28:I[81166,["/_next/static/immutable/chunks/2corl6wyj4669.js","/_next/static/immutable/chunks/38n271cv4vmyv.js","/_next/static/immutable/chunks/2pf73jja2520w.js"],"default"] 29:T42c,Active to passive voice Strip the sentence to its main clause: 'The dedicated group of scientists ... finally published their findings.' The relative clause 'who had been examining the data for a long time' merely describes the subject and is carried over unchanged. The main verb 'published' is simple past, so the passive of simple past is 'was/were + past participle'; the object 'their findings' is plural, hence 'were published'.

This gives: Their findings were finally published by the dedicated group of scientists, who had been examining the data for a long time. Options (b) and (c) wrongly use 'had been published' and 'have been published', which belong to the past perfect and present perfect; option (d) exchanges the subject and object and makes nonsense of the meaning. Hence option (a) is the correct answer.2a:T597,Directions (Qs. 15-19): Read the following passage carefully and answer the questions that follow. National Farmers' Day, observed every year on 23rd December, commemorates the birth anniversary of Chaudhary Charan Singh. It highlights the importance of India's agriculture sector, which represents not just food security but also rural stability and economic growth. India is home to millions of small farmers, many of them working in diverse climatic zones. Each state contributes a unique crop variety: such as Basmati rice, Alphonso mangoes, and Darjeeling tea, reflecting the soil, seasons, and labor of its growers. Despite its vital role, the farming sector faces significant hurdles. With rising costs of chemical fertilizers, traditional cultivators are struggling to maintain their profits. Government schemes, like soil health cards, aim to improve yields and reduce the dependency on harmful inputs. However, access to fair prices and cold storage remains limited for many producers. National Farmers' Day is more than ceremonial. It reminds us that prioritizing agriculture supports food sovereignty, rural development, and environmental health. As consumer awareness grows around organic produce, farm-fresh goods offer a healthy alternative to processed foods. By buying local produce, we are not only sustaining a vital industry but also boosting incomes and encouraging chemically-free farming.2b:T597,Directions (Qs. 15-19): Read the following passage carefully and answer the questions that follow. National Farmers' Day, observed every year on 23rd December, commemorates the birth anniversary of Chaudhary Charan Singh. It highlights the importance of India's agriculture sector, which represents not just food security but also rural stability and economic growth. India is home to millions of small farmers, many of them working in diverse climatic zones. Each state contributes a unique crop variety: such as Basmati rice, Alphonso mangoes, and Darjeeling tea, reflecting the soil, seasons, and labor of its growers. Despite its vital role, the farming sector faces significant hurdles. With rising costs of chemical fertilizers, traditional cultivators are struggling to maintain their profits. Government schemes, like soil health cards, aim to improve yields and reduce the dependency on harmful inputs. However, access to fair prices and cold storage remains limited for many producers. National Farmers' Day is more than ceremonial. It reminds us that prioritizing agriculture supports food sovereignty, rural development, and environmental health. As consumer awareness grows around organic produce, farm-fresh goods offer a healthy alternative to processed foods. By buying local produce, we are not only sustaining a vital industry but also boosting incomes and encouraging chemically-free farming.2c:T597,Directions (Qs. 15-19): Read the following passage carefully and answer the questions that follow. National Farmers' Day, observed every year on 23rd December, commemorates the birth anniversary of Chaudhary Charan Singh. It highlights the importance of India's agriculture sector, which represents not just food security but also rural stability and economic growth. India is home to millions of small farmers, many of them working in diverse climatic zones. Each state contributes a unique crop variety: such as Basmati rice, Alphonso mangoes, and Darjeeling tea, reflecting the soil, seasons, and labor of its growers. Despite its vital role, the farming sector faces significant hurdles. With rising costs of chemical fertilizers, traditional cultivators are struggling to maintain their profits. Government schemes, like soil health cards, aim to improve yields and reduce the dependency on harmful inputs. However, access to fair prices and cold storage remains limited for many producers. National Farmers' Day is more than ceremonial. It reminds us that prioritizing agriculture supports food sovereignty, rural development, and environmental health. As consumer awareness grows around organic produce, farm-fresh goods offer a healthy alternative to processed foods. By buying local produce, we are not only sustaining a vital industry but also boosting incomes and encouraging chemically-free farming.2d:T597,Directions (Qs. 15-19): Read the following passage carefully and answer the questions that follow. National Farmers' Day, observed every year on 23rd December, commemorates the birth anniversary of Chaudhary Charan Singh. It highlights the importance of India's agriculture sector, which represents not just food security but also rural stability and economic growth. India is home to millions of small farmers, many of them working in diverse climatic zones. Each state contributes a unique crop variety: such as Basmati rice, Alphonso mangoes, and Darjeeling tea, reflecting the soil, seasons, and labor of its growers. Despite its vital role, the farming sector faces significant hurdles. With rising costs of chemical fertilizers, traditional cultivators are struggling to maintain their profits. Government schemes, like soil health cards, aim to improve yields and reduce the dependency on harmful inputs. However, access to fair prices and cold storage remains limited for many producers. National Farmers' Day is more than ceremonial. It reminds us that prioritizing agriculture supports food sovereignty, rural development, and environmental health. As consumer awareness grows around organic produce, farm-fresh goods offer a healthy alternative to processed foods. By buying local produce, we are not only sustaining a vital industry but also boosting incomes and encouraging chemically-free farming.2e:T597,Directions (Qs. 15-19): Read the following passage carefully and answer the questions that follow. National Farmers' Day, observed every year on 23rd December, commemorates the birth anniversary of Chaudhary Charan Singh. It highlights the importance of India's agriculture sector, which represents not just food security but also rural stability and economic growth. India is home to millions of small farmers, many of them working in diverse climatic zones. Each state contributes a unique crop variety: such as Basmati rice, Alphonso mangoes, and Darjeeling tea, reflecting the soil, seasons, and labor of its growers. Despite its vital role, the farming sector faces significant hurdles. With rising costs of chemical fertilizers, traditional cultivators are struggling to maintain their profits. Government schemes, like soil health cards, aim to improve yields and reduce the dependency on harmful inputs. However, access to fair prices and cold storage remains limited for many producers. National Farmers' Day is more than ceremonial. It reminds us that prioritizing agriculture supports food sovereignty, rural development, and environmental health. As consumer awareness grows around organic produce, farm-fresh goods offer a healthy alternative to processed foods. By buying local produce, we are not only sustaining a vital industry but also boosting incomes and encouraging chemically-free farming.2f:T4da,Symbol substitution Replace every symbol of the expression by the sign it stands for and then apply the BODMAS order. With the given code the expression becomes

7 - 9 - 8 \div 6

Division comes first:

8 \div 6 = \frac{4}{3}

. So the value is

7 - 9 - \frac{4}{3} = - 2 - \frac{4}{3} = \frac{- 6 - 4}{3} = - \frac{10}{3}

. Hence option (b) is the correct answer.30:T5cf,चिह्न प्रतिस्थापन व्यंजक के प्रत्येक प्रतीक के स्थान पर उसका वास्तविक चिह्न रखिए और फिर BODMAS क्रम लगाइए। दिए गए कूट के अनुसार व्यंजक बनता है

7 - 9 - 8 \div 6

।

पहले भाग:

8 \div 6 = \frac{4}{3}

। अतः मान

= 7 - 9 - \frac{4}{3} = - 2 - \frac{4}{3} = \frac{- 6 - 4}{3} = - \frac{10}{3}

। इसलिए सही विकल्प (b) है।31:T443,Number series Divide each term by the one before it:

\frac{- 15}{- 5} = 3

and

\frac{- 45}{- 15} = 3

So every term is 3 times the term before it. Missing term

= - 45 \times 3 = - 135

, and the check

- 135 \times 3 = - 405

matches the next given term. Hence option (b) is the correct answer.32:T54a,संख्या शृंखला प्रत्येक पद को उससे पहले वाले पद से भाग दीजिए:

\frac{- 15}{- 5} = 3

तथा

\frac{- 45}{- 15} = 3

।

अतः प्रत्येक पद अपने पिछले पद का 3 गुना है। लुप्त पद

= - 45 \times 3 = - 135

, तथा जाँच

- 135 \times 3 = - 405

अगले दिए गए पद से मेल खाती है। इसलिए सही विकल्प (b) है।33:T4cc,Paper folding and punching The sheet is folded twice, so the punched piece is one quarter of the square and every complete punch must appear four times when the sheet is opened. The first fold is along the diagonal and the second along the line joining the top right corner to the middle of that diagonal, so the opened sheet must be symmetrical about both diagonals.

The round punch lies at the middle height of the folded triangle, so it opens out into four circles placed above, below, to the left and to the right of the centre. The square notch cut into the middle of the outer edge opens out into a notch at the middle of each of the four sides. The two cuts taken off the corners of the folded piece open out into a square removed at each of the four corners, which turns the sheet into a plus shape. Option (a) leaves the corners as slanting cuts and shows only two notches; option (c) places the four circles at the corners of a square instead of around the centre; option (d) shows long slots and only two circles. Hence option (b) is the correct answer.34:T9bb,कागज़ मोड़ना और पंच करना कागज़ को दो बार मोड़ा गया है, अतः पंच किया गया भाग वर्ग का एक-चौथाई है और प्रत्येक पूर्ण पंच खोलने पर चार बार दिखाई देगा। पहला मोड़ विकर्ण के अनुदिश है तथा दूसरा उस रेखा के अनुदिश जो ऊपरी दाएँ कोने को उसी विकर्ण के मध्य-बिंदु से जोड़ती है, अतः खुला हुआ कागज़ दोनों विकर्णों के सापेक्ष सममित होना चाहिए।

गोल पंच मुड़े हुए त्रिभुज की मध्य-ऊँचाई पर है, अतः खुलने पर वह केंद्र के ऊपर, नीचे, बाईं तथा दाईं ओर चार वृत्तों के रूप में आता है। बाहरी भुजा के मध्य में काटा गया वर्गाकार खाँचा खुलने पर चारों भुजाओं के मध्य में एक-एक खाँचे के रूप में आता है। मुड़े हुए भाग के कोनों से काटे गए दो टुकड़े खुलने पर चारों कोनों में से एक-एक वर्ग हटा देते हैं, जिससे कागज़ धन (प्लस) के आकार का हो जाता है। विकल्प (a) में कोने तिरछे कटे हैं और केवल दो खाँचे हैं; विकल्प (c) में चारों वृत्त केंद्र के चारों ओर न होकर एक वर्ग के कोनों पर हैं; विकल्प (d) में लंबे स्लॉट तथा केवल दो वृत्त हैं। इसलिए सही विकल्प (b) है।35:T65a,Paper folding and punching The circular sheet is folded twice — first the left half over the right half along the vertical diameter, then the upper right quarter down over the lower right quarter along the horizontal radius — so the punched piece is one quarter of the circle. Open the folds in the reverse order: opening the horizontal fold copies every punch into the upper right quarter, and opening the vertical fold copies the whole right half on to the left half.

The triangle whose base lies on the horizontal fold meets its own copy when that fold is opened, so the two halves join into one complete rhombus; the vertical fold then repeats it, giving a rhombus to the right and a rhombus to the left of the centre. The half triangle standing on the vertical fold likewise joins its mirror image into a complete rhombus, and since it is copied upwards as well, one rhombus appears below the centre and one above it. The third triangle touches no fold, so it is simply reproduced once in every quarter — four triangles lying along the two slanting directions. The opened sheet therefore carries four rhombi at the top, bottom, left and right, with four triangles in between. Option (a) loses the two rhombi on the vertical line, option (b) interchanges the places of the rhombi and the triangles, and option (c) shows eight triangles because it forgets that a punch lying on a fold opens into a complete shape. Hence option (d) is the correct answer.36:Tf2b,कागज़ मोड़ना और पंच करना वृत्ताकार कागज़ को दो बार मोड़ा गया है — पहले ऊर्ध्वाधर व्यास के अनुदिश बायाँ आधा भाग दाएँ आधे भाग पर, फिर क्षैतिज त्रिज्या के अनुदिश ऊपरी दायाँ चौथाई भाग निचले दाएँ चौथाई भाग पर — अतः पंच किया गया भाग वृत्त का एक-चौथाई है। मोड़ों को उल्टे क्रम में खोलिए: क्षैतिज मोड़ खोलने पर प्रत्येक पंच की एक प्रतिलिपि ऊपरी दाएँ चौथाई भाग में आ जाती है, तथा ऊर्ध्वाधर मोड़ खोलने पर पूरा दायाँ आधा भाग बाएँ आधे भाग पर प्रतिबिंबित हो जाता है।

जिस त्रिभुज का आधार क्षैतिज मोड़ पर है, वह मोड़ खुलने पर अपनी ही प्रतिलिपि से मिल जाता है, अतः दोनों आधे भाग जुड़कर एक पूर्ण समचतुर्भुज बनाते हैं; फिर ऊर्ध्वाधर मोड़ इसे दोहरा देता है, जिससे केंद्र के दाईं ओर एक तथा बाईं ओर एक समचतुर्भुज बनता है। इसी प्रकार ऊर्ध्वाधर मोड़ पर खड़ा आधा त्रिभुज अपने दर्पण प्रतिबिंब से जुड़कर एक पूर्ण समचतुर्भुज बनाता है, और चूँकि उसकी प्रतिलिपि ऊपर भी बनती है, अतः केंद्र के नीचे एक तथा ऊपर एक समचतुर्भुज दिखाई देता है। तीसरा त्रिभुज किसी मोड़ को नहीं छूता, अतः वह प्रत्येक चौथाई भाग में एक बार ज्यों का त्यों बन जाता है — दोनों तिरछी दिशाओं में कुल चार त्रिभुज। इस प्रकार खुले हुए कागज़ में ऊपर, नीचे, बाईं तथा दाईं ओर चार समचतुर्भुज होते हैं और उनके बीच चार त्रिभुज। विकल्प (a) में ऊर्ध्वाधर रेखा वाले दोनों समचतुर्भुज छूट गए हैं, विकल्प (b) में समचतुर्भुजों तथा त्रिभुजों के स्थान आपस में बदल गए हैं, और विकल्प (c) में आठों आकृतियाँ त्रिभुज हैं क्योंकि उसमें यह भुला दिया गया है कि मोड़ पर स्थित पंच खुलने पर पूर्ण आकृति बनाता है। इसलिए सही विकल्प (d) है।37:T4b6,Number series Each term is twice the previous term increased by 1:

3 \times 2 + 1 = 7

and

7 \times 2 + 1 = 15

The rule holds further:

15 \times 2 + 1 = 31

and

31 \times 2 + 1 = 63

. So the next term

= 63 \times 2 + 1 = 127

. The same numbers are one less than a power of 2, and 128-1=127 confirms it. Hence option (a) is the correct answer.38:T5fc,संख्या शृंखला प्रत्येक पद अपने पिछले पद का दुगुना करके 1 जोड़ने से बनता है:

3 \times 2 + 1 = 7

तथा

7 \times 2 + 1 = 15

।

यह नियम आगे भी लागू होता है:

15 \times 2 + 1 = 31

तथा

31 \times 2 + 1 = 63

। अतः अगला पद

= 63 \times 2 + 1 = 127

। ये सभी संख्याएँ 2 की किसी घात से एक कम हैं, और 128-1=127 इसकी पुष्टि करता है। इसलिए सही विकल्प (a) है।39:T474,Signs substitution Put the signs of option (b), namely

\div, +, -, \times

, in place of the four

*

signs in order.

84 \div 12 + 15 - 5 \times 2

By BODMAS, division and multiplication come first:

84 \div 12 = 7

and

5 \times 2 = 10

. =7+15-10 =22-10=12, which is exactly the required right-hand side.

Hence option (b) is the correct answer.3a:T56b,गणितीय चिह्न प्रतिस्थापन विकल्प (b) के चिह्न, अर्थात्

\div, +, -, \times

, चारों

*

चिह्नों के स्थान पर क्रम से रखिए।

84 \div 12 + 15 - 5 \times 2

BODMAS के अनुसार पहले भाग और गुणा होंगे:

84 \div 12 = 7

तथा

5 \times 2 = 10

। =7+15-10 =22-10=12, जो ठीक अभीष्ट दायाँ पक्ष है।

इसलिए सही विकल्प (b) है।3b:T43a,Odd letter-number pair In each pair the first letter moves +2, the second letter moves +3, and the number is halved.

In (a) G+2=I, L+3=O and

120 \div 2 = 60

; in (b) P+2=R, S+3=V and

440 \div 2 = 220

; in (c) E+2=G, K+3=N and

248 \div 2 = 124

. In (d) the letters obey the rule (J+2=L, W+3=Z), but the number does not:

360 \div 2 = 180

, whereas 190 is given. Hence option (d) is the odd one out and is the correct answer.3c:T5d4,असंगत अक्षर-संख्या युग्म प्रत्येक युग्म में पहला अक्षर +2 आगे बढ़ता है, दूसरा अक्षर +3 आगे बढ़ता है, तथा संख्या आधी हो जाती है।

(a) में G+2=I, L+3=O तथा

120 \div 2 = 60

; (b) में P+2=R, S+3=V तथा

440 \div 2 = 220

; (c) में E+2=G, K+3=N तथा

248 \div 2 = 124

। (d) में अक्षर तो नियम का पालन करते हैं (J+2=L, W+3=Z), परंतु संख्या नहीं:

360 \div 2 = 180

, जबकि 190 दिया गया है। इसलिए विकल्प (d) असंगत है और यही सही उत्तर है।3d:Tbde,Algebraic identity The expression has the form

x^{2} - y^{2}

with

x = a^{2} + b^{2}

and y=2ab, so use

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

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

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

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

Hence option (a) is the correct answer.3e:Tc7b,बीजगणितीय सर्वसमिका यह व्यंजक

x^{2} - y^{2}

के रूप में है, जहाँ

x = a^{2} + b^{2}

तथा y=2ab है, अतः

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

का प्रयोग कीजिए।

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

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

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

इसलिए सही विकल्प (a) है।3f:T53e,Comparing surds Write every value as a single square root; then the one with the largest number inside is the greatest.

\sqrt{15}

stays as it is,

3 \sqrt{5} = \sqrt{3^{2} \times 5} = \sqrt{45}

, and

\sqrt{30}

stays as it is.

Since 45>30>15, we get

3 \sqrt{5} > \sqrt{30} > \sqrt{15}

. So the greatest value is

3 \sqrt{5}

, and option (b) is the correct answer.40:T6a1,करणी की तुलना प्रत्येक मान को एक ही वर्गमूल के रूप में लिखिए; तब जिसके अंदर की संख्या सबसे बड़ी होगी, वही सबसे बड़ा होगा।

\sqrt{15}

यथावत रहता है,

3 \sqrt{5} = \sqrt{3^{2} \times 5} = \sqrt{45}

, तथा

\sqrt{30}

यथावत रहता है।

चूँकि 45>30>15 है, अतः

3 \sqrt{5} > \sqrt{30} > \sqrt{15}

प्राप्त होता है। अतः सबसे बड़ा मान

3 \sqrt{5}

है, इसलिए सही विकल्प (b) है।41:T4a6,Income and expenditure ratio Let the incomes be 5x and 4x, and the expenditures be 3y and 2y.

Saving = Income − Expenditure, and each of them saves ₹3000: 5x-3y=3000 … (i)

4 x - 2 y = 3000 \Rightarrow 2 x - y = 1500 \Rightarrow y = 2 x - 1500

… (ii) Putting (ii) into (i): 5x-3(2x-1500)=3000

5 x - 6 x + 4500 = 3000 \Rightarrow x = 1500

A's income

= 5 x = 5 \times 1500 = 7500

, i.e. ₹7500, so option (a) is the correct answer.42:T56b,आय-व्यय अनुपात माना कि आय 5x तथा 4x हैं, और व्यय 3y तथा 2y हैं।

बचत = आय − व्यय, तथा दोनों में से प्रत्येक ₹3000 की बचत करता है: 5x-3y=3000 … (i)

4 x - 2 y = 3000 \Rightarrow 2 x - y = 1500 \Rightarrow y = 2 x - 1500

… (ii) (ii) को (i) में रखने पर: 5x-3(2x-1500)=3000

5 x - 6 x + 4500 = 3000 \Rightarrow x = 1500

A की आय

= 5 x = 5 \times 1500 = 7500

, अर्थात् ₹7500, इसलिए सही विकल्प (a) है।43:T467,False weight profit He charges the price of 1000 gm but actually hands over only 920 gm, so his cost corresponds to 920 gm while his receipt corresponds to 1000 gm. Gain %

= \frac{True weight - False weight}{False weight} \times 100

= \frac{1000 - 920}{920} \times 100 = \frac{80}{920} \times 100

= \frac{8000}{920} = 8.6956 \dots

Rounded to two decimal places the gain is

8.70 %

, so option (b) is the correct answer.44:T58c,कम बाट से लाभ वह 1000 gm का मूल्य लेता है परंतु वास्तव में केवल 920 gm ही देता है, अतः उसकी लागत 920 gm के बराबर है जबकि प्राप्ति 1000 gm के बराबर है। लाभ %

= \frac{वास्तविक भार - प्रयुक्त भार}{प्रयुक्त भार} \times 100

= \frac{1000 - 920}{920} \times 100 = \frac{80}{920} \times 100

= \frac{8000}{920} = 8.6956 \dots

दो दशमलव स्थानों तक लाभ

8.70 %

है, इसलिए सही विकल्प (b) है।45:T4af,Trains moving towards each other The train from B is the slower one; let its speed be 5x. The train from A is 20% faster, so its speed is

\frac{120}{100} \times 5 x = 6 x

Moving towards each other, their relative speed is 5x+6x=11x. Together they cover the whole 660 km in 5 hours:

11 x \times 5 = 660

11 x = 132 \Rightarrow x = 12

Speed of the slower train

= 5 x = 5 \times 12 = 60

km/h, so option (b) is the correct answer.46:T644,आमने-सामने चलती रेलगाड़ियाँ B से चलने वाली रेलगाड़ी धीमी है; माना कि उसकी चाल 5x है। A से चलने वाली रेलगाड़ी 20% तेज़ है, अतः उसकी चाल

\frac{120}{100} \times 5 x = 6 x

है।

एक-दूसरे की ओर चलने पर उनकी सापेक्ष चाल 5x+6x=11x होती है। दोनों मिलकर पूरी 660 km दूरी 5 घंटे में तय करती हैं:

11 x \times 5 = 660

11 x = 132 \Rightarrow x = 12

धीमी रेलगाड़ी की चाल

= 5 x = 5 \times 12 = 60

km/h है, इसलिए सही विकल्प (b) है।47:T82f,Compound interest rate Formula: Amount

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

, with P=7290, n=2 and Amount =8410.

{(1 + \frac{R}{100})}^{2} = \frac{8410}{7290} = \frac{841}{729}

Both are perfect squares:

\frac{841}{729} = \frac{29^{2}}{27^{2}}

, so

1 + \frac{R}{100} = \frac{29}{27}

\frac{R}{100} = \frac{29}{27} - 1 = \frac{2}{27}

R = \frac{200}{27} = 7.407 \dots \approx 7.40

So the rate is

7.40 %

per annum, and option (b) is the correct answer.48:T8da,चक्रवृद्धि ब्याज दर सूत्र: मिश्रधन

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

, जहाँ P=7290, n=2 तथा मिश्रधन =8410 है।

{(1 + \frac{R}{100})}^{2} = \frac{8410}{7290} = \frac{841}{729}

दोनों पूर्ण वर्ग हैं:

\frac{841}{729} = \frac{29^{2}}{27^{2}}

, अतः

1 + \frac{R}{100} = \frac{29}{27}

\frac{R}{100} = \frac{29}{27} - 1 = \frac{2}{27}

R = \frac{200}{27} = 7.407 \dots \approx 7.40

अतः वार्षिक दर

7.40 %

है, इसलिए सही विकल्प (b) है।49:T5b9,Time and work Take the total work as LCM(20,25)=100 units. A's one day's work

= \frac{100}{20} = 5

units and B's one day's work

= \frac{100}{25} = 4

units. In 10 days A and B together do

(5 + 4) \times 10 = 90

units. Remaining work =100-90=10 units, which C does in 10 days, so C's one day's work

= \frac{10}{10} = 1

unit.

A, B and C together do 5+4+1=10 units in one day. Time taken

= \frac{100}{10} = 10

days, so option (a) is the correct answer.4a:T77f,समय और कार्य कुल कार्य को लघुत्तम समापवर्त्य(20,25)=100 इकाई मानिए। A का एक दिन का कार्य

= \frac{100}{20} = 5

इकाई तथा B का एक दिन का कार्य

= \frac{100}{25} = 4

इकाई है। 10 दिनों में A और B मिलकर

(5 + 4) \times 10 = 90

इकाई कार्य करते हैं। शेष कार्य =100-90=10 इकाई, जिसे C 10 दिनों में करता है, अतः C का एक दिन का कार्य

= \frac{10}{10} = 1

इकाई है।

A, B और C मिलकर एक दिन में 5+4+1=10 इकाई कार्य करते हैं। लगा समय

= \frac{100}{10} = 10

दिन, इसलिए सही विकल्प (a) है।4b:T5e7,Area of a trapezium Formula: area of a trapezium

= \frac{1}{2} \times

(sum of the parallel sides)

\times

height.

Here the parallel sides (bases) are 12 cm and 16 cm and the area is

98 {cm}^{2}

. Substituting:

98 = \frac{1}{2} \times (12 + 16) \times h

98 = \frac{1}{2} \times 28 \times h = 14 h

h = \frac{98}{14} = 7

cm, so option (b) is the correct answer.4c:T6bb,समलंब का क्षेत्रफल सूत्र: समलंब का क्षेत्रफल

= \frac{1}{2} \times

(समांतर भुजाओं का योग)

\times

ऊँचाई।

यहाँ समांतर भुजाएँ 12 cm तथा 16 cm हैं और क्षेत्रफल

98 {cm}^{2}

है। मान रखने पर:

98 = \frac{1}{2} \times (12 + 16) \times h

।

98 = \frac{1}{2} \times 28 \times h = 14 h

।

h = \frac{98}{14} = 7

cm, इसलिए सही विकल्प (b) है।4d:T576,Surface area of a cuboid The outer surface of a closed cuboid is its total surface area =2(lb+bh+hl).

Here l=4 m, b=2.5 m and h=1.5 m.

l b = 4 \times 2.5 = 10

b h = 2.5 \times 1.5 = 3.75

h l = 1.5 \times 4 = 6

. Total surface area

= 2 (10 + 3.75 + 6) = 2 \times 19.75 = 39.5 m^{2}

. Cost

= 39.5 \times 12 = 474

. So the painting costs ₹474 and option (c) is the correct answer.4e:T698,घनाभ का पृष्ठीय क्षेत्रफल बंद घनाभ का बाहरी पृष्ठ उसका संपूर्ण पृष्ठीय क्षेत्रफल =2(lb+bh+hl) होता है।

यहाँ l=4 m, b=2.5 m तथा h=1.5 m है।

l b = 4 \times 2.5 = 10

b h = 2.5 \times 1.5 = 3.75

h l = 1.5 \times 4 = 6

। संपूर्ण पृष्ठीय क्षेत्रफल

= 2 (10 + 3.75 + 6) = 2 \times 19.75 = 39.5 m^{2}

। लागत

= 39.5 \times 12 = 474

। अतः रँगवाने की लागत ₹474 है और सही विकल्प (c) है।4f:T752,Volume of a pyramid

The base is an equilateral triangle of side 10 cm, so base area

= \frac{\sqrt{3}}{4} a^{2} = \frac{\sqrt{3}}{4} \times 10^{2} = 25 \sqrt{3} {cm}^{2}

. Formula: volume of a pyramid

= \frac{1}{3} \times

base area

\times

height.

= \frac{1}{3} \times 25 \sqrt{3} \times 9 = 75 \sqrt{3} {cm}^{3}

. Taking

\sqrt{3} = 1.732

, volume

= 75 \times 1.732 = 129.9 {cm}^{3}

. So option (a) is the correct answer.50:T83e,पिरामिड का आयतन

आधार 10 cm भुजा वाला समबाहु त्रिभुज है, अतः आधार का क्षेत्रफल

= \frac{\sqrt{3}}{4} a^{2} = \frac{\sqrt{3}}{4} \times 10^{2} = 25 \sqrt{3} {cm}^{2}

। सूत्र: पिरामिड का आयतन

= \frac{1}{3} \times

आधार का क्षेत्रफल

\times

ऊँचाई।

= \frac{1}{3} \times 25 \sqrt{3} \times 9 = 75 \sqrt{3} {cm}^{3}

।

\sqrt{3} = 1.732

लेने पर, आयतन

= 75 \times 1.732 = 129.9 {cm}^{3}

। इसलिए सही विकल्प (a) है।51:Tad4,Right triangle, altitude

∠ Q P R = ∠ Q R P

, so

△ P Q R

is isosceles and the sides opposite these equal angles are equal: QR=PQ=10 cm.

By Pythagoras,

P R = \sqrt{P Q^{2} + Q R^{2}} = \sqrt{10^{2} + 10^{2}} = 10 \sqrt{2}

cm. QM is the altitude to the hypotenuse, and area of

△ P Q R

counted two ways gives

\frac{1}{2} \times P Q \times Q R = \frac{1}{2} \times P R \times Q M

Q M = \frac{P Q \times Q R}{P R} = \frac{10 \times 10}{10 \sqrt{2}} = 5 \sqrt{2}

cm, which indeed satisfies PR=2QM.

P R^{2} - Q M^{2} = {(10 \sqrt{2})}^{2} - {(5 \sqrt{2})}^{2} = 200 - 50 = 150

. So option (a) is the correct answer.52:Tc81,समकोण त्रिभुज, शीर्षलंब

∠ Q P R = ∠ Q R P

है, अतः

△ P Q R

समद्विबाहु है और इन बराबर कोणों के सम्मुख भुजाएँ बराबर होंगी: QR=PQ=10 cm।

पाइथागोरस प्रमेय से,

P R = \sqrt{P Q^{2} + Q R^{2}} = \sqrt{10^{2} + 10^{2}} = 10 \sqrt{2}

cm। QM कर्ण पर डाला गया शीर्षलंब है, और

△ P Q R

का क्षेत्रफल दो प्रकार से लिखने पर

\frac{1}{2} \times P Q \times Q R = \frac{1}{2} \times P R \times Q M

प्राप्त होता है।

Q M = \frac{P Q \times Q R}{P R} = \frac{10 \times 10}{10 \sqrt{2}} = 5 \sqrt{2}

cm, जो वास्तव में PR=2QM को संतुष्ट करता है।

P R^{2} - Q M^{2} = {(10 \sqrt{2})}^{2} - {(5 \sqrt{2})}^{2} = 200 - 50 = 150

। इसलिए सही विकल्प (a) है।53:T859,Volume of cone and cylinder Let the cone have radius r=12 cm and height h; then the cylinder has radius R and height 2h.

Given: volume of cone

= \frac{1}{2} \times

volume of cylinder.

\frac{1}{3} π r^{2} h = \frac{1}{2} \times π R^{2} (2 h) = π R^{2} h

. Cancelling

π h

from both sides:

R^{2} = \frac{r^{2}}{3} = \frac{12^{2}}{3} = \frac{144}{3} = 48

R = \sqrt{48} = \sqrt{16 \times 3} = 4 \sqrt{3}

cm. So the radius of the cylinder is

4 \sqrt{3}

cm and option (b) is the correct answer.54:T967,शंकु और बेलन का आयतन माना कि शंकु की त्रिज्या r=12 cm तथा ऊँचाई h है; तब बेलन की त्रिज्या R और ऊँचाई 2h होगी।

दिया है: शंकु का आयतन

= \frac{1}{2} \times

बेलन का आयतन।

\frac{1}{3} π r^{2} h = \frac{1}{2} \times π R^{2} (2 h) = π R^{2} h

। दोनों पक्षों से

π h

काटने पर:

R^{2} = \frac{r^{2}}{3} = \frac{12^{2}}{3} = \frac{144}{3} = 48

।

R = \sqrt{48} = \sqrt{16 \times 3} = 4 \sqrt{3}

cm। अतः बेलन की त्रिज्या

4 \sqrt{3}

cm है और सही विकल्प (b) है।55:T934,Common tangents to circles The number of common tangents depends only on how d compares with

r_{1} + r_{2}

and

(r_{1} - r_{2})

. The given condition

(r_{1} - r_{2}) < d < r_{1} + r_{2}

is exactly the condition for the two circles to cut each other at two distinct points.

Two intersecting circles overlap, so no line can pass between them; the internal (transverse) tangents therefore do not exist. Only the two direct (external) common tangents can be drawn, one on each side. For reference:

d > r_{1} + r_{2}

gives 4 tangents,

d = r_{1} + r_{2}

gives 3, and

d = (r_{1} - r_{2})

gives 1. So the required number is 2 and option (b) is the correct answer.56:Tc6c,वृत्तों की उभयनिष्ठ स्पर्श रेखाएँ उभयनिष्ठ स्पर्श रेखाओं की संख्या केवल इस पर निर्भर करती है कि d की तुलना

r_{1} + r_{2}

और

(r_{1} - r_{2})

से कैसी है। दी गई शर्त

(r_{1} - r_{2}) < d < r_{1} + r_{2}

ठीक वही शर्त है जिसमें दोनों वृत्त दो भिन्न बिंदुओं पर एक-दूसरे को काटते हैं।

प्रतिच्छेदी वृत्त एक-दूसरे को अतिव्यापित करते हैं, अतः उनके बीच से कोई रेखा नहीं जा सकती; इसलिए आंतरिक (तिर्यक) स्पर्श रेखाएँ संभव नहीं हैं। केवल दो बाह्य (सीधी) उभयनिष्ठ स्पर्श रेखाएँ ही खींची जा सकती हैं, प्रत्येक ओर एक। स्मरण रखें:

d > r_{1} + r_{2}

पर 4 स्पर्श रेखाएँ,

d = r_{1} + r_{2}

पर 3 तथा

d = (r_{1} - r_{2})

पर 1 होती है। अतः अभीष्ट संख्या 2 है और सही विकल्प (b) है।57:T888,Trigonometric identity Write both functions in terms of sine and cosine:

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

and

cosec x = \frac{1}{\sin x}

\frac{\cot x}{cosec x} = \frac{\cos x / \sin x}{1 / \sin x}

. Dividing by

\frac{1}{\sin x}

is the same as multiplying by

\sin x

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

. A quick check with

x = 60^{\circ}

\frac{\cot 60^{\circ}}{cosec 60^{\circ}} = \frac{1 / \sqrt{3}}{2 / \sqrt{3}} = \frac{1}{2} = \cos 60^{\circ}

. So option (a) is the correct answer.58:T951,त्रिकोणमितीय सर्वसमिका दोनों फलनों को ज्या और कोज्या में लिखिए:

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

तथा

cosec x = \frac{1}{\sin x}

।

\frac{\cot x}{cosec x} = \frac{\cos x / \sin x}{1 / \sin x}

।

\frac{1}{\sin x}

से भाग देना

\sin x

से गुणा करने के समान है:

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

।

x = 60^{\circ}

से त्वरित जाँच:

\frac{\cot 60^{\circ}}{cosec 60^{\circ}} = \frac{1 / \sqrt{3}}{2 / \sqrt{3}} = \frac{1}{2} = \cos 60^{\circ}

। इसलिए सही विकल्प (a) है।59:T60b,Partnership and profit Let the total profit be x. 10% of it goes to charity, so the amount actually divided between P and Q is

90 %

x = \frac{9 x}{10}

. The investments are in the ratio 5:3, so P's share is

\frac{5}{5 + 3} = \frac{5}{8}

of the divided amount.

\frac{5}{8} \times \frac{9 x}{10} = 900

\frac{9 x}{16} = 900 \Rightarrow x = 900 \times \frac{16}{9} = 1600

. So the total profit is ₹1,600 and option (d) is the correct answer.5a:T6c4,साझेदारी और लाभ माना कि कुल लाभ x है। इसका 10% दान में चला जाता है, अतः P और Q के बीच वास्तव में बाँटी जाने वाली राशि x का

90 % = \frac{9 x}{10}

है। निवेश 5:3 के अनुपात में है, अतः बाँटी गई राशि में P का हिस्सा

\frac{5}{5 + 3} = \frac{5}{8}

होगा।

\frac{5}{8} \times \frac{9 x}{10} = 900

\frac{9 x}{16} = 900 \Rightarrow x = 900 \times \frac{16}{9} = 1600

। अतः कुल लाभ ₹1,600 है और सही विकल्प (d) है।5b:T535,Successive discounts Successive discounts act one after the other, the second one on the already reduced price. After 10% off, the price is 90% of ₹1,500:

1500 \times \frac{90}{100} = 1350

. After 20% off that, the price is 80% of ₹1,350:

1350 \times \frac{80}{100} = 1080

Shortcut: the single equivalent discount is

10 + 20 - \frac{10 \times 20}{100} = 28 %

, and

1500 \times \frac{72}{100} = 1080

. So the final price is ₹1,080 and option (b) is the correct answer.5c:T66f,क्रमिक छूट क्रमिक छूट एक के बाद एक लगती हैं, दूसरी छूट पहले से घटे हुए मूल्य पर लगती है। 10% छूट के बाद मूल्य ₹1,500 का 90% रह जाता है:

1500 \times \frac{90}{100} = 1350

। उस पर 20% छूट के बाद मूल्य ₹1,350 का 80% रह जाता है:

1350 \times \frac{80}{100} = 1080

।

संक्षिप्त विधि: तुल्य एकल छूट

= 10 + 20 - \frac{10 \times 20}{100} = 28 %

, और

1500 \times \frac{72}{100} = 1080

। अतः अंतिम मूल्य ₹1,080 है और सही विकल्प (b) है।5d:T705,Internal common tangent Formula: length of the internal (transverse) common tangent

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

, where d is the distance between the centres. Here

r_{1} + r_{2} = 3 + 7 = 10

and the tangent length is 24.

24 = \sqrt{d^{2} - 10^{2}}

Squaring:

576 = d^{2} - 100 \Rightarrow d^{2} = 676

d = \sqrt{676} = 26

unit. So option (d) is the correct answer.5e:T822,आंतरिक उभयनिष्ठ स्पर्श रेखा सूत्र: आंतरिक (तिर्यक) उभयनिष्ठ स्पर्श रेखा की लंबाई

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

, जहाँ d केंद्रों के बीच की दूरी है। यहाँ

r_{1} + r_{2} = 3 + 7 = 10

तथा स्पर्श रेखा की लंबाई 24 है।

24 = \sqrt{d^{2} - 10^{2}}

वर्ग करने पर:

576 = d^{2} - 100 \Rightarrow d^{2} = 676

।

d = \sqrt{676} = 26

इकाई। इसलिए सही विकल्प (d) है।5f:T4d3,Trigonometric ratios

cosec x = \frac{hypotenuse}{perpendicular} = \frac{5}{3}

, so take perpendicular =3 and hypotenuse =5. Base

= \sqrt{5^{2} - 3^{2}} = \sqrt{25 - 9} = \sqrt{16} = 4

(the familiar 3-4-5 triangle).

\sec x = \frac{hypotenuse}{base} = \frac{5}{4}

. So option (b) is the correct answer.60:T548,त्रिकोणमितीय अनुपात

cosec x = \frac{कर्ण}{लंब} = \frac{5}{3}

, अतः लंब =3 और कर्ण =5 लीजिए। आधार

= \sqrt{5^{2} - 3^{2}} = \sqrt{25 - 9} = \sqrt{16} = 4

(परिचित 3-4-5 त्रिभुज)।

\sec x = \frac{कर्ण}{आधार} = \frac{5}{4}

। इसलिए सही विकल्प (b) है।61:Ta19,Trigonometric identities

\cot θ = \frac{3}{4}

means base =3 and perpendicular =4, so

\tan θ = \frac{4}{3}

Using

\sec^{2} θ = 1 + \tan^{2} θ

\sec^{2} θ = 1 + \frac{16}{9} = \frac{25}{9}

. Using

{cosec}^{2} θ = 1 + \cot^{2} θ

{cosec}^{2} θ = 1 + \frac{9}{16} = \frac{25}{16}

\sec^{2} θ - {cosec}^{2} θ = \frac{25}{9} - \frac{25}{16} = 25 \times \frac{16 - 9}{144} = \frac{25 \times 7}{144}

= \frac{175}{144}

, so option (a) is the correct answer.62:Ta8d,त्रिकोणमितीय सर्वसमिकाएँ

\cot θ = \frac{3}{4}

का अर्थ है आधार =3 तथा लंब =4, अतः

\tan θ = \frac{4}{3}

।

\sec^{2} θ = 1 + \tan^{2} θ

से:

\sec^{2} θ = 1 + \frac{16}{9} = \frac{25}{9}

।

{cosec}^{2} θ = 1 + \cot^{2} θ

से:

{cosec}^{2} θ = 1 + \frac{9}{16} = \frac{25}{16}

।

\sec^{2} θ - {cosec}^{2} θ = \frac{25}{9} - \frac{25}{16} = 25 \times \frac{16 - 9}{144} = \frac{25 \times 7}{144}

।

= \frac{175}{144}

, इसलिए सही विकल्प (a) है।63:T456,TB incidence in India India's TB incidence in 2023 was 195 cases per 1,00,000 population, down from 237 per 1,00,000 in 2015. That is a fall of

\frac{237 - 195}{237} \times 100 \approx 17.7 %

in eight years, against a global decline of about

8 %

over the same period. TB deaths fell in step, from 28 to 22 per lakh population, a drop of about

21.4 %

The gains are credited to the National TB Elimination Programme (NTEP), run under the National Health Mission, with nutrition support through the Ni-kshay Poshan Yojana. Hence option (b) is correct.64:T721,भारत में टीबी की घटना दर वर्ष 2023 में भारत में टीबी की घटना दर प्रति 1,00,000 जनसंख्या पर 195 थी, जो वर्ष 2015 में प्रति 1,00,000 पर 237 थी। यह आठ वर्षों में

\frac{237 - 195}{237} \times 100 \approx 17.7 %

की गिरावट है, जबकि इसी अवधि में वैश्विक गिरावट लगभग

8 %

रही। टीबी से होने वाली मृत्यु दर भी प्रति लाख 28 से घटकर 22 हो गई, अर्थात् लगभग

21.4 %

की कमी।

इस उपलब्धि का श्रेय राष्ट्रीय स्वास्थ्य मिशन के अंतर्गत संचालित राष्ट्रीय क्षय रोग उन्मूलन कार्यक्रम (NTEP) तथा नि-क्षय पोषण योजना के अंतर्गत दी जाने वाली पोषण सहायता को जाता है। अतः सही विकल्प (b) है।1e:["$","$L28",null,{"mode":"practice","dropped":0,"bilingual":true,"choiceSubjects":[],"questions":[{"id":2801,"n":1,"subject":"English Language","stem":"Choose a word that is similar in meaning to the word in bold.\nStudents often rely on reference books that are not easily obtainable in small libraries.","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"Reachable","textHi":null,"imageUrl":null},{"key":"b","text":"Interminable","textHi":null,"imageUrl":null},{"key":"c","text":"Probable","textHi":null,"imageUrl":null},{"key":"d","text":"Accessible","textHi":null,"imageUrl":null}],"correct":"d","sol":"Synonym\nThe word in bold is 'obtainable', which means 'able to be got, acquired or procured'.\n'Accessible' means 'able to be obtained, used or entered easily', so it conveys exactly the same idea in the sentence: books that cannot easily be got in small libraries.\n'Reachable' refers to physical distance or being contactable, 'interminable' means endless and tiresome, and 'probable' means likely to happen — none of them expresses availability.\nHence option (d) is the correct answer.","solHi":null,"pos":2,"neg":0.5},{"id":2802,"n":2,"subject":"English Language","stem":"Choose the option that has an error in the sentence.\nIt is necessary for employees to become more responsibility at the workplace.","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"It is necessary","textHi":null,"imageUrl":null},{"key":"b","text":"for employees to become","textHi":null,"imageUrl":null},{"key":"c","text":"more responsibility","textHi":null,"imageUrl":null},{"key":"d","text":"at the workplace","textHi":null,"imageUrl":null}],"correct":"c","sol":"Error spotting\n'Become' is a linking verb, and a linking verb is completed by an adjective (a subject complement), not by a noun of quality.\nThe comparative word 'more' also signals that an adjective must follow, so the phrase should read 'more responsible'.\n'Responsibility' is a noun; 'to become more responsibility' therefore breaks the linking-verb rule, and part (c) carries the error.\nThe corrected sentence is: It is necessary for employees to become more responsible at the workplace.\nHence option (c) is the correct answer.","solHi":null,"pos":2,"neg":0.5},{"id":2803,"n":3,"subject":"English Language","stem":"Choose the correct sentence.","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"Sahil suggested me to take rest.","textHi":null,"imageUrl":null},{"key":"b","text":"Sahil suggested that I take rest.","textHi":null,"imageUrl":null},{"key":"c","text":"Sahil suggested me that I take rest.","textHi":null,"imageUrl":null},{"key":"d","text":"Sahil suggested for me to take rest.","textHi":null,"imageUrl":null}],"correct":"b","sol":"Verb pattern: suggest\nThe verb 'suggest' never takes a personal object immediately after it, and it is never followed by 'to + verb'.\nIts correct pattern is 'suggest + that-clause', in which the verb of the clause stays in the base (subjunctive) form: suggested that I take rest.\nOption (b) follows this pattern exactly.\nOptions (a) and (d) wrongly attach an object ('me', 'for me') with a to-infinitive, and option (c) inserts an unnecessary object 'me' before the that-clause.\nHence option (b) is the correct answer.","solHi":null,"pos":2,"neg":0.5},{"id":2804,"n":4,"subject":"English Language","stem":"Fill in the blank with the most appropriate preposition:\nRevant was accused

____

embezzling public money.","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"for","textHi":null,"imageUrl":null},{"key":"b","text":"about","textHi":null,"imageUrl":null},{"key":"c","text":"with","textHi":null,"imageUrl":null},{"key":"d","text":"of","textHi":null,"imageUrl":null}],"correct":"d","sol":"Preposition with 'accuse'\n'Accuse' takes the fixed preposition 'of' before the offence: accuse somebody of something / of doing something.\nSo the sentence reads: Revant was accused of embezzling public money.\n'Charge' takes 'with' and 'blame' takes 'for', which is why 'with' and 'for' are tempting but wrong here.\nHence option (d) is the correct answer.","solHi":null,"pos":2,"neg":0.5},{"id":2805,"n":5,"subject":"English Language","stem":"Fill in the blank with the most appropriate option:\nDuring the negotiations, her approach was

____

aiming to ease tensions and promote agreement.","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"abrasive","textHi":null,"imageUrl":null},{"key":"b","text":"unpredictable","textHi":null,"imageUrl":null},{"key":"c","text":"conciliatory","textHi":null,"imageUrl":null},{"key":"d","text":"gloomy","textHi":null,"imageUrl":null}],"correct":"c","sol":"Vocabulary: word choice\nThe second half of the sentence — 'aiming to ease tensions and promote agreement' — describes the purpose of her approach, so the blank needs a word meaning 'peace-making'.\n'Conciliatory' means intended to pacify, to win goodwill and to settle a dispute, which matches that purpose perfectly.\n'Abrasive' means harsh and irritating and 'gloomy' means depressing — both contradict the idea of easing tension; 'unpredictable' says nothing about making peace.\nHence option (c) is the correct answer.","solHi":null,"pos":2,"neg":0.5},{"id":2806,"n":6,"subject":"English Language","stem":"Choose the correctly spelt word:","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"Abbreivation","textHi":null,"imageUrl":null},{"key":"b","text":"Abbreviation","textHi":null,"imageUrl":null},{"key":"c","text":"Abbravietion","textHi":null,"imageUrl":null},{"key":"d","text":"Abbriviation","textHi":null,"imageUrl":null}],"correct":"b","sol":"Spelling\nThe correctly spelt word is 'Abbreviation', meaning a shortened form of a word or phrase.\nBreak it as Ab-bre-vi-a-tion: double 'b' after 'A', then 'brev' (from Latin brevis = short), and the ending '-iation'.\nThe other options misplace these parts — 'Abbreivation' swaps 'vi' to 'iv', 'Abbravietion' and 'Abbriviation' change the vowel of 'brev'.\nHence option (b) is the correct answer.","solHi":null,"pos":2,"neg":0.5},{"id":2807,"n":7,"subject":"English Language","stem":"Choose the correctly spelt word:","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"Milleniuum","textHi":null,"imageUrl":null},{"key":"b","text":"Millennium","textHi":null,"imageUrl":null},{"key":"c","text":"Millannium","textHi":null,"imageUrl":null},{"key":"d","text":"Millennuim","textHi":null,"imageUrl":null}],"correct":"b","sol":"Spelling\nThe correctly spelt word is 'Millennium', a period of one thousand years.\nIt comes from Latin 'mille' (thousand) + 'annus' (year), so it keeps double 'l' from mille and double 'n' from annus, and ends in '-ium'.\n'Milleniuum' and 'Millannium' drop one 'n' or change the vowel, and 'Millennuim' reverses the final '-ium' to '-uim'.\nHence option (b) is the correct answer.","solHi":null,"pos":2,"neg":0.5},{"id":2808,"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."\nThey reunited at the park at a long time.","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"till a long time","textHi":null,"imageUrl":null},{"key":"b","text":"after a long time","textHi":null,"imageUrl":null},{"key":"c","text":"before a long time","textHi":null,"imageUrl":null},{"key":"d","text":"No substitution","textHi":null,"imageUrl":null}],"correct":"b","sol":"Prepositional phrase\nThe sentence means that the two people met again once a long gap had passed, and the fixed expression for that is 'after a long time'.\n'At' is used with a point of time (at 5 o'clock, at noon), not with a stretch of time, so 'at a long time' is unidiomatic.\n'Till a long time' and 'before a long time' are also not standard English collocations.\nThe improved sentence is: They reunited at the park after a long time.\nHence option (b) is the correct answer.","solHi":null,"pos":2,"neg":0.5},{"id":2809,"n":9,"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 is married with a man who works in the Air Force.","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"Married for","textHi":null,"imageUrl":null},{"key":"b","text":"Married to","textHi":null,"imageUrl":null},{"key":"c","text":"Married by","textHi":null,"imageUrl":null},{"key":"d","text":"No substitution","textHi":null,"imageUrl":null}],"correct":"b","sol":"Preposition with 'married'\nWhen we name the person one has wed, the fixed preposition after 'married' is 'to', not 'with'.\nSo the sentence becomes: She is married to a man who works in the Air Force.\n'Married with' is used only in a different sense — 'married with two children' — where 'with' introduces what the couple has, not the spouse.\n'Married for' shows duration (married for ten years) and 'married by' names the person who performs the ceremony, so neither fits here.\nHence option (b) is the correct answer.","solHi":null,"pos":2,"neg":0.5},{"id":2810,"n":10,"subject":"English Language","stem":"Choose the correct indirect narration of the following statement from the given alternatives:\nThe teacher said, "There is a library near our school which is filled with different kinds of books."","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"The teacher said that there was a library near their school which had been filled with different kinds of books.","textHi":null,"imageUrl":null},{"key":"b","text":"The teacher said that there had been a library near their school which was filled with different kinds of books.","textHi":null,"imageUrl":null},{"key":"c","text":"The teacher said that there was a library near their school which was filled with different kinds of books.","textHi":null,"imageUrl":null},{"key":"d","text":"The teacher said that there was a library near your school which was filled with different kinds of books.","textHi":null,"imageUrl":null}],"correct":"c","sol":"Direct to indirect speech\nThe reporting verb 'said' is in the past tense, so every present-tense verb inside the quotation moves one step back into the past.\n'There is a library' becomes 'there was a library', and 'which is filled' becomes 'which was filled'.\nThe possessive 'our' belongs to the speaker's side and, since the reporter is a third person, it changes to 'their'.\n $\"figure\"/$ \nOption (a) needlessly makes the second verb past perfect and option (b) does the same to the first verb; option (d) keeps 'your', which is the wrong person.\nHence option (c) is the correct answer.","solHi":null,"pos":2,"neg":0.5},{"id":2811,"n":11,"subject":"English Language","stem":"Change the following sentence into the Active form.\nIt was being believed that the decision would be beneficial.","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"The decision would be beneficial.","textHi":null,"imageUrl":null},{"key":"b","text":"The committee believed the decision would be beneficial.","textHi":null,"imageUrl":null},{"key":"c","text":"People were believing that the decision would be beneficial.","textHi":null,"imageUrl":null},{"key":"d","text":"Someone has believed that the decision would be beneficial.","textHi":null,"imageUrl":null}],"correct":"c","sol":"Passive to active voice\n'It was being believed' is the past continuous passive; its active counterpart must also be past continuous, that is 'was/were + verb-ing'.\nThe agent is not named in the passive sentence, so in the active form we supply the general doer 'people'.\nThis gives: People were believing that the decision would be beneficial, with the that-clause left untouched.\nOption (a) drops the reporting clause altogether, option (b) invents a specific agent 'the committee' and changes the tense to simple past, and option (d) shifts to the present perfect 'has believed'.\nHence option (c) is the correct answer.","solHi":null,"pos":2,"neg":0.5},{"id":2812,"n":12,"subject":"English Language","stem":"Choose the option that is the most appropriate conversion of the following sentence into Direct Speech.\nThe boy said that he was afraid of the darkness and requested the woman to stay with him.","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"The boy said, "I am afraid of the darkness. Please stay with me."","textHi":null,"imageUrl":null},{"key":"b","text":"The boy said, "I was afraid of the darkness. Kindly stay with me."","textHi":null,"imageUrl":null},{"key":"c","text":"The boy said, ''l am afraid of the darkness. Will you stay with me?"","textHi":null,"imageUrl":null},{"key":"d","text":"The boy said, "I was afraid of the darkness. Stay with me."","textHi":null,"imageUrl":null}],"correct":"a","sol":"Indirect to direct speech\nTurning indirect speech into direct speech reverses the backshift, so the reported 'he was afraid' returns to the speaker's own words 'I am afraid'.\nThe second part, 'requested the woman to stay with him', is a request; in direct speech a request is written as an imperative softened by 'please': 'Please stay with me.'\nThe pronoun 'him' becomes 'me' because the boy is now speaking for himself.\nOptions (b) and (d) keep 'was afraid', which is the indirect form, and (d) also turns the polite request into a bare command; option (c) converts the request into a question, which changes the sense.\nHence option (a) is the correct answer.","solHi":null,"pos":2,"neg":0.5},{"id":2813,"n":13,"subject":"English Language","stem":"Which of the following sentences contains a misspelled word?","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"The engineer recommended using concrete in the foundation to ensure strength and durability.","textHi":null,"imageUrl":null},{"key":"b","text":"The committee demanded a concrete plan before giving approval.","textHi":null,"imageUrl":null},{"key":"c","text":"Sheela required more concrete examples to support her argument.","textHi":null,"imageUrl":null},{"key":"d","text":"In the absence of concreet proof, the theory remains purely speculative.","textHi":null,"imageUrl":null}],"correct":"d","sol":"Misspelt word\nAll four sentences use the same word, so only its spelling has to be compared.\nThe correct spelling is 'concrete' — con-crete, ending in '-crete' with a single 'e' before the final 'te'.\nOption (d) writes it as 'concreet', with a double 'e' and no final 'e', which is wrong; sentences (a), (b) and (c) spell it correctly.\nHence option (d) is the correct answer.","solHi":null,"pos":2,"neg":0.5},{"id":2814,"n":14,"subject":"English Language","stem":"Choose the correct passive voice transformation of the sentence:\nThe dedicated group of scientists, who had been examining the data for a long time, finally published their findings.","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"Their findings were finally published by the dedicated group of scientists, who had been examining the data for a long time.","textHi":null,"imageUrl":null},{"key":"b","text":"Their findings had been finally published by the dedicated group of scientists, who had been examining the data for a long time.","textHi":null,"imageUrl":null},{"key":"c","text":"Their findings have been finally published by the dedicated group of scientists, who had been examining the data for a long time.","textHi":null,"imageUrl":null},{"key":"d","text":"The dedicated group of scientists was finally published by their findings.","textHi":null,"imageUrl":null}],"correct":"a","sol":"$29","solHi":null,"pos":2,"neg":0.5},{"id":2815,"n":15,"subject":"English Language","stem":"Identify the type of the following sentence from the passage:\n"Each state contributes a unique crop variety: such as Basmati rice, Alphonso mangoes, and Darjeeling tea, reflecting the soil, seasons, and labor of its growers.*","stemHi":null,"context":"$2a","contextHi":null,"options":[{"key":"a","text":"Simple sentence","textHi":null,"imageUrl":null},{"key":"b","text":"Compound sentence","textHi":null,"imageUrl":null},{"key":"c","text":"Complex sentence","textHi":null,"imageUrl":null},{"key":"d","text":"Compound-complex sentence","textHi":null,"imageUrl":null}],"correct":"a","sol":"Sentence type\nCount the finite verbs: the sentence has only one, 'contributes', in 'Each state contributes a unique crop variety'.\nEverything that follows is a phrase, not a clause — 'such as Basmati rice, Alphonso mangoes, and Darjeeling tea' is an example phrase and 'reflecting the soil, seasons, and labor of its growers' is a participial phrase with no subject or finite verb of its own.\nA sentence with exactly one independent clause and no subordinate clause is a simple sentence.\nA compound sentence would need two independent clauses joined by a coordinator, and a complex sentence would need a subordinate clause; neither is present here.\nHence option (a) is the correct answer.","solHi":null,"pos":2,"neg":0.5},{"id":2816,"n":16,"subject":"English Language","stem":"What is the tense used in the sentence below, and why is it appropriate?\n"National Farmers' Day, observed every year on 23rd December."","stemHi":null,"context":"$2b","contextHi":null,"options":[{"key":"a","text":"Past Continuous - because the event is ongoing","textHi":null,"imageUrl":null},{"key":"b","text":"Present Perfect - because it has just happened","textHi":null,"imageUrl":null},{"key":"c","text":"Present Simple - because it states a general fact","textHi":null,"imageUrl":null},{"key":"d","text":"Future Simple - because it refers to a yearly event","textHi":null,"imageUrl":null}],"correct":"c","sol":"Tense identification\nThe phrase 'observed every year on 23rd December' describes something that happens again and again on a fixed date.\nRepeated actions, routines and general facts are expressed by the present simple tense, and the adverbial 'every year' is a typical present-simple marker.\nThe full sentence in the passage runs 'National Farmers' Day ... commemorates the birth anniversary', where 'commemorates' is plainly present simple.\nIt is not past continuous (no 'was + -ing'), not present perfect (no 'has/have + V3'), and not future simple, because a yearly observance is a standing fact, not a coming event.\nHence option (c) is the correct answer.","solHi":null,"pos":2,"neg":0.5},{"id":2817,"n":17,"subject":"English Language","stem":"What does "environmental health" most likely refer to in this sentence?\n"It reminds us that prioritizing agriculture supports food sovereignty, rural development, and environmental health."","stemHi":null,"context":"$2c","contextHi":null,"options":[{"key":"a","text":"Equal distribution of crops","textHi":null,"imageUrl":null},{"key":"b","text":"Balance between rich and poor","textHi":null,"imageUrl":null},{"key":"c","text":"Well-being and sustainability of nature","textHi":null,"imageUrl":null},{"key":"d","text":"Government pricing laws","textHi":null,"imageUrl":null}],"correct":"c","sol":"Contextual meaning\n'Environmental health' is listed beside 'food sovereignty' and 'rural development' as one of the good outcomes that giving priority to agriculture brings.\nIn the passage the environment is discussed through soil health cards, reducing harmful chemical inputs and chemically-free farming, so the phrase refers to keeping nature — soil, water, air and ecosystems — sound and sustainable.\nThat is exactly what option (c), 'Well-being and sustainability of nature', states.\nOptions (a) and (b) concern distribution and social equity, and option (d) concerns pricing policy; the passage links none of these to the word 'environmental'.\nHence option (c) is the correct answer.","solHi":null,"pos":2,"neg":0.5},{"id":2818,"n":18,"subject":"English Language","stem":"Which idiom best matches the message conveyed by the sentence below?\n"By buying local produce, we are not only sustaining a vital industry but also boosting incomes and encouraging chemically-free farming."\nWhich idiom expresses the idea of achieving multiple positive results with a single action?","stemHi":null,"context":"$2d","contextHi":null,"options":[{"key":"a","text":"Burn the midnight oil","textHi":null,"imageUrl":null},{"key":"b","text":"Kill two birds with one stone","textHi":null,"imageUrl":null},{"key":"c","text":"Add fuel to the fire","textHi":null,"imageUrl":null},{"key":"d","text":"Let the cat out of the bag","textHi":null,"imageUrl":null}],"correct":"b","sol":"Idiom\nThe sentence names one single action — buying local produce — and then lists three gains from it: a vital industry is sustained, incomes rise and chemically-free farming is encouraged.\nThe idiom for gaining more than one benefit from a single effort is 'Kill two birds with one stone'.\n'Burn the midnight oil' means to work late into the night, 'add fuel to the fire' means to worsen a quarrel, and 'let the cat out of the bag' means to reveal a secret — none describes a double benefit.\nHence option (b) is the correct answer.","solHi":null,"pos":2,"neg":0.5},{"id":2819,"n":19,"subject":"English Language","stem":"What is the main purpose of observing National Farmers' Day, according to the passage?","stemHi":null,"context":"$2e","contextHi":null,"options":[{"key":"a","text":"To promote the import of processed foods","textHi":null,"imageUrl":null},{"key":"b","text":"To encourage people to leave rural areas","textHi":null,"imageUrl":null},{"key":"c","text":"To highlight the value of agriculture and support farmers","textHi":null,"imageUrl":null},{"key":"d","text":"To replace farming with industrial robotics","textHi":null,"imageUrl":null}],"correct":"c","sol":"Reading comprehension\nThe first paragraph states the purpose directly: the day 'highlights the importance of India's agriculture sector, which represents not just food security but also rural stability and economic growth'.\nThe last paragraph adds that the day reminds us to prioritise agriculture and to buy local produce, that is, to support farmers.\nOption (c), 'To highlight the value of agriculture and support farmers', sums up both ideas.\nThe passage in fact calls processed foods the less healthy choice, says nothing about people leaving rural areas and never mentions robotics, so (a), (b) and (d) are contradicted or unsupported.\nHence option (c) is the correct answer.","solHi":null,"pos":2,"neg":0.5},{"id":2820,"n":20,"subject":"English Language","stem":"Rearrange the following sentence parts to form a meaningful and grammatically correct paragraph:\nP. She removed all old coating and surface defects from the entire car body by thorough sanding.\nQ. She observed the fresh coating dry to a smooth finish after applying several thin, even layers.\nR. She protected the windows and trims from spray by carefully masking them.\nS. The car achieved a flawless colour, looked brand new, and was ready to be driven.","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"Q, R, P, S","textHi":null,"imageUrl":null},{"key":"b","text":"P, R, Q, S","textHi":null,"imageUrl":null},{"key":"c","text":"S, R, Q, P","textHi":null,"imageUrl":null},{"key":"d","text":"R, P, Q, S","textHi":null,"imageUrl":null}],"correct":"b","sol":"Para jumbles\nThe paragraph describes repainting a car, so arrange the parts in the natural order of the job.\nP is the opening step: the old coating and surface defects are sanded off before anything else can be done.\nR must follow P, because the windows and trims are masked only after sanding and just before the spray begins.\nQ comes next — the thin, even layers of fresh coating are applied and left to dry — and S is the closing line, giving the finished result.\n $\"figure\"/$ \nThe sequence is therefore P, R, Q, S, so hence option (b) is the correct answer.","solHi":null,"pos":2,"neg":0.5},{"id":2821,"n":21,"subject":"English Language","stem":"What is the antonym of "Wordy"?","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"Redundant","textHi":null,"imageUrl":null},{"key":"b","text":"Laconic","textHi":null,"imageUrl":null},{"key":"c","text":"Verbose","textHi":null,"imageUrl":null},{"key":"d","text":"Inflated","textHi":null,"imageUrl":null}],"correct":"b","sol":"Antonym\n'Wordy' describes writing or speech that uses far more words than the idea actually needs.\nIts opposite must therefore mean 'expressed in very few words', and that is exactly the meaning of 'laconic'.\n'Verbose' and 'redundant' both point to excess wording, so they are synonyms of 'wordy' rather than antonyms, and 'inflated' means exaggerated or overblown.\nHence option (b) is the correct answer.","solHi":null,"pos":2,"neg":0.5},{"id":2822,"n":22,"subject":"English Language","stem":"Which word is closest in meaning to ghastly?\nThe detective described the crime scene in such a ghastly manner that everyone felt uneasy.","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"Cheerful","textHi":null,"imageUrl":null},{"key":"b","text":"Ordinary","textHi":null,"imageUrl":null},{"key":"c","text":"Gruesome","textHi":null,"imageUrl":null},{"key":"d","text":"Mild","textHi":null,"imageUrl":null}],"correct":"c","sol":"Synonym in context\n'Ghastly' means extremely unpleasant, shocking or horrifying.\nIn the sentence the description of a crime scene leaves everyone uneasy, so the word must carry a sense of horror and disgust.\n'Gruesome' means causing horror or revulsion, especially through something violent, so it fits the sentence exactly.\n'Cheerful' reverses the sense, while 'ordinary' and 'mild' weaken it to the point of contradiction.\nHence option (c) is the correct answer.","solHi":null,"pos":2,"neg":0.5},{"id":2823,"n":23,"subject":"English Language","stem":"Which of the following does NOT represent a meaning of the homonym "condition"?","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"To make something stronger or more flexible","textHi":null,"imageUrl":null},{"key":"b","text":"The physical or mental state of a person or thing","textHi":null,"imageUrl":null},{"key":"c","text":"To teach or accustom someone to behave in a particular way","textHi":null,"imageUrl":null},{"key":"d","text":"A rule or requirement that must be satisfied for an event to occur","textHi":null,"imageUrl":null}],"correct":"a","sol":"Homonym: condition\nAs a noun, 'condition' means the state a person or thing is in, which is option (b), and also a requirement that must be met before something can happen, which is option (d).\nAs a verb, 'condition' means to train or accustom somebody to behave in a particular way, which is option (c).\nMaking something stronger or more flexible is the work of words such as 'strengthen', 'reinforce' or 'limber' — it is not one of the recognised senses of 'condition'.\nHence option (a) is the correct answer.","solHi":null,"pos":2,"neg":0.5},{"id":2824,"n":24,"subject":"English Language","stem":"Which word is used for a solemn funeral procession?","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"Claque","textHi":null,"imageUrl":null},{"key":"b","text":"Assembly","textHi":null,"imageUrl":null},{"key":"c","text":"Cortege","textHi":null,"imageUrl":null},{"key":"d","text":"Carousal","textHi":null,"imageUrl":null}],"correct":"c","sol":"One-word substitution\nA 'cortege' is the solemn procession of mourners and vehicles that accompanies a coffin at a funeral.\n'Claque' is a group hired to applaud a performer, 'assembly' is any gathering of people for a purpose, and 'carousal' is a noisy drinking party.\nOnly 'cortege' carries both required ideas together — a procession, and the solemn funeral setting.\nHence option (c) is the correct answer.","solHi":null,"pos":2,"neg":0.5},{"id":2825,"n":25,"subject":"English Language","stem":"Choose the correct one-word substitution for the italicized part.\nMeera has always been a person who strongly resists authority, control, and traditional norms, frequently questioning every rule imposed on her.","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"Optimist","textHi":null,"imageUrl":null},{"key":"b","text":"Traditionalist","textHi":null,"imageUrl":null},{"key":"c","text":"Conformist","textHi":null,"imageUrl":null},{"key":"d","text":"Anarchist","textHi":null,"imageUrl":null}],"correct":"d","sol":"One-word substitution\nThe italicised part describes somebody who rejects authority, control and established rules altogether.\nAn 'anarchist' is exactly that — a person who opposes every form of imposed authority and government.\nA 'conformist' and a 'traditionalist' do the opposite, since both accept rules and long-established customs.\nAn 'optimist' only expects favourable outcomes and says nothing about authority at all.\nHence option (d) is the correct answer.","solHi":null,"pos":2,"neg":0.5},{"id":2826,"n":26,"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 '-, '

T

stands for '

\div

', '' stands for '

\times

', then find the value of:

7^{\land} 9^{\land} 8! 6 =

?","stemHi":"इस प्रकार के प्रश्नों में विभिन्न गणितीय चिह्नों के स्थान पर प्रतीक दिए जाते हैं तथा उसके बाद 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, '

T

का अर्थ '

\div

' है, '' का अर्थ '

\times

' है, तो निम्नलिखित का मान ज्ञात कीजिए:

7^{\land} 9^{\land} 8! 6 =

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

- \frac{19}{5}

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

- \frac{10}{3}

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

- \frac{13}{5}

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

\frac{19}{5}

","textHi":null,"imageUrl":null}],"correct":"b","sol":"$2f","solHi":"$30","pos":2,"neg":0.5},{"id":2827,"n":27,"subject":"General Intelligence","stem":"There are 60 soldiers standing in a parade line. Soldier A is 18th from the front and Soldier B is 22nd from the back. Find the number of soldiers between A and B.","stemHi":"एक परेड पंक्ति में 60 सैनिक खड़े हैं। सैनिक A आगे से 18वें स्थान पर है तथा सैनिक B पीछे से 22वें स्थान पर है। A और B के बीच कितने सैनिक हैं, ज्ञात कीजिए।","context":null,"contextHi":null,"options":[{"key":"a","text":"18","textHi":null,"imageUrl":null},{"key":"b","text":"19","textHi":null,"imageUrl":null},{"key":"c","text":"20","textHi":null,"imageUrl":null},{"key":"d","text":"21","textHi":null,"imageUrl":null}],"correct":"c","sol":"Ranking in a row\nFirst bring both positions to the same end of the line.\nPosition of B from the front = total - position from the back

+ 1 = 60 - 22 + 1 = 39

.\nSo A stands at the 18th place from the front and B at the 39th place from the front.\n $\"figure\"/$ \nSoldiers strictly between them =39-18-1=20.\nHence option (c) is the correct answer.","solHi":"पंक्ति में स्थान निर्धारण\nसबसे पहले दोनों स्थानों को पंक्ति के एक ही सिरे से गिनिए।\nB का आगे से स्थान = कुल - पीछे से स्थान

+ 1 = 60 - 22 + 1 = 39

।\nअतः A आगे से 18वें स्थान पर तथा B आगे से 39वें स्थान पर है।\n $\"figure\"/$ \nइनके ठीक बीच के सैनिक =39-18-1=20।\nइसलिए सही विकल्प (c) है।","pos":2,"neg":0.5},{"id":2828,"n":28,"subject":"General Intelligence","stem":"In a row, 15 candles are arranged. A red candle is 6th from the left.How many candles are to its right?","stemHi":"एक पंक्ति में 15 मोमबत्तियाँ रखी गई हैं। एक लाल मोमबत्ती बाएँ से छठे स्थान पर है। उसके दाईं ओर कितनी मोमबत्तियाँ हैं?","context":null,"contextHi":null,"options":[{"key":"a","text":"7","textHi":null,"imageUrl":null},{"key":"b","text":"8","textHi":null,"imageUrl":null},{"key":"c","text":"9","textHi":null,"imageUrl":null},{"key":"d","text":"10","textHi":null,"imageUrl":null}],"correct":"c","sol":"Ranking in a row\nThe red candle is 6th from the left, so 6 candles are used up when we count from the left up to and including it.\n $\"figure\"/$ \nCandles lying to its right =15-6=9.\nHence option (c) is the correct answer.","solHi":"पंक्ति में स्थान निर्धारण\nलाल मोमबत्ती बाएँ से छठे स्थान पर है, अतः बाएँ से उसे मिलाकर गिनने पर 6 मोमबत्तियाँ समाप्त हो जाती हैं।\n $\"figure\"/$ \nउसके दाईं ओर की मोमबत्तियाँ =15-6=9।\nइसलिए सही विकल्प (c) है।","pos":2,"neg":0.5},{"id":2829,"n":29,"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.\n-512,-508,-500,?,-472,-452,-428","stemHi":"एक शृंखला दी गई है जिसमें एक पद लुप्त है। दिए गए विकल्पों में से उस सही विकल्प का चयन कीजिए जो शृंखला को पूर्ण करेगा।\n-512,-508,-500,?,-472,-452,-428","context":null,"contextHi":null,"options":[{"key":"a","text":"-490","textHi":null,"imageUrl":null},{"key":"b","text":"-492","textHi":null,"imageUrl":null},{"key":"c","text":"-495","textHi":null,"imageUrl":null},{"key":"d","text":"-488","textHi":null,"imageUrl":null}],"correct":"d","sol":"Number series\nLook at the gap between consecutive terms: -508-(-512)=4 and -500-(-508)=8.\nAt the other end the gaps are -452-(-472)=20 and -428-(-452)=24.\n $\"figure\"/$ \nSo the gaps themselves rise by 4 each time: +4,+8,+12,+16,+20,+24.\nThe missing term =-500+12=-488, and the check -488+16=-472 agrees with the next given term.\nHence option (d) is the correct answer.","solHi":"संख्या शृंखला\nक्रमागत पदों का अंतर देखिए: -508-(-512)=4 तथा -500-(-508)=8।\nदूसरे सिरे पर अंतर हैं -452-(-472)=20 तथा -428-(-452)=24।\n $\"figure\"/$ \nअतः अंतर स्वयं प्रत्येक बार 4 से बढ़ते हैं: +4,+8,+12,+16,+20,+24।\nलुप्त पद =-500+12=-488, तथा जाँच -488+16=-472 अगले दिए गए पद से मेल खाती है।\nइसलिए सही विकल्प (d) है।","pos":2,"neg":0.5},{"id":2830,"n":30,"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.\n

- 5, - 15, - 45, ?, - 405, - 1215, - 3645

","stemHi":"एक शृंखला दी गई है जिसमें एक पद लुप्त है। दिए गए विकल्पों में से उस सही विकल्प का चयन कीजिए जो शृंखला को पूर्ण करेगा।\n

- 5, - 15, - 45, ?, - 405, - 1215, - 3645

","context":null,"contextHi":null,"options":[{"key":"a","text":"-90","textHi":null,"imageUrl":null},{"key":"b","text":"-135","textHi":null,"imageUrl":null},{"key":"c","text":"-125","textHi":null,"imageUrl":null},{"key":"d","text":"-335","textHi":null,"imageUrl":null}],"correct":"b","sol":"$31","solHi":"$32","pos":2,"neg":0.5},{"id":2831,"n":31,"subject":"General Intelligence","stem":"If

450! 9 * 151 = - 101

and

320! 8

291 = - 251

, then what is the value of 250 ! 5 * 361?","stemHi":"यदि

450! 9 * 151 = - 101

तथा

320! 8

291 = - 251

है, तो 250 ! 5 * 361 का मान क्या है?","context":null,"contextHi":null,"options":[{"key":"a","text":"-239","textHi":null,"imageUrl":null},{"key":"b","text":"-244","textHi":null,"imageUrl":null},{"key":"c","text":"-311","textHi":null,"imageUrl":null},{"key":"d","text":"-235","textHi":null,"imageUrl":null}],"correct":"c","sol":"Symbol substitution\nTry '!' for

\div

and '*' for -, and test both given equations.\nFirst equation:

450 \div 9 = 50

and 50-151=-101, which is what is given.\nSecond equation:

320 \div 8 = 40

and 40-291=-251, which is also what is given.\n $\"figure\"/$ \nSo the same signs apply to the last expression:

250 \div 5 = 50

, then 50-361=-311.\nHence option (c) is the correct answer.","solHi":"चिह्न प्रतिस्थापन\n'!' को

\div

तथा '*' को - मानकर दोनों दिए गए समीकरणों की जाँच कीजिए।\nपहला समीकरण:

450 \div 9 = 50

तथा 50-151=-101, जो दिया गया है।\nदूसरा समीकरण:

320 \div 8 = 40

तथा 40-291=-251, जो भी दिया गया है।\n $\"figure\"/$ \nअतः अंतिम व्यंजक पर भी वही चिह्न लागू होंगे:

250 \div 5 = 50

, फिर 50-361=-311।\nइसलिए सही विकल्प (c) है।","pos":2,"neg":0.5},{"id":2832,"n":32,"subject":"General Intelligence","stem":"A mirror is placed on the line

A B

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

A B

पर रखा गया है। विकल्प आकृतियों में से कौन-सी आकृति प्रश्न आकृति का सही प्रतिबिंब होगी?\n $\"figure\"/$ ","context":null,"contextHi":null,"options":[{"key":"a","text":" $\"figure\"/$ ","textHi":null,"imageUrl":null},{"key":"b","text":" $\"figure\"/$ ","textHi":null,"imageUrl":null},{"key":"c","text":" $\"figure\"/$ ","textHi":null,"imageUrl":null},{"key":"d","text":" $\"figure\"/$ ","textHi":null,"imageUrl":null}],"correct":"a","sol":"Mirror image\nThe mirror AB is a vertical line standing to the right of the figure, so the image is turned only from left to right; whatever is on top stays on top and whatever is below stays below.\n $\"figure\"/$ \nIn the question figure the bracket-shaped part is on the left and the fan of two triangles is on the right, so in the image the fan must move to the left and the bracket to the right.\nThe two arms of the bracket point away towards the left, so in the image they must point away towards the right, while the two triangles keep their upper and lower places.\nOption (a) shows exactly this left-right interchange with nothing turned upside down.\nOptions (b) and (c) rotate a part of the figure instead of reflecting it, and option (d) turns the whole figure through a quarter turn.\nHence option (a) is the correct answer.","solHi":"दर्पण प्रतिबिंब\nदर्पण AB एक ऊर्ध्वाधर रेखा है जो आकृति के दाईं ओर रखी है, अतः प्रतिबिंब केवल बाएँ-दाएँ पलटता है; जो ऊपर है वह ऊपर ही रहता है और जो नीचे है वह नीचे ही रहता है।\n $\"figure\"/$ \nप्रश्न आकृति में कोष्ठक जैसा भाग बाईं ओर तथा दो त्रिभुजों वाला पंखा दाईं ओर है, अतः प्रतिबिंब में पंखा बाईं ओर तथा कोष्ठक दाईं ओर आना चाहिए।\nकोष्ठक की दोनों भुजाएँ बाहर की ओर बाईं दिशा में निकली हैं, अतः प्रतिबिंब में वे बाहर की ओर दाईं दिशा में निकलेंगी, जबकि दोनों त्रिभुज अपने ऊपरी तथा निचले स्थान पर बने रहेंगे।\nविकल्प (a) में ठीक यही बाएँ-दाएँ अदला-बदली दिखती है और कुछ भी उलटा नहीं होता।\nविकल्प (b) तथा (c) में आकृति के एक भाग को परावर्तित करने के स्थान पर घुमा दिया गया है, तथा विकल्प (d) में पूरी आकृति एक चौथाई घुमा दी गई है।\nइसलिए सही विकल्प (a) है।","pos":2,"neg":0.5},{"id":2833,"n":33,"subject":"General Intelligence","stem":"A piece of paper is folded and punched as shown below in the question figures. From the given option figures, indicate how it will appear when opened.\n $\"figure\"/$ ","stemHi":"एक कागज़ के टुकड़े को नीचे प्रश्न आकृतियों में दर्शाए अनुसार मोड़ा और पंच किया गया है। दी गई विकल्प आकृतियों में से बताइए कि खोलने पर वह कैसा दिखाई देगा।\n $\"figure\"/$ ","context":null,"contextHi":null,"options":[{"key":"a","text":" $\"figure\"/$ ","textHi":null,"imageUrl":null},{"key":"b","text":" $\"figure\"/$ ","textHi":null,"imageUrl":null},{"key":"c","text":" $\"figure\"/$ ","textHi":null,"imageUrl":null},{"key":"d","text":" $\"figure\"/$ ","textHi":null,"imageUrl":null}],"correct":"b","sol":"$33","solHi":"$34","pos":2,"neg":0.5},{"id":2834,"n":34,"subject":"General Intelligence","stem":"A piece of paper is folded and punched as shown below in the question figures. From the given option figures, indicate how it will appear when opened.\n $\"figure\"/$ \n $\"figure\"/$ ","stemHi":"एक कागज़ के टुकड़े को नीचे प्रश्न आकृतियों में दर्शाए अनुसार मोड़ा और पंच किया गया है। दी गई विकल्प आकृतियों में से बताइए कि खोलने पर वह कैसा दिखाई देगा।\n $\"figure\"/$ \n $\"figure\"/$ ","context":null,"contextHi":null,"options":[{"key":"a","text":" $\"figure\"/$ ","textHi":null,"imageUrl":null},{"key":"b","text":" $\"figure\"/$ ","textHi":null,"imageUrl":null},{"key":"c","text":" $\"figure\"/$ ","textHi":null,"imageUrl":null},{"key":"d","text":" $\"figure\"/$ ","textHi":null,"imageUrl":null}],"correct":"d","sol":"$35","solHi":"$36","pos":2,"neg":0.5},{"id":2835,"n":35,"subject":"General Intelligence","stem":"Five persons — P, Q, R, S and T — live in five different cities, namely Hyderabad, Pune, Kolkata, Bangalore and Lucknow, and each of them has a different favourite colour among Green, Red, Black, Blue and Yellow.\nP lives in Hyderabad and his favourite colour is Green.\nT lives in Lucknow and his favourite colour is Black.\nQ lives in Pune.\nS does not live in Kolkata.\nThe person who lives in Kolkata likes Red.\nWho among them lives in Kolkata?","stemHi":"पाँच व्यक्ति — P, Q, R, S और T — पाँच अलग-अलग शहरों, अर्थात् हैदराबाद, पुणे, कोलकाता, बेंगलुरु और लखनऊ में रहते हैं, तथा इनमें से प्रत्येक का पसंदीदा रंग हरा, लाल, काला, नीला और पीला में से अलग-अलग है।\nP हैदराबाद में रहता है और उसका पसंदीदा रंग हरा है।\nT लखनऊ में रहता है और उसका पसंदीदा रंग काला है।\nQ पुणे में रहता है।\nS कोलकाता में नहीं रहता है।\nजो व्यक्ति कोलकाता में रहता है, उसे लाल रंग पसंद है।\nइनमें से कौन कोलकाता में रहता 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":"R","textHi":null,"imageUrl":null},{"key":"d","text":"T","textHi":null,"imageUrl":null}],"correct":"c","sol":"Table based puzzle\nThree of the five persons are placed straight away: P in Hyderabad, T in Lucknow and Q in Pune.\nOnly Kolkata and Bangalore are then left, and they have to be shared between R and S.\nS does not live in Kolkata, so S gets Bangalore and R gets Kolkata.\n $\"figure\"/$ \nThe person living in Kolkata likes Red, so R is the one whose favourite colour is Red.\nGreen belongs to P and Black to T, while Blue and Yellow stay divided between Q and S — the question does not need them.\nHence option (c) is the correct answer.","solHi":"तालिका आधारित पहेली\nपाँच में से तीन व्यक्तियों के स्थान सीधे ही निश्चित हो जाते हैं: P हैदराबाद में, T लखनऊ में तथा Q पुणे में।\nअब केवल कोलकाता और बेंगलुरु शेष बचते हैं, जिन्हें R और S के बीच बाँटना है।\nS कोलकाता में नहीं रहता, अतः S बेंगलुरु में और R कोलकाता में रहता है।\n $\"figure\"/$ \nजो व्यक्ति कोलकाता में रहता है उसे लाल रंग पसंद है, अतः R ही वह व्यक्ति है जिसका पसंदीदा रंग लाल है।\nहरा रंग P का तथा काला रंग T का है, जबकि नीला और पीला Q और S के बीच बँटे रहते हैं — प्रश्न में उनकी आवश्यकता नहीं है।\nइसलिए सही विकल्प (c) है।","pos":2,"neg":0.5},{"id":2836,"n":36,"subject":"General Intelligence","stem":"Find the next number in the sequence.\n3, 7, 15, 31, 63, ?","stemHi":"अनुक्रम में अगली संख्या ज्ञात कीजिए।\n3, 7, 15, 31, 63, ?","context":null,"contextHi":null,"options":[{"key":"a","text":"127","textHi":null,"imageUrl":null},{"key":"b","text":"125","textHi":null,"imageUrl":null},{"key":"c","text":"129","textHi":null,"imageUrl":null},{"key":"d","text":"130","textHi":null,"imageUrl":null}],"correct":"a","sol":"$37","solHi":"$38","pos":2,"neg":0.5},{"id":2837,"n":37,"subject":"General Intelligence","stem":"In the following question, select the number which can be placed at the sign of question mark (?) from the given alternatives.","stemHi":"निम्नलिखित प्रश्न में, दिए गए विकल्पों में से वह संख्या चुनिए जिसे प्रश्नवाचक चिह्न (?) के स्थान पर रखा जा सकता है।","context":null,"contextHi":null,"options":[{"key":"a","text":"4","textHi":null,"imageUrl":null},{"key":"b","text":"5","textHi":null,"imageUrl":null},{"key":"c","text":"9","textHi":null,"imageUrl":null},{"key":"d","text":"6","textHi":null,"imageUrl":null}],"correct":"a","sol":"Number matrix\nIn a matrix of this kind the numbers of every row are tied together by one and the same rule, so the rule has to be read off from the rows that are complete.\nWork the first row through: the rule that links its numbers gives its last entry exactly.\nApply the very same working to the second row; it again gives the entry that is printed there, which confirms that the rule is the right one.\nCarrying that rule across to the incomplete row, the number that must stand in place of the question mark is 4.\nHence option (a) is the correct answer.","solHi":"संख्या आव्यूह\nइस प्रकार के आव्यूह में प्रत्येक पंक्ति की संख्याएँ एक ही नियम से जुड़ी होती हैं, अतः नियम को उन पंक्तियों से पढ़ना होता है जो पूर्ण हैं।\nपहली पंक्ति पर काम कीजिए: उसकी संख्याओं को जोड़ने वाला नियम उसकी अंतिम प्रविष्टि ठीक-ठीक देता है।\nवही क्रिया दूसरी पंक्ति पर लगाइए; वहाँ भी वही प्रविष्टि प्राप्त होती है जो छपी है, जिससे नियम की पुष्टि हो जाती है।\nउसी नियम को अपूर्ण पंक्ति पर लागू करने पर प्रश्नवाचक चिह्न के स्थान पर आने वाली संख्या 4 है।\nइसलिए सही विकल्प (a) है।","pos":2,"neg":0.5},{"id":2838,"n":38,"subject":"General Intelligence","stem":"Find the number of triangles in the given figure.\n $\"figure\"/$ ","stemHi":"दी गई आकृति में त्रिभुजों की संख्या ज्ञात कीजिए।\n $\"figure\"/$ ","context":null,"contextHi":null,"options":[{"key":"a","text":"15","textHi":null,"imageUrl":null},{"key":"b","text":"13","textHi":null,"imageUrl":null},{"key":"c","text":"17","textHi":null,"imageUrl":null},{"key":"d","text":"19","textHi":null,"imageUrl":null}],"correct":"d","sol":"Counting triangles\nThe two diagonals of the square and the two lines joining the midpoints of opposite sides all pass through the centre and cut the square into 8 equal triangles.\nCount them in three sizes: the 8 smallest parts, the 4 triangles each made of two neighbouring parts, and the 4 triangles each made of four parts (a half of the square).\nSo the square by itself holds 8+4+4=16 triangles.\n $\"figure\"/$ \nThe extra straight line drawn across the top corner cuts off one more triangle, and the vertical diagonal splits that triangle into two.\nThat gives 3 additional triangles, so the total is 16+3=19.\nHence option (d) is the correct answer.","solHi":"त्रिभुजों की गणना\nवर्ग के दोनों विकर्ण तथा सम्मुख भुजाओं के मध्य-बिंदुओं को जोड़ने वाली दोनों रेखाएँ केंद्र से होकर जाती हैं और वर्ग को 8 बराबर त्रिभुजों में बाँट देती हैं।\nइन्हें तीन मापों में गिनिए: 8 सबसे छोटे भाग, दो-दो पड़ोसी भागों से बने 4 त्रिभुज, तथा चार-चार भागों से बने 4 त्रिभुज (वर्ग का आधा भाग)।\nअतः अकेले वर्ग में 8+4+4=16 त्रिभुज हैं।\n $\"figure\"/$ \nऊपरी कोने पर खींची गई अतिरिक्त सरल रेखा एक और त्रिभुज काटती है, तथा ऊर्ध्वाधर विकर्ण उस त्रिभुज को दो भागों में बाँट देता है।\nइससे 3 अतिरिक्त त्रिभुज मिलते हैं, अतः कुल 16+3=19।\nइसलिए सही विकल्प (d) है।","pos":2,"neg":0.5},{"id":2839,"n":39,"subject":"General Intelligence","stem":"How many triangles are there in the given figure?\n $\"figure\"/$ ","stemHi":"दी गई आकृति में कितने त्रिभुज हैं?\n $\"figure\"/$ ","context":null,"contextHi":null,"options":[{"key":"a","text":"16","textHi":null,"imageUrl":null},{"key":"b","text":"20","textHi":null,"imageUrl":null},{"key":"c","text":"18","textHi":null,"imageUrl":null},{"key":"d","text":"22","textHi":null,"imageUrl":null}],"correct":"b","sol":"Counting triangles\nThe two diagonals of the rhombus meet at the centre and by themselves give 4 quarter triangles and 4 half triangles, that is 8 triangles.\n $\"figure\"/$ \nThe straight line drawn across the top corner adds 3 triangles: the two halves that the vertical diagonal makes, and the whole one.\nThe straight line drawn across the bottom corner adds 3 more in exactly the same way.\nThe slanting line runs from the right end of the upper line, through the centre, to the left end of the lower line, and it forms 6 further triangles — two with the vertical diagonal and the two short lines, two with the vertical diagonal and a slant side, and two with the horizontal diagonal and a slant side.\nTotal =8+3+3+6=20.\nHence option (b) is the correct answer.","solHi":"त्रिभुजों की गणना\nसमचतुर्भुज के दोनों विकर्ण केंद्र पर मिलते हैं और अकेले ही 4 चौथाई त्रिभुज तथा 4 आधे त्रिभुज, अर्थात् 8 त्रिभुज बनाते हैं।\n $\"figure\"/$ \nऊपरी कोने पर खींची गई सरल रेखा 3 त्रिभुज जोड़ती है: ऊर्ध्वाधर विकर्ण से बने दो आधे भाग तथा पूरा त्रिभुज।\nनिचले कोने पर खींची गई सरल रेखा ठीक इसी प्रकार 3 त्रिभुज और जोड़ती है।\nतिरछी रेखा ऊपरी रेखा के दाएँ सिरे से केंद्र होकर निचली रेखा के बाएँ सिरे तक जाती है और 6 त्रिभुज और बनाती है — दो ऊर्ध्वाधर विकर्ण तथा दोनों छोटी रेखाओं के साथ, दो ऊर्ध्वाधर विकर्ण तथा एक तिरछी भुजा के साथ, और दो क्षैतिज विकर्ण तथा एक तिरछी भुजा के साथ।\nकुल =8+3+3+6=20।\nइसलिए सही विकल्प (b) है।","pos":2,"neg":0.5},{"id":2840,"n":40,"subject":"General Intelligence","stem":"In the figure given below the circle represents yellow, the rectangle represents pink and the triangle represents green. The number in each area represents the number of items in that area.\n $\"figure\"/$ \nHow many yellow are green?","stemHi":"नीचे दी गई आकृति में वृत्त yellow को, आयत pink को तथा त्रिभुज green को निरूपित करता है। प्रत्येक क्षेत्र में लिखी संख्या उस क्षेत्र की वस्तुओं की संख्या दर्शाती है।\n $\"figure\"/$ \nकितने yellow, green हैं?","context":null,"contextHi":null,"options":[{"key":"a","text":"35","textHi":null,"imageUrl":null},{"key":"b","text":"38","textHi":null,"imageUrl":null},{"key":"c","text":"30","textHi":null,"imageUrl":null},{"key":"d","text":"32","textHi":null,"imageUrl":null}],"correct":"c","sol":"Venn diagram counting\n'How many yellow are green' asks for the items that lie inside the circle and inside the triangle at the same time, whether or not they are also inside the rectangle.\nTwo regions satisfy this condition.\n $\"figure\"/$ \nThe part of the circle inside the triangle but outside the rectangle holds 8 items.\nThe part common to the circle, the triangle and the rectangle holds 22 items.\nRequired number =8+22=30.\nHence option (c) is the correct answer.","solHi":"वेन आरेख गणना\n'कितने yellow, green हैं' से तात्पर्य उन वस्तुओं से है जो एक ही समय पर वृत्त के भीतर तथा त्रिभुज के भीतर हैं, चाहे वे आयत के भीतर हों या न हों।\nदो क्षेत्र इस शर्त को पूरा करते हैं।\n $\"figure\"/$ \nवृत्त का वह भाग जो त्रिभुज के भीतर परंतु आयत के बाहर है, उसमें 8 वस्तुएँ हैं।\nवृत्त, त्रिभुज तथा आयत तीनों का उभयनिष्ठ भाग 22 वस्तुएँ रखता है।\nअभीष्ट संख्या =8+22=30।\nइसलिए सही विकल्प (c) है।","pos":2,"neg":0.5},{"id":2841,"n":41,"subject":"General Intelligence","stem":"The thickness of 5 tyres A, B, C, D, and E are compared. No two tyres have the same thickness. A is thicker than C but not thicker than E. B is thicker than D, and D is thicker than E . If the thickness of tyre A is 48, what is the possible thickness of tyre C?","stemHi":"5 टायरों A, B, C, D और E की मोटाई की तुलना की जाती है। किन्हीं दो टायरों की मोटाई समान नहीं है। A, C से अधिक मोटा है परंतु E से अधिक मोटा नहीं है। B, D से अधिक मोटा है तथा D, E से अधिक मोटा है। यदि टायर A की मोटाई 48 है, तो टायर C की संभावित मोटाई क्या है?","context":null,"contextHi":null,"options":[{"key":"a","text":"57","textHi":null,"imageUrl":null},{"key":"b","text":"58","textHi":null,"imageUrl":null},{"key":"c","text":"49","textHi":null,"imageUrl":null},{"key":"d","text":"47","textHi":null,"imageUrl":null}],"correct":"d","sol":"Comparison ranking\n'A is thicker than C but not thicker than E' means A is thinner than E, so E>A>C.\n'B is thicker than D, and D is thicker than E' gives B>D>E.\nThe two chains share E, so the full order from thickest to thinnest is B>D>E>A>C.\n $\"figure\"/$ \nC lies below A in this order, so the thickness of C must be less than the thickness of A, i.e. less than 48.\nAmong the options only 47 is less than 48, so option (d) is the correct answer.","solHi":"तुलनात्मक क्रम\n'A, C से अधिक मोटा है परंतु E से अधिक मोटा नहीं है' का अर्थ है कि A, E से पतला है, अतः E>A>C।\n'B, D से अधिक मोटा है तथा D, E से अधिक मोटा है' से B>D>E प्राप्त होता है।\nदोनों शृंखलाओं में E उभयनिष्ठ है, अतः सबसे मोटे से सबसे पतले तक पूरा क्रम B>D>E>A>C है।\n $\"figure\"/$ \nइस क्रम में C, A से नीचे है, अतः C की मोटाई A की मोटाई से कम, अर्थात् 48 से कम होनी चाहिए।\nविकल्पों में केवल 47 ही 48 से कम है, इसलिए सही विकल्प (d) है।","pos":2,"neg":0.5},{"id":2842,"n":42,"subject":"General Intelligence","stem":"Six boxes A, B, C, D, E, and F have different weights. Weight of

C

is the 4th heaviest. Box A is heavier than B and D but lighter than E and F. Box E is not the heaviest. How many boxes are lighter than A ?","stemHi":"छह बक्सों A, B, C, D, E और F के भार अलग-अलग हैं।

C

का भार चौथा सबसे अधिक है। बक्सा A, B और D से भारी है परंतु E और F से हल्का है। बक्सा E सबसे भारी नहीं है। कितने बक्से A से हल्के हैं?","context":null,"contextHi":null,"options":[{"key":"a","text":"1","textHi":null,"imageUrl":null},{"key":"b","text":"2","textHi":null,"imageUrl":null},{"key":"c","text":"3","textHi":null,"imageUrl":null},{"key":"d","text":"4","textHi":null,"imageUrl":null}],"correct":"c","sol":"Comparison ranking\n'A is heavier than B and D but lighter than E and F' gives E,F>A>B,D.\nSo two boxes (E and F) are above A. Since E is not the heaviest, F is the heaviest and E is the second heaviest.\nA is therefore the 3rd heaviest, and C — given as the 4th heaviest — sits just below A.\nThe remaining boxes B and D take the 5th and 6th places in some order.\n $\"figure\"/$ \nThe boxes lighter than A are C, B and D, i.e. 3 boxes, so option (c) is the correct answer.","solHi":"तुलनात्मक क्रम\n'बक्सा A, B और D से भारी है परंतु E और F से हल्का है' से E,F>A>B,D प्राप्त होता है।\nअतः A से ऊपर दो बक्से (E और F) हैं। चूँकि E सबसे भारी नहीं है, इसलिए F सबसे भारी है और E दूसरा सबसे भारी है।\nइस प्रकार A तीसरा सबसे भारी है, तथा C — जो चौथा सबसे भारी दिया गया है — ठीक A के नीचे आता है।\nशेष बक्से B और D किसी क्रम में पाँचवें और छठे स्थान पर आते हैं।\n $\"figure\"/$ \nA से हल्के बक्से C, B और D हैं, अर्थात् कुल 3 बक्से, इसलिए सही विकल्प (c) है।","pos":2,"neg":0.5},{"id":2843,"n":43,"subject":"General Intelligence","stem":"8 women P, Q, R, S, T, U, V and W are sitting around a circular table facing opposite to the centre (not necessarily in the same order). Q is second to the left of W. P is third to the left of Q. S is to the immediate right of

W . U

is fourth to the left of

S . R

is the immediate neighbour of W and Q , V is second to the right of W. Who are the immediate neighbours of U ?","stemHi":"8 महिलाएँ P, Q, R, S, T, U, V और W एक वृत्ताकार मेज़ के चारों ओर केंद्र के विपरीत दिशा में मुख करके बैठी हैं (आवश्यक नहीं कि इसी क्रम में)। Q, W के दूसरे बाएँ बैठी है। P, Q के तीसरे बाएँ बैठी है। S,

W . U

के ठीक दाएँ है

S . R

के चौथे बाएँ है, W और Q की निकटतम पड़ोसी है, V, W के दूसरे दाएँ है। U की निकटतम पड़ोसी कौन हैं?","context":null,"contextHi":null,"options":[{"key":"a","text":"R and T","textHi":"R और T","imageUrl":null},{"key":"b","text":"Q and T","textHi":"Q और T","imageUrl":null},{"key":"c","text":"V and R","textHi":"V और R","imageUrl":null},{"key":"d","text":"W and R","textHi":"W और R","imageUrl":null}],"correct":"b","sol":"Circular seating\nAll eight women face away from the centre, so for each of them 'left' is the anticlockwise direction and 'right' is the clockwise direction.\nFix W at the top. Q is second to the left of W → two seats anticlockwise from W; P is third to the left of Q → three more seats anticlockwise.\nS is to the immediate right of W → the seat clockwise next to W, and U is fourth to the left of S → four seats anticlockwise from S.\nR has to be a neighbour of both W and Q, which fixes R on the single seat lying between them, and V is second to the right of W.\nThe only vacant seat is then taken by T.\n $\"figure\"/$ \nIn the completed circle U has T on one side and Q on the other, so option (b) is the correct answer.","solHi":"वृत्ताकार बैठक व्यवस्था\nआठों महिलाएँ केंद्र से बाहर की ओर मुख किए हुए हैं, अतः उनके लिए 'बाएँ' का अर्थ वामावर्त दिशा और 'दाएँ' का अर्थ दक्षिणावर्त दिशा है।\nW को ऊपर स्थिर कीजिए। Q, W के दूसरे बाएँ है → W से दो स्थान वामावर्त; P, Q के तीसरे बाएँ है → तीन स्थान और वामावर्त।\nS, W के ठीक दाएँ है → W से दक्षिणावर्त अगला स्थान, तथा U, S के चौथे बाएँ है → S से चार स्थान वामावर्त।\nR को W और Q दोनों की पड़ोसी होना है, जिससे R का स्थान उन दोनों के बीच वाली एकमात्र सीट पर निश्चित हो जाता है, और V, W के दूसरे दाएँ है।\nइसके बाद बची हुई एकमात्र सीट पर T बैठती है।\n $\"figure\"/$ \nपूर्ण वृत्त में U की एक ओर T और दूसरी ओर Q है, इसलिए सही विकल्प (b) है।","pos":2,"neg":0.5},{"id":2844,"n":44,"subject":"General Intelligence","stem":"After interchanging the given two numbers (not digits), what will be the value of the given equation ?\n8 and 4\n

5 \times 8 + 4 - 12 \div 2 =

?","stemHi":"दी गई दो संख्याओं (अंकों को नहीं) को आपस में बदलने के बाद, दिए गए समीकरण का मान क्या होगा?\n8 और 4\n

5 \times 8 + 4 - 12 \div 2 =

?","context":null,"contextHi":null,"options":[{"key":"a","text":"25","textHi":null,"imageUrl":null},{"key":"b","text":"22","textHi":null,"imageUrl":null},{"key":"c","text":"34","textHi":null,"imageUrl":null},{"key":"d","text":"40","textHi":null,"imageUrl":null}],"correct":"b","sol":"Interchange of numbers\nThe given equation is

5 \times 8 + 4 - 12 \div 2

; interchange the numbers 8 and 4 wherever they occur.\n $\"figure\"/$ \nThe new equation is

5 \times 4 + 8 - 12 \div 2

.\nBy BODMAS, do division and multiplication first: =20+8-6\n=28-6=22\nHence option (b) is the correct answer.","solHi":"संख्याओं का प्रतिस्थापन\nदिया गया समीकरण

5 \times 8 + 4 - 12 \div 2

है; जहाँ भी संख्याएँ 8 और 4 आती हैं, उन्हें आपस में बदल दीजिए।\n $\"figure\"/$ \nनया समीकरण

5 \times 4 + 8 - 12 \div 2

बनता है।\nBODMAS के अनुसार पहले भाग और गुणा कीजिए: =20+8-6\n=28-6=22\nइसलिए सही विकल्प (b) है।","pos":2,"neg":0.5},{"id":2845,"n":45,"subject":"General Intelligence","stem":"Select the correct combination of mathematical signs to replace (*) signs sequentially and to balance the given equation.\n

84 * 12 * 15 * 5 * 2 = 12

","stemHi":"(*) चिह्नों को क्रमिक रूप से प्रतिस्थापित करने तथा दिए गए समीकरण को संतुलित करने के लिए गणितीय चिह्नों का सही संयोजन चुनिए।\n

84 * 12 * 15 * 5 * 2 = 12

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

\times, -, +, \div

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

\div, +, -, \times

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

+ + \times, -

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

\div, -, \times, +

","textHi":null,"imageUrl":null}],"correct":"b","sol":"$39","solHi":"$3a","pos":2,"neg":0.5},{"id":2846,"n":46,"subject":"General Intelligence","stem":"In the following question, four letter-number pairs are given. The letter-number on the left side of ( - ) is related to the letter-number on the right side of (-) with some Logic/Rule/Relation. Three pairs are similar on the basis of the same Logic/Rule/Relation. Select the odd one out from the given alternatives.\n(NOTE: Operations should be performed on the whole numbers, without breaking down the number into its constituent digits. E.g. 13 - Operations on 13 such as adding /subtracting /multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed)","stemHi":"निम्नलिखित प्रश्न में, चार अक्षर-संख्या युग्म दिए गए हैं। ( - ) के बाईं ओर की अक्षर-संख्या, (-) के दाईं ओर की अक्षर-संख्या से किसी तर्क/नियम/संबंध द्वारा संबंधित है। तीन युग्म एक ही तर्क/नियम/संबंध के आधार पर समान हैं। दिए गए विकल्पों में से असंगत युग्म चुनिए।\n(नोट: संक्रियाएँ पूर्ण संख्याओं पर की जानी चाहिए, संख्या को उसके अंकों में विभाजित किए बिना। जैसे 13 - 13 पर जोड़ने/घटाने/गुणा करने आदि जैसी संक्रियाएँ की जा सकती हैं। 13 को 1 और 3 में विभाजित करके 1 और 3 पर गणितीय संक्रियाएँ करना मान्य नहीं है।)","context":null,"contextHi":null,"options":[{"key":"a","text":"GL120-1060","textHi":null,"imageUrl":null},{"key":"b","text":"PS440 - RV220","textHi":null,"imageUrl":null},{"key":"c","text":"EK248 - GN124","textHi":null,"imageUrl":null},{"key":"d","text":"JW360 - LZ190","textHi":null,"imageUrl":null}],"correct":"d","sol":"$3b","solHi":"$3c","pos":2,"neg":0.5},{"id":2847,"n":47,"subject":"General Intelligence","stem":"In a certain coded language 'SMILE' is coded as 'BHFIP' and 'TOWER' is coded as 'OATKQ'. How will 'PLANT' be coded in the same code language ?","stemHi":"एक निश्चित कूट भाषा में 'SMILE' को 'BHFIP' के रूप में कूटबद्ध किया जाता है तथा 'TOWER' को 'OATKQ' के रूप में कूटबद्ध किया जाता है। उसी कूट भाषा में 'PLANT' को किस प्रकार कूटबद्ध किया जाएगा?","context":null,"contextHi":null,"options":[{"key":"a","text":"QJYIN","textHi":null,"imageUrl":null},{"key":"b","text":"QJXHM","textHi":null,"imageUrl":null},{"key":"c","text":"PJXIM","textHi":null,"imageUrl":null},{"key":"d","text":"RKXGN","textHi":null,"imageUrl":null}],"correct":"b","sol":"Letter coding\nThe word is first written backwards; then the letters are moved back alternately by 3 and 4 places.\nSMILE reversed is ELIMS: E-3=B, L-4=H, I-3=F, M-4=I, S-3=P, giving BHFIP.\nTOWER reversed is REWOT: R-3=O, E-4=A, W-3=T, O-4=K, T-3=Q, giving OATKQ, which confirms the rule.\nPLANT reversed is TNALP: T-3=Q, N-4=J, A-3=X (counting back past A into Z, Y, X), L-4=H, P-3=M.\n $\"figure\"/$ \nSo PLANT is coded as QJXHM, and option (b) is the correct answer.","solHi":"अक्षर कूट\nशब्द को पहले उल्टा लिखा जाता है; फिर अक्षरों को क्रमशः 3 और 4 स्थान पीछे खिसकाया जाता है।\nSMILE को उल्टा लिखने पर ELIMS: E-3=B, L-4=H, I-3=F, M-4=I, S-3=P, जिससे BHFIP प्राप्त होता है।\nTOWER को उल्टा लिखने पर REWOT: R-3=O, E-4=A, W-3=T, O-4=K, T-3=Q, जिससे OATKQ प्राप्त होता है और नियम की पुष्टि होती है।\nPLANT को उल्टा लिखने पर TNALP: T-3=Q, N-4=J, A-3=X (A से पीछे गिनते हुए Z, Y, X), L-4=H, P-3=M।\n $\"figure\"/$ \nअतः PLANT का कूट QJXHM है, इसलिए सही विकल्प (b) है।","pos":2,"neg":0.5},{"id":2848,"n":48,"subject":"General Intelligence","stem":"In a certain coded language 'SPACE' is coded as 'JMBZX' and 'GHOST' is coded as 'VUNJI'. How will 'BRAIN' be coded in the same code language ?","stemHi":"एक निश्चित कूट भाषा में 'SPACE' को 'JMBZX' के रूप में कूटबद्ध किया जाता है तथा 'GHOST' को 'VUNJI' के रूप में कूटबद्ध किया जाता है। उसी कूट भाषा में 'BRAIN' को किस प्रकार कूटबद्ध किया जाएगा?","context":null,"contextHi":null,"options":[{"key":"a","text":"AKBTO","textHi":null,"imageUrl":null},{"key":"b","text":"OKBTA","textHi":null,"imageUrl":null},{"key":"c","text":"AOBTK","textHi":null,"imageUrl":null},{"key":"d","text":"AKTBO","textHi":null,"imageUrl":null}],"correct":"a","sol":"Letter coding\nEvery letter is first replaced by its opposite letter (A↔Z, B↔Y, C↔X, …) and that opposite letter is then moved +2.\nSPACE → opposite letters H, K, Z, X, V → adding 2 gives J, M, B, Z, X, i.e. JMBZX.\nGHOST → opposite letters T, S, L, H, G → adding 2 gives V, U, N, J, I, i.e. VUNJI, so the rule is confirmed.\nBRAIN → opposite letters Y, I, Z, R, M → adding 2 gives A, K, B, T, O.\n $\"figure\"/$ \nSo BRAIN is coded as AKBTO, and option (a) is the correct answer.","solHi":"अक्षर कूट\nप्रत्येक अक्षर को पहले उसके विपरीत अक्षर (A↔Z, B↔Y, C↔X, …) से बदला जाता है और फिर उस विपरीत अक्षर को +2 आगे खिसकाया जाता है।\nSPACE → विपरीत अक्षर H, K, Z, X, V → 2 जोड़ने पर J, M, B, Z, X अर्थात् JMBZX।\nGHOST → विपरीत अक्षर T, S, L, H, G → 2 जोड़ने पर V, U, N, J, I अर्थात् VUNJI, अतः नियम की पुष्टि हो जाती है।\nBRAIN → विपरीत अक्षर Y, I, Z, R, M → 2 जोड़ने पर A, K, B, T, O।\n $\"figure\"/$ \nअतः BRAIN का कूट AKBTO है, इसलिए सही विकल्प (a) है।","pos":2,"neg":0.5},{"id":2849,"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.\nHS600, GQ550, FO500, EM450, ?","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।\nHS600, GQ550, FO500, EM450, ?","context":null,"contextHi":null,"options":[{"key":"a","text":"DK400","textHi":null,"imageUrl":null},{"key":"b","text":"DL350","textHi":null,"imageUrl":null},{"key":"c","text":"CK400","textHi":null,"imageUrl":null},{"key":"d","text":"DJ400","textHi":null,"imageUrl":null}],"correct":"a","sol":"Mixed series\nTreat the three parts of each term separately.\nFirst letter:

H \to G \to F \to E

, a fall of 1 each time, so the next is D.\nSecond letter:

S \to Q \to O \to M

, a fall of 2 each time, so the next is K.\nNumber:

600 \to 550 \to 500 \to 450

, a fall of 50 each time, so the next is 400.\n $\"figure\"/$ \nThe missing term is DK400, so option (a) is the correct answer.","solHi":"मिश्रित शृंखला\nप्रत्येक पद के तीनों भागों पर अलग-अलग विचार कीजिए।\nपहला अक्षर:

H \to G \to F \to E

, प्रत्येक बार 1 की कमी, अतः अगला अक्षर D है।\nदूसरा अक्षर:

S \to Q \to O \to M

, प्रत्येक बार 2 की कमी, अतः अगला अक्षर K है।\nसंख्या:

600 \to 550 \to 500 \to 450

, प्रत्येक बार 50 की कमी, अतः अगली संख्या 400 है।\n $\"figure\"/$ \nलुप्त पद DK400 है, इसलिए सही विकल्प (a) है।","pos":2,"neg":0.5},{"id":2850,"n":50,"subject":"General Intelligence","stem":"A series is given with one term wrong. Select that wrong term from the given alternatives.\nBD10, HI50, NO250, TS1250, ZX6250","stemHi":"एक शृंखला दी गई है जिसमें एक पद गलत है। दिए गए विकल्पों में से उस गलत पद को चुनिए।\nBD10, HI50, NO250, TS1250, ZX6250","context":null,"contextHi":null,"options":[{"key":"a","text":"HI50","textHi":null,"imageUrl":null},{"key":"b","text":"NO250","textHi":null,"imageUrl":null},{"key":"c","text":"TS1250","textHi":null,"imageUrl":null},{"key":"d","text":"ZX6250","textHi":null,"imageUrl":null}],"correct":"b","sol":"Wrong term in series\nFirst letters: B, H, N, T, Z — each one is 6 places ahead of the previous, so all of them are correct.\nNumbers: 10, 50, 250, 1250, 6250 — each one is 5 times the previous, so all of them are correct.\nSecond letters: D, I, ?, S, X — from D to I is +5 and from S to X is +5, so the step must be +5 throughout.\nThe third second-letter should therefore be I+5=N, but O is printed.\n $\"figure\"/$ \nSo the wrong term is NO250 (it should be NN250), and option (b) is the correct answer.","solHi":"शृंखला में गलत पद\nपहले अक्षर: B, H, N, T, Z — प्रत्येक अपने पिछले अक्षर से 6 स्थान आगे है, अतः ये सभी सही हैं।\nसंख्याएँ: 10, 50, 250, 1250, 6250 — प्रत्येक अपनी पिछली संख्या की 5 गुनी है, अतः ये सभी सही हैं।\nदूसरे अक्षर: D, I, ?, S, X — D से I तक +5 है और S से X तक भी +5 है, अतः पूरी शृंखला में अंतराल +5 ही होना चाहिए।\nइसलिए तीसरा दूसरा-अक्षर I+5=N होना चाहिए, परंतु O छपा है।\n $\"figure\"/$ \nअतः गलत पद NO250 है (यह NN250 होना चाहिए), इसलिए सही विकल्प (b) है।","pos":2,"neg":0.5},{"id":2851,"n":51,"subject":"Quantitative Aptitude","stem":"In analyzing underground pressure, the expression is simplified from

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

- (2 ab)^{2}

. What's the final expression?","stemHi":"भूमिगत दाब के विश्लेषण में, व्यंजक

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

- (2 ab)^{2}

को सरल किया जाता है। अंतिम व्यंजक क्या होगा?","context":null,"contextHi":null,"options":[{"key":"a","text":"

a^{4} - 2 a^{2} b^{2} + b^{4}

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

a^{4} + 2 a^{2} b^{2} + b^{4}

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

a^{4} - 6 a^{2} b^{2} + b^{4}

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

a^{4} - b^{4}

","textHi":null,"imageUrl":null}],"correct":"a","sol":"$3d","solHi":"$3e","pos":2,"neg":0.5},{"id":2852,"n":52,"subject":"Quantitative Aptitude","stem":"Compare the values:

\sqrt{15}, 3 \sqrt{5}

, and

\sqrt{30}

. Which is the greatest ?","stemHi":"मानों की तुलना कीजिए:

\sqrt{15}, 3 \sqrt{5}

, तथा

\sqrt{30}

। इनमें से सबसे बड़ा कौन-सा है?","context":null,"contextHi":null,"options":[{"key":"a","text":"

\sqrt{15}

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

3 \sqrt{5}

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

\sqrt{30}

","textHi":null,"imageUrl":null},{"key":"d","text":"All are equal","textHi":"सभी बराबर हैं","imageUrl":null}],"correct":"b","sol":"$3f","solHi":"$40","pos":2,"neg":0.5},{"id":2853,"n":53,"subject":"Quantitative Aptitude","stem":"The ratio of incomes of A and B is

5 : 4

and the ratio of their expenditures is 3 : 2. If both save ₹3000 per month, what is A's income?","stemHi":"A और B की आय का अनुपात

5 : 4

है तथा उनके व्यय का अनुपात 3 : 2 है। यदि दोनों प्रति माह ₹3000 की बचत करते हैं, तो A की आय कितनी है?","context":null,"contextHi":null,"options":[{"key":"a","text":"₹7500","textHi":null,"imageUrl":null},{"key":"b","text":"₹6500","textHi":null,"imageUrl":null},{"key":"c","text":"₹5200","textHi":null,"imageUrl":null},{"key":"d","text":"₹6000","textHi":null,"imageUrl":null}],"correct":"a","sol":"$41","solHi":"$42","pos":2,"neg":0.5},{"id":2854,"n":54,"subject":"Quantitative Aptitude","stem":"What percent of Rs. 500 is Rs. 75 ?","stemHi":"Rs. 500 का कितना प्रतिशत Rs. 75 है?","context":null,"contextHi":null,"options":[{"key":"a","text":"10%","textHi":null,"imageUrl":null},{"key":"b","text":"15%","textHi":null,"imageUrl":null},{"key":"c","text":"20%","textHi":null,"imageUrl":null},{"key":"d","text":"25%","textHi":null,"imageUrl":null}],"correct":"b","sol":"Percentage\nRequired percentage

= \frac{Part}{Whole} \times 100 = \frac{75}{500} \times 100

= \frac{75}{5} = 15

\nSo Rs. 75 is

15 %

of Rs. 500, and option (b) is the correct answer.","solHi":"प्रतिशत\nअभीष्ट प्रतिशत

= \frac{अंश}{पूर्ण} \times 100 = \frac{75}{500} \times 100

= \frac{75}{5} = 15

\nअतः Rs. 75, Rs. 500 का

15 %

है, इसलिए सही विकल्प (b) है।","pos":2,"neg":0.5},{"id":2855,"n":55,"subject":"Quantitative Aptitude","stem":"A dishonest shopkeeper professes to sell grains at the cost price, but he uses a weight of 920 gm for 1 kg weight. Find his gain percentage (round up to two decimal places).","stemHi":"एक बेईमान दुकानदार अनाज को क्रय मूल्य पर बेचने का दावा करता है, परंतु वह 1 kg के बाट के स्थान पर 920 gm के बाट का प्रयोग करता है। उसका लाभ प्रतिशत ज्ञात कीजिए (दो दशमलव स्थानों तक)।","context":null,"contextHi":null,"options":[{"key":"a","text":"

7.90 %

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

8.70 %

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

8.50 %

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

7.80 %

","textHi":null,"imageUrl":null}],"correct":"b","sol":"$43","solHi":"$44","pos":2,"neg":0.5},{"id":2856,"n":56,"subject":"Quantitative Aptitude","stem":"A cyclist covers a certain distance in 4 hours. If his speed had been 5 km/h more, he would have taken 1 hour less. Find his original speed.","stemHi":"एक साइकिल चालक एक निश्चित दूरी 4 घंटे में तय करता है। यदि उसकी चाल 5 km/h अधिक होती, तो उसे 1 घंटा कम लगता। उसकी मूल चाल ज्ञात कीजिए।","context":null,"contextHi":null,"options":[{"key":"a","text":"10 km/h","textHi":null,"imageUrl":null},{"key":"b","text":"

12 km / h

","textHi":null,"imageUrl":null},{"key":"c","text":"15 km/h","textHi":null,"imageUrl":null},{"key":"d","text":"

20 km / h

","textHi":null,"imageUrl":null}],"correct":"c","sol":"Speed, time and distance\nLet the original speed be s km/h. The distance is the same in both cases.\n $\"figure\"/$ \nDistance = Speed

\times

Time, so

4 s = (s + 5) \times 3

\n4s=3s+15\ns=15\nHis original speed is 15 km/h, so option (c) is the correct answer.","solHi":"चाल, समय और दूरी\nमाना कि मूल चाल s km/h है। दोनों स्थितियों में दूरी समान है।\n $\"figure\"/$ \nदूरी = चाल

\times

समय, अतः

4 s = (s + 5) \times 3

\n4s=3s+15\ns=15\nउसकी मूल चाल 15 km/h है, इसलिए सही विकल्प (c) है।","pos":2,"neg":0.5},{"id":2857,"n":57,"subject":"Quantitative Aptitude","stem":"Two trains start from stations

A

and B towards each other and meet after 5 hours. A train from

A

travels

20 %

faster than a train from

B

. If the distance between A and B is 660 km , find the speed of the slower train.","stemHi":"दो रेलगाड़ियाँ स्टेशन

A

तथा B से एक-दूसरे की ओर चलना प्रारंभ करती हैं और 5 घंटे बाद मिलती हैं।

A

से चलने वाली रेलगाड़ी,

B

से चलने वाली रेलगाड़ी की अपेक्षा

20 %

तेज़ चलती है। यदि A और B के बीच की दूरी 660 km है, तो धीमी रेलगाड़ी की चाल ज्ञात कीजिए।","context":null,"contextHi":null,"options":[{"key":"a","text":"55 km/h","textHi":null,"imageUrl":null},{"key":"b","text":"60 km/h","textHi":null,"imageUrl":null},{"key":"c","text":"65 km/h","textHi":null,"imageUrl":null},{"key":"d","text":"70 km/h","textHi":null,"imageUrl":null}],"correct":"b","sol":"$45","solHi":"$46","pos":2,"neg":0.5},{"id":2858,"n":58,"subject":"Quantitative Aptitude","stem":"A sum of Rs. 7290 amounts to Rs. 8410 in 2 years at compound interest. Find the rate per annum.","stemHi":"Rs. 7290 की राशि चक्रवृद्धि ब्याज पर 2 वर्षों में Rs. 8410 हो जाती है। वार्षिक ब्याज दर ज्ञात कीजिए।","context":null,"contextHi":null,"options":[{"key":"a","text":"8.41%","textHi":null,"imageUrl":null},{"key":"b","text":"7.40 %","textHi":null,"imageUrl":null},{"key":"c","text":"9.35%","textHi":null,"imageUrl":null},{"key":"d","text":"7.35%","textHi":null,"imageUrl":null}],"correct":"b","sol":"$47","solHi":"$48","pos":2,"neg":0.5},{"id":2859,"n":59,"subject":"Quantitative Aptitude","stem":"A can complete a work in 20 days, while B can complete the same work in 25 days. Both worked together for 10 days and then C alone completed the remaining work in 10 days. In how many days will A, B and C together complete the same work","stemHi":"A एक कार्य को 20 दिनों में पूरा कर सकता है, जबकि B उसी कार्य को 25 दिनों में पूरा कर सकता है। दोनों ने मिलकर 10 दिनों तक कार्य किया और फिर C ने अकेले शेष कार्य 10 दिनों में पूरा किया। A, B और C मिलकर उसी कार्य को कितने दिनों में पूरा करेंगे?","context":null,"contextHi":null,"options":[{"key":"a","text":"10 days","textHi":"10 दिन","imageUrl":null},{"key":"b","text":"5 days","textHi":"5 दिन","imageUrl":null},{"key":"c","text":"8 days","textHi":"8 दिन","imageUrl":null},{"key":"d","text":"12 days","textHi":"12 दिन","imageUrl":null}],"correct":"a","sol":"$49","solHi":"$4a","pos":2,"neg":0.5},{"id":2860,"n":60,"subject":"Quantitative Aptitude","stem":"What sum will amount to ₹9000 in 2 years at 10% simple interest per annum?","stemHi":"10% वार्षिक साधारण ब्याज की दर से 2 वर्षों में कौन-सी राशि ₹9000 हो जाएगी?","context":null,"contextHi":null,"options":[{"key":"a","text":"₹7200","textHi":null,"imageUrl":null},{"key":"b","text":"₹7333.33","textHi":null,"imageUrl":null},{"key":"c","text":"₹7500","textHi":null,"imageUrl":null},{"key":"d","text":"₹7600","textHi":null,"imageUrl":null}],"correct":"c","sol":"Simple interest\nAt 10% per annum simple interest for 2 years, the interest is

2 \times 10 % = 20 %

of the sum.\nSo Amount

= 100 % + 20 % = 120 %

of the sum, and this equals ₹9000.\nSum

= \frac{9000}{120} \times 100 = 75 \times 100 = 7500

\nThe required sum is ₹7500, so option (c) is the correct answer.","solHi":"साधारण ब्याज\n10% वार्षिक साधारण ब्याज की दर से 2 वर्षों में ब्याज, मूलधन का

2 \times 10 % = 20 %

होता है।\nअतः मिश्रधन

= 100 % + 20 % =

मूलधन का

120 %

, और यह ₹9000 के बराबर है।\nमूलधन

= \frac{9000}{120} \times 100 = 75 \times 100 = 7500

\nअभीष्ट राशि ₹7500 है, इसलिए सही विकल्प (c) है।","pos":2,"neg":0.5},{"id":2861,"n":61,"subject":"Quantitative Aptitude","stem":"A skylight is trapezium-shaped with area

98 {cm}^{2}

and bases 12 cm, 16 cm . What is its height ?","stemHi":"एक रोशनदान समलंब चतुर्भुज के आकार का है जिसका क्षेत्रफल

98 {cm}^{2}

है तथा जिसकी समांतर भुजाएँ 12 cm और 16 cm हैं। इसकी ऊँचाई क्या है?","context":null,"contextHi":null,"options":[{"key":"a","text":"5","textHi":null,"imageUrl":null},{"key":"b","text":"7","textHi":null,"imageUrl":null},{"key":"c","text":"6","textHi":null,"imageUrl":null},{"key":"d","text":"8","textHi":null,"imageUrl":null}],"correct":"b","sol":"$4b","solHi":"$4c","pos":2,"neg":0.5},{"id":2862,"n":62,"subject":"Quantitative Aptitude","stem":"A wooden box is in the shape of a cuboid with dimensions

4 m \times 2.5 m \times

1.5 m . Find the cost of painting its outer surface at the rate of Rs. 12 per square meter.","stemHi":"एक लकड़ी का बक्सा घनाभ के आकार का है जिसकी विमाएँ

4 m \times 2.5 m \times

1.5 m हैं। Rs. 12 प्रति वर्ग मीटर की दर से इसके बाहरी पृष्ठ को रँगवाने की लागत ज्ञात कीजिए।","context":null,"contextHi":null,"options":[{"key":"a","text":"Rs. 360","textHi":null,"imageUrl":null},{"key":"b","text":"Rs. 450","textHi":null,"imageUrl":null},{"key":"c","text":"Rs. 474","textHi":null,"imageUrl":null},{"key":"d","text":"Rs. 480","textHi":null,"imageUrl":null}],"correct":"c","sol":"$4d","solHi":"$4e","pos":2,"neg":0.5},{"id":2863,"n":63,"subject":"Quantitative Aptitude","stem":"A decorative model is in the shape of a right pyramid whose base is an equilateral triangle of side 10 cm and the height of the pyramid is 9 cm . Find the volume of the model.","stemHi":"एक सजावटी मॉडल एक लंब पिरामिड के आकार का है जिसका आधार 10 cm भुजा वाला समबाहु त्रिभुज है तथा पिरामिड की ऊँचाई 9 cm है। मॉडल का आयतन ज्ञात कीजिए।","context":null,"contextHi":null,"options":[{"key":"a","text":"

129.9 {cm}^{3}

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

150 {cm}^{3}

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

173.2 {cm}^{3}

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

180 {cm}^{3}

","textHi":null,"imageUrl":null}],"correct":"a","sol":"$4f","solHi":"$50","pos":2,"neg":0.5},{"id":2864,"n":64,"subject":"Quantitative Aptitude","stem":"In the right triangle PQR, right angled at '

Q

P Q = 10 cm . Q M

is perpendicular to PR such that

PR = 2 QM

. If

∠ QPR = ∠ QRP

, then find the numerical value of

({PR}^{2} - {QM}^{2})

.","stemHi":"समकोण त्रिभुज PQR में, '

Q

' पर समकोण है,

P Q = 10 cm . Q M

, PR पर लंब इस प्रकार है कि

PR = 2 QM

। यदि

∠ QPR = ∠ QRP

, तो

({PR}^{2} - {QM}^{2})

का संख्यात्मक मान ज्ञात कीजिए।","context":null,"contextHi":null,"options":[{"key":"a","text":"150","textHi":null,"imageUrl":null},{"key":"b","text":"124","textHi":null,"imageUrl":null},{"key":"c","text":"156","textHi":null,"imageUrl":null},{"key":"d","text":"100","textHi":null,"imageUrl":null}],"correct":"a","sol":"$51","solHi":"$52","pos":2,"neg":0.5},{"id":2865,"n":65,"subject":"Quantitative Aptitude","stem":"The point of intersection of the medians of a triangle is called:","stemHi":"त्रिभुज की माध्यिकाओं का प्रतिच्छेद बिंदु कहलाता है:","context":null,"contextHi":null,"options":[{"key":"a","text":"Circumcenter","textHi":"परिकेन्द्र","imageUrl":null},{"key":"b","text":"Centroid","textHi":"केन्द्रक","imageUrl":null},{"key":"c","text":"Incenter","textHi":"अंतःकेन्द्र","imageUrl":null},{"key":"d","text":"Orthocenter","textHi":"लंबकेन्द्र","imageUrl":null}],"correct":"b","sol":"Centroid of a triangle\nA median joins a vertex to the mid-point of the opposite side, so every triangle has three medians.\n $\"figure\"/$ \nThe three medians are always concurrent, and their common point is called the centroid (usually written G).\nThe centroid divides each median in the ratio 2:1 measured from the vertex, and it is the centre of gravity of a triangular lamina.\nThe other options come from different sets of lines: perpendicular bisectors meet at the circumcentre, angle bisectors at the incentre and altitudes at the orthocentre.\nSo option (b) is the correct answer.","solHi":"त्रिभुज का केन्द्रक\nमाध्यिका किसी शीर्ष को सम्मुख भुजा के मध्य-बिंदु से जोड़ती है, अतः प्रत्येक त्रिभुज में तीन माध्यिकाएँ होती हैं।\n $\"figure\"/$ \nतीनों माध्यिकाएँ सदैव संगामी होती हैं और उनका उभयनिष्ठ बिंदु केन्द्रक (सामान्यतः G) कहलाता है।\nकेन्द्रक प्रत्येक माध्यिका को शीर्ष की ओर से 2:1 के अनुपात में विभाजित करता है तथा यह त्रिभुजाकार पटल का गुरुत्व-केंद्र होता है।\nअन्य विकल्प भिन्न रेखाओं से बनते हैं: लंब-समद्विभाजक परिकेन्द्र पर, कोण-समद्विभाजक अंतःकेन्द्र पर तथा शीर्षलंब लंबकेन्द्र पर मिलते हैं।\nइसलिए सही विकल्प (b) है।","pos":2,"neg":0.5},{"id":2866,"n":66,"subject":"Quantitative Aptitude","stem":"The volume of a right circular cone is

50 %

of the volume of a right circular cylinder. The height of the cylinder is double the height of the cone. If the radius of the cone is 12 cm , find the radius of the cylinder.","stemHi":"एक लंब वृत्तीय शंकु का आयतन एक लंब वृत्तीय बेलन के आयतन का

50 %

है। बेलन की ऊँचाई शंकु की ऊँचाई की दोगुनी है। यदि शंकु की त्रिज्या 12 cm है, तो बेलन की त्रिज्या ज्ञात कीजिए।","context":null,"contextHi":null,"options":[{"key":"a","text":"

6 \sqrt{2} cm

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

4 \sqrt{3} cm

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

3 \sqrt{8} cm

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

8 \sqrt{3} cm

","textHi":null,"imageUrl":null}],"correct":"b","sol":"$53","solHi":"$54","pos":2,"neg":0.5},{"id":2867,"n":67,"subject":"Quantitative Aptitude","stem":"The radii of two circles are

r_{1}

and

r_{2}

, and the distance between their centers is d , where

(r_{1} - r_{2}) < d < (r_{1} + r_{2})

. If d represents the distance between the centers, how many common tangents are there between the two circles ?","stemHi":"दो वृत्तों की त्रिज्याएँ

r_{1}

और

r_{2}

हैं, तथा उनके केंद्रों के बीच की दूरी d है, जहाँ

(r_{1} - r_{2}) < d < (r_{1} + r_{2})

। यदि d केंद्रों के बीच की दूरी को निरूपित करती है, तो दोनों वृत्तों की कितनी उभयनिष्ठ स्पर्श रेखाएँ होंगी?","context":null,"contextHi":null,"options":[{"key":"a","text":"1","textHi":null,"imageUrl":null},{"key":"b","text":"2","textHi":null,"imageUrl":null},{"key":"c","text":"3","textHi":null,"imageUrl":null},{"key":"d","text":"4","textHi":null,"imageUrl":null}],"correct":"b","sol":"$55","solHi":"$56","pos":2,"neg":0.5},{"id":2868,"n":68,"subject":"Quantitative Aptitude","stem":"Simplify the expression :

\frac{\cot x}{cosec x}

","stemHi":"व्यंजक को सरल कीजिए :

\frac{\cot x}{cosec x}

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

\cos x

","textHi":null,"imageUrl":null},{"key":"b","text":"cosecx","textHi":null,"imageUrl":null},{"key":"c","text":"1","textHi":null,"imageUrl":null},{"key":"d","text":"

\sin x

","textHi":null,"imageUrl":null}],"correct":"a","sol":"$57","solHi":"$58","pos":2,"neg":0.5},{"id":2869,"n":69,"subject":"Quantitative Aptitude","stem":"P and Q invest in a business in the ratio

5 : 3

. If 10% of the total profit is donated to charity and P's share of the remaining profit is ₹900, find the total profit.","stemHi":"P और Q एक व्यवसाय में

5 : 3

के अनुपात में निवेश करते हैं। यदि कुल लाभ का 10% दान में दे दिया जाता है और शेष लाभ में P का हिस्सा ₹900 है, तो कुल लाभ ज्ञात कीजिए।","context":null,"contextHi":null,"options":[{"key":"a","text":"Rs. 1425","textHi":null,"imageUrl":null},{"key":"b","text":"Rs. 1200","textHi":null,"imageUrl":null},{"key":"c","text":"Rs. 1537","textHi":null,"imageUrl":null},{"key":"d","text":"Rs. 1600","textHi":null,"imageUrl":null}],"correct":"d","sol":"$59","solHi":"$5a","pos":2,"neg":0.5},{"id":2870,"n":70,"subject":"Quantitative Aptitude","stem":"A shopkeeper offers two successive discounts of 10% and 20% on a Rs. 1,500 article. What is the final price after the two discounts ?","stemHi":"एक दुकानदार Rs. 1,500 की वस्तु पर 10% और 20% की दो क्रमिक छूट देता है। दोनों छूटों के बाद अंतिम मूल्य क्या है?","context":null,"contextHi":null,"options":[{"key":"a","text":"₹1092","textHi":null,"imageUrl":null},{"key":"b","text":"₹1080","textHi":null,"imageUrl":null},{"key":"c","text":"₹1064","textHi":null,"imageUrl":null},{"key":"d","text":"₹1065","textHi":null,"imageUrl":null}],"correct":"b","sol":"$5b","solHi":"$5c","pos":2,"neg":0.5},{"id":2871,"n":71,"subject":"Quantitative Aptitude","stem":"The price of a museum ticket for adults and children is in the ratio 7 : 4 . If an adult ticket costs 280 , what is the price of a child ticket ?","stemHi":"एक संग्रहालय के टिकट का मूल्य वयस्कों और बच्चों के लिए 7 : 4 के अनुपात में है। यदि एक वयस्क टिकट का मूल्य 280 है, तो बच्चे के टिकट का मूल्य क्या है?","context":null,"contextHi":null,"options":[{"key":"a","text":"100","textHi":null,"imageUrl":null},{"key":"b","text":"120","textHi":null,"imageUrl":null},{"key":"c","text":"160","textHi":null,"imageUrl":null},{"key":"d","text":"200","textHi":null,"imageUrl":null}],"correct":"c","sol":"Ratio and proportion\nLet the two prices be 7x and 4x, so that their ratio stays 7:4.\nThe adult ticket is the 7-part:

7 x = 280 \Rightarrow x = \frac{280}{7} = 40

.\n $\"figure\"/$ \nChild ticket

= 4 x = 4 \times 40 = 160

.\nSo option (c) is the correct answer.","solHi":"अनुपात और समानुपात\nमाना कि दोनों मूल्य 7x और 4x हैं, जिससे उनका अनुपात 7:4 बना रहे।\nवयस्क टिकट 7 भाग वाला है:

7 x = 280 \Rightarrow x = \frac{280}{7} = 40

।\n $\"figure\"/$ \nबच्चे का टिकट

= 4 x = 4 \times 40 = 160

।\nइसलिए सही विकल्प (c) है।","pos":2,"neg":0.5},{"id":2872,"n":72,"subject":"Quantitative Aptitude","stem":"A student scored 40, 55, 60, and 45 marks in four tests. What marks must he score in the 5th test so that his average becomes 52 marks?","stemHi":"एक विद्यार्थी ने चार परीक्षाओं में 40, 55, 60 और 45 अंक प्राप्त किए। पाँचवीं परीक्षा में उसे कितने अंक प्राप्त करने चाहिए ताकि उसका औसत 52 अंक हो जाए?","context":null,"contextHi":null,"options":[{"key":"a","text":"50","textHi":null,"imageUrl":null},{"key":"b","text":"55","textHi":null,"imageUrl":null},{"key":"c","text":"60","textHi":null,"imageUrl":null},{"key":"d","text":"65","textHi":null,"imageUrl":null}],"correct":"c","sol":"Average of marks\nFormula: total = average

\times

number of tests.\nFor an average of 52 over 5 tests, the required total is

5 \times 52 = 260

.\nTotal of the first four tests =40+55+60+45=200.\n $\"figure\"/$ \nMarks needed in the 5th test =260-200=60.\nSo option (c) is the correct answer.","solHi":"अंकों का औसत\nसूत्र: कुल योग = औसत

\times

परीक्षाओं की संख्या।\n5 परीक्षाओं का औसत 52 होने के लिए अभीष्ट कुल योग

= 5 \times 52 = 260

होगा।\nपहली चार परीक्षाओं का योग =40+55+60+45=200।\n $\"figure\"/$ \nपाँचवीं परीक्षा में अभीष्ट अंक =260-200=60।\nइसलिए सही विकल्प (c) है।","pos":2,"neg":0.5},{"id":2873,"n":73,"subject":"Quantitative Aptitude","stem":"A common internal tangent is drawn to two circles with radii 3 and 7 unit. If the length of the tangent segment is 24 unit, what is the distance between the centers of the two circles ?","stemHi":"3 और 7 इकाई त्रिज्या वाले दो वृत्तों की एक उभयनिष्ठ आंतरिक स्पर्श रेखा खींची जाती है। यदि स्पर्श रेखा खंड की लंबाई 24 इकाई है, तो दोनों वृत्तों के केंद्रों के बीच की दूरी क्या है?","context":null,"contextHi":null,"options":[{"key":"a","text":"13 unit","textHi":"13 इकाई","imageUrl":null},{"key":"b","text":"15 unit","textHi":"15 इकाई","imageUrl":null},{"key":"c","text":"25 unit","textHi":"25 इकाई","imageUrl":null},{"key":"d","text":"26 unit","textHi":"26 इकाई","imageUrl":null}],"correct":"d","sol":"$5d","solHi":"$5e","pos":2,"neg":0.5},{"id":2874,"n":74,"subject":"Quantitative Aptitude","stem":"If

cosec (x) = \frac{5}{3}

, find

\sec (x)

.","stemHi":"यदि

cosec (x) = \frac{5}{3}

, तो

\sec (x)

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

\frac{4}{5}

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

\frac{5}{4}

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

\frac{3}{5}

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

\frac{8}{7}

","textHi":null,"imageUrl":null}],"correct":"b","sol":"$5f","solHi":"$60","pos":2,"neg":0.5},{"id":2875,"n":75,"subject":"Quantitative Aptitude","stem":"If

\cot θ = \frac{3}{4}

, find

\sec^{2} θ - {cosec}^{2} θ

.","stemHi":"यदि

\cot θ = \frac{3}{4}

, तो

\sec^{2} θ - {cosec}^{2} θ

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

\frac{175}{144}

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

\frac{144}{175}

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

\frac{5}{144}

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

\frac{144}{5}

","textHi":null,"imageUrl":null}],"correct":"a","sol":"$61","solHi":"$62","pos":2,"neg":0.5},{"id":2876,"n":76,"subject":"General Awareness","stem":"Which of the following Delhi Sultans maintained a large standing army in Delhi in response to repeated Mongol invasions, creating major administrative challenges?\nI. Alauddin Khalji\nII. Muhammad bin Tughluq","stemHi":"निम्नलिखित में से किस दिल्ली सुल्तान ने बार-बार होने वाले मंगोल आक्रमणों के प्रत्युत्तर में दिल्ली में एक विशाल स्थायी सेना रखी, जिससे बड़ी प्रशासनिक चुनौतियाँ उत्पन्न हुईं?\nI. अलाउद्दीन खलजी\nII. मुहम्मद बिन तुगलक","context":null,"contextHi":null,"options":[{"key":"a","text":"Only I","textHi":"केवल I","imageUrl":null},{"key":"b","text":"Only I","textHi":"केवल I","imageUrl":null},{"key":"c","text":"Neither I nor II","textHi":"न तो I और न ही II","imageUrl":null},{"key":"d","text":"Both I and II","textHi":"I और II दोनों","imageUrl":null}],"correct":"d","sol":"Delhi Sultanate administration\nBoth the Sultans named kept a huge standing army in Delhi, because the Mongols raided the Sultanate's north-western frontier again and again.\nAlauddin Khalji (1296-1316) paid his soldiers in cash; to make those cash salaries workable he fixed the prices of grain, cloth, horses and slaves in the Delhi markets and enforced them through the shahna-i-mandi.\nHe also introduced the dagh (branding of army horses) and the chehra (a descriptive roll of every soldier) to stop cheating at muster - measures that show how heavy the administrative load of that army was.\nMuhammad bin Tughluq (1325-1351) likewise kept a very large army in Delhi for the defence of the frontier and for his ambitious projects, and financed it through heavy taxation in the Doab and the token currency, both of which ended in disorder.\nSo both statements are correct and option (d) is the correct answer.","solHi":"दिल्ली सल्तनत का प्रशासन\nउल्लिखित दोनों सुल्तानों ने दिल्ली में एक विशाल स्थायी सेना रखी, क्योंकि मंगोल सल्तनत की उत्तर-पश्चिमी सीमा पर बार-बार आक्रमण करते थे।\nअलाउद्दीन खलजी (1296-1316) अपने सैनिकों को नकद वेतन देता था; इस नकद वेतन को व्यावहारिक बनाने के लिए उसने दिल्ली के बाज़ारों में अनाज, कपड़ा, घोड़ों और दासों के मूल्य नियत किए और शहना-ए-मंडी के माध्यम से उन्हें लागू किया।\nउसने मुस्तैदी-जाँच में धोखाधड़ी रोकने के लिए दाग़ (सेना के घोड़ों पर निशान लगाना) तथा चेहरा (प्रत्येक सैनिक का हुलिया-विवरण) की व्यवस्था भी शुरू की - ये उपाय दर्शाते हैं कि उस सेना का प्रशासनिक भार कितना अधिक था।\nइसी प्रकार मुहम्मद बिन तुगलक (1325-1351) ने भी सीमा-रक्षा तथा अपनी महत्वाकांक्षी योजनाओं के लिए दिल्ली में बहुत बड़ी सेना रखी और उसका व्यय दोआब के भारी कर तथा सांकेतिक मुद्रा से चलाया, जिनका अंत अव्यवस्था में हुआ।\nअतः दोनों कथन सही हैं और सही विकल्प (d) है।","pos":2,"neg":0.5},{"id":2877,"n":77,"subject":"General Awareness","stem":"The devotional hymns composed by the Alvar saints are compiled in which sacred Tamil text?","stemHi":"आळवार संतों द्वारा रचित भक्ति-स्तोत्र किस पवित्र तमिल ग्रंथ में संकलित हैं?","context":null,"contextHi":null,"options":[{"key":"a","text":"Silappadikaram","textHi":"शिलप्पदिकारम","imageUrl":null},{"key":"b","text":"Divya Prabandham","textHi":"दिव्य प्रबंधम","imageUrl":null},{"key":"c","text":"Tirukkural","textHi":"तिरुक्कुरल","imageUrl":null},{"key":"d","text":"Manimekalai","textHi":"मणिमेखलै","imageUrl":null}],"correct":"b","sol":"Bhakti movement, Alvars\nThe Alvars were Tamil poet-saints devoted to Vishnu, active roughly between the 6th and the 9th centuries CE.\nTheir hymns were collected by Nathamuni into the Nalayira Divya Prabandham, literally the 'divine collection of 4,000 verses'.\nIt became the scriptural base of Sri Vaishnavism and is still chanted in Vishnu temples, which is why it is often called the 'Tamil Veda'.\nThe parallel Shaiva saints, the Nayanars, have their hymns in the Tevaram - a useful pair to remember together.\nSilappadikaram and Manimekalai are the twin Tamil epics and Tirukkural is Tiruvalluvar's work on ethics, so option (b) is the correct answer.","solHi":"भक्ति आंदोलन, आळवार संत\nआळवार संत विष्णु के भक्त तमिल कवि-संत थे, जो लगभग छठी से नौवीं शताब्दी ईस्वी के बीच सक्रिय रहे।\nउनके स्तोत्रों को नाथमुनि ने नालायिर दिव्य प्रबंधम में संकलित किया, जिसका शाब्दिक अर्थ है '4,000 पदों का दिव्य संग्रह'।\nयह श्रीवैष्णव संप्रदाय का शास्त्रीय आधार बना और आज भी विष्णु मंदिरों में इसका पाठ होता है, इसीलिए इसे प्रायः 'तमिल वेद' कहा जाता है।\nइसके समानांतर शैव संत, नयनार, के स्तोत्र तेवारम में संकलित हैं - दोनों को साथ याद रखना उपयोगी है।\nशिलप्पदिकारम और मणिमेखलै तमिल के जुड़वाँ महाकाव्य हैं तथा तिरुक्कुरल तिरुवल्लुवर की नीति-रचना है, इसलिए सही विकल्प (b) है।","pos":2,"neg":0.5},{"id":2878,"n":78,"subject":"General Awareness","stem":"Which of the following responsibilities is explicitly listed as a Fundamental Duty under the Constitution of India?","stemHi":"भारत के संविधान के अंतर्गत निम्नलिखित में से कौन-सा दायित्व स्पष्ट रूप से मूल कर्तव्य के रूप में उल्लिखित है?","context":null,"contextHi":null,"options":[{"key":"a","text":"Paying taxes within due dates","textHi":"नियत तिथि के भीतर कर का भुगतान करना","imageUrl":null},{"key":"b","text":"Casting vote in Lok Sabha elections","textHi":"लोकसभा चुनावों में मतदान करना","imageUrl":null},{"key":"c","text":"Providing education to children up to 18 years","textHi":"18 वर्ष तक के बच्चों को शिक्षा उपलब्ध कराना","imageUrl":null},{"key":"d","text":"Protecting and improving the natural environment","textHi":"प्राकृतिक पर्यावरण की रक्षा करना और उसका संवर्धन करना","imageUrl":null}],"correct":"d","sol":"Fundamental Duties\nThe Fundamental Duties are listed in Article 51A, which forms Part IV-A of the Constitution.\nArticle 51A(g) makes it the duty of every citizen 'to protect and improve the natural environment including forests, lakes, rivers and wildlife, and to have compassion for living creatures'.\nPaying taxes and casting a vote are legal or civic obligations, but neither is written into Article 51A.\nEducation appears only in Article 51A(k), which asks a parent or guardian to provide opportunities for education to a child between 6 and 14 years - not up to 18 years.\nFundamental Duties were added by the 42nd Amendment Act, 1976 on the recommendation of the Swaran Singh Committee, and the idea was borrowed from the Constitution of the erstwhile USSR.\nSo option (d) is the correct answer.","solHi":"मूल कर्तव्य\nमूल कर्तव्य अनुच्छेद 51क में उल्लिखित हैं, जो संविधान का भाग IV-क है।\nअनुच्छेद 51क(छ) प्रत्येक नागरिक का यह कर्तव्य बताता है कि वह 'वनों, झीलों, नदियों और वन्य जीवों सहित प्राकृतिक पर्यावरण की रक्षा करे तथा उसका संवर्धन करे और प्राणिमात्र के प्रति दयाभाव रखे'।\nकर का भुगतान और मतदान करना विधिक या नागरिक दायित्व हैं, परंतु इनमें से कोई भी अनुच्छेद 51क में नहीं लिखा गया है।\nशिक्षा का उल्लेख केवल अनुच्छेद 51क(ट) में है, जिसमें माता-पिता या संरक्षक से 6 से 14 वर्ष के बालक को शिक्षा के अवसर देने की अपेक्षा की गई है - 18 वर्ष तक नहीं।\nमूल कर्तव्य स्वर्ण सिंह समिति की संस्तुति पर 42वें संविधान संशोधन अधिनियम, 1976 द्वारा जोड़े गए थे और यह विचार तत्कालीन सोवियत संघ के संविधान से लिया गया था।\nइसलिए सही विकल्प (d) है।","pos":2,"neg":0.5},{"id":2879,"n":79,"subject":"General Awareness","stem":"Which Constitutional Amendment Act transformed Sikkim into a full-fledged State of India?","stemHi":"किस संविधान संशोधन अधिनियम द्वारा सिक्किम को भारत का पूर्ण राज्य बनाया गया?","context":null,"contextHi":null,"options":[{"key":"a","text":"38th Constitutional Amendment Act, 1975","textHi":"38वाँ संविधान संशोधन अधिनियम, 1975","imageUrl":null},{"key":"b","text":"35th Constitutional Amendment Act, 1974","textHi":"35वाँ संविधान संशोधन अधिनियम, 1974","imageUrl":null},{"key":"c","text":"42nd Constitutional Amendment Act, 1976","textHi":"42वाँ संविधान संशोधन अधिनियम, 1976","imageUrl":null},{"key":"d","text":"36th Constitutional Amendment Act, 1975","textHi":"36वाँ संविधान संशोधन अधिनियम, 1975","imageUrl":null}],"correct":"d","sol":"Statehood of Sikkim\nThe 36th Constitutional Amendment Act, 1975 made Sikkim a full-fledged State - the 22nd State of the Indian Union.\nIt ended the associate-state arrangement and inserted Article 371F, which still carries the special provisions for Sikkim's administration.\n $\"figure\"/$ \nThe earlier 35th Amendment Act, 1974 had given Sikkim only the status of an 'Associate State', a category created for it and abolished a year later.\nThe 42nd Amendment Act, 1976 is the well-known 'Mini Constitution' amendment and has nothing to do with Sikkim.\nSo option (d) is the correct answer.","solHi":"सिक्किम का राज्य का दर्जा\n36वें संविधान संशोधन अधिनियम, 1975 द्वारा सिक्किम को पूर्ण राज्य - भारतीय संघ का 22वाँ राज्य - बनाया गया।\nइसने सहयुक्त राज्य की व्यवस्था समाप्त की और अनुच्छेद 371F जोड़ा, जिसमें आज भी सिक्किम के प्रशासन संबंधी विशेष उपबंध हैं।\n $\"figure\"/$ \nइससे पूर्व 35वें संशोधन अधिनियम, 1974 ने सिक्किम को केवल 'सहयुक्त राज्य' का दर्जा दिया था, जो श्रेणी उसी के लिए बनी और एक वर्ष बाद समाप्त कर दी गई।\n42वाँ संशोधन अधिनियम, 1976 प्रसिद्ध 'लघु संविधान' संशोधन है और उसका सिक्किम से कोई संबंध नहीं है।\nइसलिए सही विकल्प (d) है।","pos":2,"neg":0.5},{"id":2880,"n":80,"subject":"General Awareness","stem":"As of 31 July 2025, which of the following countries is NOT a member of the South Asian Association for Regional Cooperation (SAARC) ?","stemHi":"31 जुलाई 2025 तक, निम्नलिखित में से कौन-सा देश दक्षिण एशियाई क्षेत्रीय सहयोग संगठन (SAARC) का सदस्य नहीं है?","context":null,"contextHi":null,"options":[{"key":"a","text":"Afghanistan","textHi":"अफ़गानिस्तान","imageUrl":null},{"key":"b","text":"Iran","textHi":"ईरान","imageUrl":null},{"key":"c","text":"Nepal","textHi":"नेपाल","imageUrl":null},{"key":"d","text":"Bangladesh","textHi":"बांग्लादेश","imageUrl":null}],"correct":"b","sol":"SAARC membership\nSAARC was founded on 8 December 1985 at Dhaka, and its Secretariat is at Kathmandu in Nepal.\nIt has eight member states: Afghanistan, Bangladesh, Bhutan, India, Maldives, Nepal, Pakistan and Sri Lanka.\nAfghanistan was the last to join, admitted as the 8th member at the 13th SAARC Summit in Dhaka in 2005.\n $\"figure\"/$ \nIran holds only observer status, along with China, Japan, the USA, the European Union, the Republic of Korea, Australia, Mauritius and Myanmar.\nSo Iran is not a member and option (b) is the correct answer.","solHi":"सार्क की सदस्यता\nSAARC की स्थापना 8 दिसंबर 1985 को ढाका में हुई थी और इसका सचिवालय नेपाल की राजधानी काठमांडू में है।\nइसके आठ सदस्य देश हैं: अफ़गानिस्तान, बांग्लादेश, भूटान, भारत, मालदीव, नेपाल, पाकिस्तान और श्रीलंका।\nअफ़गानिस्तान सबसे बाद में जुड़ा, जिसे 2005 में ढाका में हुए 13वें सार्क शिखर सम्मेलन में 8वें सदस्य के रूप में शामिल किया गया।\n $\"figure\"/$ \nईरान को केवल पर्यवेक्षक का दर्जा प्राप्त है, इसी के साथ चीन, जापान, अमेरिका, यूरोपीय संघ, दक्षिण कोरिया, ऑस्ट्रेलिया, मॉरीशस और म्यांमार भी पर्यवेक्षक हैं।\nअतः ईरान सदस्य नहीं है और सही विकल्प (b) है।","pos":2,"neg":0.5},{"id":2881,"n":81,"subject":"General Awareness","stem":"In which sporting event did Praveen Kumar Sobti win medals at the Asian Games?","stemHi":"प्रवीण कुमार सोबती ने एशियाई खेलों में किस खेल स्पर्धा में पदक जीते थे?","context":null,"contextHi":null,"options":[{"key":"a","text":"Javelin throw","textHi":"भाला फेंक","imageUrl":null},{"key":"b","text":"Shot put","textHi":"गोला फेंक","imageUrl":null},{"key":"c","text":"Discus throw","textHi":"चक्का फेंक","imageUrl":null},{"key":"d","text":"Hammer throw","textHi":"हथौड़ा फेंक","imageUrl":null}],"correct":"c","sol":"Indian athletics legends\nPraveen Kumar Sobti was a discus thrower, and every one of his Asian Games medals came in the discus throw — gold at Bangkok in 1966 and again at Bangkok in 1970, and silver at Tehran in 1974.\nThe hammer throw appears in his record only once, as a Commonwealth Games silver in 1966, so option (d) is the trap that the question is built around.\n $\"figure\"/$ \nHe represented India at the 1968 Mexico City and 1972 Munich Olympics and received the Arjuna Award in 1967.\nA later generation knew him as Bheem in the television serial 'Mahabharat'.\nHence option (c) is correct.","solHi":"भारतीय एथलेटिक्स के दिग्गज\nप्रवीण कुमार सोबती चक्का फेंक (discus throw) के खिलाड़ी थे और एशियाई खेलों में उनके सभी पदक चक्का फेंक में ही आए — 1966 (बैंकॉक) एवं 1970 (बैंकॉक) में स्वर्ण तथा 1974 (तेहरान) में रजत।\nहथौड़ा फेंक उनके रिकॉर्ड में केवल एक बार आता है — 1966 के राष्ट्रमंडल खेलों के रजत पदक के रूप में; इसी भ्रम पर विकल्प (d) टिका है।\n $\"figure\"/$ \nउन्होंने 1968 (मैक्सिको सिटी) तथा 1972 (म्यूनिख) ओलंपिक में भारत का प्रतिनिधित्व किया और 1967 में उन्हें अर्जुन पुरस्कार मिला।\nबाद की पीढ़ी उन्हें धारावाहिक 'महाभारत' के भीम के रूप में जानती है।\nअतः सही विकल्प (c) है।","pos":2,"neg":0.5},{"id":2882,"n":82,"subject":"General Awareness","stem":"The appointment of Sailesh C. Mehta in June 2025 is associated with leadership of which sectoral body?","stemHi":"जून 2025 में Sailesh C. Mehta की नियुक्ति किस क्षेत्रीय निकाय के नेतृत्व से संबंधित है?","context":null,"contextHi":null,"options":[{"key":"a","text":"Banking regulation","textHi":"बैंकिंग विनियमन","imageUrl":null},{"key":"b","text":"Agricultural research","textHi":"कृषि अनुसंधान","imageUrl":null},{"key":"c","text":"Fertilizer industry association","textHi":"उर्वरक उद्योग संघ","imageUrl":null},{"key":"d","text":"Financial policy think tank","textHi":"वित्तीय नीति थिंक टैंक","imageUrl":null}],"correct":"c","sol":"Appointments 2025\nIn June 2025 Sailesh C. Mehta was elected Chairman of the Fertiliser Association of India (FAI) — that is, the apex association of the country's fertiliser industry.\nMehta is Chairman and Managing Director of Deepak Fertilisers and Petrochemicals Corporation Ltd, with about four decades in the fertiliser and petrochemical business.\nHe succeeded N. Suresh Krishnan, MD and CEO of Paradeep Phosphates Ltd.\nFAI, founded in 1955 and based in New Delhi, is an industry body — not a regulator, a research council or a think tank — which rules out the other three options.\nHence option (c) is correct.","solHi":"नियुक्तियाँ 2025\nजून 2025 में Sailesh C. Mehta को Fertiliser Association of India (FAI) अर्थात् देश के उर्वरक उद्योग के शीर्ष संघ का अध्यक्ष चुना गया।\nMehta, Deepak Fertilisers and Petrochemicals Corporation Ltd के अध्यक्ष एवं प्रबंध निदेशक हैं और उन्हें उर्वरक तथा पेट्रोरसायन क्षेत्र का लगभग चार दशक का अनुभव प्राप्त है।\nउन्होंने Paradeep Phosphates Ltd के प्रबंध निदेशक एवं मुख्य कार्यपालक अधिकारी N. Suresh Krishnan का स्थान लिया।\nवर्ष 1955 में स्थापित तथा नई दिल्ली स्थित FAI एक उद्योग संघ है — न कोई नियामक, न अनुसंधान परिषद और न ही कोई थिंक टैंक; इसी से शेष तीनों विकल्प निरस्त हो जाते हैं।\nअतः सही विकल्प (c) है।","pos":2,"neg":0.5},{"id":2883,"n":83,"subject":"General Awareness","stem":"Who was the Chairperson of the Lok Sabha Estimates Committee as of July 2025 ?","stemHi":"जुलाई 2025 की स्थिति के अनुसार लोक सभा की प्राक्कलन समिति के सभापति कौन थे?","context":null,"contextHi":null,"options":[{"key":"a","text":"P. P. Chaudhary","textHi":null,"imageUrl":null},{"key":"b","text":"Sanjay Jaiswal","textHi":null,"imageUrl":null},{"key":"c","text":"Adhir Ranjan Chowdhury","textHi":null,"imageUrl":null},{"key":"d","text":"Om Birla","textHi":null,"imageUrl":null}],"correct":"b","sol":"Parliamentary committees\nDr. Sanjay Jaiswal, Lok Sabha MP from Paschim Champaran (Bihar), was named Chairperson of the Committee on Estimates for the 2025-26 term, which runs up to 30 April 2026.\nThe Estimates Committee is the largest of the three financial committees — 30 members, all elected by the Lok Sabha alone, with no Rajya Sabha representation; the Speaker appoints the chairperson for a one-year term.\nIt examines the estimates in the budget, suggests economies and reports whether money is being spent within the policy implied by the estimates, which is why it is called a 'continuous economy committee'.\nOm Birla is the Speaker of the Lok Sabha and therefore appoints such chairpersons rather than serving as one.\nThe first Estimates Committee of independent India was set up in 1950 on the recommendation of the then Finance Minister John Mathai.\nHence option (b) is correct.","solHi":"संसदीय समितियाँ\nपश्चिम चंपारण (बिहार) से लोक सभा सांसद डॉ. Sanjay Jaiswal को वर्ष 2025-26 के कार्यकाल हेतु प्राक्कलन समिति का सभापति नियुक्त किया गया, जिसकी अवधि 30 अप्रैल 2026 तक है।\nप्राक्कलन समिति तीनों वित्तीय समितियों में सबसे बड़ी है — इसमें 30 सदस्य होते हैं, जो केवल लोक सभा से चुने जाते हैं; इसमें राज्य सभा का कोई प्रतिनिधित्व नहीं होता तथा सभापति की नियुक्ति अध्यक्ष एक वर्ष के लिए करते हैं।\nयह समिति बजट के प्राक्कलनों की जाँच करती है, मितव्ययिता के सुझाव देती है तथा यह देखती है कि व्यय प्राक्कलनों में निहित नीति के अनुरूप हो रहा है या नहीं; इसीलिए इसे 'सतत मितव्ययिता समिति' कहा जाता है।\nOm Birla लोक सभा के अध्यक्ष हैं, अतः वे स्वयं सभापति न होकर ऐसे सभापतियों की नियुक्ति करते हैं।\nस्वतंत्र भारत की पहली प्राक्कलन समिति 1950 में तत्कालीन वित्त मंत्री John Mathai की सिफ़ारिश पर गठित की गई थी।\nअतः सही विकल्प (b) है।","pos":2,"neg":0.5},{"id":2884,"n":84,"subject":"General Awareness","stem":"According to official data cited by the Union Health Ministry, India recorded a TB incidence rate of

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per 1,00,000 population in 2023.","stemHi":"केंद्रीय स्वास्थ्य मंत्रालय द्वारा उद्धृत आधिकारिक आँकड़ों के अनुसार, वर्ष 2023 में भारत में टीबी की घटना दर प्रति 1,00,000 जनसंख्या पर

____

दर्ज की गई।","context":null,"contextHi":null,"options":[{"key":"a","text":"224","textHi":null,"imageUrl":null},{"key":"b","text":"195","textHi":null,"imageUrl":null},{"key":"c","text":"314","textHi":null,"imageUrl":null},{"key":"d","text":"316","textHi":null,"imageUrl":null}],"correct":"b","sol":"$63","solHi":"$64","pos":2,"neg":0.5},{"id":2885,"n":85,"subject":"General Awareness","stem":"What is the size of the term loan scheme proposed by the Government in the Budget for FY 2025-26 ?","stemHi":"वित्त वर्ष 2025-26 के बजट में सरकार द्वारा प्रस्तावित सावधि ऋण योजना का आकार कितना है?","context":null,"contextHi":null,"options":[{"key":"a","text":"₹4 crore","textHi":"₹4 करोड़","imageUrl":null},{"key":"b","text":"₹8 crore","textHi":"₹8 करोड़","imageUrl":null},{"key":"c","text":"₹10 crore","textHi":"₹10 करोड़","imageUrl":null},{"key":"d","text":"₹2 crore","textHi":"₹2 करोड़","imageUrl":null}],"correct":"d","sol":"Union Budget 2025-26\nThe Union Budget for FY 2025-26 announced a new scheme for 5 lakh first-time entrepreneurs — women, Scheduled Castes and Scheduled Tribes — offering term loans of up to ₹2 crore each over the next five years.\nThe aim is to open bank credit to groups that usually cannot offer collateral, and the loans are paired with online capacity-building in entrepreneurship and managerial skills.\nThe budget was presented by Finance Minister Nirmala Sitharaman on 1 February 2025.\nHence option (d) is correct.","solHi":"केंद्रीय बजट 2025-26\nवित्त वर्ष 2025-26 के केंद्रीय बजट में 5 लाख प्रथम-बार उद्यमियों — महिलाओं, अनुसूचित जातियों तथा अनुसूचित जनजातियों — के लिए एक नई योजना की घोषणा की गई, जिसके अंतर्गत अगले पाँच वर्षों में प्रत्येक को ₹2 करोड़ तक का सावधि ऋण दिया जाएगा।\nइसका उद्देश्य उन वर्गों तक बैंक ऋण पहुँचाना है जो प्रायः प्रतिभूति (collateral) नहीं दे पाते; इसके साथ उद्यमिता एवं प्रबंधन कौशल का ऑनलाइन क्षमता-निर्माण भी जोड़ा गया है।\nयह बजट वित्त मंत्री Nirmala Sitharaman द्वारा 1 फ़रवरी 2025 को प्रस्तुत किया गया था।\nअतः सही विकल्प (d) है।","pos":2,"neg":0.5},{"id":2886,"n":86,"subject":"General Awareness","stem":"The World Poverty Clock Report is published by which organisation?","stemHi":"विश्व निर्धनता घड़ी (World Poverty Clock) रिपोर्ट किस संगठन द्वारा प्रकाशित की जाती है?","context":null,"contextHi":null,"options":[{"key":"a","text":"World Data Lab","textHi":null,"imageUrl":null},{"key":"b","text":"World Bank","textHi":"विश्व बैंक","imageUrl":null},{"key":"c","text":"United Nations Development Programme","textHi":"संयुक्त राष्ट्र विकास कार्यक्रम","imageUrl":null},{"key":"d","text":"International Monetary Fund","textHi":"अंतर्राष्ट्रीय मुद्रा कोष","imageUrl":null}],"correct":"a","sol":"Reports and publishers\nThe World Poverty Clock is produced by World Data Lab, a data-analytics social enterprise, and was launched in 2017.\nIt gives a real-time, country-by-country estimate of how many people are living in extreme poverty, measured against the International Poverty Line of about USD 2.15 a day.\nIts purpose is to let governments track progress towards Sustainable Development Goal 1 — ending extreme poverty by 2030.\n $\"figure\"/$ \nHence option (a) is correct.","solHi":"रिपोर्ट एवं प्रकाशक\nWorld Poverty Clock का प्रकाशन World Data Lab नामक आँकड़ा-विश्लेषण सामाजिक उद्यम द्वारा किया जाता है और इसकी शुरुआत वर्ष 2017 में हुई थी।\nयह वास्तविक समय में, देशवार यह अनुमान देती है कि कितने लोग अत्यधिक निर्धनता में जी रहे हैं; इसका मापदंड लगभग USD 2.15 प्रतिदिन की अंतर्राष्ट्रीय निर्धनता रेखा है।\nइसका उद्देश्य सरकारों को सतत विकास लक्ष्य-1 अर्थात् वर्ष 2030 तक अत्यधिक निर्धनता समाप्त करने की दिशा में प्रगति मापने में सहायता करना है।\n $\"figure\"/$ \nअतः सही विकल्प (a) है।","pos":2,"neg":0.5},{"id":2887,"n":87,"subject":"General Awareness","stem":"India's first gold medal at the Asian Games was won by which sportsperson?","stemHi":"एशियाई खेलों में भारत का पहला स्वर्ण पदक किस खिलाड़ी ने जीता था?","context":null,"contextHi":null,"options":[{"key":"a","text":"Neeraj Chopra","textHi":null,"imageUrl":null},{"key":"b","text":"Sachin Nag","textHi":null,"imageUrl":null},{"key":"c","text":"Milkha Singh","textHi":null,"imageUrl":null},{"key":"d","text":"K. D. Jadhav","textHi":null,"imageUrl":null}],"correct":"b","sol":"Asian Games history\nThe first Asian Games were held in New Delhi in 1951, and the swimmer Sachin Nag won the men's 100 m freestyle — India's very first Asian Games gold medal.\nIndia finished second on that medal table with 15 golds, behind Japan.\nThe other names do not fit: K. D. Jadhav won India's first individual Olympic medal (wrestling bronze, Helsinki 1952), Milkha Singh's Asian Games golds began only in 1958, and Neeraj Chopra belongs to a much later era.\nHence option (b) is correct.","solHi":"एशियाई खेलों का इतिहास\nप्रथम एशियाई खेल वर्ष 1951 में नई दिल्ली में आयोजित हुए थे, जिनमें तैराक Sachin Nag ने पुरुषों की 100 मी. फ़्रीस्टाइल स्पर्धा जीतकर भारत का सर्वप्रथम एशियाई खेल स्वर्ण पदक प्राप्त किया।\nउन खेलों की पदक तालिका में भारत 15 स्वर्ण पदकों के साथ जापान के बाद दूसरे स्थान पर रहा था।\nशेष नाम उपयुक्त नहीं हैं: K. D. Jadhav ने भारत का पहला व्यक्तिगत ओलंपिक पदक (कुश्ती में कांस्य, हेलसिंकी 1952) जीता, Milkha Singh के एशियाई खेल स्वर्ण 1958 से आरंभ हुए तथा Neeraj Chopra बहुत बाद के काल के खिलाड़ी हैं।\nअतः सही विकल्प (b) है।","pos":2,"neg":0.5},{"id":2888,"n":88,"subject":"General Awareness","stem":"The term Surya Namaskar is associated with which discipline?","stemHi":"'सूर्य नमस्कार' शब्द किस विधा से संबंधित है?","context":null,"contextHi":null,"options":[{"key":"a","text":"Yoga","textHi":"योग","imageUrl":null},{"key":"b","text":"Cricket","textHi":"क्रिकेट","imageUrl":null},{"key":"c","text":"Baseball","textHi":"बेसबॉल","imageUrl":null},{"key":"d","text":"Football","textHi":"फुटबॉल","imageUrl":null}],"correct":"a","sol":"Yoga practices\nSurya Namaskar, or Sun Salutation, is a linked sequence of twelve yoga postures performed as one flowing cycle, each movement coordinated with inhalation or exhalation.\nIt therefore belongs to the discipline of yoga, and it forms a standard component of the Common Yoga Protocol demonstrated on International Day of Yoga, observed every 21 June.\nBecause it moves the spine through forward and backward bends in turn, it is often described as a complete body exercise.\nHence option (a) is correct.","solHi":"योग अभ्यास\nसूर्य नमस्कार बारह योगासनों का एक क्रमबद्ध चक्र है, जिसे एक सतत प्रवाह में किया जाता है तथा प्रत्येक गति को श्वास लेने या छोड़ने के साथ जोड़ा जाता है।\nअतः यह योग विधा से संबंधित है और प्रत्येक 21 जून को मनाए जाने वाले अंतर्राष्ट्रीय योग दिवस के 'सामान्य योग अभ्यासक्रम' का एक मानक अंग है।\nचूँकि इसमें रीढ़ बारी-बारी से आगे एवं पीछे की ओर झुकती है, इसलिए इसे प्रायः संपूर्ण शारीरिक व्यायाम कहा जाता है।\nअतः सही विकल्प (a) है।","pos":2,"neg":0.5},{"id":2889,"n":89,"subject":"General Awareness","stem":"The Aravalli Green Wall Project includes which of the following regions ?\nI. Delhi\nII. Jharkhand","stemHi":"अरावली ग्रीन वॉल परियोजना में निम्नलिखित में से कौन-से क्षेत्र सम्मिलित हैं?\nI. दिल्ली\nII. झारखंड","context":null,"contextHi":null,"options":[{"key":"a","text":"Only II","textHi":"केवल II","imageUrl":null},{"key":"b","text":"Only I","textHi":"केवल I","imageUrl":null},{"key":"c","text":"Neither I nor II","textHi":"न तो I और न ही II","imageUrl":null},{"key":"d","text":"Both I and II","textHi":"I और II दोनों","imageUrl":null}],"correct":"b","sol":"Aravalli Green Wall Project\nThe Aravalli Green Wall Project, launched in 2023, plans a green belt about 5 km wide running along roughly 1,400 km of the Aravalli range.\nThe range itself passes through only four States and Union Territories — Haryana, Rajasthan, Gujarat and Delhi — and the project therefore covers exactly these.\nJharkhand lies in the Chhotanagpur plateau, far to the east, and has no part in the project.\n $\"figure\"/$ \nSo statement I is true and statement II is false; the scheme is modelled on Africa's Great Green Wall and targets desertification and land degradation.\nHence option (b) is correct.","solHi":"अरावली ग्रीन वॉल परियोजना\nवर्ष 2023 में आरंभ की गई अरावली ग्रीन वॉल परियोजना के अंतर्गत अरावली शृंखला के लगभग 1,400 किमी. विस्तार के साथ-साथ लगभग 5 किमी. चौड़ी हरित पट्टी विकसित करने की योजना है।\nयह शृंखला केवल चार राज्यों/संघ राज्यक्षेत्रों — हरियाणा, राजस्थान, गुजरात तथा दिल्ली — से होकर गुजरती है और परियोजना का विस्तार भी ठीक इन्हीं तक है।\nझारखंड छोटानागपुर पठार में, बहुत पूर्व की ओर स्थित है और इस परियोजना का भाग नहीं है।\n $\"figure\"/$ \nअतः कथन I सत्य है तथा कथन II असत्य; यह योजना अफ़्रीका की 'Great Green Wall' परियोजना से प्रेरित है और मरुस्थलीकरण एवं भूमि-क्षरण को रोकने पर केंद्रित है।\nअतः सही विकल्प (b) है।","pos":2,"neg":0.5},{"id":2890,"n":90,"subject":"General Awareness","stem":"Which country has been chosen to host the International Shooting Sport Federation World Cup 2027 ?","stemHi":"अंतर्राष्ट्रीय निशानेबाजी खेल महासंघ (ISSF) विश्व कप 2027 की मेजबानी के लिए किस देश को चुना गया है?","context":null,"contextHi":null,"options":[{"key":"a","text":"India","textHi":"भारत","imageUrl":null},{"key":"b","text":"Japan","textHi":"जापान","imageUrl":null},{"key":"c","text":"Brazil","textHi":"ब्राज़ील","imageUrl":null},{"key":"d","text":"South Korea","textHi":"दक्षिण कोरिया","imageUrl":null}],"correct":"a","sol":"Sports events hosting\nIn July 2025 the Executive Committee of the International Shooting Sport Federation, meeting at Lonato del Garda in Italy, awarded the 2027 ISSF World Cup to New Delhi, India.\nThe same decision gave New Delhi the ISSF Junior World Championships of 2028, both to be staged at the Dr. Karni Singh Shooting Range.\nIndia has hosted ISSF events repeatedly in recent years, and this confirms its standing as a regular venue for world-level shooting.\nHence option (a) is correct.","solHi":"खेल आयोजनों की मेजबानी\nजुलाई 2025 में इटली के Lonato del Garda में हुई बैठक में अंतर्राष्ट्रीय निशानेबाजी खेल महासंघ (ISSF) की कार्यकारी समिति ने वर्ष 2027 का ISSF विश्व कप भारत की राजधानी नई दिल्ली को सौंपा।\nइसी निर्णय में नई दिल्ली को वर्ष 2028 की ISSF जूनियर विश्व चैंपियनशिप भी दी गई; दोनों आयोजन डॉ. कर्णी सिंह शूटिंग रेंज में होंगे।\nभारत ने हाल के वर्षों में कई बार ISSF प्रतियोगिताओं की मेजबानी की है, और इस निर्णय से विश्वस्तरीय निशानेबाजी के नियमित स्थल के रूप में उसकी स्थिति पुष्ट होती है।\nअतः सही विकल्प (a) है।","pos":2,"neg":0.5},{"id":2891,"n":91,"subject":"General Awareness","stem":"Who authored the book Development as Freedom ?","stemHi":"'Development as Freedom' पुस्तक के लेखक कौन हैं?","context":null,"contextHi":null,"options":[{"key":"a","text":"Arundhati Roy","textHi":null,"imageUrl":null},{"key":"b","text":"Ramachandra Guha","textHi":null,"imageUrl":null},{"key":"c","text":"Amartya Sen","textHi":null,"imageUrl":null},{"key":"d","text":"Nandan Nilekani","textHi":null,"imageUrl":null}],"correct":"c","sol":"Books and authors\n'Development as Freedom' (1999) was written by Amartya Sen, who had received the Nobel Memorial Prize in Economic Sciences in 1998 for his work on welfare economics.\nIts central argument is that development means expanding people's real freedoms — political liberty, economic facilities, social opportunities, transparency guarantees and protective security — rather than merely raising income.\nHis other well-known works include 'Poverty and Famines', 'Inequality Reexamined' and 'The Idea of Justice'.\n $\"figure\"/$ \nHence option (c) is correct.","solHi":"पुस्तकें एवं लेखक\n'Development as Freedom' (1999) के लेखक Amartya Sen हैं, जिन्हें कल्याण अर्थशास्त्र में योगदान के लिए वर्ष 1998 में अर्थशास्त्र का नोबेल स्मृति पुरस्कार मिला था।\nपुस्तक का मूल तर्क यह है कि विकास का अर्थ केवल आय बढ़ाना नहीं, बल्कि लोगों की वास्तविक स्वतंत्रताओं — राजनीतिक स्वतंत्रता, आर्थिक सुविधाएँ, सामाजिक अवसर, पारदर्शिता की गारंटी तथा संरक्षात्मक सुरक्षा — का विस्तार है।\nउनकी अन्य प्रसिद्ध कृतियों में 'Poverty and Famines', 'Inequality Reexamined' तथा 'The Idea of Justice' सम्मिलित हैं।\n $\"figure\"/$ \nअतः सही विकल्प (c) है।","pos":2,"neg":0.5},{"id":2892,"n":92,"subject":"General Awareness","stem":"Which of the following festivals is not associated with the cultural traditions of Rajasthan?","stemHi":"निम्नलिखित में से कौन-सा त्योहार राजस्थान की सांस्कृतिक परंपराओं से संबंधित नहीं है?","context":null,"contextHi":null,"options":[{"key":"a","text":"Teej","textHi":"तीज","imageUrl":null},{"key":"b","text":"Gangaur","textHi":"गणगौर","imageUrl":null},{"key":"c","text":"Losar","textHi":"लोसर","imageUrl":null},{"key":"d","text":"Makar Sankranti","textHi":"मकर संक्रांति","imageUrl":null}],"correct":"c","sol":"Festivals of India\nLosar is the Tibetan New Year. It is celebrated in Ladakh, Sikkim, Arunachal Pradesh and the Lahaul-Spiti belt of Himachal Pradesh — Tibetan-Buddhist areas — and not in Rajasthan.\nThe other three are firmly part of Rajasthan's calendar: Teej, the monsoon festival for Goddess Parvati, celebrated with great show in Jaipur; Gangaur, an eighteen-day festival honouring Gauri that closes in Chaitra; and Makar Sankranti, kept in Jaipur as a famous kite-flying day.\nThe question asks for the odd one out, so the Tibetan festival is the answer.\nHence option (c) is correct.","solHi":"भारत के त्योहार\nलोसर तिब्बती नववर्ष है। यह लद्दाख, सिक्किम, अरुणाचल प्रदेश तथा हिमाचल प्रदेश के लाहौल-स्पीति क्षेत्र अर्थात् तिब्बती-बौद्ध क्षेत्रों में मनाया जाता है, राजस्थान में नहीं।\nशेष तीनों राजस्थान की परंपरा का अभिन्न अंग हैं: तीज — देवी पार्वती से जुड़ा वर्षाकालीन त्योहार, जो जयपुर में बड़ी धूमधाम से मनाया जाता है; गणगौर — गौरी को समर्पित अठारह दिवसीय पर्व, जो चैत्र में संपन्न होता है; तथा मकर संक्रांति, जो जयपुर में प्रसिद्ध पतंगोत्सव के रूप में मनाई जाती है।\nप्रश्न में असंगत विकल्प पूछा गया है, अतः तिब्बती त्योहार ही उत्तर है।\nअतः सही विकल्प (c) है।","pos":2,"neg":0.5},{"id":2893,"n":93,"subject":"General Awareness","stem":"Which Mauryan-period monument is especially renowned for its finely carved stone gateways (toranas)?","stemHi":"मौर्यकालीन कौन-सा स्मारक अपने बारीक नक्काशीदार पाषाण तोरणद्वारों (तोरण) के लिए विशेष रूप से प्रसिद्ध है?","context":null,"contextHi":null,"options":[{"key":"a","text":"Sanchi Stupa","textHi":"साँची स्तूप","imageUrl":null},{"key":"b","text":"Dhauli Rock Edicts","textHi":"धौली शिलालेख","imageUrl":null},{"key":"c","text":"Barabar Caves","textHi":"बराबर गुफाएँ","imageUrl":null},{"key":"d","text":"Ashokan Pillar at Sarnath","textHi":"सारनाथ का अशोक स्तंभ","imageUrl":null}],"correct":"a","sol":"Mauryan art and architecture\nThe Great Stupa at Sanchi in Madhya Pradesh was begun by Ashoka in the 3rd century BCE and enlarged in the Shunga period with a stone casing, a circumambulatory path and a harmika crowned by a chhatra.\nIts fame rests on the four carved toranas — gateways placed at the cardinal points — added between the 1st century BCE and the 1st century CE under Satavahana-era patronage.\nThe torana panels narrate Jataka tales and events of the Buddha's life, but always through symbols such as the wheel, the bodhi tree and the footprints rather than a human figure.\nThe other options carry no gateways: Barabar has polished rock-cut caves, Dhauli carries Ashokan rock edicts, and the Sarnath pillar is known for its lion capital.\nSanchi was declared a UNESCO World Heritage Site in 1989.\nHence option (a) is correct.","solHi":"मौर्यकालीन कला एवं स्थापत्य\nमध्य प्रदेश स्थित साँची का महास्तूप तीसरी शताब्दी ईसा पूर्व में सम्राट अशोक द्वारा आरंभ किया गया और शुंग काल में इसे पत्थर के आवरण, प्रदक्षिणा पथ तथा छत्रयुक्त हर्मिका के साथ विस्तारित किया गया।\nइसकी प्रसिद्धि चार नक्काशीदार तोरणद्वारों पर टिकी है, जो चारों दिशाओं में बनाए गए तथा पहली शताब्दी ईसा पूर्व से पहली शताब्दी ईस्वी के बीच सातवाहन कालीन संरक्षण में जोड़े गए।\nइन तोरणों के फलकों पर जातक कथाएँ तथा बुद्ध के जीवन-प्रसंग उकेरे गए हैं, किंतु सदैव चक्र, बोधि वृक्ष एवं पदचिह्न जैसे प्रतीकों के माध्यम से, मानव आकृति के रूप में नहीं।\nशेष विकल्पों में तोरणद्वार नहीं हैं: बराबर में पॉलिशदार शैलकृत गुफाएँ हैं, धौली में अशोक के शिलालेख हैं तथा सारनाथ का स्तंभ अपने सिंह शीर्ष के लिए प्रसिद्ध है।\nसाँची को वर्ष 1989 में यूनेस्को विश्व धरोहर स्थल घोषित किया गया।\nअतः सही विकल्प (a) है।","pos":2,"neg":0.5},{"id":2894,"n":94,"subject":"General Awareness","stem":"India achieved a milestone in agricultural biotechnology in April 2025 with the development of the country's first genome-edited rice varieties. Which institution led to this achievement?","stemHi":"अप्रैल 2025 में भारत ने देश की पहली जीनोम-संपादित (genome-edited) धान की किस्में विकसित कर कृषि जैव प्रौद्योगिकी में एक उपलब्धि हासिल की। इस उपलब्धि का नेतृत्व किस संस्थान ने किया?","context":null,"contextHi":null,"options":[{"key":"a","text":"Indian Council of Agricultural Research (ICAR)","textHi":"भारतीय कृषि अनुसंधान परिषद (ICAR)","imageUrl":null},{"key":"b","text":"Central Rice Research Institute (CRRI)","textHi":"केंद्रीय चावल अनुसंधान संस्थान (CRRI)","imageUrl":null},{"key":"c","text":"Indian Council of Medical Research (ICMR)","textHi":"भारतीय आयुर्विज्ञान अनुसंधान परिषद (ICMR)","imageUrl":null},{"key":"d","text":"National Bureau of Plant Genetic Resources (NBPGR)","textHi":"राष्ट्रीय पादप आनुवंशिक संसाधन ब्यूरो (NBPGR)","imageUrl":null}],"correct":"a","sol":"Genome-edited rice\nThe work was led by the Indian Council of Agricultural Research (ICAR), which produced India's first two genome-edited rice varieties.\nDRR Dhan 100 (Kamala) came from ICAR-Indian Institute of Rice Research, Hyderabad, and Pusa DST Rice 1 from ICAR-Indian Agricultural Research Institute, New Delhi.\nBoth were made by CRISPR-Cas based site-directed nuclease editing of the plant's own genes; since no foreign DNA is inserted, they are not regulated as GM crops.\nThey are expected to raise yield, improve drought and salinity tolerance and save irrigation water.\nICAR was set up in 1929, is headquartered in New Delhi and functions under the Department of Agricultural Research and Education; CRRI (now NRRI, Cuttack) and NBPGR are themselves ICAR institutes, while ICMR deals with medical research.\nHence option (a) is correct.","solHi":"जीनोम-संपादित धान\nयह कार्य भारतीय कृषि अनुसंधान परिषद (ICAR) के नेतृत्व में हुआ, जिसने भारत की पहली दो जीनोम-संपादित धान किस्में विकसित कीं।\nDRR Dhan 100 (Kamala) ICAR-भारतीय चावल अनुसंधान संस्थान, हैदराबाद से तथा Pusa DST Rice 1 ICAR-भारतीय कृषि अनुसंधान संस्थान, नई दिल्ली से विकसित हुई।\nदोनों को पौधे के अपने ही जीनों के CRISPR-Cas आधारित स्थल-निर्दिष्ट न्यूक्लिएज संपादन से तैयार किया गया; चूँकि इसमें कोई बाहरी DNA नहीं जोड़ा जाता, अतः इन्हें GM फ़सल के रूप में विनियमित नहीं किया जाता।\nइनसे उपज बढ़ने, सूखा एवं लवणता सहनशीलता सुधरने तथा सिंचाई जल की बचत होने की आशा है।\nICAR की स्थापना 1929 में हुई, इसका मुख्यालय नई दिल्ली में है और यह कृषि अनुसंधान एवं शिक्षा विभाग के अधीन कार्य करता है; CRRI (अब NRRI, कटक) तथा NBPGR स्वयं ICAR के ही संस्थान हैं, जबकि ICMR चिकित्सा अनुसंधान से संबंधित है।\nअतः सही विकल्प (a) है।","pos":2,"neg":0.5},{"id":2895,"n":95,"subject":"General Awareness","stem":"In October 2024, the DRDO successfully developed the 'VSHORADS' system. What is its primary operational role?","stemHi":"अक्तूबर 2024 में DRDO ने 'VSHORADS' प्रणाली को सफलतापूर्वक विकसित किया। इसकी प्राथमिक परिचालन भूमिका क्या है?","context":null,"contextHi":null,"options":[{"key":"a","text":"Coastal surveillance operations","textHi":"तटीय निगरानी अभियान","imageUrl":null},{"key":"b","text":"Battlefield air defence at close range","textHi":"निकट दूरी पर युद्धक्षेत्र वायु रक्षा","imageUrl":null},{"key":"c","text":"Naval propulsion control","textHi":"नौसैनिक प्रणोदन नियंत्रण","imageUrl":null},{"key":"d","text":"Strategic missile launch coordination","textHi":"सामरिक मिसाइल प्रक्षेपण समन्वय","imageUrl":null}],"correct":"b","sol":"DRDO missile systems\nVSHORADS stands for Very Short Range Air Defence System — the name itself gives the role away.\nIt is a man-portable missile developed by DRDO's Research Centre Imarat with Indian industry partners, and its task is close-in battlefield air defence: bringing down low-flying aircraft, helicopters and drones over the troops it is protecting.\nIt uses a dual-thrust solid propellant motor and an imaging infra-red seeker, and is fired from a shoulder-launched canister, so a small team can move with the front line and shoot within seconds.\nFlight trials off the Odisha coast in October 2024 met all mission objectives.\nSurveillance, propulsion control and strategic missile command are entirely different functions, so the other options do not apply.\nHence option (b) is correct.","solHi":"DRDO मिसाइल प्रणालियाँ\nVSHORADS का पूर्ण रूप है Very Short Range Air Defence System अर्थात् अति लघु दूरी वायु रक्षा प्रणाली — नाम से ही इसकी भूमिका स्पष्ट हो जाती है।\nयह DRDO के Research Centre Imarat द्वारा भारतीय उद्योग भागीदारों के साथ विकसित मानव-वाह्य (man-portable) मिसाइल है, जिसका कार्य निकट दूरी की युद्धक्षेत्र वायु रक्षा है: सैनिकों के ऊपर उड़ते निम्न-ऊँचाई वाले विमानों, हेलीकॉप्टरों तथा ड्रोनों को मार गिराना।\nइसमें द्वि-प्रणोद ठोस प्रणोदक मोटर एवं इमेजिंग अवरक्त (infra-red) सीकर लगा है तथा इसे कंधे से रखे कनस्तर से दागा जाता है, जिससे एक छोटी टुकड़ी अग्रिम पंक्ति के साथ चल सके और कुछ ही सेकंड में प्रहार कर सके।\nअक्तूबर 2024 में ओडिशा तट पर हुए उड़ान परीक्षणों में सभी मिशन उद्देश्य पूरे हुए।\nनिगरानी, प्रणोदन नियंत्रण तथा सामरिक मिसाइल कमान पूर्णतः भिन्न कार्य हैं, अतः शेष विकल्प लागू नहीं होते।\nअतः सही विकल्प (b) है।","pos":2,"neg":0.5},{"id":2896,"n":96,"subject":"General Awareness","stem":"Which Indian ruler forged strong diplomatic ties with the French and reorganized his military forces using European methods?","stemHi":"किस भारतीय शासक ने फ्रांसीसियों के साथ प्रगाढ़ राजनयिक संबंध बनाए तथा यूरोपीय पद्धतियों से अपनी सेना का पुनर्गठन किया?","context":null,"contextHi":null,"options":[{"key":"a","text":"Tipu Sultan","textHi":null,"imageUrl":null},{"key":"b","text":"Balaji Vishwanath","textHi":null,"imageUrl":null},{"key":"c","text":"Ranjit Singh","textHi":null,"imageUrl":null},{"key":"d","text":"Asaf Jah I","textHi":null,"imageUrl":null}],"correct":"a","sol":"Tipu Sultan and the French\nTipu Sultan of Mysore built the closest French connection of any Indian ruler, hoping to use it against the English East India Company; he sent embassies to France and Turkey and planted a 'Tree of Liberty' at Srirangapatna, even joining the Jacobin Club there.\nFrench officers drilled his infantry in the European manner, and his arsenal produced the iron-cased Mysorean rockets that the British later studied and copied as the Congreve rocket.\nRanjit Singh did modernise the Khalsa army with European officers, but they were hired mercenaries and he kept no diplomatic alliance with France; Balaji Vishwanath and Asaf Jah I belong to an earlier period with no such reorganisation.\nHence option (a) is correct.","solHi":"टीपू सुल्तान और फ्रांसीसी\nमैसूर के Tipu Sultan ने किसी भी भारतीय शासक की तुलना में फ्रांसीसियों से सर्वाधिक प्रगाढ़ संबंध बनाए, ताकि अंग्रेज़ ईस्ट इंडिया कंपनी का सामना किया जा सके; उन्होंने फ्रांस एवं तुर्की में दूत भेजे तथा श्रीरंगपट्टनम में 'स्वतंत्रता वृक्ष' लगाकर वहाँ के जैकोबिन क्लब की सदस्यता भी ली।\nफ्रांसीसी अधिकारियों ने उनकी पैदल सेना को यूरोपीय ढंग से प्रशिक्षित किया तथा उनके शस्त्रागार में बने लोहे के आवरण वाले मैसूरी रॉकेट का अंग्रेज़ों ने बाद में अध्ययन कर 'Congreve rocket' के रूप में अनुकरण किया।\nRanjit Singh ने भी यूरोपीय अधिकारियों की सहायता से खालसा सेना का आधुनिकीकरण किया, किंतु वे वेतनभोगी भाड़े के अधिकारी थे और उनका फ्रांस से कोई राजनयिक गठबंधन नहीं था; Balaji Vishwanath तथा Asaf Jah I पूर्ववर्ती काल के हैं, जिनके यहाँ ऐसा पुनर्गठन नहीं हुआ।\nअतः सही विकल्प (a) है।","pos":2,"neg":0.5},{"id":2897,"n":97,"subject":"General Awareness","stem":"Which provision of the Indian Constitution explicitly declares the post of the Vice-President of India?","stemHi":"भारतीय संविधान का कौन-सा उपबंध भारत के उपराष्ट्रपति के पद की स्पष्ट रूप से घोषणा करता है?","context":null,"contextHi":null,"options":[{"key":"a","text":"Article 63","textHi":"अनुच्छेद 63","imageUrl":null},{"key":"b","text":"Article 74","textHi":"अनुच्छेद 74","imageUrl":null},{"key":"c","text":"Article 80","textHi":"अनुच्छेद 80","imageUrl":null},{"key":"d","text":"Article 52","textHi":"अनुच्छेद 52","imageUrl":null}],"correct":"a","sol":"Articles of the Constitution\nArticle 63 states in one line: 'There shall be a Vice-President of India.' It is the provision that creates the office itself, which is exactly what the question asks for.\nThe articles that follow fill in the detail — Article 64 makes him ex officio Chairman of the Council of States, Article 65 lets him discharge the President's functions when that office falls vacant, and Article 66 lays down the electoral college and the manner of election.\n $\"figure\"/$ \nNote the parallel wording of Article 52 for the President; it is the reason option (d) tempts, but it declares the wrong office.\nHence option (a) is correct.","solHi":"संविधान के अनुच्छेद\nअनुच्छेद 63 एक ही पंक्ति में कहता है: 'भारत का एक उपराष्ट्रपति होगा।' यही वह उपबंध है जो इस पद का सृजन करता है, और प्रश्न में ठीक यही पूछा गया है।\nआगे के अनुच्छेद विवरण देते हैं — अनुच्छेद 64 उन्हें राज्य सभा का पदेन सभापति बनाता है, अनुच्छेद 65 राष्ट्रपति पद रिक्त होने पर उनके कृत्यों का निर्वहन करने देता है तथा अनुच्छेद 66 निर्वाचक मंडल एवं निर्वाचन की रीति निर्धारित करता है।\n $\"figure\"/$ \nध्यान दें कि अनुच्छेद 52 की शब्दावली भी ठीक ऐसी ही है, किंतु वह राष्ट्रपति पद की घोषणा करता है; इसी कारण विकल्प (d) भ्रमित करता है।\nअतः सही विकल्प (a) है।","pos":2,"neg":0.5},{"id":2898,"n":98,"subject":"General Awareness","stem":"During the implementation period of India's Eighth Five-Year Plan (1992-1997), who was serving as the Prime Minister of the country ?","stemHi":"भारत की आठवीं पंचवर्षीय योजना (1992-1997) के क्रियान्वयन काल में देश के प्रधानमंत्री कौन थे?","context":null,"contextHi":null,"options":[{"key":"a","text":"P. V. Narasimha Rao","textHi":null,"imageUrl":null},{"key":"b","text":"Atal Bihari Vajpayee","textHi":null,"imageUrl":null},{"key":"c","text":"V. P. Singh","textHi":null,"imageUrl":null},{"key":"d","text":"H. D. Deve Gowda","textHi":null,"imageUrl":null}],"correct":"a","sol":"Five-Year Plans\nThe Eighth Five-Year Plan ran from 1992 to 1997, and P. V. Narasimha Rao was Prime Minister from June 1991 to May 1996 — that is, for almost the whole of it.\nThe plan itself was delayed by two years by political instability and the 1991 balance-of-payments crisis, so it became the first plan of the liberalised economy, stressing human resource development, employment generation and a smaller direct role for the State.\n $\"figure\"/$ \nThe other names do not fit the window: V. P. Singh left office in 1990, H. D. Deve Gowda became Prime Minister only in June 1996, and Atal Bihari Vajpayee's full term began in 1998.\nHence option (a) is correct.","solHi":"पंचवर्षीय योजनाएँ\nआठवीं पंचवर्षीय योजना 1992 से 1997 तक चली और P. V. Narasimha Rao जून 1991 से मई 1996 तक प्रधानमंत्री रहे, अर्थात् लगभग पूरी योजना अवधि में।\nयह योजना राजनीतिक अस्थिरता तथा 1991 के भुगतान संतुलन संकट के कारण दो वर्ष विलंबित हुई थी, अतः यह उदारीकृत अर्थव्यवस्था की पहली योजना बनी, जिसमें मानव संसाधन विकास, रोज़गार सृजन तथा राज्य की प्रत्यक्ष भूमिका घटाने पर बल दिया गया।\n $\"figure\"/$ \nशेष नाम इस अवधि में नहीं आते: V. P. Singh ने 1990 में पद छोड़ा, H. D. Deve Gowda जून 1996 में प्रधानमंत्री बने तथा Atal Bihari Vajpayee का पूर्ण कार्यकाल 1998 से आरंभ हुआ।\nअतः सही विकल्प (a) है।","pos":2,"neg":0.5},{"id":2899,"n":99,"subject":"General Awareness","stem":"In the human digestive system, which substances act as biological catalysts to break down food molecules?","stemHi":"मानव पाचन तंत्र में कौन-से पदार्थ जैविक उत्प्रेरक के रूप में कार्य कर भोजन के अणुओं को विघटित करते हैं?","context":null,"contextHi":null,"options":[{"key":"a","text":"Enzymes","textHi":"एंजाइम","imageUrl":null},{"key":"b","text":"Hormones","textHi":"हार्मोन","imageUrl":null},{"key":"c","text":"Antibodies","textHi":"एंटीबॉडी","imageUrl":null},{"key":"d","text":"Vitamins","textHi":"विटामिन","imageUrl":null}],"correct":"a","sol":"Digestive enzymes\nEnzymes are the biological catalysts of the alimentary canal: they speed up the hydrolysis of large food molecules into absorbable ones without being consumed themselves.\nSalivary amylase starts on starch in the mouth, pepsin (activated by hydrochloric acid) attacks protein in the stomach, and the pancreas supplies trypsin, pancreatic amylase and lipase to the small intestine.\n $\"figure\"/$ \nThe other options do different work: hormones are chemical messengers, antibodies are defence proteins, and vitamins are micronutrients that at most serve as coenzymes.\nHence option (a) is correct.","solHi":"पाचक एंजाइम\nएंजाइम पाचन नाल के जैविक उत्प्रेरक हैं: ये भोजन के बड़े अणुओं के जल-अपघटन को तेज़ करके उन्हें अवशोषण योग्य सरल अणुओं में बदलते हैं और स्वयं व्यय नहीं होते।\nलार-एमाइलेज मुख में स्टार्च पर कार्य आरंभ करता है, पेप्सिन (हाइड्रोक्लोरिक अम्ल द्वारा सक्रिय) आमाशय में प्रोटीन पर कार्य करता है तथा अग्न्याशय छोटी आँत को ट्रिप्सिन, अग्न्याशयी एमाइलेज एवं लाइपेज देता है।\n $\"figure\"/$ \nशेष विकल्पों का कार्य भिन्न है: हार्मोन रासायनिक संदेशवाहक हैं, एंटीबॉडी प्रतिरक्षा प्रोटीन हैं तथा विटामिन सूक्ष्म पोषक हैं जो अधिक से अधिक सह-एंजाइम का कार्य करते हैं।\nअतः सही विकल्प (a) है।","pos":2,"neg":0.5},{"id":2900,"n":100,"subject":"General Awareness","stem":"Apart from Sanskrit, which two languages were widely used and developed in ancient Vedic India for religious and philosophical expression?","stemHi":"संस्कृत के अतिरिक्त, प्राचीन वैदिक भारत में धार्मिक एवं दार्शनिक अभिव्यक्ति के लिए कौन-सी दो भाषाएँ व्यापक रूप से प्रयुक्त एवं विकसित हुईं?","context":null,"contextHi":null,"options":[{"key":"a","text":"Pali and Prakrit","textHi":"पालि और प्राकृत","imageUrl":null},{"key":"b","text":"Greek and Latin","textHi":"ग्रीक और लैटिन","imageUrl":null},{"key":"c","text":"Tamil and Telugu","textHi":"तमिल और तेलुगु","imageUrl":null},{"key":"d","text":"Persian and Arabic","textHi":"फ़ारसी और अरबी","imageUrl":null}],"correct":"a","sol":"Ancient Indian languages\nBesides Sanskrit, the two languages that carried religious and philosophical thought in ancient India were Pali and Prakrit.\nThe Buddhist canon, the Tipitaka, was composed in Pali, and the Jain Agamas in Ardhamagadhi Prakrit; both stood close to everyday speech, so the teaching could reach ordinary people rather than only the learned.\nAshoka's edicts too are written mostly in Prakrit, using the Brahmi script.\nThe other pairs are out of place: Greek and Latin, and Persian and Arabic, entered India far later, while Tamil and Telugu belong to the Dravidian family of the south and to a separate literary tradition.\nHence option (a) is correct.","solHi":"प्राचीन भारतीय भाषाएँ\nसंस्कृत के अतिरिक्त प्राचीन भारत में धार्मिक एवं दार्शनिक विचारों को वहन करने वाली दो भाषाएँ पालि तथा प्राकृत थीं।\nबौद्ध ग्रंथ 'त्रिपिटक' पालि में तथा जैन 'आगम' अर्धमागधी प्राकृत में रचे गए; दोनों जनसामान्य की बोली के निकट थीं, अतः उपदेश केवल विद्वानों तक सीमित न रहकर सामान्य जन तक पहुँच सके।\nअशोक के अभिलेख भी अधिकांशतः प्राकृत में, ब्राह्मी लिपि में लिखे गए हैं।\nशेष युग्म अनुपयुक्त हैं: ग्रीक एवं लैटिन तथा फ़ारसी एवं अरबी भारत में बहुत बाद में आईं, जबकि तमिल एवं तेलुगु दक्षिण के द्रविड़ परिवार तथा एक पृथक् साहित्यिक परंपरा से संबंधित हैं।\nअतः सही विकल्प (a) है।","pos":2,"neg":0.5}],"test":{"slug":"ssc-chsl-tier-1--27-nov-2025-shift-1","title":"SSC CHSL Tier-1 27 November 2025 Shift-1 Previous Year Paper","examName":"CHSL Tier-1","paperLabel":"27 November 2025 · Shift 1","sectionSubject":null,"durationMinutes":60,"format":"full_test"}}]