थापित द्रव के भार के बराबर होता है, अतः

F_{B} = ρ V g

, जहाँ

ρ

द्रव का घनत्व, V डूबे हुए भाग का आयतन तथा g गुरुत्वीय त्वरण है।\nइस सूत्र में द्रव का एकमात्र गुण

ρ

है: समान आयतन विस्थापित करने पर अधिक घनत्व वाले द्रव का भार अधिक होता है, अतः वह अधिक बल से ऊपर की ओर धकेलता है।\nइसी कारण जहाज़ नदी के जल की अपेक्षा समुद्री जल में अधिक ऊपर तैरता है तथा लोहे की कील जल में डूब जाती है किंतु पारे पर तैरती है।\nरंग एवं अपवर्तनांक प्रकाशिक गुण हैं तथा दाब भी गहराई के साथ घनत्व के कारण ही बदलता है, अतः इनमें से कोई निर्णायक कारक नहीं है।\nअतः सही विकल्प (b) है।","pos":2,"neg":0.5},{"id":7591,"n":91,"subject":"General Awareness","stem":"In the 18th century, the combined forces of Sikh 'Jathas' and 'Misls' were known as the

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?","stemHi":"18वीं शताब्दी में, सिख 'Jathas' तथा 'Misls' की संयुक्त सेनाएँ

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के नाम से जानी जाती थीं?","context":null,"contextHi":null,"options":[{"key":"a","text":"Sardars","textHi":null,"imageUrl":null},{"key":"b","text":"Dal Khalsa","textHi":null,"imageUrl":null},{"key":"c","text":"Purbias","textHi":null,"imageUrl":null},{"key":"d","text":"Marathas","textHi":null,"imageUrl":null}],"correct":"b","sol":"Rise of the Sikhs\nAt the Sarbat Khalsa held at Amritsar on Baisakhi in 1748, the scattered Sikh jathas were reorganised, on Nawab Kapur Singh's proposal, into one confederate army called the Dal Khalsa, with Jassa Singh Ahluwalia as its supreme commander.\nThe Dal Khalsa was divided into twelve misls, each holding its own territory under its own sardar but bound to fight together, chiefly against the invasions of Ahmad Shah Abdali.\nDecisions were taken collectively by the Sarbat Khalsa through a gurmata passed at the Akal Takht, which made it a political as well as a military body.\nThe misl system lasted until Ranjit Singh welded the misls into the Sikh Empire from 1799.\nHence option (b) is correct.","solHi":"सिख शक्ति का उत्थान\n1748 की बैसाखी पर अमृतसर में हुए सरबत खालसा में, नवाब कपूर सिंह के प्रस्ताव पर बिखरे हुए सिख जत्थों को पुनर्गठित करके एक संयुक्त सेना 'Dal Khalsa' बनाई गई, जिसके सर्वोच्च सेनापति जस्सा सिंह आहलूवालिया थे।\nदल खालसा बारह मिस्लों में विभाजित था; प्रत्येक मिस्ल अपने सरदार के अधीन अपना क्षेत्र रखती थी, किंतु सभी को मिलकर लड़ना होता था, विशेषतः अहमद शाह अब्दाली के आक्रमणों के विरुद्ध।\nनिर्णय सरबत खालसा द्वारा अकाल तख़्त पर पारित 'गुरमता' के माध्यम से सामूहिक रूप से लिए जाते थे, जिससे यह सैनिक ही नहीं, राजनीतिक संस्था भी बन गई।\nमिस्ल व्यवस्था तब तक चली जब तक 1799 से रणजीत सिंह ने मिस्लों को मिलाकर सिख साम्राज्य की स्थापना नहीं कर दी।\nअतः सही विकल्प (b) है।","pos":2,"neg":0.5},{"id":7592,"n":92,"subject":"General Awareness","stem":"Personal Disposable Income refers to the portion of total income that is available to the

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for spending or saving.","stemHi":"व्यक्तिगत प्रयोज्य आय (Personal Disposable Income) से तात्पर्य कुल आय के उस भाग से है जो व्यय अथवा बचत के लिए

____

के पास उपलब्ध रहता है।","context":null,"contextHi":null,"options":[{"key":"a","text":"households","textHi":"परिवारों","imageUrl":null},{"key":"b","text":"corporations","textHi":"निगमों","imageUrl":null},{"key":"c","text":"government","textHi":"सरकार","imageUrl":null},{"key":"d","text":"financial institutions","textHi":"वित्तीय संस्थानों","imageUrl":null}],"correct":"a","sol":"National income aggregates\nPersonal Disposable Income is what households are left with once the compulsory claims on personal income are met.\n

Personal Disposable Income = Personal Income - direct personal taxes - non - tax payments to government

\nThis is the income a household can actually divide between consumption and saving, so it is the base of the consumption function and of the household saving rate.\nCorporations, the government and financial institutions are producing or intermediating units; profits and revenue reaching them are not 'personal' income, so none of them fits the definition.\nHence option (a) is correct.","solHi":"राष्ट्रीय आय के समुच्चय\nव्यक्तिगत प्रयोज्य आय वह राशि है जो व्यक्तिगत आय पर लगने वाली अनिवार्य देयताएँ चुका देने के पश्चात् परिवारों के पास शेष रहती है।\n

Personal Disposable Income = Personal Income - direct personal taxes - non - tax payments to government

\nयही वह आय है जिसे परिवार वास्तव में उपभोग तथा बचत में बाँट सकता है, अतः उपभोग फलन तथा घरेलू बचत दर का आधार यही है।\nनिगम, सरकार तथा वित्तीय संस्थान उत्पादक अथवा मध्यस्थ इकाइयाँ हैं; उन्हें प्राप्त लाभ अथवा राजस्व 'व्यक्तिगत' आय नहीं होता, अतः इनमें से कोई भी परिभाषा पर खरा नहीं उतरता।\nअतः सही विकल्प (a) है।","pos":2,"neg":0.5},{"id":7593,"n":93,"subject":"General Awareness","stem":"Tantia Tope served as the commander of which of the following leaders during the 1857 revolt?","stemHi":"1857 के विद्रोह के दौरान Tantia Tope निम्नलिखित में से किस नेता के सेनापति के रूप में कार्यरत थे?","context":null,"contextHi":null,"options":[{"key":"a","text":"Nana Saheb","textHi":null,"imageUrl":null},{"key":"b","text":"Rani Laxmibai","textHi":null,"imageUrl":null},{"key":"c","text":"Bahadur Shah Zafar","textHi":null,"imageUrl":null},{"key":"d","text":"Tatya Banarasi","textHi":null,"imageUrl":null}],"correct":"a","sol":"Revolt of 1857\nTantia Tope (Ramchandra Panduranga Tope) was the chief military commander of Nana Saheb, the adopted son of the last Peshwa Baji Rao II, who led the revolt at Kanpur from June 1857.\n $\"figure\"/$ \nAfter Kanpur was lost he moved with his troops towards Jhansi and Kalpi, and in June 1858 he joined Rani Lakshmibai in the capture of Gwalior - so he fought alongside her, but served under Nana Saheb.\nHe carried on a guerrilla campaign in central India until he was betrayed, captured and executed at Shivpuri in April 1859.\nHence option (a) is correct.","solHi":"1857 का विद्रोह\nTantia Tope (रामचंद्र पांडुरंग टोपे) अंतिम पेशवा बाजीराव द्वितीय के दत्तक पुत्र Nana Saheb के प्रमुख सेनापति थे, जिन्होंने जून 1857 से कानपुर में विद्रोह का नेतृत्व किया।\n $\"figure\"/$ \nकानपुर हाथ से निकल जाने के बाद वे अपनी सेना लेकर झाँसी तथा कालपी की ओर बढ़े और जून 1858 में Rani Laxmibai के साथ मिलकर ग्वालियर पर अधिकार किया - अर्थात् वे उनके साथ लड़े अवश्य, किंतु सेनापति Nana Saheb के थे।\nइसके पश्चात् उन्होंने मध्य भारत में छापामार युद्ध जारी रखा और अंततः विश्वासघात से पकड़े जाकर अप्रैल 1859 में शिवपुरी में फाँसी दे दिए गए।\nअतः सही विकल्प (a) है।","pos":2,"neg":0.5},{"id":7594,"n":94,"subject":"General Awareness","stem":"In India, a project must have a minimum investment of Rs.

____

crore in plant and machinery to qualify for establishment as an Export-Oriented Unit (EOU).","stemHi":"भारत में, निर्यात-उन्मुख इकाई (EOU) के रूप में स्थापना हेतु पात्र होने के लिए किसी परियोजना में संयंत्र एवं मशीनरी में न्यूनतम

____

करोड़ रुपये का निवेश होना आवश्यक है।","context":null,"contextHi":null,"options":[{"key":"a","text":"2","textHi":null,"imageUrl":null},{"key":"b","text":"6","textHi":null,"imageUrl":null},{"key":"c","text":"1","textHi":null,"imageUrl":null},{"key":"d","text":"12","textHi":null,"imageUrl":null}],"correct":"c","sol":"Export-Oriented Units\nUnder the Export-Oriented Unit scheme, in force since 1981 and now covered by the Foreign Trade Policy, a project needs a minimum investment of ₹1 crore in plant and machinery before it can be approved as an EOU.\nThe floor is waived for units in software technology parks, electronics hardware technology parks and biotechnology parks, and for handicrafts, agriculture, floriculture, aquaculture, animal husbandry, IT and services units.\nAn EOU may be set up anywhere in the country, unlike a SEZ unit which must be inside the notified zone; in return it exports its entire production and gets duty-free import of inputs and capital goods.\nHence option (c) is correct.","solHi":"निर्यात-उन्मुख इकाइयाँ\nनिर्यात-उन्मुख इकाई योजना, जो 1981 से लागू है तथा अब विदेश व्यापार नीति के अंतर्गत आती है, के अनुसार किसी परियोजना को EOU के रूप में स्वीकृति पाने के लिए संयंत्र एवं मशीनरी में न्यूनतम ₹1 करोड़ का निवेश आवश्यक है।\nसॉफ़्टवेयर प्रौद्योगिकी पार्क, इलेक्ट्रॉनिक्स हार्डवेयर प्रौद्योगिकी पार्क तथा जैव प्रौद्योगिकी पार्क की इकाइयों को, और हस्तशिल्प, कृषि, पुष्पकृषि, जलकृषि, पशुपालन, IT एवं सेवा क्षेत्र की इकाइयों को इस न्यूनतम सीमा से छूट प्राप्त है।\nEOU देश में कहीं भी स्थापित की जा सकती है, जबकि SEZ इकाई अधिसूचित क्षेत्र के भीतर ही होनी चाहिए; इसके बदले EOU को अपना संपूर्ण उत्पादन निर्यात करना होता है और उसे कच्चे माल तथा पूँजीगत वस्तुओं का शुल्क-मुक्त आयात मिलता है।\nअतः सही विकल्प (c) है।","pos":2,"neg":0.5},{"id":7595,"n":95,"subject":"General Awareness","stem":"After being passed by a State Legislature in India, a Bill is sent to the Governor under

____

for assent.","stemHi":"भारत में राज्य विधानमंडल द्वारा पारित किए जाने के पश्चात्, कोई विधेयक अनुमति हेतु

____

के अंतर्गत राज्यपाल के पास भेजा जाता है।","context":null,"contextHi":null,"options":[{"key":"a","text":"Article 201","textHi":"अनुच्छेद 201","imageUrl":null},{"key":"b","text":"Article 202","textHi":"अनुच्छेद 202","imageUrl":null},{"key":"c","text":"Article 200","textHi":"अनुच्छेद 200","imageUrl":null},{"key":"d","text":"Article 204","textHi":"अनुच्छेद 204","imageUrl":null}],"correct":"c","sol":"Governor's assent to Bills\nArticle 200 deals with a Bill that has been passed by the Legislature of a State: it is presented to the Governor, who may give assent, withhold assent, return the Bill (if it is not a Money Bill) for reconsideration, or reserve it for the consideration of the President.\nIf the House passes the returned Bill again, with or without amendment, the Governor is bound to give assent - so the return is a delaying power, not a veto.\n $\"figure\"/$ \nArticle 201 takes over only after a Bill is reserved, and Articles 202 and 204 are about the State budget and appropriation, not about assent.\nHence option (c) is correct.","solHi":"विधेयकों पर राज्यपाल की अनुमति\nअनुच्छेद 200 राज्य विधानमंडल द्वारा पारित विधेयक से संबंधित है: ऐसा विधेयक राज्यपाल के समक्ष प्रस्तुत किया जाता है, जो अनुमति दे सकता है, अनुमति रोक सकता है, धन विधेयक न होने पर उसे पुनर्विचार हेतु लौटा सकता है अथवा राष्ट्रपति के विचारार्थ आरक्षित कर सकता है।\nयदि सदन लौटाए गए विधेयक को संशोधन सहित या बिना संशोधन पुनः पारित कर देता है, तो राज्यपाल को अनुमति देनी ही पड़ती है - अर्थात् लौटाने की शक्ति विलंब की शक्ति है, निषेधाधिकार नहीं।\n $\"figure\"/$ \nअनुच्छेद 201 तभी लागू होता है जब विधेयक आरक्षित कर दिया जाए, तथा अनुच्छेद 202 एवं 204 राज्य के बजट और विनियोग से संबंधित हैं, अनुमति से नहीं।\nअतः सही विकल्प (c) है।","pos":2,"neg":0.5},{"id":7596,"n":96,"subject":"General Awareness","stem":"Which port is located at the mouth of the Zuari estuary?","stemHi":"जुआरी (Zuari) नदी के ज्वारनदमुख पर कौन-सा बंदरगाह स्थित है?","context":null,"contextHi":null,"options":[{"key":"a","text":"Kochi Port","textHi":"कोच्चि बंदरगाह","imageUrl":null},{"key":"b","text":"Marmagao Port","textHi":"मार्मागोवा बंदरगाह","imageUrl":null},{"key":"c","text":"Chennai Port","textHi":"चेन्नई बंदरगाह","imageUrl":null},{"key":"d","text":"Visakhapatnam Port","textHi":"विशाखापत्तनम बंदरगाह","imageUrl":null}],"correct":"b","sol":"Major ports of India\nMarmagao (Mormugao) Port stands on the headland at the mouth of the Zuari estuary in Goa, on the Arabian Sea coast; the Zuari and the Mandovi are Goa's two main rivers.\nIt is a natural harbour sheltered by a breakwater, developed by the Portuguese from 1885, and for decades it was India's leading iron-ore exporting port, fed by rail from the Goa-Karnataka ore belt.\nThe other options lie elsewhere: Kochi is on the Vembanad backwaters, Chennai is an artificial harbour on the Coromandel coast, and Visakhapatnam is a landlocked natural harbour on the east coast.\nHence option (b) is correct.","solHi":"भारत के प्रमुख बंदरगाह\nमार्मागोवा (मुरगाँव) बंदरगाह गोवा में अरब सागर तट पर जुआरी नदी के ज्वारनदमुख पर स्थित अंतरीप पर बसा है; जुआरी तथा मांडवी गोवा की दो प्रमुख नदियाँ हैं।\nयह तरंग-रोधक द्वारा सुरक्षित एक प्राकृतिक बंदरगाह है, जिसे पुर्तगालियों ने 1885 से विकसित किया; दशकों तक यह भारत का सर्वप्रमुख लौह-अयस्क निर्यातक बंदरगाह रहा, जिसे गोवा-कर्नाटक अयस्क पट्टी से रेल द्वारा आपूर्ति मिलती थी।\nशेष विकल्प अन्यत्र स्थित हैं: कोच्चि वेम्बनाड कयाल पर, चेन्नई कोरोमंडल तट पर बना कृत्रिम बंदरगाह तथा विशाखापत्तनम पूर्वी तट का स्थलबद्ध प्राकृतिक बंदरगाह है।\nअतः सही विकल्प (b) है।","pos":2,"neg":0.5},{"id":7597,"n":97,"subject":"General Awareness","stem":"In which year was India's Ninth Five-Year Plan launched?","stemHi":"भारत की नौवीं पंचवर्षीय योजना किस वर्ष आरंभ की गई थी?","context":null,"contextHi":null,"options":[{"key":"a","text":"1987","textHi":null,"imageUrl":null},{"key":"b","text":"1990","textHi":null,"imageUrl":null},{"key":"c","text":"1997","textHi":null,"imageUrl":null},{"key":"d","text":"2000","textHi":null,"imageUrl":null}],"correct":"c","sol":"Five-Year Plans\nThe Ninth Five-Year Plan ran from 1997 to 2002 and was launched in the fiftieth year of Independence, with the theme 'Growth with Social Justice and Equity'.\n $\"figure\"/$ \nIt aimed at about 6.5% annual growth and achieved close to 5.4%, and it put the seven Basic Minimum Services - safe drinking water, primary health, primary education, housing, nutrition, connectivity and the public distribution system - at the centre of planning.\nIt also came after the two-year plan holiday of 1990-92, which is why the Eighth Plan began only in 1992 and the Ninth in 1997.\nHence option (c) is correct.","solHi":"पंचवर्षीय योजनाएँ\nनौवीं पंचवर्षीय योजना 1997 से 2002 तक चली और स्वतंत्रता के पचासवें वर्ष में आरंभ हुई; इसका मूल विषय 'सामाजिक न्याय एवं समता सहित विकास' था।\n $\"figure\"/$ \nइसमें लगभग 6.5% वार्षिक वृद्धि का लक्ष्य रखा गया था और लगभग 5.4% वृद्धि प्राप्त हुई; इस योजना ने सात मूलभूत न्यूनतम सेवाओं - स्वच्छ पेयजल, प्राथमिक स्वास्थ्य, प्राथमिक शिक्षा, आवास, पोषण, सड़क संपर्क तथा सार्वजनिक वितरण प्रणाली - को नियोजन के केंद्र में रखा।\nयह योजना 1990-92 के दो वर्ष के 'योजना अवकाश' के बाद की कड़ी है, इसी कारण आठवीं योजना 1992 में तथा नौवीं योजना 1997 में आरंभ हुई।\nअतः सही विकल्प (c) है।","pos":2,"neg":0.5},{"id":7598,"n":98,"subject":"General Awareness","stem":"Desert plants usually absorb carbon dioxide at what time?\nI. Daytime\nII. Nighttime","stemHi":"मरुस्थलीय पौधे सामान्यतः किस समय कार्बन डाइऑक्साइड का अवशोषण करते हैं?\nI. दिन के समय\nII. रात्रि के समय","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":"b","sol":"$5f","solHi":"$60","pos":2,"neg":0.5},{"id":7599,"n":99,"subject":"General Awareness","stem":"Which part of the brain is responsible for precise voluntary movements and maintaining posture and balance?","stemHi":"मस्तिष्क का कौन-सा भाग सटीक ऐच्छिक गतियों तथा शारीरिक मुद्रा एवं संतुलन बनाए रखने के लिए उत्तरदायी है?","context":null,"contextHi":null,"options":[{"key":"a","text":"Frontal lobe","textHi":"ललाट पालि","imageUrl":null},{"key":"b","text":"Cerebellum","textHi":"अनुमस्तिष्क","imageUrl":null},{"key":"c","text":"Pons","textHi":"पोंस","imageUrl":null},{"key":"d","text":"Temporal lobe","textHi":"शंख पालि","imageUrl":null}],"correct":"b","sol":"Parts of the brain\nThe cerebellum - the 'little brain' lying behind the pons and below the back of the cerebrum - coordinates precise voluntary movement and maintains posture and equilibrium.\nIt compares the movement ordered by the motor cortex with the actual position reported by the muscles, joints and the inner ear, and corrects the difference, which is why its damage causes a staggering gait and loss of balance rather than paralysis.\nThe frontal lobe initiates voluntary movement and handles reasoning, the temporal lobe deals with hearing and memory, and the pons is mainly a relay between the medulla and the cerebellum.\nHence option (b) is correct.","solHi":"मस्तिष्क के भाग\nअनुमस्तिष्क - पोंस के पीछे तथा प्रमस्तिष्क के पश्च भाग के नीचे स्थित 'लघु मस्तिष्क' - सटीक ऐच्छिक गतियों का समन्वय करता है और शारीरिक मुद्रा एवं संतुलन बनाए रखता है।\nयह प्रेरक कॉर्टेक्स द्वारा दिए गए गति-आदेश की तुलना पेशियों, संधियों तथा अंतःकर्ण से प्राप्त वास्तविक स्थिति से करके अंतर का सुधार करता है, इसी कारण इसके क्षतिग्रस्त होने पर लकवा नहीं, बल्कि लड़खड़ाती चाल तथा संतुलन की हानि होती है।\nललाट पालि ऐच्छिक गति आरंभ करती है तथा तर्क-विवेक संभालती है, शंख पालि श्रवण एवं स्मृति से संबंधित है और पोंस मुख्यतः मेडुला तथा अनुमस्तिष्क के बीच संवाहक का कार्य करता है।\nअतः सही विकल्प (b) है।","pos":2,"neg":0.5},{"id":7600,"n":100,"subject":"General Awareness","stem":"Samudragupta commemorated his military achievements by conducting which Vedic sacrifice?","stemHi":"समुद्रगुप्त ने अपनी सैन्य उपलब्धियों के स्मरण हेतु कौन-सा वैदिक यज्ञ संपन्न किया था?","context":null,"contextHi":null,"options":[{"key":"a","text":"Rajasuya","textHi":"राजसूय","imageUrl":null},{"key":"b","text":"Vajapeya","textHi":"वाजपेय","imageUrl":null},{"key":"c","text":"Soma Yajna","textHi":"सोम यज्ञ","imageUrl":null},{"key":"d","text":"Ashvamedha","textHi":"अश्वमेध","imageUrl":null}],"correct":"d","sol":"Gupta empire\nSamudragupta (c. 335-375 CE) marked his conquests by performing the Ashvamedha, the horse sacrifice by which a ruler claimed paramount sovereignty.\nThe proof is his special Ashvamedha-type gold coins showing the horse before the sacrificial post, and the Gupta records that call him the restorer of the horse sacrifice 'long in abeyance'.\nIn the rite a horse was let loose for a year with the army following it, and every ruler whose land it entered had to submit or fight - so the sacrifice was a public statement of the conquests that had gone before it.\nRajasuya was the royal consecration, Vajapeya a chariot-race rite of renewal, and Soma yajna the general class of soma offerings; none of these was the victory sacrifice.\nHence option (d) is correct.","solHi":"गुप्त साम्राज्य\nसमुद्रगुप्त (लगभग 335-375 ई.) ने अपनी विजयों के स्मरण में अश्वमेध यज्ञ किया, जिसके द्वारा कोई शासक सार्वभौम प्रभुसत्ता का दावा करता था।\nइसका प्रमाण उनके विशेष अश्वमेध-प्रकार के स्वर्ण सिक्के हैं, जिन पर यूप के समक्ष अश्व अंकित है, तथा वे गुप्त अभिलेख हैं जो उन्हें 'दीर्घकाल से लुप्त' अश्वमेध यज्ञ के पुनरुद्धारक कहते हैं।\nइस यज्ञ में एक अश्व को सेना के साथ एक वर्ष तक स्वतंत्र छोड़ा जाता था और जिस भी शासक के क्षेत्र में वह प्रवेश करता, उसे या तो अधीनता स्वीकार करनी होती थी या युद्ध करना पड़ता था - इस प्रकार यह यज्ञ पूर्व में हुई विजयों की सार्वजनिक घोषणा था।\nराजसूय राज्याभिषेक यज्ञ था, वाजपेय रथ-दौड़ से जुड़ा नवीकरण यज्ञ था तथा सोम यज्ञ सोम-आहुतियों की सामान्य श्रेणी थी; इनमें से कोई भी विजय-यज्ञ नहीं था।\nअतः सही विकल्प (d) है।","pos":2,"neg":0.5}],"test":{"slug":"ssc-chsl-tier-1--27-nov-2025-shift-2","title":"SSC CHSL Tier-1 27 November 2025 Shift-2 Previous Year Paper","examName":"CHSL Tier-1","paperLabel":"27 November 2025 · Shift 2","sectionSubject":null,"durationMinutes":60,"format":"full_test"}}]