27:I[81166,["/_next/static/immutable/chunks/2corl6wyj4669.js","/_next/static/immutable/chunks/38n271cv4vmyv.js","/_next/static/immutable/chunks/2pf73jja2520w.js"],"default"] 28:T482,Directions (Qs. 7-11): Read the following passage carefully and answer the questions that follow. Artificial intelligence ethics boards (AEBs) have a significant and varied function in guiding technological advancement, operating as vital forums for oversight, regulation, and ethical alignment. Developers can discuss risks, establish guidelines, and ensure algorithmic fairness within inclusive environments provided by international consortia, academic institutions, and tech watchdogs. To secure public trust in digital systems, AEBs regularly conduct impact assessments to monitor biases, protect privacy, and assist in transparent software deployment. They also work to uphold ethical principles and data rights, making corporations answerable for their software's impact and fostering a culture of responsible innovation. Although their influence is limited by commercial interests, lack of enforcement power, and rapid technological shifts, AEBs are fundamental for organizing ethical responses to digital threats, gathering expert consensus to prevent misuse, and building the framework for trustworthy technology in an automated society.29:T482,Directions (Qs. 7-11): Read the following passage carefully and answer the questions that follow. Artificial intelligence ethics boards (AEBs) have a significant and varied function in guiding technological advancement, operating as vital forums for oversight, regulation, and ethical alignment. Developers can discuss risks, establish guidelines, and ensure algorithmic fairness within inclusive environments provided by international consortia, academic institutions, and tech watchdogs. To secure public trust in digital systems, AEBs regularly conduct impact assessments to monitor biases, protect privacy, and assist in transparent software deployment. They also work to uphold ethical principles and data rights, making corporations answerable for their software's impact and fostering a culture of responsible innovation. Although their influence is limited by commercial interests, lack of enforcement power, and rapid technological shifts, AEBs are fundamental for organizing ethical responses to digital threats, gathering expert consensus to prevent misuse, and building the framework for trustworthy technology in an automated society.2a:T482,Directions (Qs. 7-11): Read the following passage carefully and answer the questions that follow. Artificial intelligence ethics boards (AEBs) have a significant and varied function in guiding technological advancement, operating as vital forums for oversight, regulation, and ethical alignment. Developers can discuss risks, establish guidelines, and ensure algorithmic fairness within inclusive environments provided by international consortia, academic institutions, and tech watchdogs. To secure public trust in digital systems, AEBs regularly conduct impact assessments to monitor biases, protect privacy, and assist in transparent software deployment. They also work to uphold ethical principles and data rights, making corporations answerable for their software's impact and fostering a culture of responsible innovation. Although their influence is limited by commercial interests, lack of enforcement power, and rapid technological shifts, AEBs are fundamental for organizing ethical responses to digital threats, gathering expert consensus to prevent misuse, and building the framework for trustworthy technology in an automated society.2b:T482,Directions (Qs. 7-11): Read the following passage carefully and answer the questions that follow. Artificial intelligence ethics boards (AEBs) have a significant and varied function in guiding technological advancement, operating as vital forums for oversight, regulation, and ethical alignment. Developers can discuss risks, establish guidelines, and ensure algorithmic fairness within inclusive environments provided by international consortia, academic institutions, and tech watchdogs. To secure public trust in digital systems, AEBs regularly conduct impact assessments to monitor biases, protect privacy, and assist in transparent software deployment. They also work to uphold ethical principles and data rights, making corporations answerable for their software's impact and fostering a culture of responsible innovation. Although their influence is limited by commercial interests, lack of enforcement power, and rapid technological shifts, AEBs are fundamental for organizing ethical responses to digital threats, gathering expert consensus to prevent misuse, and building the framework for trustworthy technology in an automated society.2c:T482,Directions (Qs. 7-11): Read the following passage carefully and answer the questions that follow. Artificial intelligence ethics boards (AEBs) have a significant and varied function in guiding technological advancement, operating as vital forums for oversight, regulation, and ethical alignment. Developers can discuss risks, establish guidelines, and ensure algorithmic fairness within inclusive environments provided by international consortia, academic institutions, and tech watchdogs. To secure public trust in digital systems, AEBs regularly conduct impact assessments to monitor biases, protect privacy, and assist in transparent software deployment. They also work to uphold ethical principles and data rights, making corporations answerable for their software's impact and fostering a culture of responsible innovation. Although their influence is limited by commercial interests, lack of enforcement power, and rapid technological shifts, AEBs are fundamental for organizing ethical responses to digital threats, gathering expert consensus to prevent misuse, and building the framework for trustworthy technology in an automated society.2d:T43d,Indirect to direct speech Turning indirect speech into direct speech means undoing each backshift and putting the words back into the speaker's own person. 'told the players that' becomes 'the coach said to the players', with the real words inside inverted commas. 'Their dedication' refers to the listeners, so it becomes 'Your dedication'; 'he was sure' becomes 'I am sure'; 'they would win' becomes 'you will win'. 'Had been remarkable' goes back to the present perfect 'has been remarkable', and 'which was a tough battle' goes back to 'which is a tough battle'. 'They had to now train' carries an obligation felt at that very moment, which in the coach's own words is 'you must now train'. Option (c) carries out every one of these changes, so it is correct. Option (a) keeps 'was remarkable', option (b) weakens the obligation to 'you have to', and option (d) never converts the pronouns or the tenses at all.2e:T420,Mirror image The mirror AB stands vertically beside the figure, so the image is a left-to-right reversal; nothing moves up or down and nothing is rotated.

The shaded triangular flag lies to the left of the vertical line and points left, so in the image it must lie to the right of that line and point right. The plain Z-shaped outline lies in the lower right of the circle, so in the image it must lie in the lower left and appear as a reversed Z. The slanting chord runs from the top right down to the lower left, so in the image it must run from the top left down to the lower right. Option (c) shows all three changes together and keeps every part at the same height, so it is the required mirror image. Option (d) merely repeats the question figure, option (b) turns the shaded flag instead of reflecting it, and in option (a) the reversed Z does not stand where the reflection places it.2f:T615,Number series First take the gaps between consecutive terms: 19-7=12, 67-19=48 and 259-67=192. Each gap is 4 times the one before it, since

12 \times 4 = 48

and

48 \times 4 = 192

, so the next gap is

192 \times 4 = 768

The same rule can be written as one operation on each term:

term \times 4 - 9

, because

7 \times 4 - 9 = 19

and

19 \times 4 - 9 = 67

. So the missing term is

259 \times 4 - 9 = 1036 - 9 = 1027

. Hence the answer is option (b).30:T790,संख्या शृंखला सबसे पहले क्रमागत पदों का अंतर लीजिए: 19-7=12, 67-19=48 तथा 259-67=192। प्रत्येक अंतर अपने पिछले अंतर का 4 गुना है, क्योंकि

12 \times 4 = 48

और

48 \times 4 = 192

, अतः अगला अंतर

192 \times 4 = 768

होगा।

यही नियम प्रत्येक पद पर एक ही संक्रिया के रूप में लिखा जा सकता है:

term \times 4 - 9

, क्योंकि

7 \times 4 - 9 = 19

और

19 \times 4 - 9 = 67

। अतः लुप्त पद

259 \times 4 - 9 = 1036 - 9 = 1027

है। इसलिए सही विकल्प (b) है।31:T729,Odd pair out Check what joins the two numbers of each pair by writing both of them as perfect squares.

4 = 2^{2}

and

9 = 3^{2}

, and 2 and 3 are consecutive numbers.

9 = 3^{2}

with

16 = 4^{2}

, and

49 = 7^{2}

with

64 = 8^{2}

— in both pairs the roots are again consecutive.

81 = 9^{2}

and

121 = 11^{2}

, but 9 and 11 are not consecutive, so this pair breaks the pattern. Hence the odd pair is 81, 121, which is option (d).32:T903,विषम युग्म प्रत्येक युग्म की दोनों संख्याओं को पूर्ण वर्ग के रूप में लिखकर देखिए कि उन्हें क्या जोड़ता है।

4 = 2^{2}

तथा

9 = 3^{2}

हैं, और 2 व 3 क्रमागत संख्याएँ हैं।

9 = 3^{2}

के साथ

16 = 4^{2}

, तथा

49 = 7^{2}

के साथ

64 = 8^{2}

— दोनों युग्मों में मूल पुनः क्रमागत हैं।

81 = 9^{2}

तथा

121 = 11^{2}

हैं, किंतु 9 और 11 क्रमागत नहीं हैं, अतः यह युग्म पैटर्न तोड़ता है। इसलिए विषम युग्म 81, 121 है, जो विकल्प (d) है।33:T536,Paper folding and punching The first fold is made along the diagonal that runs from the top-left corner to the bottom-right corner, and the second fold along the other diagonal, so the folded paper is one quarter of the sheet and is 4 layers thick. Every punch therefore prints 4 times when the sheet is opened out, and every notch cut on a crease opens into one shape that straddles that crease symmetrically. Three holes are punched, so the open sheet shows

3 \times 4 = 12

holes; the two notches, one on each crease, open into 2+2=4 notch shapes.

Because the two creases are the two diagonals, the finished pattern must look the same when it is reflected in either diagonal: a pair of holes near each corner, four holes round the centre, and one notch sitting astride each diagonal. Option (d) carries all twelve holes and places the four notches symmetrically across the two diagonals, so it is the required figure. In options (a) and (b) one of the notches is turned the wrong way round, and option (c) shows only six holes instead of twelve.34:Ta7b,कागज़ मोड़कर छेदना पहला मोड़ ऊपर-बाएँ कोने से नीचे-दाएँ कोने तक जाने वाले विकर्ण पर तथा दूसरा मोड़ दूसरे विकर्ण पर लगाया गया है, अतः मुड़ा हुआ कागज़ पूरे कागज़ का एक चौथाई है और उसमें 4 परतें हैं। इसलिए प्रत्येक छेद खोलने पर 4 बार बनता है और किसी मोड़-रेखा पर काटा गया प्रत्येक कटाव खुलने पर एक ऐसी आकृति बनाता है जो उस मोड़-रेखा के दोनों ओर सममित रहती है। तीन छेद किए गए हैं, अतः खुले कागज़ पर

3 \times 4 = 12

छेद दिखेंगे; दोनों मोड़-रेखाओं पर एक-एक कटाव है, जिनसे 2+2=4 कटाव-आकृतियाँ बनती हैं।

चूँकि दोनों मोड़-रेखाएँ दोनों विकर्ण हैं, अतः अंतिम प्रतिरूप किसी भी विकर्ण पर परावर्तित करने पर वैसा ही दिखना चाहिए: प्रत्येक कोने के पास छेदों का एक युग्म, केंद्र के चारों ओर चार छेद तथा प्रत्येक विकर्ण पर एक कटाव। विकल्प (d) में बारहों छेद हैं और चारों कटाव दोनों विकर्णों के सापेक्ष सममित रूप से रखे गए हैं, अतः यही अभीष्ट आकृति है। विकल्प (a) तथा (b) में कोई एक कटाव उल्टी दिशा में मुड़ा हुआ है और विकल्प (c) में बारह के स्थान पर केवल छह छेद दिखाए गए हैं।35:T442,Embedded figure First break the question figure into the parts that must all be found again:

a slant rising from the left towards the right, a horizontal line at the top, a long vertical line at the extreme right, a long horizontal line lower down, and a short upright standing on that lower line. Rotation is not allowed, so each of these five parts has to appear in the option figure in the same direction and at the same relative distance from the others. In option (b) the slant, the top horizontal, the long right-hand vertical, the lower horizontal and the short upright on it all lie together exactly as in the question figure, so the figure is hidden there. In option (a) the slant and the right-hand vertical fall on blank space instead of on drawn lines, and in option (c) the upright on the lower line is far too short to reach the required height. Option (d) has no set of lines standing at these distances at all.36:T943,अंतर्निहित आकृति सबसे पहले प्रश्न आकृति को उन भागों में बाँटिए जो विकल्प में फिर से मिलने चाहिए:

बाईं ओर से दाईं ओर ऊपर उठती एक तिरछी रेखा, ऊपर एक क्षैतिज रेखा, सबसे दाईं ओर एक लंबी ऊर्ध्वाधर रेखा, नीचे की ओर एक लंबी क्षैतिज रेखा तथा उस निचली रेखा पर खड़ी एक छोटी ऊर्ध्वाधर रेखा। घुमाने की अनुमति नहीं है, अतः इन पाँचों भागों को विकल्प आकृति में उसी दिशा में तथा एक-दूसरे से उसी सापेक्ष दूरी पर होना चाहिए। विकल्प (b) में तिरछी रेखा, ऊपर की क्षैतिज रेखा, दाईं ओर की लंबी ऊर्ध्वाधर रेखा, निचली क्षैतिज रेखा तथा उस पर खड़ी छोटी ऊर्ध्वाधर रेखा ठीक उसी प्रकार एक साथ मिलती हैं, अतः आकृति वहीं छिपी है। विकल्प (a) में तिरछी रेखा तथा दाईं ओर की ऊर्ध्वाधर रेखा खींची गई रेखाओं पर न पड़कर रिक्त स्थान पर पड़ती हैं और विकल्प (c) में निचली रेखा पर खड़ी ऊर्ध्वाधर रेखा अभीष्ट ऊँचाई तक पहुँचने के लिए बहुत छोटी है। विकल्प (d) में तो इन दूरियों पर रेखाओं का ऐसा समूह है ही नहीं।37:T75a,Number matrix The grid holds three numbers one below the other in each column:

Read each column from the top: the middle number is three times one more than the top number. First column:

3 \times (4 + 1) = 3 \times 5 = 15

. Third column:

3 \times (6 + 1) = 3 \times 7 = 21

. So for the second column the missing number is

3 \times (7 + 1) = 3 \times 8 = 24

. The bottom row confirms the pattern, since it is always

8 \times (top) + 12

8 \times 4 + 12 = 44

8 \times 6 + 12 = 60

and

8 \times 7 + 12 = 68

.38:T967,संख्या आव्यूह इस जाल में प्रत्येक स्तंभ में एक के नीचे एक तीन संख्याएँ हैं:

प्रत्येक स्तंभ को ऊपर से पढ़िए: बीच की संख्या, ऊपर की संख्या में एक जोड़कर उसका तिगुना है। पहला स्तंभ:

3 \times (4 + 1) = 3 \times 5 = 15

। तीसरा स्तंभ:

3 \times (6 + 1) = 3 \times 7 = 21

। अतः दूसरे स्तंभ में अभीष्ट संख्या

3 \times (7 + 1) = 3 \times 8 = 24

है। नीचे की पंक्ति भी इसी नियम की पुष्टि करती है, क्योंकि वह सदैव

8 \times (ऊपर की संख्या) + 12

होती है:

8 \times 4 + 12 = 44

8 \times 6 + 12 = 60

तथा

8 \times 7 + 12 = 68

।39:T5cc,Completing a pattern The drawing is an eight-sided figure whose centre is the centre of the square, with a straight line joining the centre to each of its eight corners. In every quarter the same three things appear: the two sides of the octagon, the line from the centre to the slanting corner, and a short line running from the corner on the vertical mid-line to the mid-point of that slanting line.

The missing quarter is the bottom-right one, so its top-left corner is the centre of the square, the point on its top edge is the octagon corner lying on the horizontal mid-line, and the point on its left edge is the octagon corner lying on the vertical mid-line. The piece must therefore show a line starting exactly at its top-left corner and running down to the slanting corner, two more lines from that corner to the marked points on the top edge and on the left edge, and a short line from the point on the left edge to the middle of the first line. Option (a) draws all four of these lines with the slanting line beginning exactly at the corner of the piece, so it completes the pattern. In option (c) that slanting line does not reach the corner of the piece, in option (d) the upper line runs to the corner of the square instead of to the octagon corner, and in option (b) no line touches the left edge at all.3a:Tb9d,प्रतिरूप पूर्ण करना यह आकृति एक अष्टभुज है जिसका केंद्र वर्ग का केंद्र है और केंद्र से उसके आठों शीर्षों तक एक-एक सीधी रेखा खींची गई है। प्रत्येक चौथाई भाग में वही तीन बातें दिखती हैं: अष्टभुज की दो भुजाएँ, केंद्र से तिरछे शीर्ष तक जाने वाली रेखा, तथा ऊर्ध्वाधर मध्य-रेखा पर स्थित शीर्ष से उसी तिरछी रेखा के मध्य-बिंदु तक जाती एक छोटी रेखा।

लुप्त भाग नीचे-दाईं ओर का चौथाई है, अतः उसका ऊपर-बायाँ कोना वर्ग का केंद्र है, उसकी ऊपरी भुजा पर का बिंदु क्षैतिज मध्य-रेखा पर स्थित अष्टभुज का शीर्ष है तथा उसकी बाईं भुजा पर का बिंदु ऊर्ध्वाधर मध्य-रेखा पर स्थित शीर्ष है। अतः इस टुकड़े में ठीक उसके ऊपर-बाएँ कोने से आरंभ होकर तिरछे शीर्ष तक जाती एक रेखा, उस शीर्ष से ऊपरी भुजा तथा बाईं भुजा के अंकित बिंदुओं तक दो रेखाएँ, और बाईं भुजा के बिंदु से पहली रेखा के मध्य तक एक छोटी रेखा होनी चाहिए। विकल्प (a) में ये चारों रेखाएँ हैं और तिरछी रेखा ठीक टुकड़े के कोने से आरंभ होती है, अतः यही प्रतिरूप को पूर्ण करता है। विकल्प (c) में वह तिरछी रेखा टुकड़े के कोने तक पहुँचती ही नहीं, विकल्प (d) में ऊपरी रेखा अष्टभुज के शीर्ष के बजाय वर्ग के कोने तक चली जाती है और विकल्प (b) में कोई भी रेखा बाईं भुजा को छूती नहीं है।3b:T4b4,Figure analogy Compare the first two figures part by part.

The line carrying the two short arms is upright in the first figure and horizontal in the second, while the plain crossing line turns the other way, from horizontal to upright. The arm that pointed to the right at the top now points downwards at the right-hand end, and the arm that pointed to the left at the bottom now points upwards at the left-hand end. Both changes together are exactly a quarter turn of the whole figure in the clockwise direction, so figure 2 = figure 1 turned through

90^{\circ}

clockwise. The third figure is a circle with a plain upright line inside it; a quarter turn leaves the circle unchanged and lays that line flat. So the answer is a circle with a plain horizontal line, which is option (a); option (c) merely repeats the third figure, while options (b) and (d) add short arms that the third figure never had.3c:T96a,आकृति सादृश्यता पहली दो आकृतियों की भाग-दर-भाग तुलना कीजिए।

जिस रेखा पर दो छोटी भुजाएँ हैं वह पहली आकृति में ऊर्ध्वाधर है और दूसरी में क्षैतिज, जबकि उसे काटने वाली सादी रेखा क्षैतिज से ऊर्ध्वाधर हो जाती है। जो भुजा ऊपर दाईं ओर संकेत करती थी वह अब दाएँ सिरे पर नीचे की ओर संकेत करती है और जो नीचे बाईं ओर थी वह अब बाएँ सिरे पर ऊपर की ओर है। ये दोनों परिवर्तन मिलकर ठीक पूरी आकृति के दक्षिणावर्त एक चौथाई घुमाव के बराबर हैं, अतः आकृति 2 = आकृति 1 को

90^{\circ}

दक्षिणावर्त घुमाने पर प्राप्त आकृति। तीसरी आकृति एक वृत्त है जिसके भीतर एक सादी ऊर्ध्वाधर रेखा है; एक चौथाई घुमाव से वृत्त वैसा ही रहता है और वह रेखा लेट जाती है। अतः उत्तर एक वृत्त है जिसमें एक सादी क्षैतिज रेखा है, अर्थात विकल्प (a); विकल्प (c) तीसरी आकृति को ज्यों का त्यों दोहराता है, जबकि विकल्प (b) तथा (d) में ऐसी छोटी भुजाएँ जोड़ दी गई हैं जो तीसरी आकृति में थीं ही नहीं।3d:T43c,Partnership ratio In a partnership the profit is shared in the ratio of investment × time. So investment

= \frac{profit share}{time}

Ratio of investments

= \frac{5}{15} : \frac{7}{21} : \frac{3}{6} = \frac{1}{3} : \frac{1}{3} : \frac{1}{2}

. Multiplying every part by 6 gives 2:2:3. Hence the required ratio of their investments is 2:2:3.3e:T568,साझेदारी अनुपात साझेदारी में लाभ, निवेश × समय के अनुपात में बँटता है। अतः निवेश

= \frac{लाभ का भाग}{समय}

।

निवेशों का अनुपात

= \frac{5}{15} : \frac{7}{21} : \frac{3}{6} = \frac{1}{3} : \frac{1}{3} : \frac{1}{2}

। प्रत्येक पद को 6 से गुणा करने पर 2:2:3 प्राप्त होता है। अतः उनके निवेशों का अभीष्ट अनुपात 2:2:3 है।3f:T736,Trigonometric identity Use the identity

1 + \cot^{2} x = {c o s e c}^{2} x

, which gives

{c o s e c}^{2} x - \cot^{2} x = 1

. So the expression becomes

1 - \cos^{2} x

. By the basic identity

\sin^{2} x + \cos^{2} x = 1

, we get

1 - \cos^{2} x = \sin^{2} x

. Hence the simplified value is

\sin^{2} x

. Option (d) would be right only if the term

\cos^{2} x

were absent, so it is the tempting wrong choice.40:T89f,त्रिकोणमितीय सर्वसमिका सर्वसमिका

1 + \cot^{2} x = {c o s e c}^{2} x

का प्रयोग कीजिए, जिससे

{c o s e c}^{2} x - \cot^{2} x = 1

प्राप्त होता है। अतः व्यंजक

1 - \cos^{2} x

रह जाता है। मूल सर्वसमिका

\sin^{2} x + \cos^{2} x = 1

से

1 - \cos^{2} x = \sin^{2} x

प्राप्त होता है। अतः सरलीकृत मान

\sin^{2} x

है। विकल्प (d) तभी सही होता जब पद

\cos^{2} x

न होता, इसीलिए वह भ्रमित करने वाला गलत विकल्प है।41:T435,CI and SI difference For 2 years the difference between compound and simple interest is one year's interest on the first year's interest. Formula: difference

= P {(\frac{r}{100})}^{2}

. Substituting:

720 = P {(\frac{12}{100})}^{2} = P \times \frac{144}{10000}

. So

P = \frac{720 \times 10000}{144} = 50000

. The principal is ₹50,000.42:T533,चक्रवृद्धि और साधारण ब्याज का अंतर 2 वर्ष के लिए चक्रवृद्धि तथा साधारण ब्याज का अंतर, पहले वर्ष के ब्याज पर एक वर्ष का ब्याज होता है। सूत्र: अंतर

= P {(\frac{r}{100})}^{2}

। मान रखने पर:

720 = P {(\frac{12}{100})}^{2} = P \times \frac{144}{10000}

। अतः

P = \frac{720 \times 10000}{144} = 50000

। अतः मूलधन ₹50,000 है।43:T42e,Compound interest with withdrawal At

20 %

per annum a sum becomes

\frac{120}{100}

times itself in one year. Amount at the end of the first year

= 300000 \times \frac{120}{100} = 360000

. After the withdrawal the balance is 360000-30000=330000. Only this balance earns interest in the second year:

330000 \times \frac{120}{100} = 396000

. So ₹3,96,000 remains at the end of the second year. Option (a) comes from deducting the ₹30,000 after the second year's interest instead of before it.44:T5f3,निकासी सहित चक्रवृद्धि ब्याज

20 %

वार्षिक दर पर कोई राशि एक वर्ष में अपनी

\frac{120}{100}

गुनी हो जाती है। पहले वर्ष के अंत में मिश्रधन

= 300000 \times \frac{120}{100} = 360000

। निकासी के बाद शेष राशि =360000-30000=330000 है। दूसरे वर्ष में केवल इसी शेष राशि पर ब्याज लगेगा:

330000 \times \frac{120}{100} = 396000

। अतः दूसरे वर्ष के अंत में ₹3,96,000 शेष रहेंगे। विकल्प (a) तब मिलता है जब ₹30,000 को दूसरे वर्ष के ब्याज से पहले के बजाय बाद में घटाया जाए।45:T476,HCF and common remainder If a divisor leaves the same remainder in each case, it divides the difference of any two of the numbers exactly. 16115-15827=288 16703-16115=588 16703-15827=876 The greatest such divisor is the HCF of these differences:

288 = 2^{5} \times 3^{2}

588 = 2^{2} \times 3 \times 7^{2}

, so their HCF is 12, and

876 = 12 \times 73

as well. Hence l=12; dividing,

15827 = 12 \times 1318 + 11

, so n=11. Therefore l+n=12+11=23.46:T5bb,म.स. और समान शेषफल यदि कोई भाजक प्रत्येक स्थिति में समान शेषफल छोड़ता है, तो वह किन्हीं दो संख्याओं के अंतर को पूरा-पूरा विभाजित करता है। 16115-15827=288 16703-16115=588 16703-15827=876 ऐसा महत्तम भाजक इन अंतरों का म.स. है:

288 = 2^{5} \times 3^{2}

588 = 2^{2} \times 3 \times 7^{2}

, अतः इनका म.स. 12 है तथा

876 = 12 \times 73

भी है। अतः l=12; भाग देने पर

15827 = 12 \times 1318 + 11

, अतः n=11। इसलिए l+n=12+11=23।47:T586,Successive percentage rise Let the original price be x. A rise of

10 %

multiplies it by

\frac{11}{10}

and a rise of

12.5 %

multiplies it by

\frac{9}{8}

. So

x \times \frac{11}{10} \times \frac{9}{8} = 69300

, that is

x \times \frac{99}{80} = 69300

x = 69300 \times \frac{80}{99} = 700 \times 80 = 56000

. The original price of the car was ₹56,000.48:T63b,क्रमिक प्रतिशत वृद्धि माना कि मूल मूल्य x है।

10 %

की वृद्धि उसे

\frac{11}{10}

गुना तथा

12.5 %

की वृद्धि

\frac{9}{8}

गुना कर देती है। अतः

x \times \frac{11}{10} \times \frac{9}{8} = 69300

, अर्थात

x \times \frac{99}{80} = 69300

।

x = 69300 \times \frac{80}{99} = 700 \times 80 = 56000

। अतः कार का मूल मूल्य ₹56,000 था।49:T501,Average speed and time Let the one-way distance be d km; the same d is covered each way. Time

= \frac{distance}{speed}

, so the total time is

\frac{d}{60} + \frac{d}{40} = 15

. Taking the LCM 120:

\frac{2 d + 3 d}{120} = 15

\frac{5 d}{120} = 15

, so

d = \frac{15 \times 120}{5} = 360

. The one-way distance to the town is 360 km. Option (d) is the total distance of the round trip, not the one-way distance.4a:T602,चाल, समय और दूरी माना कि एक ओर की दूरी d km है; जाते और लौटते समय यही दूरी तय होती है। समय

= \frac{दूरी}{चाल}

, अतः कुल समय

\frac{d}{60} + \frac{d}{40} = 15

। ल.स. 120 लेने पर:

\frac{2 d + 3 d}{120} = 15

।

\frac{5 d}{120} = 15

, अतः

d = \frac{15 \times 120}{5} = 360

। अतः नगर तक एक ओर की दूरी 360 km है। विकल्प (d) आने-जाने की कुल दूरी है, एक ओर की दूरी नहीं।4b:T4a2,Time and work Take the total work as the LCM of the two given times, i.e.

L C M (20, 30) = 60

units. One day's work of P and Q together

= \frac{60}{20} = 3

units. One day's work of Q alone

= \frac{60}{30} = 2

units. So one day's work of P alone =3-2=1 unit.

Time taken by P alone

= \frac{60}{1} = 60

days, so option (c) is correct.4c:T5e4,समय और कार्य कुल कार्य को दोनों दिए गए समयों का ल.स. मान लीजिए, अर्थात्

L C M (20, 30) = 60

इकाई। P और Q का एक दिन का कार्य

= \frac{60}{20} = 3

इकाई। अकेले Q का एक दिन का कार्य

= \frac{60}{30} = 2

इकाई। अतः अकेले P का एक दिन का कार्य =3-2=1 इकाई।

अकेले P द्वारा लिया गया समय

= \frac{60}{1} = 60

दिन, इसलिए सही विकल्प (c) है।4d:T8fc,Similar triangles in a trapezium

PQ and RS are parallel, so in

△ P O Q

and

△ R O S

the alternate angles are equal:

∠ O P Q = ∠ O R S

and

∠ O Q P = ∠ O S R

. Hence

△ P O Q \sim △ R O S

by AA similarity, with PQ and RS as corresponding sides. For similar triangles,

\frac{area of △ P O Q}{area of △ R O S} = {(\frac{P Q}{R S})}^{2}

. Given PQ=2RS, the ratio of the areas

= {(\frac{2}{1})}^{2} = 4

. Area of

△ P O Q = 4 \times 16 = 64

, i.e. 64 cm

​^{2}

, so option (a) is correct.4e:Taa7,समलंब में समरूप त्रिभुज

PQ और RS समांतर हैं, अतः

△ P O Q

तथा

△ R O S

में एकांतर कोण बराबर हैं:

∠ O P Q = ∠ O R S

तथा

∠ O Q P = ∠ O S R

। अतः AA समरूपता से

△ P O Q \sim △ R O S

, जिनमें PQ और RS संगत भुजाएँ हैं। समरूप त्रिभुजों के लिए,

\frac{area of △ P O Q}{area of △ R O S} = {(\frac{P Q}{R S})}^{2}

। दिया है PQ=2RS, अतः क्षेत्रफलों का अनुपात

= {(\frac{2}{1})}^{2} = 4

।

△ P O Q

का क्षेत्रफल

= 4 \times 16 = 64

, अर्थात् 64 cm

​^{2}

, इसलिए सही विकल्प (a) है।4f:T570,Discount and profit ₹765 is the amount paid after a

15 %

discount, so it is

85 %

of the marked price. Marked price

= 765 \times \frac{100}{85} = 900

, i.e. ₹900. Even at ₹765 the shopkeeper gains

25 %

, so ₹765 is

125 %

of the cost price. Cost price

= 765 \times \frac{100}{125} = 612

, i.e. ₹612.

Without any discount the notebooks would be sold at the marked price, so the selling price would be ₹900. Profit =900-612=288, i.e. ₹288, so option (c) is correct.50:T6f4,छूट और लाभ ₹765 वह राशि है जो

15 %

छूट के बाद चुकाई गई, अतः यह अंकित मूल्य का

85 %

है। अंकित मूल्य

= 765 \times \frac{100}{85} = 900

, अर्थात् ₹900। ₹765 पर भी दुकानदार को

25 %

लाभ होता है, अतः ₹765 क्रय मूल्य का

125 %

है। क्रय मूल्य

= 765 \times \frac{100}{125} = 612

, अर्थात् ₹612।

बिना किसी छूट के नोटबुक अंकित मूल्य पर बेची जातीं, अतः विक्रय मूल्य ₹900 होता। लाभ =900-612=288, अर्थात् ₹288, इसलिए सही विकल्प (c) है।51:T47c,Simple interest rate Formula:

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

. Substituting P=2500, SI=500 and T=3:

500 = \frac{2500 \times R \times 3}{100}

. 500=75R

R = \frac{500}{75} = \frac{20}{3}

So the rate is

\frac{20}{3} %

per annum (that is

6 \frac{2}{3} %

), and option (b) is correct.52:T4ea,साधारण ब्याज की दर सूत्र:

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

। P=2500, SI=500 तथा T=3 रखने पर:

500 = \frac{2500 \times R \times 3}{100}

। 500=75R

R = \frac{500}{75} = \frac{20}{3}

अतः वार्षिक दर

\frac{20}{3} %

(अर्थात्

6 \frac{2}{3} %

) है और सही विकल्प (b) है।53:T4fc,Volume of a cylinder When the sheet is rolled with the 20 cm side as the height, the 88 cm side wraps round and becomes the circumference of the base.

2 π r = 88

r = \frac{88 \times 7}{2 \times 22} = 14

cm, and the height h=20 cm. Volume

= π r^{2} h = \frac{22}{7} \times 14 \times 14 \times 20

Volume

= 22 \times 2 \times 14 \times 20 = 12320

cubic cm, so option (d) is correct.54:T5ca,बेलन का आयतन जब शीट को 20 cm वाली भुजा को ऊँचाई बनाते हुए मोड़ा जाता है, तो 88 cm वाली भुजा लपेटकर आधार की परिधि बन जाती है।

2 π r = 88

r = \frac{88 \times 7}{2 \times 22} = 14

cm तथा ऊँचाई h=20 cm। आयतन

= π r^{2} h = \frac{22}{7} \times 14 \times 14 \times 20

आयतन

= 22 \times 2 \times 14 \times 20 = 12320

घन cm, इसलिए सही विकल्प (d) है।55:T6f9,Sum of two squares First find the value asked for:

12^{2} + 65^{2} = 144 + 4225 = 4369

Option (a):

15^{2} + 42^{2} = 225 + 1764 = 1989

. Option (b):

20^{2} + 63^{2} = 400 + 3969 = 4369

, which is exactly the required value. Option (c):

18^{2} + 45^{2} = 324 + 2025 = 2349

and option (d):

82^{2} + 72^{2} = 6724 + 5184 = 11908

. Only option (b) matches, so option (b) is correct.56:T7e3,दो वर्गों का योग सबसे पहले अभीष्ट मान ज्ञात कीजिए:

12^{2} + 65^{2} = 144 + 4225 = 4369

।

विकल्प (a):

15^{2} + 42^{2} = 225 + 1764 = 1989

। विकल्प (b):

20^{2} + 63^{2} = 400 + 3969 = 4369

, जो ठीक अभीष्ट मान है। विकल्प (c):

18^{2} + 45^{2} = 324 + 2025 = 2349

तथा विकल्प (d):

82^{2} + 72^{2} = 6724 + 5184 = 11908

। केवल विकल्प (b) मेल खाता है, इसलिए सही विकल्प (b) है।57:T403,Mixture and alligation Tin in the given alloy

= 20 %

of 75=15 kg, so the lead =75-15=60 kg. Only pure tin is added, so the quantity of lead stays 60 kg throughout. In the new mixture tin is

40 %

, so lead is

100 - 40 = 60 %

of it. New total weight

= \frac{60 \times 100}{60} = 100

kg.

Tin to be added =100-75=25 kg, so option (b) is correct.58:T7c9,Volume of a hemispherical shell

The material is the outer hemisphere minus the hollow inner hemisphere, so volume

= \frac{2}{3} π R^{3} - \frac{2}{3} π r^{3} = \frac{2}{3} π (R^{3} - r^{3})

. Substituting R=11 cm and r=9 cm:

= \frac{2}{3} π (11^{3} - 9^{3})

= \frac{2}{3} π (1331 - 729) = \frac{2}{3} π \times 602

= \frac{1204 π}{3}

​^{3}

, so option (b) is correct.59:T89f,अर्धगोलाकार खोल का आयतन

पदार्थ बाह्य अर्धगोले में से खोखले आंतरिक अर्धगोले को घटाने पर मिलता है, अतः आयतन

= \frac{2}{3} π R^{3} - \frac{2}{3} π r^{3} = \frac{2}{3} π (R^{3} - r^{3})

। R=11 cm तथा r=9 cm रखने पर:

= \frac{2}{3} π (11^{3} - 9^{3})

।

= \frac{2}{3} π (1331 - 729) = \frac{2}{3} π \times 602

= \frac{1204 π}{3}

​^{3}

, इसलिए सही विकल्प (b) है।5a:T4e6,Fraction of capacity Adding 30 litres raises the water from

\frac{2}{5}

of the tank to

\frac{3}{5}

of the tank.

So the 30 litres is exactly

\frac{3}{5} - \frac{2}{5} = \frac{1}{5}

of the capacity.

\frac{1}{5}

of the capacity =30 litres. Capacity

= 30 \times 5 = 150

litres, so option (c) is correct.5b:T5fa,धारिता का भिन्न भाग 30 लीटर पानी डालने पर जल-स्तर टंकी के

\frac{2}{5}

भाग से

\frac{3}{5}

भाग तक पहुँच जाता है।

अतः ये 30 लीटर धारिता के ठीक

\frac{3}{5} - \frac{2}{5} = \frac{1}{5}

भाग के बराबर हैं। धारिता का

\frac{1}{5}

भाग =30 लीटर। धारिता

= 30 \times 5 = 150

लीटर, इसलिए सही विकल्प (c) है।5c:T623,Centroid of a triangle Formula: the centroid

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

— simply the average of the three vertices. x-coordinate

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

y-coordinate

= \frac{7 + 8 + 6}{3} = \frac{21}{3} = 7

So the centroid is (6,7), so option (c) is correct.5d:T6d3,त्रिभुज का केंद्रक सूत्र: केंद्रक

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

— अर्थात् तीनों शीर्षों का औसत। x-निर्देशांक

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

y-निर्देशांक

= \frac{7 + 8 + 6}{3} = \frac{21}{3} = 7

अतः केंद्रक (6,7) है, इसलिए सही विकल्प (c) है।5e:T96f,Rationalising a surd denominator To rationalise, multiply the numerator and the denominator by the conjugate of the denominator, i.e. by

\sqrt{5} - \sqrt{3}

\frac{8}{\sqrt{5} + \sqrt{3}} \times \frac{\sqrt{5} - \sqrt{3}}{\sqrt{5} - \sqrt{3}} = \frac{8 (\sqrt{5} - \sqrt{3})}{{(\sqrt{5})}^{2} - {(\sqrt{3})}^{2}}

The denominator uses

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

and becomes 5-3=2, which is free of surds.

= \frac{8 (\sqrt{5} - \sqrt{3})}{2} = 4 (\sqrt{5} - \sqrt{3})

So the rationalised form is

4 (\sqrt{5} - \sqrt{3})

, and option (b) is correct.5f:Ta5b,करणी हर का परिमेयकरण परिमेयकरण के लिए अंश और हर दोनों को हर के संयुग्मी, अर्थात्

\sqrt{5} - \sqrt{3}

से गुणा कीजिए।

\frac{8}{\sqrt{5} + \sqrt{3}} \times \frac{\sqrt{5} - \sqrt{3}}{\sqrt{5} - \sqrt{3}} = \frac{8 (\sqrt{5} - \sqrt{3})}{{(\sqrt{5})}^{2} - {(\sqrt{3})}^{2}}

हर में

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

लगने पर वह 5-3=2 हो जाता है, जो करणी से मुक्त है।

= \frac{8 (\sqrt{5} - \sqrt{3})}{2} = 4 (\sqrt{5} - \sqrt{3})

अतः परिमेयकृत रूप

4 (\sqrt{5} - \sqrt{3})

है, इसलिए सही विकल्प (b) है।60:Tb1c,Algebraic identity Identity:

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

. Substituting the given values:

405 = 15 \times (a^{2} + b^{2} + c^{2} - a b - b c - c a)

a^{2} + b^{2} + c^{2} - a b - b c - c a = \frac{405}{15} = 27

Second identity:

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

. Required value

= 2 \times 27 = 54

, so option (b) is correct.61:Tbb4,बीजीय सर्वसमिका सर्वसमिका:

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

। दिए गए मान रखने पर:

405 = 15 \times (a^{2} + b^{2} + c^{2} - a b - b c - c a)

।

a^{2} + b^{2} + c^{2} - a b - b c - c a = \frac{405}{15} = 27

दूसरी सर्वसमिका:

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

। अतः अभीष्ट मान

= 2 \times 27 = 54

, इसलिए सही विकल्प (b) है।62:Tcde,Trigonometric simplification Expand the numerator:

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

. Using

\sin^{2} θ + \cos^{2} θ = 1

, the numerator

= 1 + 2 \cos θ + 1 = 2 (1 + \cos θ)

. In the denominator use

\csc^{2} θ - 1 = \cot^{2} θ

, so it becomes

\cot^{2} θ \cdot \sin^{2} θ

\cot^{2} θ \cdot \sin^{2} θ = \frac{\cos^{2} θ}{\sin^{2} θ} \times \sin^{2} θ = \cos^{2} θ

. So the expression

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

= 2 \sec^{2} θ + 2 \sec θ = 2 \sec θ (1 + \sec θ)

, so option (d) is correct.63:Td95,त्रिकोणमितीय सरलीकरण अंश का प्रसार कीजिए:

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

।

\sin^{2} θ + \cos^{2} θ = 1

का प्रयोग करने पर अंश

= 1 + 2 \cos θ + 1 = 2 (1 + \cos θ)

। हर में

\csc^{2} θ - 1 = \cot^{2} θ

रखने पर वह

\cot^{2} θ \cdot \sin^{2} θ

हो जाता है।

\cot^{2} θ \cdot \sin^{2} θ = \frac{\cos^{2} θ}{\sin^{2} θ} \times \sin^{2} θ = \cos^{2} θ

। अतः व्यंजक

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

।

= 2 \sec^{2} θ + 2 \sec θ = 2 \sec θ (1 + \sec θ)

, इसलिए सही विकल्प (d) है।1d:["$","$L27",null,{"mode":"exam","dropped":0,"bilingual":true,"choiceSubjects":[],"questions":[{"id":10901,"n":1,"subject":"English Language","stem":"Identify the part of the sentence that contains a grammatical error.\nA. A herd of cattle\nB. were grazing in\nC. the large field\nD. behind the farm.","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"A herd of cattle","textHi":null,"imageUrl":null},{"key":"b","text":"were grazing in","textHi":null,"imageUrl":null},{"key":"c","text":"the large field","textHi":null,"imageUrl":null},{"key":"d","text":"behind the farm.","textHi":null,"imageUrl":null}],"correct":"b","sol":"Subject-verb agreement\nA collective noun such as herd, flock, team or committee is treated as one single unit, so it takes a singular verb.\nThe subject of the sentence is 'A herd', not 'cattle' — the phrase 'of cattle' only describes the herd and can never decide the verb.\nSo the plural verb 'were' is wrong; the sentence needs 'was grazing in'.\nParts A, C and D contain no error, so the error lies in part B.\nCorrect sentence: A herd of cattle was grazing in the large field behind the farm.","solHi":null,"pos":2,"neg":0.5},{"id":10902,"n":2,"subject":"English Language","stem":"Fill in the blank with the most appropriate preposition:\nThe resolution was passed

____

unanimous support and confidence.","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"by","textHi":null,"imageUrl":null},{"key":"b","text":"over","textHi":null,"imageUrl":null},{"key":"c","text":"under","textHi":null,"imageUrl":null},{"key":"d","text":"with","textHi":null,"imageUrl":null}],"correct":"d","sol":"Prepositions\nThe blank needs a preposition that links the passing of the resolution with the support and confidence that went along with it.\n $\"figure\"/$ \n'With' expresses accompaniment, so 'passed with unanimous support' means the support and confidence accompanied the passing.\n'By' would need a doer after it (passed by the members), while 'over' and 'under' show position or control, neither of which fits here.\nCorrect sentence: The resolution was passed with unanimous support and confidence.","solHi":null,"pos":2,"neg":0.5},{"id":10903,"n":3,"subject":"English Language","stem":"Select the most appropriate synonym of the word:\nArgumentation","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"Dialectic","textHi":null,"imageUrl":null},{"key":"b","text":"Conversation","textHi":null,"imageUrl":null},{"key":"c","text":"Logic","textHi":null,"imageUrl":null},{"key":"d","text":"Imagination","textHi":null,"imageUrl":null}],"correct":"a","sol":"Synonyms\n'Argumentation' is the systematic process of reasoning — putting forward arguments and answering counter-arguments.\n $\"figure\"/$ \n'Dialectic' names exactly that method of reaching the truth through argument and counter-argument, so it is the closest synonym.\n'Logic' is the science of correct reasoning rather than the act of arguing, and 'Conversation' and 'Imagination' have nothing to do with debate.\nHence, option (a) is the most appropriate answer.","solHi":null,"pos":2,"neg":0.5},{"id":10904,"n":4,"subject":"English Language","stem":"Choose the incorrectly spelt word:","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"Introvert","textHi":null,"imageUrl":null},{"key":"b","text":"Amicable","textHi":null,"imageUrl":null},{"key":"c","text":"Recluse","textHi":null,"imageUrl":null},{"key":"d","text":"Gregarios","textHi":null,"imageUrl":null}],"correct":"d","sol":"Spelling\n'Gregarios' is misspelt; the correct spelling is 'Gregarious', which means fond of company or sociable.\n $\"figure\"/$ \nThe adjective ends in -ous, exactly like 'various' and 'curious'; the other three words are spelt correctly.\nHence, option (d) is the incorrectly spelt word.","solHi":null,"pos":2,"neg":0.5},{"id":10905,"n":5,"subject":"English Language","stem":"Which of the following sentences uses the word "park" with the same meaning as in the following sentence?\nYou should park the truck near the entrance.","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"We decided to have a picnic at the national park.","textHi":null,"imageUrl":null},{"key":"b","text":"Please park your car in the designated driveway.","textHi":null,"imageUrl":null},{"key":"c","text":"We can park this project until next month.","textHi":null,"imageUrl":null},{"key":"d","text":"The batsman hit the ball out of the park.","textHi":null,"imageUrl":null}],"correct":"b","sol":"Word used in context\nIn the given sentence 'park' is a verb meaning to bring a vehicle to a stop and leave it in a particular place.\n $\"figure\"/$ \nOption (b), 'Please park your car in the designated driveway', uses 'park' in exactly this sense.\nIn (a) and (d) 'park' is a noun (a public garden, a playing field), and in (c) it means to postpone something.\nHence, option (b) is the most appropriate answer.","solHi":null,"pos":2,"neg":0.5},{"id":10906,"n":6,"subject":"English Language","stem":"Choose the incorrectly spelt word:","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"Procure","textHi":null,"imageUrl":null},{"key":"b","text":"Recieve","textHi":null,"imageUrl":null},{"key":"c","text":"Achieve","textHi":null,"imageUrl":null},{"key":"d","text":"Obtain","textHi":null,"imageUrl":null}],"correct":"b","sol":"Spelling\n'Recieve' is misspelt; the correct spelling is 'Receive'.\n $\"figure\"/$ \nThe rule is 'i before e, except after c' — after c the order becomes c-e-i, as in receive, deceive and ceiling.\nHence, option (b) is the incorrectly spelt word.","solHi":null,"pos":2,"neg":0.5},{"id":10907,"n":7,"subject":"English Language","stem":"What is one of the primary roles of Al ethics boards (AEBs) in guiding technology ?","stemHi":null,"context":"$28","contextHi":null,"options":[{"key":"a","text":"To accelerate the development of biased algorithms","textHi":null,"imageUrl":null},{"key":"b","text":"To operate as vital forums for oversight, regulation, and ethical alignment","textHi":null,"imageUrl":null},{"key":"c","text":"To prevent developers from discussing potential risks","textHi":null,"imageUrl":null},{"key":"d","text":"To eliminate the need for public trust in software","textHi":null,"imageUrl":null}],"correct":"b","sol":"Reading comprehension\nThe opening sentence itself states the role: AEBs guide technological advancement by 'operating as vital forums for oversight, regulation, and ethical alignment'.\nThat is precisely option (b).\nOptions (a), (c) and (d) reverse the passage: the boards check bias, invite developers to discuss risks, and work to secure public trust rather than remove it.\nHence, option (b) is the most appropriate answer.","solHi":null,"pos":2,"neg":0.5},{"id":10908,"n":8,"subject":"English Language","stem":"How do ethics boards contribute to public trust in digital systems, as mentioned in the passage?","stemHi":null,"context":"$29","contextHi":null,"options":[{"key":"a","text":"By hiding software biases from the general public","textHi":null,"imageUrl":null},{"key":"b","text":"By conducting impact assessments to monitor biases and protect privacy","textHi":null,"imageUrl":null},{"key":"c","text":"By promoting unregulated data collection practices","textHi":null,"imageUrl":null},{"key":"d","text":"By discouraging transparency in software deployment","textHi":null,"imageUrl":null}],"correct":"b","sol":"Reading comprehension\nThe passage says: 'To secure public trust in digital systems, AEBs regularly conduct impact assessments to monitor biases, protect privacy, and assist in transparent software deployment.'\nSo public trust is built through impact assessments that watch for bias and guard privacy, which is option (b).\nThe other options contradict the passage — nothing is hidden from the public, data collection is not left unregulated, and transparency is assisted, not discouraged.\nHence, option (b) is the most appropriate answer.","solHi":null,"pos":2,"neg":0.5},{"id":10909,"n":9,"subject":"English Language","stem":"What is a key challenge faced by Al ethics boards, according to the passage?","stemHi":null,"context":"$2a","contextHi":null,"options":[{"key":"a","text":"A lack of new technological developments","textHi":null,"imageUrl":null},{"key":"b","text":"Commercial interests, lack of enforcement power, and rapid technological shifts","textHi":null,"imageUrl":null},{"key":"c","text":"Total cooperation from all global corporations","textHi":null,"imageUrl":null},{"key":"d","text":"Decreasing complexity in digital threats","textHi":null,"imageUrl":null}],"correct":"b","sol":"Reading comprehension\nThe word 'Although' signals the limitation: 'Although their influence is limited by commercial interests, lack of enforcement power, and rapid technological shifts...'\nThese three together form the key challenge, so option (b) is correct.\n(a) and (d) are the opposite of what the passage describes, and (c), total cooperation from corporations, would be a help and not a challenge.\nHence, option (b) is the most appropriate answer.","solHi":null,"pos":2,"neg":0.5},{"id":10910,"n":10,"subject":"English Language","stem":"According to the passage, how do these boards help promote responsible innovation?","stemHi":null,"context":"$2b","contextHi":null,"options":[{"key":"a","text":"By allowing corporations to ignore data rights","textHi":null,"imageUrl":null},{"key":"b","text":"By making corporations answerable for their software's impact","textHi":null,"imageUrl":null},{"key":"c","text":"By restricting the flow of information to academic institutions","textHi":null,"imageUrl":null},{"key":"d","text":"By focusing only on the profitability of new tech","textHi":null,"imageUrl":null}],"correct":"b","sol":"Reading comprehension\nThe passage states that the boards 'work to uphold ethical principles and data rights, making corporations answerable for their software's impact and fostering a culture of responsible innovation'.\nResponsible innovation therefore grows out of holding corporations answerable, which is option (b).\n(a) contradicts 'uphold ethical principles and data rights', while (c) and (d) find no support anywhere in the passage.\nHence, option (b) is the most appropriate answer.","solHi":null,"pos":2,"neg":0.5},{"id":10911,"n":11,"subject":"English Language","stem":"What is the meaning of "fundamental" as used in the passage?","stemHi":null,"context":"$2c","contextHi":null,"options":[{"key":"a","text":"Easily replaceable","textHi":null,"imageUrl":null},{"key":"b","text":"Essential or absolutely necessary","textHi":null,"imageUrl":null},{"key":"c","text":"Optional but useful","textHi":null,"imageUrl":null},{"key":"d","text":"Unlikely to succeed","textHi":null,"imageUrl":null}],"correct":"b","sol":"Vocabulary in context\nThe passage says that AEBs 'are fundamental for organizing ethical responses to digital threats'.\n'Fundamental' means forming the necessary base of something, that is, essential or absolutely necessary.\nThe contrast with 'Although their influence is limited' shows that the writer is stressing their importance, so 'optional but useful' and 'easily replaceable' are far too weak.\nHence, option (b) is the most appropriate answer.","solHi":null,"pos":2,"neg":0.5},{"id":10912,"n":12,"subject":"English Language","stem":"Choose the correct meaning of the idiom:\nEveryone was surprised when she announced that she had a bun in the oven.","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"A new employee","textHi":null,"imageUrl":null},{"key":"b","text":"An unfit person","textHi":null,"imageUrl":null},{"key":"c","text":"A pregnancy","textHi":null,"imageUrl":null},{"key":"d","text":"A mischief","textHi":null,"imageUrl":null}],"correct":"c","sol":"Idioms and phrases\n'To have a bun in the oven' is an informal idiom meaning to be pregnant.\nThe image is of something already baking inside, that is, a baby on the way, and the surprise of the listeners fits the announcement of a pregnancy.\nHence, option (c) is the most appropriate answer.","solHi":null,"pos":2,"neg":0.5},{"id":10913,"n":13,"subject":"English Language","stem":"Choose the correct one-word substitute for:\nAn institution providing medical and surgical treatment and nursing care for sick or injured people.","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"Dispensary","textHi":null,"imageUrl":null},{"key":"b","text":"Hospital","textHi":null,"imageUrl":null},{"key":"c","text":"Pharmacy","textHi":null,"imageUrl":null},{"key":"d","text":"Pantry","textHi":null,"imageUrl":null}],"correct":"b","sol":"One-word substitution\nAn institution that gives medical and surgical treatment together with nursing care is a hospital.\n $\"figure\"/$ \nA dispensary or a pharmacy only prepares or sells medicines and a pantry is a store for food, so none of them offers surgery or nursing care.\nHence, option (b) is the most appropriate answer.","solHi":null,"pos":2,"neg":0.5},{"id":10914,"n":14,"subject":"English Language","stem":"Select the most appropriate antonym of the word:\nDisturbing","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"Pleasant","textHi":null,"imageUrl":null},{"key":"b","text":"Tedious","textHi":null,"imageUrl":null},{"key":"c","text":"Bothersome","textHi":null,"imageUrl":null},{"key":"d","text":"Vexatious","textHi":null,"imageUrl":null}],"correct":"a","sol":"Antonyms\n'Disturbing' means causing worry, anxiety or discomfort.\n $\"figure\"/$ \nIts opposite must give comfort or enjoyment, and that word is 'Pleasant'.\n'Tedious', 'Bothersome' and 'Vexatious' all carry the same negative sense, so they are near-synonyms of the given word, not antonyms.\nHence, option (a) is the most appropriate answer.","solHi":null,"pos":2,"neg":0.5},{"id":10915,"n":15,"subject":"English Language","stem":"Choose the correct one-word substitute for the highlighted group of words.\nRamesh asked his friend who is a poet about a technique that creates narrative rhythm.","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"Plot","textHi":null,"imageUrl":null},{"key":"b","text":"Repetition","textHi":null,"imageUrl":null},{"key":"c","text":"Personification","textHi":null,"imageUrl":null},{"key":"d","text":"Humour","textHi":null,"imageUrl":null}],"correct":"b","sol":"One-word substitution\nThe highlighted words describe a literary device that gives a piece of writing its rhythm by bringing the same word, phrase or sound back again and again.\n $\"figure\"/$ \nThat device is 'Repetition'.\n'Plot' is the sequence of events in a story, 'Personification' gives human qualities to non-human things and 'Humour' is the quality of being funny, so none of them creates rhythm.\nHence, option (b) is the most appropriate answer.","solHi":null,"pos":2,"neg":0.5},{"id":10916,"n":16,"subject":"English Language","stem":"Change the following sentence into the Active form.\nThe last piece of cake was eaten by my brother.","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"My brother ate the last piece of cake.","textHi":null,"imageUrl":null},{"key":"b","text":"The last piece of cake was eating my brother.","textHi":null,"imageUrl":null},{"key":"c","text":"My brother eats the last piece of cake.","textHi":null,"imageUrl":null},{"key":"d","text":"The last piece of cake had been eaten by my brother.","textHi":null,"imageUrl":null}],"correct":"a","sol":"Passive to active voice\nThe given sentence is passive: 'was eaten' is the simple past passive and the doer appears as 'by my brother'.\n $\"figure\"/$ \nTo make it active, the doer becomes the subject, the passive subject becomes the object, and 'was eaten' becomes the simple past 'ate'.\nThis gives 'My brother ate the last piece of cake'; (c) wrongly shifts to the present tense, while (b) and (d) do not change the voice at all.\nHence, option (a) is the most appropriate answer.","solHi":null,"pos":2,"neg":0.5},{"id":10917,"n":17,"subject":"English Language","stem":"Select the option that expresses the given sentence in indirect voice.\nShe will tell him, "I have already booked the tickets."","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"She will tell him that she had already booked the tickets.","textHi":null,"imageUrl":null},{"key":"b","text":"She will tell him that she has already booked the tickets.","textHi":null,"imageUrl":null},{"key":"c","text":"She will tell him that she already booked the tickets.","textHi":null,"imageUrl":null},{"key":"d","text":"She will tell him that she would have booked the tickets.","textHi":null,"imageUrl":null}],"correct":"b","sol":"Direct to indirect speech\nThe reporting verb 'will tell' is in the future tense.\n $\"figure\"/$ \nWhen the reporting verb is in the present or the future, the tense of the reported speech is not changed at all; only the pronoun is adjusted.\nSo 'I have already booked' simply becomes 'she has already booked', giving 'She will tell him that she has already booked the tickets'.\nHence, option (b) is the most appropriate answer.","solHi":null,"pos":2,"neg":0.5},{"id":10918,"n":18,"subject":"English Language","stem":"Choose the most suitable option to replace the highlighted part of the sentence:\nRadhika, the artist and sculptor, were displaying her art at the gallery.","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"are displaying her art at the gallery","textHi":null,"imageUrl":null},{"key":"b","text":"where displaying her art at the gallery","textHi":null,"imageUrl":null},{"key":"c","text":"is displaying her art at the gallery","textHi":null,"imageUrl":null},{"key":"d","text":"displays her art at the gallery","textHi":null,"imageUrl":null}],"correct":"c","sol":"Subject-verb agreement\nThe article 'the' is used only once before 'artist and sculptor', which shows that the artist and the sculptor are one and the same person, Radhika.\nThe words between the commas are only an appositive describing Radhika; an appositive can never make the verb plural.\nThe subject is therefore singular and needs 'is displaying', a reading confirmed by the singular possessive 'her'.\n'are' and 'where' are plainly wrong, and 'displays' destroys the continuous sense of the original sentence.\nHence, option (c) is the most appropriate answer.","solHi":null,"pos":2,"neg":0.5},{"id":10919,"n":19,"subject":"English Language","stem":"Choose the most suitable option to replace the highlighted part of the sentence:\nIt is hard to identify the timber because its grain patterns are similar to any oak tree.","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"are similar to all trees","textHi":null,"imageUrl":null},{"key":"b","text":"are similar to those of any oak tree","textHi":null,"imageUrl":null},{"key":"c","text":"is similar to those of any other oak tree","textHi":null,"imageUrl":null},{"key":"d","text":"is similar to those of any oak trees","textHi":null,"imageUrl":null}],"correct":"b","sol":"Faulty comparison\nA comparison must be made between things of the same kind, so the grain patterns of the timber have to be compared with the grain patterns of an oak tree, not with the tree itself.\nThe phrase 'those of' stands for 'the grain patterns of' and keeps the comparison parallel without repeating the words.\nThe subject 'its grain patterns' is plural, so the plural verb 'are' must be retained; options (c) and (d) put the singular 'is'.\nOption (a) drops the oak altogether and compares the timber with all trees, which changes the meaning.\nHence, 'are similar to those of any oak tree', option (b), is the most appropriate answer.","solHi":null,"pos":2,"neg":0.5},{"id":10920,"n":20,"subject":"English Language","stem":"Choose the correct passive voice transformation of the sentence:\nThe experienced chef has prepared a delicious and healthy meal to satisfy the hungry guests.","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"A delicious and healthy meal was prepared by the experienced chef to satisfy the hungry guests.","textHi":null,"imageUrl":null},{"key":"b","text":"A delicious and healthy meal has been prepared by the experienced chef to satisfy the hungry guests.","textHi":null,"imageUrl":null},{"key":"c","text":"A delicious and healthy meal has been being prepared by the experienced chef to satisfy the hungry guests.","textHi":null,"imageUrl":null},{"key":"d","text":"A delicious and healthy meal is prepared by the experienced chef to satisfy the hungry guests.","textHi":null,"imageUrl":null}],"correct":"b","sol":"Active to passive voice\nThe active sentence is in the present perfect tense: 'has prepared'.\n $\"figure\"/$ \nThe object 'a delicious and healthy meal' becomes the subject, 'has prepared' becomes 'has been prepared', and the doer takes 'by' before it.\nThe infinitive phrase 'to satisfy the hungry guests' is left untouched, so option (b) is the exact conversion; (a), (c) and (d) all change the tense.\nHence, option (b) is the most appropriate answer.","solHi":null,"pos":2,"neg":0.5},{"id":10921,"n":21,"subject":"English Language","stem":"Choose the correct passive voice transformation of the sentence:\nWhat had the authorities organized to manage the traffic flow before the festival began?","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"What was organized by the authorities to manage the traffic flow before the festival began?","textHi":null,"imageUrl":null},{"key":"b","text":"What had been organized by the authorities to manage the traffic flow before the festival began?","textHi":null,"imageUrl":null},{"key":"c","text":"What has been organized by the authorities to manage the traffic flow before the festival began?","textHi":null,"imageUrl":null},{"key":"d","text":"What had been organizing by the authorities to manage the traffic flow before the festival began?","textHi":null,"imageUrl":null}],"correct":"b","sol":"Active to passive voice\nThe active sentence is a question in the past perfect tense — 'had + V3' (had organized) — and it opens with the object word 'What'.\nRule: active 'had + V3' becomes passive 'had been + V3', and the doer 'the authorities' moves into a 'by' phrase.\nSo 'What had the authorities organized …?' becomes 'What had been organized by the authorities …?'\nOption (a) drops the perfect form ('was organized') and option (c) shifts it to the present perfect ('has been organized'), so both change the time of the action.\nOption (d) writes 'had been organizing', which is an active continuous form and can never be a passive.","solHi":null,"pos":2,"neg":0.5},{"id":10922,"n":22,"subject":"English Language","stem":"Select the option that expresses the given sentence in direct voice.\nThe strict coach, with a loud voice, said that he had warned that lazy player many times in the past.","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"The strict coach said, "I warned that lazy player many times in the past."","textHi":null,"imageUrl":null},{"key":"b","text":"The strict coach said, "He had warned that lazy player many times in the past."","textHi":null,"imageUrl":null},{"key":"c","text":"The strict coach said, "I have warned this lazy player many times in the past.'","textHi":null,"imageUrl":null},{"key":"d","text":"The strict coach said, "I had warned this lazy player many times in the past.'","textHi":null,"imageUrl":null}],"correct":"c","sol":"Indirect to direct speech\nTo move from indirect to direct speech, drop 'that', put the speaker's exact words inside inverted commas and undo every backshift.\nThe reporting verb 'said' is in the past, so the reported past perfect 'had warned' must come from the present perfect 'have warned'.\n'He' stands for the coach himself, so in his own words the pronoun becomes 'I'.\nThe distant demonstrative 'that lazy player' was produced by the shift, so it goes back to the near form 'this lazy player'.\nOnly option (c) makes all three changes: The strict coach said, "I have warned this lazy player many times in the past."\nOption (a) keeps 'that' and uses the simple past, option (b) keeps the third-person 'He', and option (d) leaves the verb in the past perfect.","solHi":null,"pos":2,"neg":0.5},{"id":10923,"n":23,"subject":"English Language","stem":"Select the option that expresses the given sentence in direct voice.\nThe coach told the players that their dedication had been remarkable, but that they had to now train for the finals which was a tough battle, and he was sure that they would win it.","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":""Your dedication was remarkable, but you must now train for the finals which is a tough battle, and I am sure that you will win it," the coach said to the players.","textHi":null,"imageUrl":null},{"key":"b","text":""Your dedication has been remarkable, but you have to now train for the finals which is a tough battle, and I am sure that you will win it," the coach said to the players.","textHi":null,"imageUrl":null},{"key":"c","text":""Your dedication has been remarkable, but you must now train for the finals which is a tough battle, and I am sure that you will win it," the coach said to the players.","textHi":null,"imageUrl":null},{"key":"d","text":""Their dedication was remarkable, but they had to now train for the finals which was a tough battle, and he was sure that they would win it," the coach said to the players.","textHi":null,"imageUrl":null}],"correct":"c","sol":"$2d","solHi":null,"pos":2,"neg":0.5},{"id":10924,"n":24,"subject":"English Language","stem":"Rearrange the following sentence parts to form a meaningful and grammatically correct paragraph:\nP. She carefully measured the dry ingredients and sifted them into a large mixing bowl.\nQ. She whisked in the eggs and melted butter until the batter was smooth and creamy.\nR. She poured the mixture into a tin and baked it in the oven until it was golden brown.\nS. The cake was finally ready to be served and looked absolutely delicious for the party.","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"Q, R, P, S","textHi":null,"imageUrl":null},{"key":"b","text":"S, Q, R, P","textHi":null,"imageUrl":null},{"key":"c","text":"P, Q, R, S","textHi":null,"imageUrl":null},{"key":"d","text":"P, S, R, Q","textHi":null,"imageUrl":null}],"correct":"c","sol":"Para jumble\nThe paragraph describes the baking of a cake, so the parts must follow the order in which the work is actually done.\nP opens it: the dry ingredients are measured and sifted, which is the first step of any baking.\nQ follows, because the eggs and melted butter are whisked into those dry ingredients to make the batter.\nR comes next: the batter that Q has just produced is poured into a tin and baked.\nS closes the paragraph by telling us that the finished cake is ready to be served.\nThe order is P, Q, R, S, which is option (c).","solHi":null,"pos":2,"neg":0.5},{"id":10925,"n":25,"subject":"English Language","stem":"Rearrange the following sentence parts to form a meaningful and grammatically correct paragraph:\nP. The problem highlights how excessive brightness can disrupt natural ecosystems and human biological rhythms.\nQ. In many urban environments, citizens are increasingly exposed to high levels of artificial light during the night.\nR. This environmental issue is formally identified by scientists as "light pollution."\nS. It suggests that while we require illumination for safety, an excess of it can be biologically harmful.","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"S, R, P, Q","textHi":null,"imageUrl":null},{"key":"b","text":"P, R, Q, S","textHi":null,"imageUrl":null},{"key":"c","text":"R, S, P, Q","textHi":null,"imageUrl":null},{"key":"d","text":"Q, R, P, S","textHi":null,"imageUrl":null}],"correct":"d","sol":"Para jumble\nFirst find the part that can open the paragraph without depending on anything said earlier.\nQ does that: it introduces the situation, city dwellers exposed to strong artificial light at night.\nR follows, because 'This environmental issue' points straight back to that situation and gives it a name — 'light pollution'.\nP then speaks of 'The problem', the one just named, and states its effect on ecosystems and on human biological rhythms.\nS closes with 'It suggests …', drawing the balanced lesson from that problem.\nThe sequence is Q, R, P, S, which is option (d).","solHi":null,"pos":2,"neg":0.5},{"id":10926,"n":26,"subject":"General Intelligence","stem":"Here a statement is given followed by some conclusions, you have to choose the appropriate logical conclusion for the given statement.\nStatement : Online learning has become increasingly popular among students, allowing flexible study schedules and access to a wide range of resources. Schools have reduced classroom expenses and saved on physical infrastructure. However, some students face challenges with motivation and lack of peer interaction. Studies suggest that a blended learning model can combine the advantages of online and in-person education effectively.\nConclusions:\nI. Online learning always reduces the quality of education.\nII. Schools save money by adopting online learning methods.\nIII. Blended learning is an effective way to combine online and in-person education.\nQuestion: Which conclusion necessarily follnws?","stemHi":"यहाँ एक कथन दिया गया है जिसके बाद कुछ निष्कर्ष दिए गए हैं, आपको दिए गए कथन के लिए उपयुक्त तार्किक निष्कर्ष चुनना है।\nकथन : ऑनलाइन शिक्षा छात्रों के बीच निरंतर लोकप्रिय होती जा रही है, जो लचीली अध्ययन समय-सारणी और संसाधनों की विस्तृत शृंखला तक पहुँच उपलब्ध कराती है। विद्यालयों ने कक्षा-संबंधी व्यय घटाए हैं और भौतिक अवसंरचना पर बचत की है। तथापि, कुछ छात्रों को अभिप्रेरणा तथा सहपाठियों के साथ पारस्परिक संवाद के अभाव की चुनौतियों का सामना करना पड़ता है। अध्ययनों से संकेत मिलता है कि मिश्रित (blended) शिक्षण मॉडल ऑनलाइन और आमने-सामने की शिक्षा के लाभों को प्रभावी ढंग से संयोजित कर सकता है।\nनिष्कर्ष:\nI. ऑनलाइन शिक्षा सदैव शिक्षा की गुणवत्ता घटाती है।\nII. विद्यालय ऑनलाइन शिक्षण पद्धतियाँ अपनाकर धन की बचत करते हैं।\nIII. मिश्रित शिक्षण, ऑनलाइन और आमने-सामने की शिक्षा को संयोजित करने का एक प्रभावी तरीका है।\nप्रश्न: कौन-सा निष्कर्ष अनिवार्य रूप से निकलता है?","context":null,"contextHi":null,"options":[{"key":"a","text":"Only I follows","textHi":"केवल I निकलता है","imageUrl":null},{"key":"b","text":"Only II follows","textHi":"केवल II निकलता है","imageUrl":null},{"key":"c","text":"Only III follows","textHi":"केवल III निकलता है","imageUrl":null},{"key":"d","text":"Both II and III follow","textHi":"II और III दोनों निकलते हैं","imageUrl":null}],"correct":"d","sol":"Statement and conclusions\nA conclusion follows only if the statement itself carries it; anything stronger than the statement must be rejected.\n $\"figure\"/$ \nConclusion I says online learning 'always' reduces quality, but the statement reports difficulties only for 'some students', so this sweeping claim does not follow.\nConclusion II is stated directly — schools 'have reduced classroom expenses and saved on physical infrastructure', which is exactly saving money.\nConclusion III is stated as well — studies suggest a blended model can combine the advantages of online and in-person education effectively.\nSo II and III follow, and the answer is option (d).","solHi":"कथन और निष्कर्ष\nकोई निष्कर्ष तभी निकलता है जब कथन स्वयं उसे समाहित करता हो; कथन से अधिक व्यापक बात को अस्वीकार करना चाहिए।\n $\"figure\"/$ \nनिष्कर्ष I कहता है कि ऑनलाइन शिक्षा 'सदैव' गुणवत्ता घटाती है, जबकि कथन में कठिनाई केवल 'कुछ छात्रों' के लिए बताई गई है, अतः यह व्यापक दावा नहीं निकलता।\nनिष्कर्ष II सीधे कथन में है — विद्यालयों ने कक्षा-संबंधी व्यय घटाए हैं और भौतिक अवसंरचना पर बचत की है, यही धन की बचत है।\nनिष्कर्ष III भी कथन में है — अध्ययनों के अनुसार मिश्रित मॉडल ऑनलाइन और आमने-सामने की शिक्षा के लाभों को प्रभावी ढंग से संयोजित कर सकता है।\nअतः II और III निकलते हैं और उत्तर विकल्प (d) है।","pos":2,"neg":0.5},{"id":10927,"n":27,"subject":"General Intelligence","stem":"Each item describes a situation and is followed by four possible responses. Indicate the response you find most appropriate. Choose only one response for each item. The responses will be evaluated based on the level of appropriateness for the given situation.\nRohit owns a popular local café. A large franchise has offered to acquire 70% of his business. While the offer comes with a substantial financial benefit, Rohit will lose most control over daily operations and the unique personal touch that attracts his regular customers.\nQuestion: What is the best course of action?","stemHi":"प्रत्येक प्रश्न में एक परिस्थिति का वर्णन है और उसके बाद चार संभावित प्रतिक्रियाएँ दी गई हैं। जो प्रतिक्रिया आपको सर्वाधिक उपयुक्त लगे, उसे चुनिए। प्रत्येक प्रश्न के लिए केवल एक ही प्रतिक्रिया चुनिए। प्रतिक्रियाओं का मूल्यांकन दी गई परिस्थिति के लिए उनकी उपयुक्तता के स्तर के आधार पर किया जाएगा।\nRohit एक लोकप्रिय स्थानीय कैफ़े का स्वामी है। एक बड़ी फ़्रैंचाइज़ी ने उसके व्यवसाय का 70% अधिग्रहण करने का प्रस्ताव दिया है। यद्यपि इस प्रस्ताव के साथ पर्याप्त वित्तीय लाभ जुड़ा है, तथापि Rohit दैनिक संचालन पर अपना अधिकांश नियंत्रण तथा वह विशिष्ट व्यक्तिगत स्पर्श खो देगा जो उसके नियमित ग्राहकों को आकर्षित करता है।\nप्रश्न: सर्वोत्तम कार्यवाही क्या है?","context":null,"contextHi":null,"options":[{"key":"a","text":"Accept immediately for financial gain","textHi":"वित्तीय लाभ के लिए तुरंत स्वीकार कर लेना","imageUrl":null},{"key":"b","text":"Decline outright to retain full control","textHi":"पूर्ण नियंत्रण बनाए रखने के लिए सीधे अस्वीकार कर देना","imageUrl":null},{"key":"c","text":"Negotiate for a smaller stake and partial control","textHi":"कम हिस्सेदारी और आंशिक नियंत्रण के लिए बातचीत करना","imageUrl":null},{"key":"d","text":"Close the café and start a new business","textHi":"कैफ़े बंद करके नया व्यवसाय शुरू करना","imageUrl":null}],"correct":"c","sol":"Situation judgement\nIn a situation-judgement item, choose the response that protects the important interests on both sides instead of sacrificing one of them.\nRohit has two interests here: the money the franchise offers, and the personal touch that keeps his regular customers coming.\nSelling 70% hands over control, so option (a) secures the money but destroys the very thing that makes the café popular.\nOption (b) saves the character of the café but throws away a genuine chance to grow, and option (d) shuts down a business that is already successful.\nNegotiating a smaller stake lets Rohit take part of the investment and still run the café his own way, so option (c) is the best course of action.","solHi":"परिस्थिति-आधारित निर्णय\nपरिस्थिति-आधारित निर्णय के प्रश्न में वह प्रतिक्रिया चुनिए जो किसी एक पक्ष का बलिदान किए बिना दोनों पक्षों के महत्वपूर्ण हितों की रक्षा करे।\nयहाँ Rohit के दो हित हैं: फ़्रैंचाइज़ी से मिलने वाला धन, और वह व्यक्तिगत स्पर्श जिसके कारण उसके नियमित ग्राहक आते रहते हैं।\n70% बेचने का अर्थ है नियंत्रण सौंप देना, अतः विकल्प (a) धन तो दिला देता है किंतु वही विशेषता समाप्त कर देता है जो कैफ़े को लोकप्रिय बनाती है।\nविकल्प (b) कैफ़े का स्वरूप तो बचा लेता है परंतु विकास का वास्तविक अवसर गँवा देता है, और विकल्प (d) पहले से सफल व्यवसाय को ही बंद कर देता है।\nकम हिस्सेदारी के लिए बातचीत करने पर Rohit को निवेश का कुछ अंश भी मिलता है और कैफ़े अपने ढंग से चलाने का अवसर भी, अतः विकल्प (c) सर्वोत्तम कार्यवाही है।","pos":2,"neg":0.5},{"id":10928,"n":28,"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 '+', 'S' stands for '-, '%' stands for '+', '@' stands for 'x', then find the value of: 30 $ 4 @ 5 @ 5 = ?","stemHi":"इस प्रकार के प्रश्नों में विभिन्न गणितीय चिह्नों के स्थान पर प्रतीक दिए जाते हैं, तत्पश्चात किसी व्यंजक के मान की गणना करने अथवा सही/गलत समीकरण चुनने से संबंधित प्रश्न पूछा जाता है। आपको दिए गए समीकरण में वास्तविक चिह्न रखकर प्रश्न को आवश्यकतानुसार हल करना है। यदि '&' का अर्थ '+' है, 'S' का अर्थ '-' है, '%' का अर्थ '+' है, '@' का अर्थ 'x' है, तो निम्नलिखित का मान ज्ञात कीजिए: 30 $ 4 @ 5 @ 5 = ?","context":null,"contextHi":null,"options":[{"key":"a","text":"-49","textHi":null,"imageUrl":null},{"key":"b","text":"-35","textHi":null,"imageUrl":null},{"key":"c","text":"-60","textHi":null,"imageUrl":null},{"key":"d","text":"-70","textHi":null,"imageUrl":null}],"correct":"d","sol":"Symbol substitution\nPut the real signs in place of the symbols: the dollar symbol stands for a minus sign and '@' stands for a multiplication sign.\n $\"figure\"/$ \nThe expression therefore becomes

30 - 4 \times 5 \times 5

.\nBy BODMAS the multiplication is carried out first:

4 \times 5 \times 5 = 100

.\nSo the value is 30-100=-70.\nHence the answer is option (d).","solHi":"गणितीय चिह्न प्रतिस्थापन\nप्रतीकों के स्थान पर वास्तविक चिह्न रखिए: डॉलर चिह्न का अर्थ ऋण चिह्न है और '@' का अर्थ गुणा चिह्न है।\n $\"figure\"/$ \nअतः व्यंजक बन जाता है

30 - 4 \times 5 \times 5

।\nBODMAS के अनुसार पहले गुणा की जाएगी:

4 \times 5 \times 5 = 100

।\nअतः मान 30-100=-70 है।\nइसलिए सही विकल्प (d) है।","pos":2,"neg":0.5},{"id":10929,"n":29,"subject":"General Intelligence","stem":"A teammate in your project group becomes upset when tasks are reassigned at the last moment and stops participating in discussions.What is the most appropriate way to handle the situation?","stemHi":"आपके प्रोजेक्ट समूह का एक सदस्य तब नाराज़ हो जाता है जब अंतिम क्षणों में कार्यों का पुनर्आवंटन कर दिया जाता है और वह चर्चाओं में भाग लेना बंद कर देता है। इस स्थिति से निपटने का सर्वाधिक उपयुक्त तरीका क्या है?","context":null,"contextHi":null,"options":[{"key":"a","text":"Continue the work without involving them","textHi":"उन्हें सम्मिलित किए बिना कार्य जारी रखना","imageUrl":null},{"key":"b","text":"Criticize them for being too sensitive","textHi":"अत्यधिक संवेदनशील होने के लिए उनकी आलोचना करना","imageUrl":null},{"key":"c","text":"Remove them from the group quietly","textHi":"उन्हें चुपचाप समूह से हटा देना","imageUrl":null},{"key":"d","text":"Talk to them calmly, explain the reason for the change, and involve them in future planning","textHi":"उनसे शांतिपूर्वक बात करना, परिवर्तन का कारण समझाना तथा भविष्य की योजना में उन्हें सम्मिलित करना","imageUrl":null}],"correct":"d","sol":"Situation judgement\nA situation-judgement question is answered by the response that removes the cause of the upset and keeps the team working together.\nThe teammate is upset because the change was sudden and unexplained, not because the work itself is wrong.\nOptions (a) and (c) simply write the person off, and option (b) attacks them personally; none of the three repairs the working relationship.\nTalking calmly, giving the reason for the reassignment and bringing them into future planning removes the cause of the resentment and restores cooperation.\nSo option (d) is the most appropriate way to handle the situation.","solHi":"परिस्थिति-आधारित निर्णय\nपरिस्थिति-आधारित निर्णय के प्रश्न का उत्तर वही प्रतिक्रिया होती है जो नाराज़गी का कारण दूर करे और टीम को साथ मिलकर काम करते रहने दे।\nसदस्य इसलिए नाराज़ है कि परिवर्तन अचानक और बिना कारण बताए किया गया, इसलिए नहीं कि कार्य स्वयं गलत है।\nविकल्प (a) और (c) उस व्यक्ति को दरकिनार कर देते हैं तथा विकल्प (b) उस पर व्यक्तिगत आक्षेप करता है; इनमें से कोई भी कार्य-संबंध नहीं सुधारता।\nशांतिपूर्वक बात करना, पुनर्आवंटन का कारण बताना और भविष्य की योजना में उसे सम्मिलित करना नाराज़गी का कारण समाप्त कर सहयोग पुनः स्थापित करता है।\nअतः इस स्थिति से निपटने का सर्वाधिक उपयुक्त तरीका विकल्प (d) है।","pos":2,"neg":0.5},{"id":10930,"n":30,"subject":"General Intelligence","stem":"In a queue of 50 people, Ram is 14th from the front and Raju is 18th from the rear. How many people are standing between Ram and Raju ?","stemHi":"50 व्यक्तियों की एक पंक्ति में Ram आगे से 14वें स्थान पर है और Raju पीछे से 18वें स्थान पर है। Ram और Raju के बीच कितने व्यक्ति खड़े हैं?","context":null,"contextHi":null,"options":[{"key":"a","text":"19","textHi":null,"imageUrl":null},{"key":"b","text":"20","textHi":null,"imageUrl":null},{"key":"c","text":"18","textHi":null,"imageUrl":null},{"key":"d","text":"21","textHi":null,"imageUrl":null}],"correct":"c","sol":"Ranking in a queue\nBoth ranks must be counted from the same end before they can be compared.\nFormula:

position from front = total - position from rear + 1

.\nFor Raju: 50-18+1=33, so Raju is 33rd from the front.\n $\"figure\"/$ \nRam is 14th from the front, so the people standing between them occupy the 15th to the 32nd places.\nNumber of people between =33-14-1=18.\nHence the answer is option (c).","solHi":"पंक्ति में स्थान\nतुलना करने से पहले दोनों स्थानों को एक ही सिरे से गिनना आवश्यक है।\nसूत्र:

position from front = total - position from rear + 1

।\nRaju के लिए: 50-18+1=33, अतः Raju आगे से 33वें स्थान पर है।\n $\"figure\"/$ \nRam आगे से 14वें स्थान पर है, अतः दोनों के बीच खड़े व्यक्ति 15वें से 32वें स्थान तक हैं।\nबीच के व्यक्तियों की संख्या =33-14-1=18।\nइसलिए सही विकल्प (c) है।","pos":2,"neg":0.5},{"id":10931,"n":31,"subject":"General Intelligence","stem":"In each question below is given a statement followed by two courses of action numbered I and II. You have to assume everything in the statement to be true and on the basis of the information given in the statement, decide which of the suggested courses of action logically follow(s) for pursuing.\nStatement : Reports show that in rural areas, children are leaving primary schools due to a lack of quality in education.\nCourse of action 1 : The government needs to develop basic facilities and introduce incentive schemes.\nCourse of action II : Regular assessment of children's learning progress should be conducted.","stemHi":"नीचे दिए गए प्रत्येक प्रश्न में एक कथन दिया गया है जिसके बाद I और II क्रमांकित दो कार्यवाहियाँ दी गई हैं। आपको कथन में दी गई प्रत्येक बात को सत्य मानना है और कथन में दी गई जानकारी के आधार पर यह निर्णय करना है कि सुझाई गई कार्यवाहियों में से कौन-सी कार्यवाही अपनाने के लिए तार्किक रूप से अनुसरण करती है।\nकथन : रिपोर्टों से पता चलता है कि ग्रामीण क्षेत्रों में शिक्षा की गुणवत्ता के अभाव के कारण बच्चे प्राथमिक विद्यालय छोड़ रहे हैं।\nकार्यवाही 1 : सरकार को बुनियादी सुविधाएँ विकसित करनी चाहिए तथा प्रोत्साहन योजनाएँ आरंभ करनी चाहिए।\nकार्यवाही II : बच्चों की अधिगम प्रगति का नियमित मूल्यांकन किया जाना चाहिए।","context":null,"contextHi":null,"options":[{"key":"a","text":"Only I follows","textHi":"केवल I अनुसरण करती है","imageUrl":null},{"key":"b","text":"Only II follows","textHi":"केवल II अनुसरण करती है","imageUrl":null},{"key":"c","text":"Both follow","textHi":"दोनों अनुसरण करती हैं","imageUrl":null},{"key":"d","text":"Either I or II follows","textHi":"या तो I या II अनुसरण करती है","imageUrl":null}],"correct":"c","sol":"Statement and course of action\nA course of action follows when it attacks the cause named in the statement or prevents the harm the statement describes.\nThe statement names one cause: the poor quality of education is driving children out of rural primary schools.\nCourse of action I builds basic facilities and offers incentives, which improves the school itself and gives families a reason to send the children back, so it follows.\nCourse of action II checks each child's learning progress regularly, which is the standard way of finding weak teaching and correcting it, so it follows as well.\nThe two actions work on the same problem from different sides and do not rule each other out, so both follow and the answer is option (c).","solHi":"कथन और कार्यवाही\nकोई कार्यवाही तभी अनुसरण करती है जब वह कथन में बताए गए कारण पर प्रहार करे अथवा कथन में वर्णित हानि को रोके।\nकथन एक ही कारण बताता है: शिक्षा की खराब गुणवत्ता के कारण बच्चे ग्रामीण प्राथमिक विद्यालय छोड़ रहे हैं।\nकार्यवाही I बुनियादी सुविधाएँ विकसित करती है और प्रोत्साहन देती है, जिससे विद्यालय भी सुधरता है और परिवारों को बच्चों को पुनः भेजने का कारण भी मिलता है, अतः यह अनुसरण करती है।\nकार्यवाही II प्रत्येक बच्चे की अधिगम प्रगति का नियमित मूल्यांकन कराती है, जो कमजोर शिक्षण को पहचानकर सुधारने का प्रचलित उपाय है, अतः यह भी अनुसरण करती है।\nदोनों कार्यवाहियाँ एक ही समस्या पर भिन्न-भिन्न दिशाओं से कार्य करती हैं और परस्पर विरोधी नहीं हैं, अतः दोनों अनुसरण करती हैं और उत्तर विकल्प (c) है।","pos":2,"neg":0.5},{"id":10932,"n":32,"subject":"General Intelligence","stem":"Few of the letters are given followed by a question mark (?) these letters are following a specific pattern. You have to give the correct option which can replace question mark.\nWhich letter should come next in the following series:\nC, F, I, L, ?","stemHi":"कुछ अक्षर दिए गए हैं जिनके बाद एक प्रश्नवाचक चिह्न (?) है, ये अक्षर एक निश्चित पैटर्न का अनुसरण कर रहे हैं। आपको वह सही विकल्प बताना है जो प्रश्नवाचक चिह्न के स्थान पर आ सके।\nनिम्नलिखित शृंखला में अगला अक्षर कौन-सा आना चाहिए:\nC, F, I, L, ?","context":null,"contextHi":null,"options":[{"key":"a","text":"O","textHi":null,"imageUrl":null},{"key":"b","text":"P","textHi":null,"imageUrl":null},{"key":"c","text":"N","textHi":null,"imageUrl":null},{"key":"d","text":"Q","textHi":null,"imageUrl":null}],"correct":"a","sol":"Letter series\nWrite the position number of each letter and look at the gap between one letter and the next.\n $\"figure\"/$ \n

C (3) \to F (6) \to I (9) \to L (12)

, so every letter moves 3 places forward.\nThe next position is 12+3=15, and the 15th letter of the alphabet is O.\nHence the answer is option (a).","solHi":"अक्षर शृंखला\nप्रत्येक अक्षर का स्थान-अंक लिखिए और देखिए कि एक अक्षर से अगले अक्षर तक कितना अंतर है।\n $\"figure\"/$ \n

C (3) \to F (6) \to I (9) \to L (12)

, अर्थात प्रत्येक अक्षर 3 स्थान आगे बढ़ता है।\nअगला स्थान 12+3=15 है और वर्णमाला का 15वाँ अक्षर O है।\nइसलिए सही विकल्प (a) है।","pos":2,"neg":0.5},{"id":10933,"n":33,"subject":"General Intelligence","stem":"In this question some conditions or circumstances is provided to you, you have to make logical judgement according to mentioned circumstances and mark the correct judgement for question.\nA school principal has to select a class monitor. All students have good academic records, but one student is known for discipline, responsibility, and helping classmates. Who should be selected?","stemHi":"इस प्रश्न में आपको कुछ शर्तें अथवा परिस्थितियाँ दी गई हैं, आपको उल्लिखित परिस्थितियों के अनुसार तार्किक निर्णय करना है और प्रश्न के लिए सही निर्णय चिह्नित करना है।\nएक विद्यालय के प्रधानाचार्य को कक्षा-मॉनीटर का चयन करना है। सभी विद्यार्थियों का शैक्षणिक रिकॉर्ड अच्छा है, किंतु एक विद्यार्थी अनुशासन, उत्तरदायित्व और सहपाठियों की सहायता करने के लिए जाना जाता है। किसका चयन किया जाना चाहिए?","context":null,"contextHi":null,"options":[{"key":"a","text":"Student with highest marks","textHi":"सर्वाधिक अंक प्राप्त करने वाला विद्यार्थी","imageUrl":null},{"key":"b","text":"Student who participates in most competitions","textHi":"सर्वाधिक प्रतियोगिताओं में भाग लेने वाला विद्यार्थी","imageUrl":null},{"key":"c","text":"Student known for discipline and responsibility","textHi":"अनुशासन और उत्तरदायित्व के लिए जाना जाने वाला विद्यार्थी","imageUrl":null},{"key":"d","text":"Student who has been in the school the longest","textHi":"वह विद्यार्थी जो विद्यालय में सबसे लंबे समय से है","imageUrl":null}],"correct":"c","sol":"Logical judgement\nWhen every candidate is equal on one measure, the choice has to be made on the quality that the post itself demands.\nAll the students already have good academic records, so marks cannot separate them and option (a) is of no help.\nA class monitor has to keep order, take responsibility and help classmates, not win competitions or serve long years, so options (b) and (d) have nothing to do with the duty.\nOnly one student is described as disciplined, responsible and helpful, which is exactly the profile a monitor needs.\nSo option (c) is the correct judgement.","solHi":"तार्किक निर्णय\nजब सभी उम्मीदवार किसी एक कसौटी पर समान हों, तब चयन उसी गुण के आधार पर करना चाहिए जिसकी माँग पद स्वयं करता है।\nसभी विद्यार्थियों का शैक्षणिक रिकॉर्ड पहले से अच्छा है, अतः अंक उनमें अंतर नहीं कर सकते और विकल्प (a) सहायक नहीं है।\nकक्षा-मॉनीटर को अनुशासन बनाए रखना, उत्तरदायित्व लेना और सहपाठियों की सहायता करनी होती है, प्रतियोगिताएँ जीतना या लंबे समय तक विद्यालय में रहना नहीं, अतः विकल्प (b) और (d) इस दायित्व से असंबद्ध हैं।\nकेवल एक विद्यार्थी को अनुशासित, उत्तरदायी और सहायक बताया गया है, जो मॉनीटर के लिए अपेक्षित गुण हैं।\nइसलिए सही निर्णय विकल्प (c) है।","pos":2,"neg":0.5},{"id":10934,"n":34,"subject":"General Intelligence","stem":"Four meaningful words are given in the options. You have to check which of the following words cannot be formed from the letters of the word "ENVIRONMENT"?","stemHi":"विकल्पों में चार सार्थक शब्द दिए गए हैं। आपको यह जाँचना है कि निम्नलिखित में से कौन-सा शब्द "ENVIRONMENT" शब्द के अक्षरों से नहीं बनाया जा सकता?","context":null,"contextHi":null,"options":[{"key":"a","text":"METER","textHi":null,"imageUrl":null},{"key":"b","text":"IRON","textHi":null,"imageUrl":null},{"key":"c","text":"TONE","textHi":null,"imageUrl":null},{"key":"d","text":"RAIN","textHi":null,"imageUrl":null}],"correct":"d","sol":"Word formation\nList the letters available in ENVIRONMENT: E, N, V, I, R, O, N, M, E, N, T — there are two E's, three N's and no A at all.\n $\"figure\"/$ \nIRON needs I, R, O, N and TONE needs T, O, N, E; every one of those letters is present.\nMETER needs M, E, T, E, R, and since ENVIRONMENT contains two E's this word can also be formed.\nRAIN needs R, A, I, N, but the letter A does not occur in ENVIRONMENT.\nHence RAIN is the word that cannot be formed, and the answer is option (d).","solHi":"शब्द-निर्माण\nENVIRONMENT में उपलब्ध अक्षर लिखिए: E, N, V, I, R, O, N, M, E, N, T — इसमें दो E, तीन N हैं और A बिल्कुल नहीं है।\n $\"figure\"/$ \nIRON के लिए I, R, O, N तथा TONE के लिए T, O, N, E चाहिए; ये सभी अक्षर उपलब्ध हैं।\nMETER के लिए M, E, T, E, R चाहिए और ENVIRONMENT में दो E होने के कारण यह शब्द भी बनाया जा सकता है।\nRAIN के लिए R, A, I, N चाहिए, किंतु अक्षर A, ENVIRONMENT में है ही नहीं।\nअतः RAIN वह शब्द है जो नहीं बनाया जा सकता और उत्तर विकल्प (d) है।","pos":2,"neg":0.5},{"id":10935,"n":35,"subject":"General Intelligence","stem":"A mirror is placed on the line AB. Out of the option figures which figure will be the right image of the question figure?\n $\"figure\"/$ ","stemHi":"रेखा AB पर एक दर्पण 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":"c","sol":"$2e","solHi":"दर्पण प्रतिबिंब\nदर्पण AB आकृति के बगल में ऊर्ध्वाधर रखा है, अतः प्रतिबिंब में बाएँ-दाएँ का उलटाव होगा; ऊपर-नीचे कुछ नहीं बदलेगा और कोई भाग घूमेगा भी नहीं।\n $\"figure\"/$ \nछायांकित त्रिभुजाकार ध्वज ऊर्ध्वाधर रेखा के बाईं ओर है और बाईं ओर संकेत करता है, अतः प्रतिबिंब में वह उसी रेखा के दाईं ओर होकर दाईं ओर संकेत करेगा।\nसादा Z-आकार की रूपरेखा वृत्त के निचले दाएँ भाग में है, अतः प्रतिबिंब में वह निचले बाएँ भाग में उलटे Z के रूप में दिखाई देगी।\nतिरछी जीवा ऊपर दाएँ से नीचे बाएँ जाती है, अतः प्रतिबिंब में वह ऊपर बाएँ से नीचे दाएँ जाएगी।\nविकल्प (c) में ये तीनों परिवर्तन एक साथ हैं और प्रत्येक भाग की ऊँचाई भी वही है, अतः यही अभीष्ट दर्पण प्रतिबिंब है।\nविकल्प (d) प्रश्न आकृति को ज्यों का त्यों दोहराता है, विकल्प (b) में छायांकित ध्वज परावर्तित होने के स्थान पर घुमा दिया गया है, और विकल्प (a) में उलटा Z उस स्थान पर नहीं है जहाँ परावर्तन उसे रखता है।","pos":2,"neg":0.5},{"id":10936,"n":36,"subject":"General Intelligence","stem":"In this type of question, a problem situation is given, followed by some options to solve it. You have to choose the most appropriate solution.\nDuring the school sports day, two teams want to use the main playground at the same time. What should the event coordinator do ?","stemHi":"इस प्रकार के प्रश्न में एक समस्यात्मक परिस्थिति दी जाती है, जिसके बाद उसे हल करने के लिए कुछ विकल्प दिए जाते हैं। आपको सर्वाधिक उपयुक्त समाधान चुनना है।\nविद्यालय के खेल दिवस के दौरान, दो टीमें एक ही समय पर मुख्य खेल मैदान का उपयोग करना चाहती हैं। कार्यक्रम संयोजक को क्या करना चाहिए?","context":null,"contextHi":null,"options":[{"key":"a","text":"Allow only the team that was already practicing","textHi":"केवल उसी टीम को अनुमति दें जो पहले से अभ्यास कर रही थी","imageUrl":null},{"key":"b","text":"Fairly divide the time between both teams and schedule the program","textHi":"दोनों टीमों के बीच समय का निष्पक्ष विभाजन करके कार्यक्रम निर्धारित करें","imageUrl":null},{"key":"c","text":"Cancel one team's program completely","textHi":"एक टीम का कार्यक्रम पूर्णतः रद्द कर दें","imageUrl":null},{"key":"d","text":"Decide randomly by tossing a coin","textHi":"सिक्का उछालकर यादृच्छिक रूप से निर्णय लें","imageUrl":null}],"correct":"b","sol":"Problem solving\nIn a clash of this kind the best solution is the one that treats both sides fairly and still lets the event take place.\nOption (a) rewards one team only because it reached the ground first, and option (c) cancels one team's programme altogether — both are unfair to a team that has done nothing wrong.\nOption (d) leaves the decision to chance, which settles the clash but gives the losing team no reason it can accept.\nDividing the available time between the two teams and fixing a schedule gives each of them the main ground and removes the overlap completely.\nSo the event coordinator should do what option (b) says.","solHi":"समस्या-समाधान\nइस प्रकार के टकराव में सर्वोत्तम समाधान वही है जो दोनों पक्षों के साथ निष्पक्ष व्यवहार करे और कार्यक्रम भी होने दे।\nविकल्प (a) केवल इसलिए एक टीम को पुरस्कृत करता है कि वह पहले मैदान पर पहुँच गई, और विकल्प (c) एक टीम का कार्यक्रम ही रद्द कर देता है — दोनों उस टीम के साथ अन्याय हैं जिसका कोई दोष नहीं।\nविकल्प (d) निर्णय संयोग पर छोड़ देता है, जिससे टकराव तो समाप्त होता है किंतु हारने वाली टीम को कोई स्वीकार्य कारण नहीं मिलता।\nउपलब्ध समय को दोनों टीमों में बाँटकर कार्यक्रम निर्धारित करने पर दोनों को मुख्य मैदान मिल जाता है और समय का टकराव पूरी तरह समाप्त हो जाता है।\nअतः कार्यक्रम संयोजक को वही करना चाहिए जो विकल्प (b) में कहा गया है।","pos":2,"neg":0.5},{"id":10937,"n":37,"subject":"General Intelligence","stem":"In this type of questions, question is provided with some issues / disputes / problem, followed by few methods to resolve the problem in statement choosing the appropriate problem solving method that can be implemented.\nThere are frequent delays in city garbage collection, and many areas are being missed. What would be the most logical improvement?","stemHi":"इस प्रकार के प्रश्नों में कुछ मुद्दे / विवाद / समस्याएँ दी जाती हैं, जिनके बाद कथन में उस समस्या को हल करने की कुछ विधियाँ दी जाती हैं; आपको वह उपयुक्त समस्या-समाधान विधि चुननी है जिसे लागू किया जा सके।\nशहर में कचरा संग्रहण में बार-बार देरी होती है और कई क्षेत्र छूट जाते हैं। सबसे तार्किक सुधार क्या होगा?","context":null,"contextHi":null,"options":[{"key":"a","text":"Redesign the collection route based on area density and shortest paths","textHi":"क्षेत्र-घनत्व तथा न्यूनतम दूरी के मार्गों के आधार पर संग्रहण मार्ग का पुनर्निर्धारण करना","imageUrl":null},{"key":"b","text":"Increase fines for residents","textHi":"निवासियों पर जुर्माना बढ़ाना","imageUrl":null},{"key":"c","text":"Continue the same schedule to avoid confusion","textHi":"भ्रम से बचने के लिए वही समय-सारणी जारी रखना","imageUrl":null},{"key":"d","text":"Add more trucks without planning","textHi":"बिना किसी योजना के और ट्रक जोड़ना","imageUrl":null}],"correct":"a","sol":"Problem solving\nA problem-solving item is answered by the option that removes the cause of the problem, not by one that merely reacts to it.\nThe cause here lies in the way the collection is organised: the route does not match where the waste actually is, so the trips run late and some areas are never reached.\nRedesigning the route according to the density of each area and the shortest paths lets the same trucks cover every area within the time available.\nRaising fines punishes residents who are not the cause, keeping the old schedule leaves the problem exactly as it is, and adding trucks without planning raises the cost while the faulty route remains.\nHence option (a) is the most logical improvement.","solHi":"समस्या-समाधान\nसमस्या-समाधान के प्रश्न का उत्तर वही विकल्प होता है जो समस्या के कारण को दूर करे, न कि वह जो केवल प्रतिक्रिया करे।\nयहाँ कारण संग्रहण की व्यवस्था में है: मार्ग वहाँ से मेल नहीं खाता जहाँ कचरा वास्तव में है, इसलिए फेरे देर से पूरे होते हैं और कुछ क्षेत्रों तक पहुँच ही नहीं होती।\nप्रत्येक क्षेत्र के घनत्व और न्यूनतम दूरी के अनुसार मार्ग का पुनर्निर्धारण करने पर उतने ही ट्रक निर्धारित समय में सभी क्षेत्रों को कवर कर लेते हैं।\nजुर्माना बढ़ाना उन निवासियों को दंडित करता है जो कारण नहीं हैं, पुरानी समय-सारणी बनाए रखने से समस्या ज्यों की त्यों रहती है, और बिना योजना के ट्रक बढ़ाने से व्यय बढ़ता है जबकि दोषपूर्ण मार्ग बना रहता है।\nइसलिए सबसे तार्किक सुधार विकल्प (a) है।","pos":2,"neg":0.5},{"id":10938,"n":38,"subject":"General Intelligence","stem":"In each of the following questions, there is a certain relationship between two given letter pairs on one side of (::) and pair is given on another side of (:) where another pair is to be found from the given alternatives, having the same relationship with this pair as the pairs of the given pair bear. Choose the best alternative.\n

SU : QW : : VW :

?","stemHi":"निम्नलिखित प्रत्येक प्रश्न में (::) के एक ओर दिए गए दो अक्षर-युग्मों के बीच एक निश्चित संबंध है और (:) की दूसरी ओर एक युग्म दिया गया है, जिसके लिए दिए गए विकल्पों में से ऐसा युग्म ज्ञात करना है जिसका इस युग्म से वही संबंध हो जो दिए गए युग्मों के बीच है। सर्वोत्तम विकल्प चुनिए।\n

SU : QW : : VW :

?","context":null,"contextHi":null,"options":[{"key":"a","text":"YT","textHi":null,"imageUrl":null},{"key":"b","text":"WT","textHi":null,"imageUrl":null},{"key":"c","text":"WS","textHi":null,"imageUrl":null},{"key":"d","text":"TY","textHi":null,"imageUrl":null}],"correct":"d","sol":"Letter pair analogy\nWrite the position number of every letter and compare the two members of the given pair one by one.\n $\"figure\"/$ \n

S (19) \to Q (17)

is a step of -2, while

U (21) \to W (23)

is a step of +2.\nApply the same two steps to VW: V(22)-2=T(20) and W(23)+2=Y(25).\nSo the required pair is TY, which is option (d).","solHi":"अक्षर-युग्म सादृश्य\nप्रत्येक अक्षर का स्थान-अंक लिखिए और दिए गए युग्म के दोनों अक्षरों की एक-एक करके तुलना कीजिए।\n $\"figure\"/$ \n

S (19) \to Q (17)

में -2 का परिवर्तन है, जबकि

U (21) \to W (23)

में +2 का परिवर्तन है।\nयही दोनों परिवर्तन VW पर लागू कीजिए: V(22)-2=T(20) तथा W(23)+2=Y(25)।\nअतः अभीष्ट युग्म TY है, जो विकल्प (d) है।","pos":2,"neg":0.5},{"id":10939,"n":39,"subject":"General Intelligence","stem":"Find the next element that replace the ? Logically\n7, 19, 67, 259, ?","stemHi":"उस अगले पद को ज्ञात कीजिए जो ? के स्थान पर तार्किक रूप से आएगा\n7, 19, 67, 259, ?","context":null,"contextHi":null,"options":[{"key":"a","text":"1036","textHi":null,"imageUrl":null},{"key":"b","text":"1027","textHi":null,"imageUrl":null},{"key":"c","text":"1045","textHi":null,"imageUrl":null},{"key":"d","text":"1025","textHi":null,"imageUrl":null}],"correct":"b","sol":"$2f","solHi":"$30","pos":2,"neg":0.5},{"id":10940,"n":40,"subject":"General Intelligence","stem":"In three of the following pairs are same by same pattern except one pair. Which pair does not follow this pattern?","stemHi":"निम्नलिखित युग्मों में से तीन युग्म एक ही पैटर्न पर आधारित हैं, केवल एक युग्म को छोड़कर। कौन-सा युग्म इस पैटर्न का अनुसरण नहीं करता?","context":null,"contextHi":null,"options":[{"key":"a","text":"4,9","textHi":null,"imageUrl":null},{"key":"b","text":"9,16","textHi":null,"imageUrl":null},{"key":"c","text":"49,64","textHi":null,"imageUrl":null},{"key":"d","text":"81, 121","textHi":null,"imageUrl":null}],"correct":"d","sol":"$31","solHi":"$32","pos":2,"neg":0.5},{"id":10941,"n":41,"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":"प्रश्न आकृतियों में नीचे दर्शाए अनुसार कागज़ के एक टुकड़े को मोड़ा तथा छेदा 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":"d","sol":"$33","solHi":"$34","pos":2,"neg":0.5},{"id":10942,"n":42,"subject":"General Intelligence","stem":"From the given option figures, select the one in which the question figure is hidden/embedded. (Rotation is not allowed)\n $\"figure\"/$ ","stemHi":"दी गई विकल्प आकृतियों में से उस आकृति का चयन कीजिए जिसमें प्रश्न आकृति छिपी/अंतर्निहित है। (घुमाने की अनुमति नहीं है)\n $\"figure\"/$ ","context":null,"contextHi":null,"options":[{"key":"a","text":" $\"figure\"/$ ","textHi":null,"imageUrl":null},{"key":"b","text":" $\"figure\"/$ ","textHi":null,"imageUrl":null},{"key":"c","text":" $\"figure\"/$ ","textHi":null,"imageUrl":null},{"key":"d","text":" $\"figure\"/$ ","textHi":null,"imageUrl":null}],"correct":"b","sol":"$35","solHi":"$36","pos":2,"neg":0.5},{"id":10943,"n":43,"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 उस संख्या का चयन कीजिए जिसे प्रश्नवाचक चिह्न (?) के स्थान पर रखा जा सकता है।","context":null,"contextHi":null,"options":[{"key":"a","text":"24","textHi":null,"imageUrl":null},{"key":"b","text":"20","textHi":null,"imageUrl":null},{"key":"c","text":"18","textHi":null,"imageUrl":null},{"key":"d","text":"19","textHi":null,"imageUrl":null}],"correct":"a","sol":"$37","solHi":"$38","pos":2,"neg":0.5},{"id":10944,"n":44,"subject":"General Intelligence","stem":"In the figure given below the circle represents lions, the rectangle represents deers and the triangle represents rabbits. Number in each area represents the number of items in that area.\nHow many rabbits are neither lions nor deers?\n $\"figure\"/$ ","stemHi":"नीचे दी गई आकृति में वृत्त शेरों को, आयत हिरणों को तथा त्रिभुज खरगोशों को निरूपित करता है। प्रत्येक क्षेत्र में लिखी संख्या उस क्षेत्र की वस्तुओं की संख्या दर्शाती है।\nकितने खरगोश न तो शेर हैं और न ही हिरण हैं?\n $\"figure\"/$ ","context":null,"contextHi":null,"options":[{"key":"a","text":"5","textHi":null,"imageUrl":null},{"key":"b","text":"8","textHi":null,"imageUrl":null},{"key":"c","text":"1","textHi":null,"imageUrl":null},{"key":"d","text":"3","textHi":null,"imageUrl":null}],"correct":"b","sol":"Venn diagram counting\nThe triangle stands for the rabbits, the circle for the lions and the rectangle for the deers.\nRabbits that are neither lions nor deers must lie inside the triangle but outside the circle and outside the rectangle at the same time.\nOnly one region satisfies all three conditions — the lowest part of the triangle, which hangs below the rectangle and clear of the circle.\nThat region carries the number 8, so 8 rabbits are neither lions nor deers.\nThe 6 just above it is still inside the rectangle, so those rabbits are deers as well and must not be counted.","solHi":"वेन आरेख गणना\nत्रिभुज खरगोशों को, वृत्त शेरों को तथा आयत हिरणों को निरूपित करता है।\nजो खरगोश न शेर हैं और न हिरण, उन्हें एक ही साथ त्रिभुज के भीतर तथा वृत्त और आयत दोनों के बाहर होना चाहिए।\nइन तीनों शर्तों को केवल एक ही क्षेत्र पूरा करता है — त्रिभुज का सबसे निचला भाग, जो आयत के नीचे और वृत्त से बाहर पड़ता है।\nउस क्षेत्र में संख्या 8 लिखी है, अतः 8 खरगोश न तो शेर हैं और न ही हिरण।\nउसके ठीक ऊपर लिखी 6 अब भी आयत के भीतर है, अतः वे खरगोश हिरण भी हैं और उन्हें नहीं गिना जाएगा।","pos":2,"neg":0.5},{"id":10945,"n":45,"subject":"General Intelligence","stem":"Identify the diagram that best represents the relationship among the given classes.\nOmnivore, Bear, Cattle","stemHi":"उस आरेख की पहचान कीजिए जो दिए गए वर्गों के बीच के संबंध का सर्वोत्तम निरूपण करता है।\nसर्वाहारी, भालू, मवेशी","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":"Class relationship diagram\nA bear eats both plants and flesh, so every bear is an omnivore; the class 'Bear' lies wholly inside the class 'Omnivore'.\nCattle are grazing animals that eat only plants, so no head of cattle is an omnivore and none is a bear.\n $\"figure\"/$ \nThe diagram therefore needs a small circle drawn completely inside a larger circle, with a third circle standing entirely apart from both.\nOption (b) shows exactly this arrangement, so it is the correct diagram.\nOption (a) puts both smaller circles inside the big one, which would make cattle omnivores, and option (d) keeps all three apart, which would deny that a bear is an omnivore.","solHi":"वर्ग-संबंध आरेख\nभालू वनस्पति और मांस दोनों खाता है, अतः प्रत्येक भालू सर्वाहारी है; वर्ग 'भालू' पूर्णतः वर्ग 'सर्वाहारी' के भीतर आता है।\nमवेशी चरने वाले प्राणी हैं जो केवल वनस्पति खाते हैं, अतः कोई भी मवेशी न सर्वाहारी है और न भालू।\n $\"figure\"/$ \nइसलिए आरेख में एक छोटा वृत्त पूरी तरह एक बड़े वृत्त के भीतर होना चाहिए तथा एक तीसरा वृत्त दोनों से पूर्णतः अलग खड़ा होना चाहिए।\nविकल्प (b) में ठीक यही व्यवस्था है, अतः यही सही आरेख है।\nविकल्प (a) में दोनों छोटे वृत्त बड़े वृत्त के भीतर हैं, जिससे मवेशी भी सर्वाहारी हो जाते, तथा विकल्प (d) में तीनों अलग-अलग हैं, जिससे भालू के सर्वाहारी होने का ही खंडन हो जाता।","pos":2,"neg":0.5},{"id":10946,"n":46,"subject":"General Intelligence","stem":"Select the option that represents the correct order of the given words as they would appear in an English dictionary.\n1. Astronomy\n2. Astrologer\n3. Asteroid\n4. Astrological\n5. Astronaut","stemHi":"उस विकल्प का चयन कीजिए जो दिए गए शब्दों का वह सही क्रम निरूपित करता है जिसमें वे अंग्रेज़ी शब्दकोश में आएँगे।\n1. Astronomy\n2. Astrologer\n3. Asteroid\n4. Astrological\n5. Astronaut","context":null,"contextHi":null,"options":[{"key":"a","text":"5, 2, 3, 4, 1","textHi":null,"imageUrl":null},{"key":"b","text":"2, 1, 4, 3, 5","textHi":null,"imageUrl":null},{"key":"c","text":"3, 4, 2, 1, 5","textHi":null,"imageUrl":null},{"key":"d","text":"3, 2, 4, 5, 1","textHi":null,"imageUrl":null}],"correct":"d","sol":"Dictionary order\nAll five words begin with 'Ast', so compare the fourth letter first.\nOnly Asteroid has 'e' there, and 'e' comes before 'r', so Asteroid (3) is first.\nThe rest begin with 'Astro'. Compare the sixth letter: 'l' of Astrologer and Astrological comes before 'n' of Astronaut and Astronomy.\nAstrologer and Astrological agree up to 'Astrolog'; then 'e' comes before 'i', so Astrologer (2) precedes Astrological (4).\nAstronaut and Astronomy agree up to 'Astron'; then 'a' comes before 'o', so Astronaut (5) precedes Astronomy (1).\n $\"figure\"/$ \nThe order is therefore 3, 2, 4, 5, 1.","solHi":"शब्दकोश क्रम\nपाँचों शब्द 'Ast' से आरंभ होते हैं, अतः पहले चौथे अक्षर की तुलना कीजिए।\nवहाँ केवल Asteroid में 'e' है और 'e', 'r' से पहले आता है, अतः Asteroid (3) सबसे पहले है।\nशेष शब्द 'Astro' से आरंभ होते हैं। छठे अक्षर की तुलना कीजिए: Astrologer तथा Astrological का 'l', Astronaut तथा Astronomy के 'n' से पहले आता है।\nAstrologer और Astrological 'Astrolog' तक समान हैं; इसके बाद 'e', 'i' से पहले आता है, अतः Astrologer (2), Astrological (4) से पहले आएगा।\nAstronaut और Astronomy 'Astron' तक समान हैं; इसके बाद 'a', 'o' से पहले आता है, अतः Astronaut (5), Astronomy (1) से पहले आएगा।\n $\"figure\"/$ \nअतः सही क्रम 3, 2, 4, 5, 1 है।","pos":2,"neg":0.5},{"id":10947,"n":47,"subject":"General Intelligence","stem":"Which option figure will complete the pattern in the question figure? (Rotation is not allowed)\n $\"figure\"/$ ","stemHi":"प्रश्न आकृति के प्रतिरूप को कौन-सी विकल्प आकृति पूर्ण करेगी? (घुमाने की अनुमति नहीं है)\n $\"figure\"/$ ","context":null,"contextHi":null,"options":[{"key":"a","text":" $\"figure\"/$ ","textHi":null,"imageUrl":null},{"key":"b","text":" $\"figure\"/$ ","textHi":null,"imageUrl":null},{"key":"c","text":" $\"figure\"/$ ","textHi":null,"imageUrl":null},{"key":"d","text":" $\"figure\"/$ ","textHi":null,"imageUrl":null}],"correct":"a","sol":"$39","solHi":"$3a","pos":2,"neg":0.5},{"id":10948,"n":48,"subject":"General Intelligence","stem":"Select the option that is related to the third figure in the same way as the second figure is related to the first figure.\n $\"figure\"/$ ","stemHi":"उस विकल्प का चयन कीजिए जो तीसरी आकृति से उसी प्रकार संबंधित है जिस प्रकार दूसरी आकृति पहली आकृति से संबंधित है।\n $\"figure\"/$ ","context":null,"contextHi":null,"options":[{"key":"a","text":" $\"figure\"/$ ","textHi":null,"imageUrl":null},{"key":"b","text":" $\"figure\"/$ ","textHi":null,"imageUrl":null},{"key":"c","text":" $\"figure\"/$ ","textHi":null,"imageUrl":null},{"key":"d","text":" $\"figure\"/$ ","textHi":null,"imageUrl":null}],"correct":"a","sol":"$3b","solHi":"$3c","pos":2,"neg":0.5},{"id":10949,"n":49,"subject":"General Intelligence","stem":"In the following figure series, select the figure which can be placed at the sign of question mark (?) from the given alternatives.\n $\"figure\"/$ ","stemHi":"निम्नलिखित आकृति शृंखला में, दिए गए विकल्पों में से उस आकृति का चयन कीजिए जिसे प्रश्नवाचक चिह्न (?) के स्थान पर रखा जा सकता है।\n $\"figure\"/$ ","context":null,"contextHi":null,"options":[{"key":"a","text":" $\"figure\"/$ ","textHi":null,"imageUrl":null},{"key":"b","text":" $\"figure\"/$ ","textHi":null,"imageUrl":null},{"key":"c","text":" $\"figure\"/$ ","textHi":null,"imageUrl":null},{"key":"d","text":" $\"figure\"/$ ","textHi":null,"imageUrl":null}],"correct":"c","sol":"Figure series\nTrack each corner from one box to the next instead of looking at the symbols one at a time.\n $\"figure\"/$ \nThe symbol in the top-right corner moves to the top-left corner, the symbol in the bottom-left corner moves to the top-right corner, and the symbol in the top-left corner moves to the bottom-right corner.\nThe symbol that was in the bottom-right corner leaves the box altogether, and a brand-new symbol enters at the bottom-left corner.\nThe fourth box holds + at the top-left, ? at the top-right, > at the bottom-left and O at the bottom-right.\nSo in the fifth box the top-left is ?, the top-right is >, the bottom-right is + and O disappears, while the fresh symbol = takes the bottom-left corner.\nOnly option (c) has ? , > , + and = standing in exactly these four places.","solHi":"आकृति शृंखला\nप्रतीकों को अलग-अलग देखने के बजाय प्रत्येक कोने को एक बॉक्स से अगले बॉक्स तक अनुसरण कीजिए।\n $\"figure\"/$ \nऊपर-दाएँ कोने का प्रतीक ऊपर-बाएँ कोने में, नीचे-बाएँ कोने का प्रतीक ऊपर-दाएँ कोने में तथा ऊपर-बाएँ कोने का प्रतीक नीचे-दाएँ कोने में चला जाता है।\nजो प्रतीक नीचे-दाएँ कोने में था वह बॉक्स से बाहर हो जाता है और एक बिल्कुल नया प्रतीक नीचे-बाएँ कोने में आ जाता है।\nचौथे बॉक्स में ऊपर-बाएँ + , ऊपर-दाएँ ? , नीचे-बाएँ > तथा नीचे-दाएँ O है।\nअतः पाँचवें बॉक्स में ऊपर-बाएँ ? , ऊपर-दाएँ > , नीचे-दाएँ + होगा और O लुप्त हो जाएगा, जबकि नया प्रतीक = नीचे-बाएँ कोने में आएगा।\nकेवल विकल्प (c) में ? , > , + तथा = ठीक इन्हीं चार स्थानों पर हैं।","pos":2,"neg":0.5},{"id":10950,"n":50,"subject":"General Intelligence","stem":"In a certain coded language 'CUKT' is coded as 'GYOX' and 'BSEU' is coded as 'FWIY'. How will 'AGSV' be coded in the same code language?","stemHi":"एक निश्चित कूट भाषा में 'CUKT' को 'GYOX' तथा 'BSEU' को 'FWIY' के रूप में कूटबद्ध किया जाता है। उसी कूट भाषा में 'AGSV' को किस प्रकार कूटबद्ध किया जाएगा?","context":null,"contextHi":null,"options":[{"key":"a","text":"EZZW","textHi":null,"imageUrl":null},{"key":"b","text":"EKWZ","textHi":null,"imageUrl":null},{"key":"c","text":"EZWZ","textHi":null,"imageUrl":null},{"key":"d","text":"EKZW","textHi":null,"imageUrl":null}],"correct":"b","sol":"Letter coding\nWrite the place value of every letter of the first pair: C(3) U(21) K(11) T(20) and G(7) Y(25) O(15) X(24).\nEach letter has moved forward by exactly 4 places.\nThe second pair obeys the same rule: B(2)→F(6), S(19)→W(23), E(5)→I(9), U(21)→Y(25).\n $\"figure\"/$ \nApply +4 to every letter of AGSV: A(1)→E(5), G(7)→K(11), S(19)→W(23), V(22)→Z(26).\nSo AGSV is coded as EKWZ.","solHi":"अक्षर कूट\nपहले युग्म के प्रत्येक अक्षर का स्थानीय मान लिखिए: C(3) U(21) K(11) T(20) तथा G(7) Y(25) O(15) X(24)।\nप्रत्येक अक्षर ठीक 4 स्थान आगे बढ़ा है।\nदूसरा युग्म भी यही नियम मानता है: B(2)→F(6), S(19)→W(23), E(5)→I(9), U(21)→Y(25)।\n $\"figure\"/$ \nअब AGSV के प्रत्येक अक्षर पर +4 लगाइए: A(1)→E(5), G(7)→K(11), S(19)→W(23), V(22)→Z(26)।\nअतः AGSV का कूट EKWZ होगा।","pos":2,"neg":0.5},{"id":10951,"n":51,"subject":"Quantitative Aptitude","stem":"Three partners share the profit in a business in the ratio 5 : 7 : 3. They invested for 15 months, 21 months, and 6 months, respectively. What is the ratio of their investments?","stemHi":"एक व्यवसाय में तीन साझेदार लाभ को 5 : 7 : 3 के अनुपात में बाँटते हैं। उन्होंने क्रमशः 15 महीने, 21 महीने तथा 6 महीने के लिए निवेश किया। उनके निवेशों का अनुपात क्या है?","context":null,"contextHi":null,"options":[{"key":"a","text":"

2 : 2 : 3

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

3 : 2 : 3

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

2 : 3 : 3

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

2 : 3 : 2

","textHi":null,"imageUrl":null}],"correct":"a","sol":"$3d","solHi":"$3e","pos":2,"neg":0.5},{"id":10952,"n":52,"subject":"Quantitative Aptitude","stem":"Simplify the expression:\n

{cosec}^{2} x - \cot^{2} x - \cos^{2} x

.","stemHi":"व्यंजक को सरल कीजिए:\n

{cosec}^{2} x - \cot^{2} x - \cos^{2} x

.","context":null,"contextHi":null,"options":[{"key":"a","text":"2","textHi":null,"imageUrl":null},{"key":"b","text":"

\tan^{2} x

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

\sin^{2} x

","textHi":null,"imageUrl":null},{"key":"d","text":"1","textHi":null,"imageUrl":null}],"correct":"c","sol":"$3f","solHi":"$40","pos":2,"neg":0.5},{"id":10953,"n":53,"subject":"Quantitative Aptitude","stem":"The ratio of the profit to the cost price is 4 : 7. What is the ratio of the selling price to the cost price?","stemHi":"लाभ का क्रय मूल्य से अनुपात 4 : 7 है। विक्रय मूल्य का क्रय मूल्य से अनुपात क्या है?","context":null,"contextHi":null,"options":[{"key":"a","text":"4 : 11","textHi":null,"imageUrl":null},{"key":"b","text":"11 : 4","textHi":null,"imageUrl":null},{"key":"c","text":"11 : 7","textHi":null,"imageUrl":null},{"key":"d","text":"7 : 11","textHi":null,"imageUrl":null}],"correct":"c","sol":"Profit and cost price\nLet the cost price be 7 units, so that the profit is 4 units in the same units.\nSelling price = cost price + profit =7+4=11 units.\nTherefore SP : CP =11:7.\nOption (c) is the answer; option (b) is the ratio of SP to profit, not to cost price.","solHi":"लाभ और क्रय मूल्य\nमाना कि क्रय मूल्य 7 इकाई है, तब उसी इकाई में लाभ 4 इकाई होगा।\nविक्रय मूल्य = क्रय मूल्य + लाभ =7+4=11 इकाई।\nअतः विक्रय मूल्य : क्रय मूल्य =11:7।\nइसलिए सही विकल्प (c) है; विकल्प (b) विक्रय मूल्य का लाभ से अनुपात है, क्रय मूल्य से नहीं।","pos":2,"neg":0.5},{"id":10954,"n":54,"subject":"Quantitative Aptitude","stem":"If a ratio of 5 : 8 represents the number of mangoes and grapes in a basket, and there are 60 mangoes, how many grapes are there?","stemHi":"यदि 5 : 8 का अनुपात किसी टोकरी में आमों तथा अंगूरों की संख्या दर्शाता है और आम 60 हैं, तो अंगूर कितने हैं?","context":null,"contextHi":null,"options":[{"key":"a","text":"42","textHi":null,"imageUrl":null},{"key":"b","text":"96","textHi":null,"imageUrl":null},{"key":"c","text":"50","textHi":null,"imageUrl":null},{"key":"d","text":"48","textHi":null,"imageUrl":null}],"correct":"b","sol":"Simple ratio\nMangoes : grapes =5:8, so let the numbers be 5k and 8k.\nGiven 5k=60, hence

k = \frac{60}{5} = 12

.\nNumber of grapes

= 8 k = 8 \times 12 = 96

.\nOption (d) comes from taking k=6 by mistake, that is from halving the number of mangoes.","solHi":"सरल अनुपात\nआम : अंगूर =5:8 है, अतः माना कि संख्याएँ 5k तथा 8k हैं।\nदिया है 5k=60, अतः

k = \frac{60}{5} = 12

।\nअंगूरों की संख्या

= 8 k = 8 \times 12 = 96

।\nविकल्प (d) भूल से k=6 लेने पर, अर्थात आमों की संख्या को आधा कर देने पर, प्राप्त होता है।","pos":2,"neg":0.5},{"id":10955,"n":55,"subject":"Quantitative Aptitude","stem":"The difference between the Cl and SI on a sum for 2 years at 12% p.a. is ₹720. What is the principal?","stemHi":"किसी धनराशि पर 2 वर्ष के लिए 12% वार्षिक दर से चक्रवृद्धि ब्याज तथा साधारण ब्याज का अंतर ₹720 है। मूलधन क्या है?","context":null,"contextHi":null,"options":[{"key":"a","text":"₹30,000","textHi":null,"imageUrl":null},{"key":"b","text":"₹32,000","textHi":null,"imageUrl":null},{"key":"c","text":"₹40,000","textHi":null,"imageUrl":null},{"key":"d","text":"₹50000","textHi":null,"imageUrl":null}],"correct":"d","sol":"$41","solHi":"$42","pos":2,"neg":0.5},{"id":10956,"n":56,"subject":"Quantitative Aptitude","stem":"An amount of ₹3,00,000 is invested at 20% per annum compound interest. After 1 year, the investor withdraws ₹30,000 from the balance. What will be the total amount remaining in the account at the end of the 2nd year?","stemHi":"₹3,00,000 की राशि 20% वार्षिक चक्रवृद्धि ब्याज पर निवेश की जाती है। 1 वर्ष बाद निवेशक शेष राशि में से ₹30,000 निकाल लेता है। दूसरे वर्ष के अंत में खाते में कुल कितनी राशि शेष रहेगी?","context":null,"contextHi":null,"options":[{"key":"a","text":"₹3,48,000","textHi":null,"imageUrl":null},{"key":"b","text":"₹3,96,000","textHi":null,"imageUrl":null},{"key":"c","text":"₹3,46,000","textHi":null,"imageUrl":null},{"key":"d","text":"₹3,60,000","textHi":null,"imageUrl":null}],"correct":"b","sol":"$43","solHi":"$44","pos":2,"neg":0.5},{"id":10957,"n":57,"subject":"Quantitative Aptitude","stem":"The average of 40 numbers was calculated as 28. Later it was found that two numbers were wrongly taken as 23 and 17 instead of 13 and 7. What is the correct average ?","stemHi":"40 संख्याओं का औसत 28 निकाला गया। बाद में पाया गया कि दो संख्याएँ 13 और 7 के स्थान पर गलती से 23 और 17 ले ली गई थीं। सही औसत क्या है?","context":null,"contextHi":null,"options":[{"key":"a","text":"27.5","textHi":null,"imageUrl":null},{"key":"b","text":"28.5","textHi":null,"imageUrl":null},{"key":"c","text":"30.5","textHi":null,"imageUrl":null},{"key":"d","text":"25.5","textHi":null,"imageUrl":null}],"correct":"a","sol":"Corrected average\nSum actually used

= 40 \times 28 = 1120

.\nThe two wrong entries add up to 23+17=40, while the correct ones add up to 13+7=20.\nSo the sum was 40-20=20 too large.\nCorrect sum =1120-20=1100.\nCorrect average

= \frac{1100}{40} = 27.5

.","solHi":"संशोधित औसत\nप्रयुक्त योग

= 40 \times 28 = 1120

।\nदोनों गलत संख्याओं का योग 23+17=40 है, जबकि सही संख्याओं का योग 13+7=20 है।\nअतः योग 40-20=20 अधिक हो गया था।\nसही योग =1120-20=1100।\nसही औसत

= \frac{1100}{40} = 27.5

।","pos":2,"neg":0.5},{"id":10958,"n":58,"subject":"Quantitative Aptitude","stem":"When 15827, 16115, and 16703 are divided by the greatest number

l

, the remainder is

n

.\nWhat is the value of

(l + n)

?","stemHi":"जब 15827, 16115 तथा 16703 को महत्तम संख्या

l

से विभाजित किया जाता है, तो प्रत्येक बार शेषफल

n

प्राप्त होता है।\n

(l + n)

का मान क्या है?","context":null,"contextHi":null,"options":[{"key":"a","text":"13","textHi":null,"imageUrl":null},{"key":"b","text":"18","textHi":null,"imageUrl":null},{"key":"c","text":"15","textHi":null,"imageUrl":null},{"key":"d","text":"23","textHi":null,"imageUrl":null}],"correct":"d","sol":"$45","solHi":"$46","pos":2,"neg":0.5},{"id":10959,"n":59,"subject":"Quantitative Aptitude","stem":"The price of a car increases by 10% in the first year and then again increases by 12.5% in the second year. If its final price becomes ₹69,300, find the original price of the car.","stemHi":"किसी कार का मूल्य पहले वर्ष में 10% बढ़ता है और फिर दूसरे वर्ष में 12.5% बढ़ जाता है। यदि उसका अंतिम मूल्य ₹69,300 हो जाता है, तो कार का मूल मूल्य ज्ञात कीजिए।","context":null,"contextHi":null,"options":[{"key":"a","text":"₹40,000","textHi":null,"imageUrl":null},{"key":"b","text":"₹52,000","textHi":null,"imageUrl":null},{"key":"c","text":"₹56,000","textHi":null,"imageUrl":null},{"key":"d","text":"₹48,000","textHi":null,"imageUrl":null}],"correct":"c","sol":"$47","solHi":"$48","pos":2,"neg":0.5},{"id":10960,"n":60,"subject":"Quantitative Aptitude","stem":"A bus travels to a town at

60 km / h

and returns at

40 km / h

. If the total time taken is 15 hours, what is the one-way distance to the town?","stemHi":"एक बस किसी नगर तक

60 km / h

की चाल से जाती है और

40 km / h

की चाल से लौटती है। यदि कुल लिया गया समय 15 घंटे है, तो नगर तक एक ओर की दूरी कितनी है?","context":null,"contextHi":null,"options":[{"key":"a","text":"330 km","textHi":null,"imageUrl":null},{"key":"b","text":"245 km","textHi":null,"imageUrl":null},{"key":"c","text":"360 km","textHi":null,"imageUrl":null},{"key":"d","text":"720 km","textHi":null,"imageUrl":null}],"correct":"c","sol":"$49","solHi":"$4a","pos":2,"neg":0.5},{"id":10961,"n":61,"subject":"Quantitative Aptitude","stem":"P and Q together can do a piece of work in 20 days. Q alone can do it in 30 days. How long will P alone take to complete the work?","stemHi":"P और Q मिलकर किसी कार्य को 20 दिनों में कर सकते हैं। Q अकेला उसी कार्य को 30 दिनों में कर सकता है। P अकेला उस कार्य को पूरा करने में कितना समय लेगा?","context":null,"contextHi":null,"options":[{"key":"a","text":"40 days","textHi":"40 दिन","imageUrl":null},{"key":"b","text":"50 days","textHi":"50 दिन","imageUrl":null},{"key":"c","text":"60 days","textHi":"60 दिन","imageUrl":null},{"key":"d","text":"70 days","textHi":"70 दिन","imageUrl":null}],"correct":"c","sol":"$4b","solHi":"$4c","pos":2,"neg":0.5},{"id":10962,"n":62,"subject":"Quantitative Aptitude","stem":"In a trapezium PQRS with PQ|RS, the diagonals PR and QS intersect at 0. The area of

△ ROS = 16 {cm}^{2}

. If

PQ = 2 RS

, what is the area of

△ POQ

?","stemHi":"एक समलंब PQRS में PQ|RS है तथा विकर्ण PR और QS एक-दूसरे को 0 पर प्रतिच्छेद करते हैं। क्षेत्रफल

△ ROS = 16 {cm}^{2}

है। यदि

PQ = 2 RS

हो, तो

△ POQ

का क्षेत्रफल क्या होगा?","context":null,"contextHi":null,"options":[{"key":"a","text":"

64 {cm}^{2}

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

80 {cm}^{2}

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

96 {cm}^{2}

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

72 {cm}^{2}

","textHi":null,"imageUrl":null}],"correct":"a","sol":"$4d","solHi":"$4e","pos":2,"neg":0.5},{"id":10963,"n":63,"subject":"Quantitative Aptitude","stem":"In a scheme, a shopkeeper offers a

15 %

discount if a customer buys three or more notebooks. Rohan buys three notebooks for ₹765. If the shopkeeper still makes a 25% profit, find the profit he would make had he sold the notebooks without any discount.","stemHi":"एक योजना के अंतर्गत कोई दुकानदार तीन या अधिक नोटबुक खरीदने पर

15 %

की छूट देता है। रोहन तीन नोटबुक ₹765 में खरीदता है। यदि दुकानदार को तब भी 25% लाभ होता है, तो ज्ञात कीजिए कि बिना कोई छूट दिए नोटबुक बेचने पर उसे कितना लाभ होता।","context":null,"contextHi":null,"options":[{"key":"a","text":"₹220","textHi":null,"imageUrl":null},{"key":"b","text":"₹240","textHi":null,"imageUrl":null},{"key":"c","text":"₹288","textHi":null,"imageUrl":null},{"key":"d","text":"₹250","textHi":null,"imageUrl":null}],"correct":"c","sol":"$4f","solHi":"$50","pos":2,"neg":0.5},{"id":10964,"n":64,"subject":"Quantitative Aptitude","stem":"The simple interest on Rs. 2500 is Rs.500, and the time is 3 years . What is the rate of interest?","stemHi":"Rs. 2500 पर साधारण ब्याज Rs. 500 है तथा समय 3 वर्ष है। ब्याज की दर क्या है?","context":null,"contextHi":null,"options":[{"key":"a","text":"

\frac{10}{3} %

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

\frac{20}{3} %

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

\frac{40}{3} %

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

\frac{50}{3} %

","textHi":null,"imageUrl":null}],"correct":"b","sol":"$51","solHi":"$52","pos":2,"neg":0.5},{"id":10965,"n":65,"subject":"Quantitative Aptitude","stem":"A rectangular sheet of paper with dimensions 88 cm by 20 cm is rolled into a right circular cylinder with the 20 cm side becoming the height. What is the approximate volume of the cylinder?","stemHi":"88 cm × 20 cm विमाओं वाली कागज़ की एक आयताकार शीट को इस प्रकार मोड़कर लंब वृत्तीय बेलन बनाया जाता है कि 20 cm वाली भुजा उसकी ऊँचाई बन जाए। बेलन का लगभग आयतन कितना है?","context":null,"contextHi":null,"options":[{"key":"a","text":"13220 cubic cm","textHi":"13220 घन cm","imageUrl":null},{"key":"b","text":"12330 cubic cm","textHi":"12330 घन cm","imageUrl":null},{"key":"c","text":"12230 cubic cm","textHi":"12230 घन cm","imageUrl":null},{"key":"d","text":"12320 cubic cm","textHi":"12320 घन cm","imageUrl":null}],"correct":"d","sol":"$53","solHi":"$54","pos":2,"neg":0.5},{"id":10966,"n":66,"subject":"Quantitative Aptitude","stem":"The value of

12^{2} + 65^{2}

is the same as which of the following?","stemHi":"

12^{2} + 65^{2}

का मान निम्नलिखित में से किसके बराबर है?","context":null,"contextHi":null,"options":[{"key":"a","text":"

15^{2} + 42^{2}

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

20^{2} + 63^{2}

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

18^{2} + 45^{2}

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

82^{2} + 72^{2}

","textHi":null,"imageUrl":null}],"correct":"b","sol":"$55","solHi":"$56","pos":2,"neg":0.5},{"id":10967,"n":67,"subject":"Quantitative Aptitude","stem":"An 75 kg alloy contains lead and tin in some proportion. It has 20% tin. How much pure tin (in kg) should be added to the alloy so that the new mixture contains

40 %

tin?","stemHi":"75 kg की एक मिश्रधातु में सीसा और टिन किसी अनुपात में हैं। इसमें 20% टिन है। मिश्रधातु में कितना शुद्ध टिन (kg में) मिलाया जाए ताकि नए मिश्रण में

40 %

टिन हो जाए?","context":null,"contextHi":null,"options":[{"key":"a","text":"40 kg","textHi":null,"imageUrl":null},{"key":"b","text":"25 kg","textHi":null,"imageUrl":null},{"key":"c","text":"36 kg","textHi":null,"imageUrl":null},{"key":"d","text":"28 kg","textHi":null,"imageUrl":null}],"correct":"b","sol":"$57","solHi":"मिश्रण और सम्मिश्रण\nदी गई मिश्रधातु में टिन =75 का

20 % = 15

kg, अतः सीसा =75-15=60 kg।\nकेवल शुद्ध टिन मिलाया जाता है, अतः सीसे की मात्रा 60 kg ही बनी रहती है।\nनए मिश्रण में टिन

40 %

है, अतः सीसा उसका

100 - 40 = 60 %

है।\nनया कुल भार

= \frac{60 \times 100}{60} = 100

kg।\n $\"figure\"/$ \nमिलाया जाने वाला टिन =100-75=25 kg, इसलिए सही विकल्प (b) है।","pos":2,"neg":0.5},{"id":10968,"n":68,"subject":"Quantitative Aptitude","stem":"A hemispherical shell has an inner radius of 9 cm and an outer radius of 11 cm . Calculate the volume of the material forming the shell.","stemHi":"एक अर्धगोलाकार खोल की आंतरिक त्रिज्या 9 cm तथा बाह्य त्रिज्या 11 cm है। खोल बनाने वाले पदार्थ का आयतन ज्ञात कीजिए।","context":null,"contextHi":null,"options":[{"key":"a","text":"

\frac{1250 π}{3} {cm}^{3}

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

\frac{1204 π}{3} {cm}^{3}

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

\frac{1150 π}{3} {cm}^{3}

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

\frac{1210 π}{3} {cm}^{3}

","textHi":null,"imageUrl":null}],"correct":"b","sol":"$58","solHi":"$59","pos":2,"neg":0.5},{"id":10969,"n":69,"subject":"Quantitative Aptitude","stem":"A tank is

\frac{2}{5}

full of water. If 30 liters of water is added, it becomes

\frac{3}{5}

full. What is the full capacity of the tank?","stemHi":"एक टंकी

\frac{2}{5}

भाग तक पानी से भरी है। यदि उसमें 30 लीटर पानी और डाला जाए, तो वह

\frac{3}{5}

भाग तक भर जाती है। टंकी की कुल धारिता कितनी है?","context":null,"contextHi":null,"options":[{"key":"a","text":"180 liters","textHi":"180 लीटर","imageUrl":null},{"key":"b","text":"100 liters","textHi":"100 लीटर","imageUrl":null},{"key":"c","text":"150 liters","textHi":"150 लीटर","imageUrl":null},{"key":"d","text":"120 liters","textHi":"120 लीटर","imageUrl":null}],"correct":"c","sol":"$5a","solHi":"$5b","pos":2,"neg":0.5},{"id":10970,"n":70,"subject":"Quantitative Aptitude","stem":"The centroid of a triangle is the center of mass. If the coordinates of the vertices are

A (4, 7), B (6, 8)

, and

C (8, 6)

, what is the centroid of the triangle?","stemHi":"किसी त्रिभुज का केंद्रक उसका द्रव्यमान-केंद्र होता है। यदि शीर्षों के निर्देशांक

A (4, 7), B (6, 8)

तथा

C (8, 6)

हैं, तो त्रिभुज का केंद्रक क्या है?","context":null,"contextHi":null,"options":[{"key":"a","text":"

(7, 5)

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

(7, 6)

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

(6, 7)

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

(6, 5)

","textHi":null,"imageUrl":null}],"correct":"c","sol":"$5c","solHi":"$5d","pos":2,"neg":0.5},{"id":10971,"n":71,"subject":"Quantitative Aptitude","stem":"If the ratio of the altitudes of two similar triangles is

p : q

, what is the ratio of their areas?","stemHi":"यदि दो समरूप त्रिभुजों के शीर्षलंबों का अनुपात

p : q

है, तो उनके क्षेत्रफलों का अनुपात क्या होगा?","context":null,"contextHi":null,"options":[{"key":"a","text":"

\sqrt{p} : \sqrt{q}

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

p^{2} : q^{2}

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

p : q

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

p : q^{2}

","textHi":null,"imageUrl":null}],"correct":"b","sol":"Areas of similar triangles\nIn two similar triangles every pair of corresponding lengths — sides, altitudes, medians, angle bisectors, perimeters — is in the same ratio.\nSo altitudes in the ratio p:q means the corresponding sides are also in the ratio p:q.\n $\"figure\"/$ \nThe ratio of the areas of two similar triangles is the square of the ratio of any pair of corresponding lengths.\nRatio of the areas

= p^{2} : q^{2}

, so option (b) is correct.","solHi":"समरूप त्रिभुजों का क्षेत्रफल\nदो समरूप त्रिभुजों में संगत लंबाइयों के सभी युग्म — भुजाएँ, शीर्षलंब, माध्यिकाएँ, कोण-समद्विभाजक, परिमाप — एक ही अनुपात में होते हैं।\nअतः शीर्षलंबों का अनुपात p:q होने का अर्थ है कि संगत भुजाओं का अनुपात भी p:q है।\n $\"figure\"/$ \nदो समरूप त्रिभुजों के क्षेत्रफलों का अनुपात संगत लंबाइयों के अनुपात के वर्ग के बराबर होता है।\nक्षेत्रफलों का अनुपात

= p^{2} : q^{2}

, इसलिए सही विकल्प (b) है।","pos":2,"neg":0.5},{"id":10972,"n":72,"subject":"Quantitative Aptitude","stem":"Rationalize the denominator:

\frac{8}{(\sqrt{5} + \sqrt{3})}

","stemHi":"हर का परिमेयकरण कीजिए:

\frac{8}{(\sqrt{5} + \sqrt{3})}

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

4 (\sqrt{5} + \sqrt{3})

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

4 (\sqrt{5} \cdot \sqrt{3})

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

2 (\sqrt{5} - \sqrt{3})

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

2 (\sqrt{5} + \sqrt{3})

","textHi":null,"imageUrl":null}],"correct":"b","sol":"$5e","solHi":"$5f","pos":2,"neg":0.5},{"id":10973,"n":73,"subject":"Quantitative Aptitude","stem":"If

(a^{3} + b^{3} + c^{3} - 3 a b c) = 405

, and

(a + b + c) = 15

, find the value of

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

.","stemHi":"यदि

(a^{3} + b^{3} + c^{3} - 3 a b c) = 405

तथा

(a + b + c) = 15

है, तो

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

का मान ज्ञात कीजिए।","context":null,"contextHi":null,"options":[{"key":"a","text":"27","textHi":null,"imageUrl":null},{"key":"b","text":"54","textHi":null,"imageUrl":null},{"key":"c","text":"18","textHi":null,"imageUrl":null},{"key":"d","text":"45","textHi":null,"imageUrl":null}],"correct":"b","sol":"$60","solHi":"$61","pos":2,"neg":0.5},{"id":10974,"n":74,"subject":"Quantitative Aptitude","stem":"

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

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

\cos θ (1 + \sin θ)

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

2 \cos θ (1 + \sec θ)

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

\sec θ (1 + \sin θ)

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

2 \sec θ (1 + \sec θ)

","textHi":null,"imageUrl":null}],"correct":"d","sol":"$62","solHi":"$63","pos":2,"neg":0.5},{"id":10975,"n":75,"subject":"Quantitative Aptitude","stem":"A line passes through the points ( 3 , 5) and (2, 7). Find the equation of the line in slope-intercept form.","stemHi":"एक रेखा बिंदुओं ( 3 , 5) और (2, 7) से होकर जाती है। इस रेखा का समीकरण ढाल-अंतःखंड रूप में ज्ञात कीजिए।","context":null,"contextHi":null,"options":[{"key":"a","text":"

2 x - y = 11

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

x + 2 y = 11

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

x - 2 y = 11

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

2 x + y = 11

","textHi":null,"imageUrl":null}],"correct":"d","sol":"Equation of a straight line\nSlope

m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}} = \frac{7 - 5}{2 - 3} = \frac{2}{- 1} = - 2

.\nPoint-slope form through (3,5): y-5=-2(x-3).\ny-5=-2x+6\ny=-2x+11, which rearranges to 2x+y=11.\n $\"figure\"/$ \nCheck both points: 2(3)+5=11 and 2(2)+7=11, so option (d) is correct.","solHi":"सरल रेखा का समीकरण\nढाल

m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}} = \frac{7 - 5}{2 - 3} = \frac{2}{- 1} = - 2

।\nबिंदु (3,5) से होकर बिंदु-ढाल रूप: y-5=-2(x-3)।\ny-5=-2x+6\ny=-2x+11, जिसे पुनर्व्यवस्थित करने पर 2x+y=11 प्राप्त होता है।\n $\"figure\"/$ \nदोनों बिंदुओं की जाँच: 2(3)+5=11 तथा 2(2)+7=11, इसलिए सही विकल्प (d) है।","pos":2,"neg":0.5},{"id":10976,"n":76,"subject":"General Awareness","stem":"Which Article of the Indian Constitution directs the State to ensure that the operation of the legal system promotes justice on a basis of equal opportunity and provides for free legal aid?","stemHi":"भारतीय संविधान का कौन-सा अनुच्छेद राज्य को यह सुनिश्चित करने का निदेश देता है कि विधिक तंत्र का संचालन समान अवसर के आधार पर न्याय को बढ़ावा दे तथा निःशुल्क विधिक सहायता उपलब्ध कराए?","context":null,"contextHi":null,"options":[{"key":"a","text":"Article 46","textHi":"अनुच्छेद 46","imageUrl":null},{"key":"b","text":"Article 35","textHi":"अनुच्छेद 35","imageUrl":null},{"key":"c","text":"Article 39 A","textHi":"अनुच्छेद 39 A","imageUrl":null},{"key":"d","text":"Article 42","textHi":"अनुच्छेद 42","imageUrl":null}],"correct":"c","sol":"Directive Principles, Article 39A\nArticle 39A directs the State to secure that the operation of the legal system promotes justice on a basis of equal opportunity, and to provide free legal aid so that no citizen is denied justice because of economic or other disabilities.\nIt was inserted by the 42nd Constitutional Amendment Act, 1976 and is part of the Directive Principles of State Policy in Part IV.\nIt is the constitutional base of the Legal Services Authorities Act, 1987, under which NALSA and the Lok Adalats function.\n $\"figure\"/$ \nArticle 46 promotes the educational and economic interests of SCs, STs and other weaker sections; Article 42 provides for just and humane conditions of work and maternity relief; Article 35 (a Fundamental Right provision) reserves to Parliament the power to make laws on certain matters in Part III.\nSo option (c) is correct.","solHi":"नीति निदेशक तत्त्व, अनुच्छेद 39A\nअनुच्छेद 39A राज्य को निदेश देता है कि वह यह सुनिश्चित करे कि विधिक तंत्र का संचालन समान अवसर के आधार पर न्याय को बढ़ावा दे तथा निःशुल्क विधिक सहायता प्रदान करे, जिससे आर्थिक या अन्य अक्षमताओं के कारण किसी नागरिक को न्याय से वंचित न होना पड़े।\nइसे 42वें संविधान संशोधन अधिनियम, 1976 द्वारा जोड़ा गया और यह भाग IV के राज्य के नीति निदेशक तत्त्वों का अंग है।\nयही विधिक सेवा प्राधिकरण अधिनियम, 1987 का संवैधानिक आधार है, जिसके अंतर्गत NALSA तथा लोक अदालतें कार्य करती हैं।\n $\"figure\"/$ \nअनुच्छेद 46 अनुसूचित जातियों, अनुसूचित जनजातियों तथा अन्य दुर्बल वर्गों के शैक्षिक और आर्थिक हितों को बढ़ावा देता है; अनुच्छेद 42 काम की न्यायसंगत और मानवोचित दशाओं तथा प्रसूति सहायता का उपबंध करता है; अनुच्छेद 35 (मूल अधिकारों का उपबंध) भाग III के कुछ विषयों पर विधि बनाने की शक्ति केवल संसद को देता है।\nइसलिए सही विकल्प (c) है।","pos":2,"neg":0.5},{"id":10977,"n":77,"subject":"General Awareness","stem":"In the year 2024, which of the following leaders was posthumously honoured with the Bharat Ratna?","stemHi":"वर्ष 2024 में निम्नलिखित में से किस नेता को मरणोपरांत भारत रत्न से सम्मानित किया गया?","context":null,"contextHi":null,"options":[{"key":"a","text":"B. R. Ambedkar (Posthumous)","textHi":"बी. आर. आंबेडकर (मरणोपरांत)","imageUrl":null},{"key":"b","text":"Jayaprakash Narayan (Posthumous)","textHi":"जयप्रकाश नारायण (मरणोपरांत)","imageUrl":null},{"key":"c","text":"Lal Bahadur Shastri (Posthumous)","textHi":"लाल बहादुर शास्त्री (मरणोपरांत)","imageUrl":null},{"key":"d","text":"Karpoori Thakur (Posthumous)","textHi":"कर्पूरी ठाकुर (मरणोपरांत)","imageUrl":null}],"correct":"d","sol":"Bharat Ratna 2024\nKarpoori Thakur, the former Chief Minister of Bihar popularly called 'Jannayak', was awarded the Bharat Ratna posthumously in 2024 for his lifelong work for social justice and the backward classes.\nThe award was announced on 23 January 2024, on the eve of his birth centenary.\n $\"figure\"/$ \nA record five Bharat Ratnas were announced in 2024, and of the four names given only Karpoori Thakur belongs to that list.\nB. R. Ambedkar received the award posthumously in 1990, Lal Bahadur Shastri in 1966 and Jayaprakash Narayan in 1999, so option (d) is correct.","solHi":"भारत रत्न 2024\nबिहार के पूर्व मुख्यमंत्री कर्पूरी ठाकुर, जिन्हें 'जननायक' कहा जाता है, को सामाजिक न्याय तथा पिछड़े वर्गों के लिए किए गए आजीवन कार्य हेतु 2024 में मरणोपरांत भारत रत्न प्रदान किया गया।\nइसकी घोषणा 23 जनवरी 2024 को, उनकी जन्म-शताब्दी की पूर्व संध्या पर की गई थी।\n $\"figure\"/$ \nवर्ष 2024 में रिकॉर्ड पाँच भारत रत्न घोषित किए गए और दिए गए चार नामों में से केवल कर्पूरी ठाकुर उसी सूची में हैं।\nबी. आर. आंबेडकर को यह सम्मान 1990 में, लाल बहादुर शास्त्री को 1966 में तथा जयप्रकाश नारायण को 1999 में मरणोपरांत मिला था, इसलिए सही विकल्प (d) है।","pos":2,"neg":0.5},{"id":10978,"n":78,"subject":"General Awareness","stem":"With an allocation of ₹20,000 crore in the Union Budget 2025-26, the government aims to operationalize how many indigenously developed Small Modular Reactors (SMRs) by the year 2033?","stemHi":"केंद्रीय बजट 2025-26 में ₹20,000 करोड़ के आवंटन के साथ सरकार का लक्ष्य वर्ष 2033 तक कितने स्वदेशी रूप से विकसित लघु मॉड्यूलर रिएक्टरों (SMRs) को क्रियाशील करना है?","context":null,"contextHi":null,"options":[{"key":"a","text":"7","textHi":null,"imageUrl":null},{"key":"b","text":"11","textHi":null,"imageUrl":null},{"key":"c","text":"5","textHi":null,"imageUrl":null},{"key":"d","text":"9","textHi":null,"imageUrl":null}],"correct":"c","sol":"Nuclear Energy Mission\nThe Union Budget 2025-26 announced a Nuclear Energy Mission for Viksit Bharat with an outlay of ₹20,000 crore.\nThe mission funds the research and development of Small Modular Reactors (SMRs), and it targets at least five indigenously designed SMRs in operation by 2033.\nSMRs are compact factory-built reactors, so they can be set up near industry or on retired thermal-plant sites.\nThe same budget set the wider goal of 100 GW of nuclear power by 2047 and proposed amendments to the Atomic Energy Act and the Civil Liability for Nuclear Damage Act to allow private participation.\nSo the number asked for is 5, and option (c) is correct.","solHi":"परमाणु ऊर्जा मिशन\nकेंद्रीय बजट 2025-26 में ₹20,000 करोड़ के परिव्यय के साथ 'विकसित भारत के लिए परमाणु ऊर्जा मिशन' की घोषणा की गई।\nयह मिशन लघु मॉड्यूलर रिएक्टरों (SMRs) के अनुसंधान एवं विकास के लिए है और इसका लक्ष्य 2033 तक कम-से-कम पाँच स्वदेशी रूप से अभिकल्पित SMRs को क्रियाशील करना है।\nSMRs छोटे, कारखाने में निर्मित रिएक्टर होते हैं, इसलिए इन्हें उद्योगों के निकट अथवा बंद हो चुके तापीय संयंत्रों के स्थलों पर लगाया जा सकता है।\nइसी बजट में 2047 तक 100 GW परमाणु क्षमता का व्यापक लक्ष्य रखा गया तथा निजी भागीदारी हेतु परमाणु ऊर्जा अधिनियम और परमाणु क्षति के लिए सिविल दायित्व अधिनियम में संशोधन प्रस्तावित किए गए।\nअतः अभीष्ट संख्या 5 है और सही विकल्प (c) है।","pos":2,"neg":0.5},{"id":10979,"n":79,"subject":"General Awareness","stem":"According to the 'World Happiness Report' released in March 2025, what is India's rank globally ?","stemHi":"मार्च 2025 में जारी 'World Happiness Report' के अनुसार, वैश्विक स्तर पर भारत का स्थान क्या है?","context":null,"contextHi":null,"options":[{"key":"a","text":"146th","textHi":"146वाँ","imageUrl":null},{"key":"b","text":"131th","textHi":"131वाँ","imageUrl":null},{"key":"c","text":"118th","textHi":"118वाँ","imageUrl":null},{"key":"d","text":"96th","textHi":"96वाँ","imageUrl":null}],"correct":"c","sol":"World Happiness Report 2025\nThe World Happiness Report 2025 was released on 20 March 2025, the International Day of Happiness.\nIt is published by the Wellbeing Research Centre of the University of Oxford along with Gallup and the UN Sustainable Development Solutions Network; the 2025 theme was 'Caring and Sharing'.\nIndia was placed 118th out of 147 countries, an improvement on its 126th place in the 2024 report.\n $\"figure\"/$ \nFinland topped the list for the eighth year in a row, followed by Denmark, Iceland and Sweden, while Afghanistan was last.\nSo option (c) is correct.","solHi":"विश्व खुशहाली रिपोर्ट 2025\nविश्व खुशहाली रिपोर्ट 2025 अंतर्राष्ट्रीय खुशहाली दिवस, 20 मार्च 2025 को जारी की गई।\nइसे ऑक्सफ़ोर्ड विश्वविद्यालय के Wellbeing Research Centre द्वारा Gallup तथा UN Sustainable Development Solutions Network के साथ प्रकाशित किया जाता है; 2025 की विषय-वस्तु 'Caring and Sharing' थी।\nभारत को 147 देशों में 118वाँ स्थान मिला, जो 2024 की रिपोर्ट के 126वें स्थान से बेहतर है।\n $\"figure\"/$ \nफ़िनलैंड लगातार आठवें वर्ष शीर्ष पर रहा, उसके बाद डेनमार्क, आइसलैंड तथा स्वीडन रहे, जबकि अफ़ग़ानिस्तान अंतिम स्थान पर रहा।\nइसलिए सही विकल्प (c) है।","pos":2,"neg":0.5},{"id":10980,"n":80,"subject":"General Awareness","stem":"According to UNICEF's 'State of the World's Children 2024' report, by the 2050s, over one-third of the global child population will be concentrated in four specific countries. Which of the following nations is NOT part of this group?","stemHi":"UNICEF की 'State of the World's Children 2024' रिपोर्ट के अनुसार, 2050 के दशक तक विश्व की एक-तिहाई से अधिक बाल जनसंख्या चार विशिष्ट देशों में केंद्रित होगी। निम्नलिखित में से कौन-सा देश इस समूह का भाग नहीं है?","context":null,"contextHi":null,"options":[{"key":"a","text":"Sudan","textHi":"सूडान","imageUrl":null},{"key":"b","text":"India","textHi":"भारत","imageUrl":null},{"key":"c","text":"Pakistan","textHi":"पाकिस्तान","imageUrl":null},{"key":"d","text":"China","textHi":"चीन","imageUrl":null}],"correct":"a","sol":"UNICEF report on children\nUNICEF's State of the World's Children 2024, titled 'The Future of Childhood in a Changing World', looks ahead to the 2050s.\nIt projects that by the 2050s just four countries — India, China, Nigeria and Pakistan — will be home to more than one-third of the world's children.\n $\"figure\"/$ \nSudan is not in that group, so option (a) is the country asked for.\nThe report also names three megatrends that will shape childhood: demographic change, the climate and environmental crisis, and frontier technologies.","solHi":"बच्चों पर यूनिसेफ रिपोर्ट\nUNICEF की 'State of the World's Children 2024' रिपोर्ट, जिसका शीर्षक 'The Future of Childhood in a Changing World' है, 2050 के दशक की ओर देखती है।\nइसका अनुमान है कि 2050 के दशक तक केवल चार देश — भारत, चीन, नाइजीरिया और पाकिस्तान — विश्व के एक-तिहाई से अधिक बच्चों का घर होंगे।\n $\"figure\"/$ \nसूडान इस समूह में नहीं है, अतः अभीष्ट देश विकल्प (a) है।\nरिपोर्ट में बचपन को आकार देने वाली तीन महाप्रवृत्तियाँ भी बताई गई हैं: जनसांख्यिकीय परिवर्तन, जलवायु एवं पर्यावरण संकट तथा अग्रणी प्रौद्योगिकियाँ।","pos":2,"neg":0.5},{"id":10981,"n":81,"subject":"General Awareness","stem":"In May 2025, which district achieved the distinction of becoming the first in India to run entirely on solar power?","stemHi":"मई 2025 में, किस ज़िले ने पूर्णतः सौर ऊर्जा पर चलने वाला भारत का पहला ज़िला बनने का गौरव प्राप्त किया?","context":null,"contextHi":null,"options":[{"key":"a","text":"Rewa","textHi":"रीवा","imageUrl":null},{"key":"b","text":"Diu","textHi":"दीव","imageUrl":null},{"key":"c","text":"Jaisalmer","textHi":"जैसलमेर","imageUrl":null},{"key":"d","text":"Kochi","textHi":"कोच्चि","imageUrl":null}],"correct":"b","sol":"Current affairs — solar energy\nIn May 2025 Diu was declared the first district in India to meet its entire power demand from solar energy.\nDiu belongs to the Union Territory of Dadra and Nagar Haveli and Daman and Diu; about 11.88 MW of solar capacity — ground-mounted plants plus rooftop panels on homes and government buildings — now covers its demand.\n $\"figure\"/$ \nEarlier Diu bought almost all its electricity from Gujarat, so the switch also cut the administration's annual power bill sharply and made the district a model for renewable-energy adoption.\nHence the correct option is (b).","solHi":"करंट अफेयर्स — सौर ऊर्जा\nमई 2025 में दीव को अपनी संपूर्ण विद्युत माँग सौर ऊर्जा से पूरी करने वाला भारत का पहला ज़िला घोषित किया गया।\nदीव, दादरा और नगर हवेली तथा दमन और दीव केंद्र शासित प्रदेश का भाग है; भूमि पर लगे संयंत्रों तथा घरों व सरकारी भवनों की छतों पर लगे पैनलों से प्राप्त लगभग 11.88 MW सौर क्षमता अब इसकी माँग पूरी करती है।\n $\"figure\"/$ \nपहले दीव अपनी लगभग सारी बिजली गुजरात से खरीदता था, अतः इस बदलाव से प्रशासन के वार्षिक विद्युत व्यय में भारी कमी आई और यह ज़िला नवीकरणीय ऊर्जा अपनाने का आदर्श बन गया।\nइसलिए सही विकल्प (b) है।","pos":2,"neg":0.5},{"id":10982,"n":82,"subject":"General Awareness","stem":"Which Hindustani classical 'Gharana' does the distinguished vocalist Ashwini Bhide Deshpande associated with?","stemHi":"प्रतिष्ठित गायिका Ashwini Bhide Deshpande हिंदुस्तानी शास्त्रीय संगीत के किस 'घराने' से संबद्ध हैं?","context":null,"contextHi":null,"options":[{"key":"a","text":"Gwalior Gharana","textHi":"ग्वालियर घराना","imageUrl":null},{"key":"b","text":"Jaipur-Atrauli Gharana","textHi":"जयपुर-अतरौली घराना","imageUrl":null},{"key":"c","text":"Agra Gharana","textHi":"आगरा घराना","imageUrl":null},{"key":"d","text":"Mewati Gharana","textHi":"मेवाती घराना","imageUrl":null}],"correct":"b","sol":"Hindustani music gharanas\nAshwini Bhide Deshpande is a leading vocalist of the Jaipur-Atrauli Gharana.\nShe was trained first by her mother Manik Bhide and later by Pt. Ratnakar Pai, both singers of the same gharana.\n $\"figure\"/$ \nThe Jaipur-Atrauli style, founded by Ustad Alladiya Khan, is known for rare compound ragas, long unbroken phrases and intricate laykari — precisely the features her singing is praised for.\nHence the correct option is (b).","solHi":"हिंदुस्तानी संगीत के घराने\nAshwini Bhide Deshpande जयपुर-अतरौली घराने की प्रमुख गायिका हैं।\nउन्होंने पहले अपनी माता Manik Bhide से और बाद में इसी घराने के पं. Ratnakar Pai से संगीत की शिक्षा ली।\n $\"figure\"/$ \nउस्ताद Alladiya Khan द्वारा स्थापित जयपुर-अतरौली शैली दुर्लभ जोड़-रागों, लंबी अखंड स्वर-पंक्तियों तथा जटिल लयकारी के लिए जानी जाती है — यही विशेषताएँ उनके गायन में मानी जाती हैं।\nइसलिए सही विकल्प (b) है।","pos":2,"neg":0.5},{"id":10983,"n":83,"subject":"General Awareness","stem":"Which Indian author wrote the celebrated work 'In an Antique Land'?","stemHi":"किस भारतीय लेखक ने प्रसिद्ध कृति 'In an Antique Land' लिखी थी?","context":null,"contextHi":null,"options":[{"key":"a","text":"Vikram Seth","textHi":null,"imageUrl":null},{"key":"b","text":"Arundhati Roy","textHi":null,"imageUrl":null},{"key":"c","text":"Amitav Ghosh","textHi":null,"imageUrl":null},{"key":"d","text":"Jhumpa Lahiri","textHi":null,"imageUrl":null}],"correct":"c","sol":"Books and authors\nIn an Antique Land (1992) was written by Amitav Ghosh.\nThe book blends travel writing, history and anthropology: while living in an Egyptian village Ghosh reconstructs, from Cairo Geniza documents, the life of a 12th-century Indian slave — showing how closely medieval India and the Middle East were linked.\n $\"figure\"/$ \nHence the correct option is (c).","solHi":"पुस्तकें और लेखक\nIn an Antique Land (1992) के लेखक Amitav Ghosh हैं।\nइस पुस्तक में यात्रा-वृत्तांत, इतिहास और मानवशास्त्र का मिश्रण है: मिस्र के एक गाँव में रहते हुए Ghosh ने Cairo Geniza के दस्तावेज़ों से बारहवीं शताब्दी के एक भारतीय दास का जीवन पुनर्रचित किया — जिससे मध्यकालीन भारत और मध्य-पूर्व का घनिष्ठ संबंध उजागर होता है।\n $\"figure\"/$ \nइसलिए सही विकल्प (c) है।","pos":2,"neg":0.5},{"id":10984,"n":84,"subject":"General Awareness","stem":"The book 'Love Is Always Right and Other Musings' is the work of which Indian author and columnist ?","stemHi":"'Love Is Always Right and Other Musings' पुस्तक किस भारतीय लेखिका एवं स्तंभकार की कृति है?","context":null,"contextHi":null,"options":[{"key":"a","text":"Twinkle Khanna","textHi":null,"imageUrl":null},{"key":"b","text":"Vinita Dawra Nangia","textHi":null,"imageUrl":null},{"key":"c","text":"Shobhaa De","textHi":null,"imageUrl":null},{"key":"d","text":"Sudha Murty","textHi":null,"imageUrl":null}],"correct":"b","sol":"Books and authors\nLove Is Always Right and Other Musings was written by Vinita Dawra Nangia, an author and newspaper columnist.\nThe book collects pieces from her long-running column 'O-zone', in which she reflects on love, relationships, society and everyday human values.\n $\"figure\"/$ \nHence the correct option is (b).","solHi":"पुस्तकें और लेखक\n'Love Is Always Right and Other Musings' पुस्तक की लेखिका Vinita Dawra Nangia हैं, जो लेखिका एवं समाचार-पत्र स्तंभकार हैं।\nइस पुस्तक में उनके लंबे समय से प्रकाशित स्तंभ 'O-zone' के लेख संकलित हैं, जिनमें वे प्रेम, संबंधों, समाज और रोज़मर्रा के मानवीय मूल्यों पर विचार करती हैं।\n $\"figure\"/$ \nइसलिए सही विकल्प (b) है।","pos":2,"neg":0.5},{"id":10985,"n":85,"subject":"General Awareness","stem":"Identify the folk dance of Chhattisgarh that is popularly referred to as the "Parrot Dance."","stemHi":"छत्तीसगढ़ के उस लोकनृत्य की पहचान कीजिए जिसे लोकप्रिय रूप से "तोता नृत्य" (Parrot Dance) कहा जाता है।","context":null,"contextHi":null,"options":[{"key":"a","text":"Suwa Dance","textHi":"सुआ नृत्य","imageUrl":null},{"key":"b","text":"Giddha Dance","textHi":"गिद्दा नृत्य","imageUrl":null},{"key":"c","text":"Garba Dance","textHi":"गरबा नृत्य","imageUrl":null},{"key":"d","text":"Bihu Dance","textHi":"बिहू नृत्य","imageUrl":null}],"correct":"a","sol":"Folk dances of India\nThe Suwa dance of Chhattisgarh is popularly called the "Parrot Dance".\n'Suwa' means parrot in Chhattisgarhi; women move in a circle around a pot carrying a wooden parrot, clapping and singing suwa geet in the weeks between Deepawali and the Gaura-Gauri puja.\n $\"figure\"/$ \nHence the correct option is (a).","solHi":"भारत के लोकनृत्य\nछत्तीसगढ़ का सुआ नृत्य लोकप्रिय रूप से "तोता नृत्य" कहलाता है।\nछत्तीसगढ़ी में 'सुआ' का अर्थ तोता है; स्त्रियाँ लकड़ी के तोते वाले पात्र के चारों ओर घेरा बनाकर, ताली बजाते हुए सुआ गीत गाती हैं — यह दीपावली से गौरा-गौरी पूजा तक के दिनों में किया जाता है।\n $\"figure\"/$ \nइसलिए सही विकल्प (a) है।","pos":2,"neg":0.5},{"id":10986,"n":86,"subject":"General Awareness","stem":"In Indian space research terminology, what does the letter "N" denote in INCOSPAR ?","stemHi":"भारतीय अंतरिक्ष अनुसंधान की शब्दावली में, INCOSPAR में अक्षर "N" किसे दर्शाता है?","context":null,"contextHi":null,"options":[{"key":"a","text":"National","textHi":null,"imageUrl":null},{"key":"b","text":"Nuclear","textHi":null,"imageUrl":null},{"key":"c","text":"Navigational","textHi":null,"imageUrl":null},{"key":"d","text":"Network","textHi":null,"imageUrl":null}],"correct":"a","sol":"Indian space programme\nINCOSPAR stands for Indian National Committee for Space Research, so the letter "N" denotes National.\n $\"figure\"/$ \nIt was set up in 1962 by the Department of Atomic Energy on Dr Vikram Sarabhai's initiative, and it chose Thumba near Thiruvananthapuram — close to the magnetic equator — for India's first sounding-rocket station.\nINCOSPAR was reorganised into ISRO in 1969, so option (a) is correct.","solHi":"भारतीय अंतरिक्ष कार्यक्रम\nINCOSPAR का पूर्ण रूप Indian National Committee for Space Research है, अतः अक्षर "N" का अर्थ National है।\n $\"figure\"/$ \nइसकी स्थापना 1962 में परमाणु ऊर्जा विभाग द्वारा डॉ. Vikram Sarabhai की पहल पर हुई और इसने भारत के पहले साउंडिंग रॉकेट केंद्र के लिए तिरुवनंतपुरम के निकट थुंबा को चुना, जो चुंबकीय भूमध्य रेखा के पास है।\n1969 में INCOSPAR का पुनर्गठन करके ISRO बनाया गया, इसलिए सही विकल्प (a) है।","pos":2,"neg":0.5},{"id":10987,"n":87,"subject":"General Awareness","stem":"An object has a weight of 441 N on Earth. What is the mass of the object ?","stemHi":"पृथ्वी पर किसी वस्तु का भार 441 N है। उस वस्तु का द्रव्यमान कितना है?","context":null,"contextHi":null,"options":[{"key":"a","text":"50 kg","textHi":null,"imageUrl":null},{"key":"b","text":"42 kg","textHi":null,"imageUrl":null},{"key":"c","text":"36 kg","textHi":null,"imageUrl":null},{"key":"d","text":"45 kg","textHi":null,"imageUrl":null}],"correct":"d","sol":"Mass and weight\nWeight is the gravitational force acting on a body: W=mg, where m is the mass and g the acceleration due to gravity.\nSo the mass is

m = \frac{W}{g}

.\nOn the Earth g=9.8 m/s

​^{2}

, and here W=441 N.\n

m = \frac{441}{9.8} = 45

kg.\n $\"figure\"/$ \nMass stays 45 kg everywhere, while the weight would change on the Moon; hence the correct option is (d).","solHi":"द्रव्यमान और भार\nभार किसी वस्तु पर लगने वाला गुरुत्वीय बल है: W=mg, जहाँ m द्रव्यमान है और g गुरुत्वीय त्वरण।\nअतः द्रव्यमान

m = \frac{W}{g}

।\nपृथ्वी पर g=9.8 m/s

​^{2}

है तथा यहाँ W=441 N है।\n

m = \frac{441}{9.8} = 45

kg।\n $\"figure\"/$ \nद्रव्यमान हर जगह 45 kg ही रहता है, जबकि चंद्रमा पर भार बदल जाता; इसलिए सही विकल्प (d) है।","pos":2,"neg":0.5},{"id":10988,"n":88,"subject":"General Awareness","stem":"According to NASA's research, the rings of which planet are disappearing at a worst-case-scenario rate?","stemHi":"NASA के अनुसंधान के अनुसार, किस ग्रह के वलय न्यूनतम-अनुकूल (worst-case) दर से लुप्त हो रहे हैं?","context":null,"contextHi":null,"options":[{"key":"a","text":"Mars","textHi":"मंगल","imageUrl":null},{"key":"b","text":"Saturn","textHi":"शनि","imageUrl":null},{"key":"c","text":"Venus","textHi":"शुक्र","imageUrl":null},{"key":"d","text":"Mercury","textHi":"बुध","imageUrl":null}],"correct":"b","sol":"Solar system — Saturn's rings\nNASA's research shows that the rings of Saturn are slowly disappearing.\nCharged icy particles of the rings spiral down along Saturn's magnetic field lines and fall into its atmosphere — a process called "ring rain" — draining enough water to fill an Olympic swimming pool in about half an hour.\nAt this worst-case rate the rings could vanish in roughly 100 million years, a very short span on the astronomical clock.\nMars, Venus and Mercury have no ring system at all, so option (b) is correct.","solHi":"सौरमंडल — शनि के वलय\nNASA के अनुसंधान से पता चलता है कि शनि के वलय धीरे-धीरे लुप्त हो रहे हैं।\nवलयों के आवेशित बर्फीले कण शनि की चुंबकीय बल-रेखाओं के सहारे नीचे गिरकर उसके वायुमंडल में समा जाते हैं — इस प्रक्रिया को "ring rain" कहते हैं — जिससे लगभग आधे घंटे में एक ओलंपिक तरणताल भर देने जितना जल नष्ट हो जाता है।\nइसी न्यूनतम-अनुकूल दर से वलय लगभग 10 करोड़ वर्षों में समाप्त हो सकते हैं, जो खगोलीय दृष्टि से बहुत कम समय है।\nमंगल, शुक्र और बुध के कोई वलय हैं ही नहीं, इसलिए सही विकल्प (b) है।","pos":2,"neg":0.5},{"id":10989,"n":89,"subject":"General Awareness","stem":"Around the year 1713, Sawai Raja Jai Singh of Amer was appointed as the governor of which region?","stemHi":"लगभग 1713 ईस्वी में आमेर के सवाई राजा जय सिंह को किस क्षेत्र का सूबेदार (गवर्नर) नियुक्त किया गया था?","context":null,"contextHi":null,"options":[{"key":"a","text":"Awadh","textHi":"अवध","imageUrl":null},{"key":"b","text":"Gujarat","textHi":"गुजरात","imageUrl":null},{"key":"c","text":"Deccan","textHi":"दक्कन","imageUrl":null},{"key":"d","text":"Malwa","textHi":"मालवा","imageUrl":null}],"correct":"d","sol":"Mughal provincial governors\nAround 1713 Sawai Raja Jai Singh II of Amer was appointed the Mughal governor (subahdar) of Malwa by Farrukhsiyar.\nMalwa mattered because it was the land bridge between north India and the Deccan and was the province the Marathas were pressing hardest; Jai Singh was given its governorship on three occasions — 1713, 1729 and 1732.\nHe is remembered even more as an astronomer: the founder of Jaipur city and the builder of the five Jantar Mantar observatories at Delhi, Jaipur, Ujjain, Mathura and Varanasi.\nHence the correct option is (d).","solHi":"मुग़ल प्रांतीय सूबेदार\nलगभग 1713 में आमेर के सवाई राजा जय सिंह द्वितीय को फ़र्रुख़सियर द्वारा मालवा का मुग़ल सूबेदार नियुक्त किया गया।\nमालवा इसलिए महत्वपूर्ण था क्योंकि यह उत्तर भारत और दक्कन के बीच स्थल-सेतु था तथा मराठों का सर्वाधिक दबाव इसी सूबे पर था; जय सिंह को तीन बार — 1713, 1729 और 1732 में — इसकी सूबेदारी मिली।\nउन्हें खगोलशास्त्री के रूप में और भी अधिक स्मरण किया जाता है: वे जयपुर नगर के संस्थापक तथा दिल्ली, जयपुर, उज्जैन, मथुरा और वाराणसी की पाँच जंतर-मंतर वेधशालाओं के निर्माता थे।\nइसलिए सही विकल्प (d) है।","pos":2,"neg":0.5},{"id":10990,"n":90,"subject":"General Awareness","stem":"Which of the following statements is correct regarding the sale of government assets such as the sale of shares in a Public Sector Undertaking (PSU) ?","stemHi":"सरकारी परिसंपत्तियों की बिक्री, जैसे किसी सार्वजनिक क्षेत्र के उपक्रम (PSU) के शेयरों की बिक्री, के संबंध में निम्नलिखित में से कौन-सा कथन सही है?","context":null,"contextHi":null,"options":[{"key":"a","text":"It increases the fiscal deficit permanently","textHi":"इससे राजकोषीय घाटा स्थायी रूप से बढ़ता है","imageUrl":null},{"key":"b","text":"Proceeds from the sale of shares form part of capital receipts","textHi":"शेयरों की बिक्री से प्राप्त राशि पूँजीगत प्राप्तियों का भाग होती है","imageUrl":null},{"key":"c","text":"Proceeds from the sale of shares are treated as revenue receipts","textHi":"शेयरों की बिक्री से प्राप्त राशि को राजस्व प्राप्ति माना जाता है","imageUrl":null},{"key":"d","text":"It leads to an increase in government liabilities","textHi":"इससे सरकार की देयताओं में वृद्धि होती है","imageUrl":null}],"correct":"b","sol":"Capital and revenue receipts\nSelling government assets — for example disinvesting shares of a PSU — yields capital receipts.\nThe test is simple: a receipt is a capital receipt if it either creates a liability or reduces the government's assets. Selling PSU shares reduces an asset and creates no liability, so it is a non-debt capital receipt.\n $\"figure\"/$ \nSuch a sale is a one-time inflow: it can narrow the fiscal deficit for that year but neither raises the deficit permanently nor adds to liabilities, which rules out (a), (c) and (d).\nHence the correct option is (b).","solHi":"पूँजीगत एवं राजस्व प्राप्तियाँ\nसरकारी परिसंपत्तियों की बिक्री — जैसे किसी PSU के शेयरों का विनिवेश — से पूँजीगत प्राप्तियाँ होती हैं।\nपहचान सरल है: कोई प्राप्ति पूँजीगत तब होती है जब वह या तो देयता उत्पन्न करे या सरकार की परिसंपत्ति घटाए। PSU के शेयर बेचने से परिसंपत्ति घटती है और कोई देयता नहीं बनती, अतः यह ऋण-रहित पूँजीगत प्राप्ति है।\n $\"figure\"/$ \nऐसी बिक्री एक बार की आय है: इससे उस वर्ष का राजकोषीय घाटा घट सकता है, किंतु न तो घाटा स्थायी रूप से बढ़ता है और न ही देयताएँ — अतः (a), (c) और (d) ग़लत हैं।\nइसलिए सही विकल्प (b) है।","pos":2,"neg":0.5},{"id":10991,"n":91,"subject":"General Awareness","stem":"The establishment of the Foreign Investment Promotion Board (FIPB) in India was a consequence of which Industrial Policy?","stemHi":"भारत में विदेशी निवेश संवर्धन बोर्ड (FIPB) की स्थापना किस औद्योगिक नीति का परिणाम थी?","context":null,"contextHi":null,"options":[{"key":"a","text":"1956","textHi":null,"imageUrl":null},{"key":"b","text":"1977","textHi":null,"imageUrl":null},{"key":"c","text":"1980","textHi":null,"imageUrl":null},{"key":"d","text":"1991","textHi":null,"imageUrl":null}],"correct":"d","sol":"New Industrial Policy 1991\nThe Foreign Investment Promotion Board (FIPB) was created as part of the New Industrial Policy of 1991.\nThat policy abolished industrial licensing for most industries, cut the list of industries reserved for the public sector from 17 to 8 and opened the economy to foreign direct investment; FIPB was the single window that cleared the FDI proposals needing government approval.\nFIPB was finally abolished in 2017, its work passing to the administrative ministries under DPIIT.\nHence the correct option is (d).","solHi":"नई औद्योगिक नीति 1991\nविदेशी निवेश संवर्धन बोर्ड (FIPB) की स्थापना 1991 की नई औद्योगिक नीति के अंतर्गत हुई थी।\nउस नीति ने अधिकांश उद्योगों से औद्योगिक लाइसेंस प्रणाली समाप्त की, सार्वजनिक क्षेत्र के लिए आरक्षित उद्योगों की संख्या 17 से घटाकर 8 की तथा अर्थव्यवस्था को प्रत्यक्ष विदेशी निवेश के लिए खोला; FIPB वह एकल खिड़की था जो सरकारी अनुमोदन वाले FDI प्रस्तावों को स्वीकृति देता था।\nFIPB को 2017 में समाप्त कर दिया गया और उसका कार्य DPIIT के अधीन संबंधित मंत्रालयों को सौंप दिया गया।\nइसलिए सही विकल्प (d) है।","pos":2,"neg":0.5},{"id":10992,"n":92,"subject":"General Awareness","stem":"Rani Lakshmibai was defeated and killed in which of the following years?","stemHi":"रानी लक्ष्मीबाई निम्नलिखित में से किस वर्ष परास्त होकर मारी गई थीं?","context":null,"contextHi":null,"options":[{"key":"a","text":"June 1858","textHi":"जून 1858","imageUrl":null},{"key":"b","text":"July 1857","textHi":"जुलाई 1857","imageUrl":null},{"key":"c","text":"February 1859","textHi":"फरवरी 1859","imageUrl":null},{"key":"d","text":"August 1860","textHi":"अगस्त 1860","imageUrl":null}],"correct":"a","sol":"Revolt of 1857\nRani Lakshmibai of Jhansi was defeated and killed in June 1858.\nAfter losing Jhansi to Hugh Rose she joined Tatya Tope and Rao Sahib, captured the fort of Gwalior, and fell fighting the British near Kotah-ki-Serai on 17-18 June 1858.\nHer death effectively ended the organised phase of the Revolt of 1857 in Bundelkhand, and the other dates lie outside that decisive Gwalior campaign.\nHence the correct option is (a).","solHi":"1857 का विद्रोह\nझाँसी की रानी लक्ष्मीबाई जून 1858 में परास्त होकर वीरगति को प्राप्त हुईं।\nHugh Rose से झाँसी हारने के बाद वे तात्या टोपे और राव साहब से जा मिलीं, ग्वालियर के क़िले पर अधिकार किया और 17-18 जून 1858 को कोटा-की-सराय के निकट अंग्रेज़ों से लड़ते हुए वीरगति को प्राप्त हुईं।\nउनकी मृत्यु से बुंदेलखंड में 1857 के विद्रोह का संगठित चरण लगभग समाप्त हो गया, तथा शेष तिथियाँ इस निर्णायक ग्वालियर अभियान से बाहर पड़ती हैं।\nइसलिए सही विकल्प (a) है।","pos":2,"neg":0.5},{"id":10993,"n":93,"subject":"General Awareness","stem":"During 2001-02, the excise duty structure in India was rationalised to a single CENVAT (Central Value Added Tax) rate of how many per cent?","stemHi":"2001-02 के दौरान भारत में उत्पाद शुल्क की संरचना को युक्तिसंगत बनाकर कितने प्रतिशत की एकल CENVAT (केंद्रीय मूल्य वर्धित कर) दर पर लाया गया था?","context":null,"contextHi":null,"options":[{"key":"a","text":"16","textHi":null,"imageUrl":null},{"key":"b","text":"12","textHi":null,"imageUrl":null},{"key":"c","text":"18","textHi":null,"imageUrl":null},{"key":"d","text":"20","textHi":null,"imageUrl":null}],"correct":"a","sol":"Excise duty and CENVAT\nThe many excise slabs were merged in the Budget of 2000-01, and during 2001-02 excise duty ran on a single CENVAT rate of 16 per cent.\nCENVAT let a manufacturer set off the duty already paid on inputs against the duty payable on the finished product, so tax fell only on the value added and the cascading of tax upon tax stopped.\nThis single-rate, input-credit structure was the direct ancestor of the input-tax-credit chain used in today's GST.\nHence the correct option is (a).","solHi":"उत्पाद शुल्क और CENVAT\nउत्पाद शुल्क की अनेक दरों को 2000-01 के बजट में मिलाकर एक कर दिया गया और 2001-02 के दौरान उत्पाद शुल्क एकल CENVAT दर 16 प्रतिशत पर चला।\nCENVAT के अंतर्गत निर्माता निवेशों (inputs) पर पहले चुकाए गए शुल्क को तैयार माल पर देय शुल्क में समायोजित कर सकता था, अतः कर केवल मूल्यवर्धन पर लगता था और कर-पर-कर का संचयी प्रभाव समाप्त हो गया।\nयही एकल-दर एवं निवेश-क्रेडिट व्यवस्था आज की GST की इनपुट टैक्स क्रेडिट शृंखला की पूर्वज है।\nइसलिए सही विकल्प (a) है।","pos":2,"neg":0.5},{"id":10994,"n":94,"subject":"General Awareness","stem":"Who holds the Contingency Fund of an Indian State?","stemHi":"भारत के किसी राज्य की आकस्मिकता निधि किसके पास रहती है?","context":null,"contextHi":null,"options":[{"key":"a","text":"Chief Secretary","textHi":"मुख्य सचिव","imageUrl":null},{"key":"b","text":"Accountant General","textHi":"महालेखाकार","imageUrl":null},{"key":"c","text":"Governor","textHi":"राज्यपाल","imageUrl":null},{"key":"d","text":"Advocate General","textHi":"महाधिवक्ता","imageUrl":null}],"correct":"c","sol":"Contingency Fund of a State\nThe Contingency Fund of a State is held by the Governor.\nArticle 267(2) allows a State legislature to create such a fund and place it at the disposal of the Governor, who may sanction advances from it to meet unforeseen expenditure.\n $\"figure\"/$ \nThe advance must afterwards be recouped once the State Legislature votes the expenditure, so the fund is only a bridge and not a fresh source of money.\nHence the correct option is (c).","solHi":"राज्य की आकस्मिकता निधि\nराज्य की आकस्मिकता निधि राज्यपाल के पास रहती है।\nअनुच्छेद 267(2) राज्य विधानमंडल को ऐसी निधि बनाने और उसे राज्यपाल के अधिकार में रखने की अनुमति देता है, जो अप्रत्याशित व्यय की पूर्ति हेतु उसमें से अग्रिम स्वीकृत कर सकते हैं।\n $\"figure\"/$ \nबाद में जब राज्य विधानमंडल उस व्यय को स्वीकृति दे देता है, तब यह अग्रिम राशि निधि में लौटानी होती है, अतः यह निधि केवल एक सेतु है, धन का नया स्रोत नहीं।\nइसलिए सही विकल्प (c) है।","pos":2,"neg":0.5},{"id":10995,"n":95,"subject":"General Awareness","stem":"Which port experiences significant silt deposition in the Hugli River, affecting its operations?","stemHi":"हुगली नदी में गाद के अत्यधिक जमाव से किस बंदरगाह का संचालन प्रभावित होता है?","context":null,"contextHi":null,"options":[{"key":"a","text":"Paradip Port","textHi":"पारादीप बंदरगाह","imageUrl":null},{"key":"b","text":"Vishakhapatnam Port","textHi":"विशाखापत्तनम बंदरगाह","imageUrl":null},{"key":"c","text":"Haldia Port","textHi":"हल्दिया बंदरगाह","imageUrl":null},{"key":"d","text":"Kolkata Port","textHi":"कोलकाता बंदरगाह","imageUrl":null}],"correct":"d","sol":"Ports of India\nKolkata Port (now Syama Prasad Mookerjee Port) is the port whose working is hit by heavy silting in the Hugli.\nIt is a riverine port lying about 128 km upstream from the sea; the Hugli, a distributary of the Ganga, dumps large quantities of alluvium there, so the navigable depth of the channel keeps shrinking.\nCostly round-the-year dredging is therefore needed, and even so the largest ships cannot reach it — which is precisely why Haldia was developed downstream as its deep-water auxiliary port.\nHence the correct option is (d).","solHi":"भारत के बंदरगाह\nकोलकाता बंदरगाह (अब श्यामा प्रसाद मुखर्जी पोर्ट) वही बंदरगाह है जिसका कार्य हुगली में भारी गाद जमाव से प्रभावित होता है।\nयह समुद्र से लगभग 128 किमी भीतर स्थित नदीय बंदरगाह है; गंगा की वितरिका हुगली यहाँ भारी मात्रा में जलोढ़ गाद जमा करती है, जिससे जलमार्ग की नौगम्य गहराई निरंतर घटती रहती है।\nइसलिए वर्ष भर महँगी ड्रेजिंग करनी पड़ती है, फिर भी सबसे बड़े जहाज़ यहाँ नहीं पहुँच पाते — इसी कारण नीचे की ओर हल्दिया को इसके गहरे जल वाले सहायक बंदरगाह के रूप में विकसित किया गया।\nइसलिए सही विकल्प (d) है।","pos":2,"neg":0.5},{"id":10996,"n":96,"subject":"General Awareness","stem":"What was the main role of the Planning Commission of India?","stemHi":"भारत के योजना आयोग की मुख्य भूमिका क्या थी?","context":null,"contextHi":null,"options":[{"key":"a","text":"To control government expenditure","textHi":"सरकारी व्यय को नियंत्रित करना","imageUrl":null},{"key":"b","text":"To manage public debt","textHi":"सार्वजनिक ऋण का प्रबंधन करना","imageUrl":null},{"key":"c","text":"To formulate and implement Five-Year Plans","textHi":"पंचवर्षीय योजनाएँ बनाना और उन्हें लागू करना","imageUrl":null},{"key":"d","text":"To supervise banking policies","textHi":"बैंकिंग नीतियों का पर्यवेक्षण करना","imageUrl":null}],"correct":"c","sol":"Planning Commission of India\nThe main role of the Planning Commission was to formulate the Five-Year Plans and to oversee their implementation.\nIt was set up by a Cabinet resolution in March 1950 — an extra-constitutional, non-statutory body with the Prime Minister as its chairman — and it assessed the country's material, capital and human resources and allotted them plan period by plan period.\nIt also reviewed the progress of each plan and suggested policy corrections; it was replaced by NITI Aayog on 1 January 2015.\nControlling expenditure and managing public debt are the Finance Ministry's work and supervising banks is the RBI's, so option (c) is correct.","solHi":"भारत का योजना आयोग\nयोजना आयोग की मुख्य भूमिका पंचवर्षीय योजनाएँ तैयार करना तथा उनके क्रियान्वयन की देखरेख करना थी।\nइसकी स्थापना मार्च 1950 में मंत्रिमंडल के एक प्रस्ताव द्वारा हुई — यह संविधानेतर एवं ग़ैर-सांविधिक निकाय था जिसके अध्यक्ष प्रधानमंत्री होते थे — और यह देश के भौतिक, पूँजीगत तथा मानव संसाधनों का आकलन कर उन्हें प्रत्येक योजना-अवधि के लिए आवंटित करता था।\nयह प्रत्येक योजना की प्रगति की समीक्षा भी करता था और नीतिगत सुधार सुझाता था; 1 जनवरी 2015 को इसके स्थान पर नीति आयोग बनाया गया।\nव्यय पर नियंत्रण तथा सार्वजनिक ऋण का प्रबंधन वित्त मंत्रालय का कार्य है और बैंकों का पर्यवेक्षण RBI का, इसलिए सही विकल्प (c) है।","pos":2,"neg":0.5},{"id":10997,"n":97,"subject":"General Awareness","stem":"In which year was the National Youth Policy launched in India?","stemHi":"भारत में राष्ट्रीय युवा नीति किस वर्ष प्रारंभ की गई थी?","context":null,"contextHi":null,"options":[{"key":"a","text":"2000","textHi":null,"imageUrl":null},{"key":"b","text":"2012","textHi":null,"imageUrl":null},{"key":"c","text":"2014","textHi":null,"imageUrl":null},{"key":"d","text":"2016","textHi":null,"imageUrl":null}],"correct":"c","sol":"National Youth Policy\nThe National Youth Policy now in force was launched in 2014.\nNYP-2014, released on 21 February 2014 by the Ministry of Youth Affairs and Sports, replaced the policy of 2003 and defines 'youth' as the 15-29 age group.\nIt sets five priority areas: education; employment and skill development; entrepreneurship; health and healthy lifestyle; and social values and community engagement.\nHence the correct option is (c).","solHi":"राष्ट्रीय युवा नीति\nवर्तमान में लागू राष्ट्रीय युवा नीति 2014 में प्रारंभ की गई थी।\nNYP-2014 को 21 फरवरी 2014 को युवा कार्यक्रम एवं खेल मंत्रालय ने जारी किया; इसने 2003 की नीति का स्थान लिया और इसमें 'युवा' को 15-29 आयु वर्ग के रूप में परिभाषित किया गया।\nइसमें पाँच प्राथमिकता क्षेत्र निर्धारित हैं: शिक्षा; रोज़गार एवं कौशल विकास; उद्यमिता; स्वास्थ्य एवं स्वस्थ जीवनशैली; तथा सामाजिक मूल्य एवं सामुदायिक सहभागिता।\nइसलिए सही विकल्प (c) है।","pos":2,"neg":0.5},{"id":10998,"n":98,"subject":"General Awareness","stem":"In humans, which organ of the digestive system secretes lipase to digest emulsified fats?","stemHi":"मनुष्य में, पाचन तंत्र का कौन-सा अंग इमल्सीकृत वसा के पाचन के लिए लाइपेज का स्राव करता है?","context":null,"contextHi":null,"options":[{"key":"a","text":"Stomach","textHi":"आमाशय","imageUrl":null},{"key":"b","text":"Liver","textHi":"यकृत","imageUrl":null},{"key":"c","text":"Pancreas","textHi":"अग्न्याशय","imageUrl":null},{"key":"d","text":"Esophagus","textHi":"ग्रासनली","imageUrl":null}],"correct":"c","sol":"Human digestive system\nThe lipase that digests emulsified fat is secreted by the pancreas.\nBile from the liver carries no enzyme at all; it only breaks large fat globules into tiny droplets (emulsification) so that the enzyme gets a far larger surface to work on.\nPancreatic juice then pours lipase into the duodenum, where it splits these fat droplets into fatty acids and glycerol.\n $\"figure\"/$ \nHence the correct option is (c).","solHi":"मानव पाचन तंत्र\nइमल्सीकृत वसा का पाचन करने वाला लाइपेज अग्न्याशय द्वारा स्रावित होता है।\nयकृत से आने वाले पित्त में कोई एंज़ाइम नहीं होता; यह केवल वसा के बड़े गोलकों को सूक्ष्म बूँदों में तोड़ता है (इमल्सीकरण), जिससे एंज़ाइम को कार्य करने के लिए कहीं अधिक सतह मिल जाती है।\nइसके बाद अग्न्याशयी रस ग्रहणी में लाइपेज छोड़ता है, जो इन वसा-बूँदों को वसा अम्ल तथा ग्लिसरॉल में तोड़ देता है।\n $\"figure\"/$ \nइसलिए सही विकल्प (c) है।","pos":2,"neg":0.5},{"id":10999,"n":99,"subject":"General Awareness","stem":"Which statement about haemoglobin in humans is correct ?\nI. It acts as the respiratory pigment.\nII. It is responsible for blood clotting.","stemHi":"मनुष्य में हीमोग्लोबिन के बारे में कौन-सा कथन सही है?\nI. यह श्वसन वर्णक के रूप में कार्य करता है।\nII. यह रक्त के थक्का जमने के लिए उत्तरदायी है।","context":null,"contextHi":null,"options":[{"key":"a","text":"Only II","textHi":"केवल II","imageUrl":null},{"key":"b","text":"Neither I nor II","textHi":"न तो I और न ही II","imageUrl":null},{"key":"c","text":"Only I","textHi":"केवल I","imageUrl":null},{"key":"d","text":"Both I and II","textHi":"I और II दोनों","imageUrl":null}],"correct":"c","sol":"Haemoglobin and blood\nStatement I is correct: haemoglobin is the red, iron-containing respiratory pigment of the red blood cells, which binds oxygen in the lungs as oxyhaemoglobin and releases it to the tissues.\nStatement II is wrong: clotting is done by the platelets and by plasma factors such as fibrinogen and prothrombin, not by haemoglobin.\n $\"figure\"/$ \nOnly I is therefore true, so option (c) is correct.","solHi":"हीमोग्लोबिन और रक्त\nकथन I सही है: हीमोग्लोबिन लाल रक्त कणिकाओं का लाल, लोहयुक्त श्वसन वर्णक है, जो फेफड़ों में ऑक्सीजन से जुड़कर ऑक्सीहीमोग्लोबिन बनाता है और ऊतकों में उसे मुक्त करता है।\nकथन II ग़लत है: रक्त का थक्का बनाने का कार्य प्लेटलेट्स तथा फ़ाइब्रिनोजन और प्रोथ्रोम्बिन जैसे प्लाज़्मा कारकों द्वारा होता है, हीमोग्लोबिन द्वारा नहीं।\n $\"figure\"/$ \nअतः केवल I सत्य है, इसलिए सही विकल्प (c) है।","pos":2,"neg":0.5},{"id":11000,"n":100,"subject":"General Awareness","stem":"In ancient India, the summaries of conferences were referred to as:","stemHi":"प्राचीन भारत में, सभाओं के सार-संक्षेप को क्या कहा जाता था?","context":null,"contextHi":null,"options":[{"key":"a","text":"Agamas","textHi":"आगम","imageUrl":null},{"key":"b","text":"Vedas","textHi":"वेद","imageUrl":null},{"key":"c","text":"Upanishads","textHi":"उपनिषद्","imageUrl":null},{"key":"d","text":"Samhitas","textHi":"संहिता","imageUrl":null}],"correct":"d","sol":"Vedic literature\nIn ancient India the compiled summaries of what the assemblies settled were called Samhitas.\nThe word samhita literally means 'put together, a collection', and the Samhitas form the earliest layer of Vedic literature — the collected hymns of the Rigveda, Yajurveda, Samaveda and Atharvaveda.\n $\"figure\"/$ \nThe Upanishads are later philosophical texts, the Agamas deal with temple ritual and worship, and 'Vedas' names the whole body of sacred literature rather than a summary — so option (d) is correct.","solHi":"वैदिक साहित्य\nप्राचीन भारत में सभाओं में जो निश्चित होता था, उसके संकलित सार को संहिता कहा जाता था।\n'संहिता' शब्द का शाब्दिक अर्थ है 'एक साथ रखा हुआ, संकलन', और संहिताएँ वैदिक साहित्य का प्राचीनतम स्तर हैं — ऋग्वेद, यजुर्वेद, सामवेद तथा अथर्ववेद के संकलित सूक्त।\n $\"figure\"/$ \nउपनिषद् परवर्ती दार्शनिक ग्रंथ हैं, आगम मंदिर-कर्मकांड एवं उपासना से संबंधित हैं, तथा 'वेद' समस्त पवित्र साहित्य का नाम है, कोई सार नहीं — इसलिए सही विकल्प (d) है।","pos":2,"neg":0.5}],"test":{"slug":"ssc-chsl-tier-1--12-nov-2025-shift-3","title":"SSC CHSL Tier-1 12 November 2025 Shift-3 Previous Year Paper","examName":"CHSL Tier-1","paperLabel":"12 November 2025 · Shift 3","sectionSubject":null,"durationMinutes":60,"format":"full_test"}}]