28:I[81166,["/_next/static/immutable/chunks/2corl6wyj4669.js","/_next/static/immutable/chunks/38n271cv4vmyv.js","/_next/static/immutable/chunks/2pf73jja2520w.js"],"default"] 29:T418,Hexagon area

Side =

\frac{84}{6}

= 14 cm. Area =

\frac{3 \sqrt{3}}{2}

a² =

\frac{3 \sqrt{3}}{2}

× 196 = 294

\sqrt{3}

. Taking

\sqrt{3}

= 1.73: 294 × 1.73. ≈ 508.62 cm² — option (a).2a:T44b,

भुजा =

\frac{84}{6}

= 14 cm। क्षेत्रफल =

\frac{3 \sqrt{3}}{2}

a² =

\frac{3 \sqrt{3}}{2}

× 196 = 294

\sqrt{3}

।

\sqrt{3}

= 1.73 लेने पर: 294 × 1.73। ≈ 508.62 cm² — विकल्प (a)।2b:T404,Inradius formula

Area of a triangle in terms of its inradius: T = r × s, where s is the semi-perimeter. s =

\frac{p + q + r}{2}

. So r =

\frac{T}{s}

= T ÷

\frac{p + q + r}{2}

. =

\frac{2 T}{p + q + r}

— option (b).2c:T71a,Directions (Qs. 96-100): In the following passage some words have been deleted. Read the passage carefully and select the most appropriate option to fill in each blank. To discuss the political as an abstract structure is, perhaps, already to yield to the logic of the archive: that which preserves through containment, and (96) ____ through the act of naming. The subject in this space is neither born nor made but remains suspended, deferred within the machinic interplay of signifiers. One becomes governable only when one appears, and to appear is already to surrender to the syntax of recognition. Power does not suppress but instead surfaces — it emerges in the folds of citation and the gentle violence of classification. The biometric gaze is not ocular but computational; it is defined not by what it sees, but by what it does not allow to vanish. Resistance, if it exists at all, cannot be found in opposition, but in (97) ____ — in the refusal to be coherent and in the grammarless whisper. The body, meanwhile, becomes a ledger that is inscribed, decoded and re-encoded. What justice can exist in such a system? It is not the justice of law, but of rupture — a justice that unbinds and refuses the terms of its own invocation. It is not reparation that is sought, but (98) ____ — the unworking of systems and the destitution of legibility. To enter this mode is to abandon appeal and relinquish the comfort of meaning. One must instead submit to the possibility of a justice that never arrives, remaining (99) ____ , excessive and unlocatable. Only then can we imagine a politics not of representation, but of presence without capture and subjectivity without scaffolding. What remains, finally, is not identity but (100) ____ — a presence that eludes and persists in the absence of affirmation.2d:T71a,Directions (Qs. 96-100): In the following passage some words have been deleted. Read the passage carefully and select the most appropriate option to fill in each blank. To discuss the political as an abstract structure is, perhaps, already to yield to the logic of the archive: that which preserves through containment, and (96) ____ through the act of naming. The subject in this space is neither born nor made but remains suspended, deferred within the machinic interplay of signifiers. One becomes governable only when one appears, and to appear is already to surrender to the syntax of recognition. Power does not suppress but instead surfaces — it emerges in the folds of citation and the gentle violence of classification. The biometric gaze is not ocular but computational; it is defined not by what it sees, but by what it does not allow to vanish. Resistance, if it exists at all, cannot be found in opposition, but in (97) ____ — in the refusal to be coherent and in the grammarless whisper. The body, meanwhile, becomes a ledger that is inscribed, decoded and re-encoded. What justice can exist in such a system? It is not the justice of law, but of rupture — a justice that unbinds and refuses the terms of its own invocation. It is not reparation that is sought, but (98) ____ — the unworking of systems and the destitution of legibility. To enter this mode is to abandon appeal and relinquish the comfort of meaning. One must instead submit to the possibility of a justice that never arrives, remaining (99) ____ , excessive and unlocatable. Only then can we imagine a politics not of representation, but of presence without capture and subjectivity without scaffolding. What remains, finally, is not identity but (100) ____ — a presence that eludes and persists in the absence of affirmation.2e:T71a,Directions (Qs. 96-100): In the following passage some words have been deleted. Read the passage carefully and select the most appropriate option to fill in each blank. To discuss the political as an abstract structure is, perhaps, already to yield to the logic of the archive: that which preserves through containment, and (96) ____ through the act of naming. The subject in this space is neither born nor made but remains suspended, deferred within the machinic interplay of signifiers. One becomes governable only when one appears, and to appear is already to surrender to the syntax of recognition. Power does not suppress but instead surfaces — it emerges in the folds of citation and the gentle violence of classification. The biometric gaze is not ocular but computational; it is defined not by what it sees, but by what it does not allow to vanish. Resistance, if it exists at all, cannot be found in opposition, but in (97) ____ — in the refusal to be coherent and in the grammarless whisper. The body, meanwhile, becomes a ledger that is inscribed, decoded and re-encoded. What justice can exist in such a system? It is not the justice of law, but of rupture — a justice that unbinds and refuses the terms of its own invocation. It is not reparation that is sought, but (98) ____ — the unworking of systems and the destitution of legibility. To enter this mode is to abandon appeal and relinquish the comfort of meaning. One must instead submit to the possibility of a justice that never arrives, remaining (99) ____ , excessive and unlocatable. Only then can we imagine a politics not of representation, but of presence without capture and subjectivity without scaffolding. What remains, finally, is not identity but (100) ____ — a presence that eludes and persists in the absence of affirmation.2f:T71a,Directions (Qs. 96-100): In the following passage some words have been deleted. Read the passage carefully and select the most appropriate option to fill in each blank. To discuss the political as an abstract structure is, perhaps, already to yield to the logic of the archive: that which preserves through containment, and (96) ____ through the act of naming. The subject in this space is neither born nor made but remains suspended, deferred within the machinic interplay of signifiers. One becomes governable only when one appears, and to appear is already to surrender to the syntax of recognition. Power does not suppress but instead surfaces — it emerges in the folds of citation and the gentle violence of classification. The biometric gaze is not ocular but computational; it is defined not by what it sees, but by what it does not allow to vanish. Resistance, if it exists at all, cannot be found in opposition, but in (97) ____ — in the refusal to be coherent and in the grammarless whisper. The body, meanwhile, becomes a ledger that is inscribed, decoded and re-encoded. What justice can exist in such a system? It is not the justice of law, but of rupture — a justice that unbinds and refuses the terms of its own invocation. It is not reparation that is sought, but (98) ____ — the unworking of systems and the destitution of legibility. To enter this mode is to abandon appeal and relinquish the comfort of meaning. One must instead submit to the possibility of a justice that never arrives, remaining (99) ____ , excessive and unlocatable. Only then can we imagine a politics not of representation, but of presence without capture and subjectivity without scaffolding. What remains, finally, is not identity but (100) ____ — a presence that eludes and persists in the absence of affirmation.30:T71a,Directions (Qs. 96-100): In the following passage some words have been deleted. Read the passage carefully and select the most appropriate option to fill in each blank. To discuss the political as an abstract structure is, perhaps, already to yield to the logic of the archive: that which preserves through containment, and (96) ____ through the act of naming. The subject in this space is neither born nor made but remains suspended, deferred within the machinic interplay of signifiers. One becomes governable only when one appears, and to appear is already to surrender to the syntax of recognition. Power does not suppress but instead surfaces — it emerges in the folds of citation and the gentle violence of classification. The biometric gaze is not ocular but computational; it is defined not by what it sees, but by what it does not allow to vanish. Resistance, if it exists at all, cannot be found in opposition, but in (97) ____ — in the refusal to be coherent and in the grammarless whisper. The body, meanwhile, becomes a ledger that is inscribed, decoded and re-encoded. What justice can exist in such a system? It is not the justice of law, but of rupture — a justice that unbinds and refuses the terms of its own invocation. It is not reparation that is sought, but (98) ____ — the unworking of systems and the destitution of legibility. To enter this mode is to abandon appeal and relinquish the comfort of meaning. One must instead submit to the possibility of a justice that never arrives, remaining (99) ____ , excessive and unlocatable. Only then can we imagine a politics not of representation, but of presence without capture and subjectivity without scaffolding. What remains, finally, is not identity but (100) ____ — a presence that eludes and persists in the absence of affirmation.1e:["$","$L28",null,{"mode":"practice","dropped":0,"bilingual":true,"choiceSubjects":[],"questions":[{"id":1201,"n":1,"subject":"General Intelligence & Reasoning","stem":"Using the reverse code (Z = 1 to A = 26), what is the sum of the reverse positions of the first and last letters of "INTELLIGENCE"?","stemHi":"उल्टे कूट (Z = 1 से A = 26) का प्रयोग करते हुए "INTELLIGENCE" के पहले और अंतिम अक्षर के उल्टे स्थान-मानों का योग क्या है?","context":null,"contextHi":null,"options":[{"key":"a","text":"35","textHi":null,"imageUrl":null},{"key":"b","text":"40","textHi":null,"imageUrl":null},{"key":"c","text":"48","textHi":null,"imageUrl":null},{"key":"d","text":"38","textHi":null,"imageUrl":null}],"correct":"b","sol":"Reverse place values\n $\"figure\"/$ \nIn the reverse code, value = 27 − normal position.\nFirst letter I is 9th, so its reverse value = 27 − 9 = 18.\nLast letter E is 5th, so its reverse value = 27 − 5 = 22.\n18 + 22 = 40 — option (b).","solHi":" $\"figure\"/$ \nउल्टे कूट में मान = 27 − सामान्य स्थान।\nपहला अक्षर I 9वाँ है, अतः उसका उल्टा मान = 27 − 9 = 18।\nअंतिम अक्षर E 5वाँ है, अतः उसका उल्टा मान = 27 − 5 = 22।\n18 + 22 = 40 — विकल्प (b)।","pos":2,"neg":0.5},{"id":1202,"n":2,"subject":"General Intelligence & Reasoning","stem":"Choose the address that is the same as the one given below.\nFlat 505, Tower-B, Shastri Nagar, Jaipur, Rajasthan - 302001","stemHi":"नीचे दिए गए पते के समान पता चुनिए।\nFlat 505, Tower-B, Shastri Nagar, Jaipur, Rajasthan - 302001","context":null,"contextHi":null,"options":[{"key":"a","text":"Flat 505, Tower-B, Shastri Nagar, Jaipur, Gujarat - 302001","textHi":null,"imageUrl":null},{"key":"b","text":"Flat 505, Tower-B, Shastri Nagar, Jaipur, Rajasthan - 302001","textHi":null,"imageUrl":null},{"key":"c","text":"Flat 505, Tower-B, Shastri Nagar, Jaipur, Madhya Pradesh - 302001","textHi":null,"imageUrl":null},{"key":"d","text":"Flat 505, Tower-B, Shastri Nagar, Jaipur, Uttar Pradesh - 302001","textHi":null,"imageUrl":null}],"correct":"b","sol":"Address matching\nOnly the state name differs across the four options.\n(a) has Gujarat, (c) Madhya Pradesh and (d) Uttar Pradesh.\nThe sample names Rajasthan, which only (b) carries.\nHence option (b).","solHi":"चारों विकल्पों में केवल राज्य का नाम भिन्न है।\n(a) में गुजरात, (c) में मध्य प्रदेश और (d) में उत्तर प्रदेश है।\nनमूने में राजस्थान है, जो केवल (b) में है।\nअतः विकल्प (b)।","pos":2,"neg":0.5},{"id":1203,"n":3,"subject":"General Intelligence & Reasoning","stem":"The seminar in Nagpur was 3 days after Aurangabad, and Nashik hosted its seminar 1 day before Nagpur. If Aurangabad was on 2nd March, when was Nashik's seminar?","stemHi":"नागपुर की संगोष्ठी औरंगाबाद के 3 दिन बाद हुई, और नासिक ने अपनी संगोष्ठी नागपुर से 1 दिन पहले आयोजित की। यदि औरंगाबाद 2 मार्च को था, तो नासिक की संगोष्ठी कब हुई?","context":null,"contextHi":null,"options":[{"key":"a","text":"3rd March","textHi":"3 मार्च","imageUrl":null},{"key":"b","text":"4th March","textHi":"4 मार्च","imageUrl":null},{"key":"c","text":"5th March","textHi":"5 मार्च","imageUrl":null},{"key":"d","text":"6th March","textHi":"6 मार्च","imageUrl":null}],"correct":"b","sol":"Date reasoning\n $\"figure\"/$ \nAurangabad was on 2 March.\nNagpur was 3 days later: 2 + 3 = 5 March.\nNashik was 1 day before Nagpur.\n5 − 1 = 4 March — option (b).","solHi":" $\"figure\"/$ \nऔरंगाबाद 2 मार्च को था।\nनागपुर 3 दिन बाद: 2 + 3 = 5 मार्च।\nनासिक नागपुर से 1 दिन पहले था।\n5 − 1 = 4 मार्च — विकल्प (b)।","pos":2,"neg":0.5},{"id":1204,"n":4,"subject":"General Intelligence & Reasoning","stem":"If 3 * 3 = 27 and 4 * 4 = 256, then 5 * 5 = ?","stemHi":"यदि 3 * 3 = 27 और 4 * 4 = 256 है, तो 5 * 5 = ?","context":null,"contextHi":null,"options":[{"key":"a","text":"3125","textHi":null,"imageUrl":null},{"key":"b","text":"2090","textHi":null,"imageUrl":null},{"key":"c","text":"900","textHi":null,"imageUrl":null},{"key":"d","text":"2048","textHi":null,"imageUrl":null}],"correct":"a","sol":"Self-power pattern\n $\"figure\"/$ \nRule: a * a = aᵃ, the number raised to its own power.\nCheck: 3³ = 27 ✓ and 4⁴ = 256 ✓.\nSo 5 * 5 = 5⁵.\n5 × 5 × 5 × 5 × 5 = 3125 — option (a).","solHi":" $\"figure\"/$ \nनियम: a * a = aᵃ, अर्थात संख्या की अपनी ही घात।\nजाँच: 3³ = 27 ✓ और 4⁴ = 256 ✓।\nअतः 5 * 5 = 5⁵।\n5 × 5 × 5 × 5 × 5 = 3125 — विकल्प (a)।","pos":2,"neg":0.5},{"id":1205,"n":5,"subject":"General Intelligence & Reasoning","stem":"Read the given statement and conclusions carefully. Decide which of the given conclusions is/are definitely true from the statement.\nStatement: A = B ≥ D > E = C ≥ F > G\nConclusion I: B ≥ F\nConclusion II: E = F","stemHi":"दिए गए कथन और निष्कर्षों को ध्यानपूर्वक पढ़िए तथा बताइए कौन-सा निष्कर्ष निश्चित रूप से सत्य है।\nकथन: A = B ≥ D > E = C ≥ F > G\nनिष्कर्ष I: B ≥ F\nनिष्कर्ष II: E = F","context":null,"contextHi":null,"options":[{"key":"a","text":"Both Conclusion I and Conclusion II are true","textHi":"निष्कर्ष I और II दोनों सत्य हैं","imageUrl":null},{"key":"b","text":"Both Conclusion I and Conclusion II are false","textHi":"निष्कर्ष I और II दोनों असत्य हैं","imageUrl":null},{"key":"c","text":"Only Conclusion I is true","textHi":"केवल निष्कर्ष I सत्य है","imageUrl":null},{"key":"d","text":"Only Conclusion II is true","textHi":"केवल निष्कर्ष II सत्य है","imageUrl":null}],"correct":"c","sol":"Coded inequality\n $\"figure\"/$ \nChain: B ≥ D > E = C ≥ F, so B is strictly greater than F.\n"B > F" certainly satisfies "B ≥ F" — Conclusion I is true.\nFrom E = C ≥ F we only get E ≥ F; equality is not forced, so II is not definite.\nOnly Conclusion I — option (c).","solHi":" $\"figure\"/$ \nशृंखला: B ≥ D > E = C ≥ F, अतः B निश्चित रूप से F से बड़ा है।\n"B > F" स्वयं "B ≥ F" को संतुष्ट करता है — निष्कर्ष I सत्य।\nE = C ≥ F से केवल E ≥ F मिलता है; समानता आवश्यक नहीं, अतः II निश्चित नहीं।\nकेवल निष्कर्ष I — विकल्प (c)।","pos":2,"neg":0.5},{"id":1206,"n":6,"subject":"General Intelligence & Reasoning","stem":"X is the father of Y and Z. How are Y and Z related?","stemHi":"X, Y और Z का पिता है। Y और Z का आपस में क्या संबंध है?","context":null,"contextHi":null,"options":[{"key":"a","text":"Father","textHi":"पिता","imageUrl":null},{"key":"b","text":"Grandmother","textHi":"दादी","imageUrl":null},{"key":"c","text":"Siblings","textHi":"सहोदर (भाई-बहन)","imageUrl":null},{"key":"d","text":"Mother","textHi":"माता","imageUrl":null}],"correct":"c","sol":"Blood relation\n $\"figure\"/$ \nY and Z share the same father, X.\nChildren of the same parent are siblings.\nTheir genders are not given, so no closer term can be used.\nHence siblings — option (c).","solHi":" $\"figure\"/$ \nY और Z का पिता एक ही है — X।\nएक ही माता-पिता की संतानें सहोदर कहलाती हैं।\nउनका लिंग नहीं बताया गया, अतः इससे निकट शब्द प्रयोग नहीं हो सकता।\nअतः सहोदर — विकल्प (c)।","pos":2,"neg":0.5},{"id":1207,"n":7,"subject":"General Intelligence & Reasoning","stem":"Find the missing number:\n16 : 4097 :: 18 : ?","stemHi":"लुप्त संख्या ज्ञात कीजिए:\n16 : 4097 :: 18 : ?","context":null,"contextHi":null,"options":[{"key":"a","text":"5833","textHi":null,"imageUrl":null},{"key":"b","text":"5802","textHi":null,"imageUrl":null},{"key":"c","text":"5912","textHi":null,"imageUrl":null},{"key":"d","text":"5824","textHi":null,"imageUrl":null}],"correct":"a","sol":"Cube + 1\n $\"figure\"/$ \nRule: the second number is the cube of the first, plus 1.\n16³ = 4096, and 4096 + 1 = 4097 ✓.\n18³ = 5832.\n5832 + 1 = 5833 — option (a).","solHi":" $\"figure\"/$ \nनियम: दूसरी संख्या पहली के घन में 1 जोड़कर बनती है।\n16³ = 4096, और 4096 + 1 = 4097 ✓।\n18³ = 5832।\n5832 + 1 = 5833 — विकल्प (a)।","pos":2,"neg":0.5},{"id":1208,"n":8,"subject":"General Intelligence & Reasoning","stem":"Read the following statements carefully and identify the conclusion that follows.\nStatements:\nAll chairs are tables.\nSome tables are desks.\nConclusions:\nI. Some chairs are desks.\nII. All desks are tables.","stemHi":"निम्न कथनों को ध्यानपूर्वक पढ़कर अनुसरण करने वाला निष्कर्ष पहचानिए।\nकथन:\nसभी कुर्सियाँ मेज़ हैं।\nकुछ मेज़ डेस्क हैं।\nनिष्कर्ष:\nI. कुछ कुर्सियाँ डेस्क हैं।\nII. सभी डेस्क मेज़ हैं।","context":null,"contextHi":null,"options":[{"key":"a","text":"Only I follows","textHi":"केवल I अनुसरण करता है","imageUrl":null},{"key":"b","text":"Only II follows","textHi":"केवल II अनुसरण करता है","imageUrl":null},{"key":"c","text":"Both I and II follow","textHi":"I और II दोनों अनुसरण करते हैं","imageUrl":null},{"key":"d","text":"Neither I nor II follows","textHi":"न I न II अनुसरण करता है","imageUrl":null}],"correct":"d","sol":"Syllogism\n $\"figure\"/$ \nChairs lie inside tables, and only SOME tables are desks.\nThose desks may lie entirely outside the chair part, so I is not certain.\n"Some tables are desks" does not tell us about ALL desks, so II is not certain either.\nNeither follows — option (d).","solHi":" $\"figure\"/$ \nकुर्सियाँ मेज़ के भीतर हैं, और केवल कुछ मेज़ डेस्क हैं।\nवे डेस्क पूरी तरह कुर्सी वाले भाग से बाहर हो सकती हैं, अतः I निश्चित नहीं।\n"कुछ मेज़ डेस्क हैं" से सभी डेस्क के बारे में कुछ नहीं कहा जा सकता, अतः II भी निश्चित नहीं।\nकोई नहीं — विकल्प (d)।","pos":2,"neg":0.5},{"id":1209,"n":9,"subject":"General Intelligence & Reasoning","stem":"If "JAPAN" is written as MDSDQ, how will "CHINA" be written?","stemHi":"यदि "JAPAN" को MDSDQ लिखा जाता है, तो "CHINA" कैसे लिखा जाएगा?","context":null,"contextHi":null,"options":[{"key":"a","text":"KLQDF","textHi":null,"imageUrl":null},{"key":"b","text":"FKLQD","textHi":null,"imageUrl":null},{"key":"c","text":"FKLQE","textHi":null,"imageUrl":null},{"key":"d","text":"GDTDE","textHi":null,"imageUrl":null}],"correct":"b","sol":"Coding (+3)\n $\"figure\"/$ \nEvery letter moves +3: J+3 = M, A+3 = D, P+3 = S, A+3 = D, N+3 = Q.\nApply to CHINA: C+3 = F, H+3 = K, I+3 = L.\nN+3 = Q, A+3 = D.\nHence FKLQD — option (b).","solHi":" $\"figure\"/$ \nहर अक्षर +3 बढ़ता है: J+3 = M, A+3 = D, P+3 = S, A+3 = D, N+3 = Q।\nCHINA पर लगाइए: C+3 = F, H+3 = K, I+3 = L।\nN+3 = Q, A+3 = D।\nअतः FKLQD — विकल्प (b)।","pos":2,"neg":0.5},{"id":1210,"n":10,"subject":"General Intelligence & Reasoning","stem":"Find the pair that does NOT follow the double-step pattern.\nR4, S6, T8, U10, W14","stemHi":"उस युग्म को ज्ञात कीजिए जो दो-चरणीय पैटर्न का पालन नहीं करता।\nR4, S6, T8, U10, W14","context":null,"contextHi":null,"options":[{"key":"a","text":"R4","textHi":null,"imageUrl":null},{"key":"b","text":"T8","textHi":null,"imageUrl":null},{"key":"c","text":"S6","textHi":null,"imageUrl":null},{"key":"d","text":"W14","textHi":null,"imageUrl":null}],"correct":"d","sol":"Letter–number pairs\n $\"figure\"/$ \nThe letters should run consecutively: R, S, T, U, then V.\nThe numbers should rise by 2: 4, 6, 8, 10, then 12.\nThe last pair gives W instead of V and 14 instead of 12 — both parts break.\nHence W14 — option (d).","solHi":" $\"figure\"/$ \nअक्षर क्रमागत चलने चाहिए: R, S, T, U, फिर V।\nसंख्याएँ 2 से बढ़नी चाहिए: 4, 6, 8, 10, फिर 12।\nअंतिम युग्म में V की जगह W और 12 की जगह 14 है — दोनों भाग टूटते हैं।\nअतः W14 — विकल्प (d)।","pos":2,"neg":0.5},{"id":1211,"n":11,"subject":"General Intelligence & Reasoning","stem":"What comes next?\nC25, X2, D24, W3, ?","stemHi":"आगे क्या आएगा?\nC25, X2, D24, W3, ?","context":null,"contextHi":null,"options":[{"key":"a","text":"V5","textHi":null,"imageUrl":null},{"key":"b","text":"D24","textHi":null,"imageUrl":null},{"key":"c","text":"E23","textHi":null,"imageUrl":null},{"key":"d","text":"W4","textHi":null,"imageUrl":null}],"correct":"c","sol":"Two interleaved series\n $\"figure\"/$ \nOdd terms: C(3) with 25, D(4) with 24 — the letter moves +1 and the number −1.\nSo the next odd term is E(5) with 23.\n(The even terms X2, W3 form the other chain, moving −1 and +1.)\nHence E23 — option (c).","solHi":" $\"figure\"/$ \nविषम पद: C(3) के साथ 25, D(4) के साथ 24 — अक्षर +1 और संख्या −1।\nअतः अगला विषम पद E(5) के साथ 23 होगा।\n(सम पद X2, W3 दूसरी शृंखला बनाते हैं, जिसमें −1 और +1 चलता है।)\nअतः E23 — विकल्प (c)।","pos":2,"neg":0.5},{"id":1212,"n":12,"subject":"General Intelligence & Reasoning","stem":"Which number breaks the pattern?\n6, 11, 16, 37, 70","stemHi":"कौन-सी संख्या पैटर्न तोड़ती है?\n6, 11, 16, 37, 70","context":null,"contextHi":null,"options":[{"key":"a","text":"16","textHi":null,"imageUrl":null},{"key":"b","text":"11","textHi":null,"imageUrl":null},{"key":"c","text":"37","textHi":null,"imageUrl":null},{"key":"d","text":"70","textHi":null,"imageUrl":null}],"correct":"a","sol":"Doubling chain\n $\"figure\"/$ \nThe rule is × 2 with a subtraction that grows by one each step: × 2 − 1, × 2 − 2, × 2 − 3, × 2 − 4.\n6 × 2 − 1 = 11 ✓, then 11 × 2 − 2 = 20 — but the series shows 16 ✗.\nPutting 20 back, the chain runs on perfectly: 20 × 2 − 3 = 37 ✓ and 37 × 2 − 4 = 70 ✓.\nSo exactly one term breaks the pattern — 16, option (a).","solHi":" $\"figure\"/$ \nनियम है × 2 के साथ हर बार एक बढ़ती हुई संख्या घटाना: × 2 − 1, × 2 − 2, × 2 − 3, × 2 − 4।\n6 × 2 − 1 = 11 ✓, फिर 11 × 2 − 2 = 20 — परंतु शृंखला में 16 है ✗।\n20 रखने पर शृंखला पूरी तरह चलती है: 20 × 2 − 3 = 37 ✓ और 37 × 2 − 4 = 70 ✓।\nअर्थात ठीक एक ही पद पैटर्न तोड़ता है — 16, विकल्प (a)।","pos":2,"neg":0.5},{"id":1213,"n":13,"subject":"General Intelligence & Reasoning","stem":"Choose the odd one out from the given options.","stemHi":"दिए गए विकल्पों में से असंगत चुनिए।","context":null,"contextHi":null,"options":[{"key":"a","text":"Kathak","textHi":"कथक","imageUrl":null},{"key":"b","text":"Bharatanatyam","textHi":"भरतनाट्यम","imageUrl":null},{"key":"c","text":"Kuchipudi","textHi":"कुचिपुड़ी","imageUrl":null},{"key":"d","text":"Karate","textHi":"कराटे","imageUrl":null}],"correct":"d","sol":"Dance vs martial art\n $\"figure\"/$ \nKathak, Bharatanatyam and Kuchipudi are all Indian classical DANCE forms.\nKarate is a martial art of Japanese origin.\nSo it belongs to a different category.\nHence option (d).","solHi":" $\"figure\"/$ \nकथक, भरतनाट्यम और कुचिपुड़ी — तीनों भारतीय शास्त्रीय नृत्य हैं।\nकराटे जापान से आई युद्ध-कला है।\nअतः यह भिन्न श्रेणी का है।\nअतः विकल्प (d)।","pos":2,"neg":0.5},{"id":1214,"n":14,"subject":"General Intelligence & Reasoning","stem":"What should come at the place of the question mark?\n9, 19, 39, 79, 159, ?","stemHi":"प्रश्न चिह्न के स्थान पर क्या आना चाहिए?\n9, 19, 39, 79, 159, ?","context":null,"contextHi":null,"options":[{"key":"a","text":"321","textHi":null,"imageUrl":null},{"key":"b","text":"319","textHi":null,"imageUrl":null},{"key":"c","text":"350","textHi":null,"imageUrl":null},{"key":"d","text":"322","textHi":null,"imageUrl":null}],"correct":"b","sol":"Series (×2 + 1)\n $\"figure\"/$ \nEach term = previous × 2 + 1.\n9×2+1 = 19, 19×2+1 = 39, 39×2+1 = 79, 79×2+1 = 159 ✓.\nNext: 159 × 2 + 1 = 318 + 1.\n= 319 — option (b).","solHi":" $\"figure\"/$ \nहर पद = पिछला × 2 + 1।\n9×2+1 = 19, 19×2+1 = 39, 39×2+1 = 79, 79×2+1 = 159 ✓।\nअगला: 159 × 2 + 1 = 318 + 1।\n= 319 — विकल्प (b)।","pos":2,"neg":0.5},{"id":1215,"n":15,"subject":"General Intelligence & Reasoning","stem":"A sum doubles in 10 years at simple interest. What is the annual rate?","stemHi":"साधारण ब्याज पर कोई राशि 10 वर्ष में दोगुनी हो जाती है। वार्षिक दर क्या है?","context":null,"contextHi":null,"options":[{"key":"a","text":"20%","textHi":null,"imageUrl":null},{"key":"b","text":"12%","textHi":null,"imageUrl":null},{"key":"c","text":"15%","textHi":null,"imageUrl":null},{"key":"d","text":"10%","textHi":null,"imageUrl":null}],"correct":"d","sol":"SI doubling\n $\"figure\"/$ \nTake the principal as 100; doubling means the interest earned is also 100.\nSI =

\frac{P \times R \times T}{100}

⇒ 100 =

\frac{100 \times R \times 10}{100}

.\n100 = 10R.\nR = 10% — option (d).","solHi":" $\"figure\"/$ \nमूलधन 100 लीजिए; दोगुना होने का अर्थ है ब्याज भी 100।\nSI =

\frac{P \times R \times T}{100}

⇒ 100 =

\frac{100 \times R \times 10}{100}

।\n100 = 10R।\nR = 10% — विकल्प (d)।","pos":2,"neg":0.5},{"id":1216,"n":16,"subject":"General Intelligence & Reasoning","stem":"If 10 @ 2 = 104 and 11 @ 2 = 125, what is 12 @ 2?","stemHi":"यदि 10 @ 2 = 104 और 11 @ 2 = 125 है, तो 12 @ 2 = ?","context":null,"contextHi":null,"options":[{"key":"a","text":"148","textHi":null,"imageUrl":null},{"key":"b","text":"146","textHi":null,"imageUrl":null},{"key":"c","text":"248","textHi":null,"imageUrl":null},{"key":"d","text":"147","textHi":null,"imageUrl":null}],"correct":"a","sol":"Sum of squares\n $\"figure\"/$ \nRule: a @ b = a² + b².\nCheck: 10² + 2² = 100 + 4 = 104 ✓; 11² + 2² = 121 + 4 = 125 ✓.\n12 @ 2 = 12² + 2² = 144 + 4.\n= 148 — option (a).","solHi":" $\"figure\"/$ \nनियम: a @ b = a² + b²।\nजाँच: 10² + 2² = 100 + 4 = 104 ✓; 11² + 2² = 121 + 4 = 125 ✓।\n12 @ 2 = 12² + 2² = 144 + 4।\n= 148 — विकल्प (a)।","pos":2,"neg":0.5},{"id":1217,"n":17,"subject":"General Intelligence & Reasoning","stem":"What should come at the place of the question mark?\n8, 15, 24, 35, 48, ?","stemHi":"प्रश्न चिह्न के स्थान पर क्या आना चाहिए?\n8, 15, 24, 35, 48, ?","context":null,"contextHi":null,"options":[{"key":"a","text":"63","textHi":null,"imageUrl":null},{"key":"b","text":"64","textHi":null,"imageUrl":null},{"key":"c","text":"62","textHi":null,"imageUrl":null},{"key":"d","text":"49","textHi":null,"imageUrl":null}],"correct":"a","sol":"Series — odd gaps\n $\"figure\"/$ \nDifferences: 7, 9, 11, 13 — each rises by 2.\nSo the next difference is 15.\n48 + 15 = 63.\nHence option (a).","solHi":" $\"figure\"/$ \nअंतर: 7, 9, 11, 13 — हर बार 2 बढ़ते हैं।\nअतः अगला अंतर 15 होगा।\n48 + 15 = 63।\nअतः विकल्प (a)।","pos":2,"neg":0.5},{"id":1218,"n":18,"subject":"General Intelligence & Reasoning","stem":"If @ = +, # = −, $ = × and & = ÷, then 7 $ 9 @ 5 # 4 = ?","stemHi":"यदि @ = +, # = −, $ = × और & = ÷ है, तो 7 $ 9 @ 5 # 4 = ?","context":null,"contextHi":null,"options":[{"key":"a","text":"64","textHi":null,"imageUrl":null},{"key":"b","text":"65","textHi":null,"imageUrl":null},{"key":"c","text":"63","textHi":null,"imageUrl":null},{"key":"d","text":"62","textHi":null,"imageUrl":null}],"correct":"a","sol":"Symbol substitution\n $\"figure\"/$ \nReplace the symbols: 7 × 9 + 5 − 4.\nBODMAS: 7 × 9 = 63.\n63 + 5 − 4 = 68 − 4.\n= 64 — option (a).","solHi":" $\"figure\"/$ \nप्रतीक बदलिए: 7 × 9 + 5 − 4।\nBODMAS: 7 × 9 = 63।\n63 + 5 − 4 = 68 − 4।\n= 64 — विकल्प (a)।","pos":2,"neg":0.5},{"id":1219,"n":19,"subject":"General Intelligence & Reasoning","stem":"Statements:\nSome balls are Bat.\nAll Bat are Stamp.\nConclusions:\nI. Some balls are Stamp.\nII. All stamps are balls.","stemHi":"कथन:\nकुछ गेंदें बैट हैं।\nसभी बैट स्टाम्प हैं।\nनिष्कर्ष:\nI. कुछ गेंदें स्टाम्प हैं।\nII. सभी स्टाम्प गेंदें हैं।","context":null,"contextHi":null,"options":[{"key":"a","text":"Only I follows","textHi":"केवल I अनुसरण करता है","imageUrl":null},{"key":"b","text":"Only II follows","textHi":"केवल II अनुसरण करता है","imageUrl":null},{"key":"c","text":"Both I and II follow","textHi":"I और II दोनों अनुसरण करते हैं","imageUrl":null},{"key":"d","text":"Neither I nor II follows","textHi":"न I न II अनुसरण करता है","imageUrl":null}],"correct":"a","sol":"Syllogism\n $\"figure\"/$ \nSome balls are bats, and every bat is a stamp.\nSo those balls are certainly stamps — I follows.\nNothing says the stamp group is limited to balls, so II is not certain.\nOnly I — option (a).","solHi":" $\"figure\"/$ \nकुछ गेंदें बैट हैं, और हर बैट स्टाम्प है।\nअतः वे गेंदें निश्चित रूप से स्टाम्प हैं — I अनुसरण करता है।\nस्टाम्प समूह केवल गेंदों तक सीमित हो, ऐसा कहीं नहीं कहा गया, अतः II निश्चित नहीं।\nकेवल I — विकल्प (a)।","pos":2,"neg":0.5},{"id":1220,"n":20,"subject":"General Intelligence & Reasoning","stem":"A person spends 60% of his income and saves ₹4,000. What is his income?","stemHi":"एक व्यक्ति अपनी आय का 60% खर्च करता है और ₹4,000 बचाता है। उसकी आय कितनी है?","context":null,"contextHi":null,"options":[{"key":"a","text":"₹10,005","textHi":null,"imageUrl":null},{"key":"b","text":"₹7,500","textHi":null,"imageUrl":null},{"key":"c","text":"₹10,000","textHi":null,"imageUrl":null},{"key":"d","text":"₹9,000","textHi":null,"imageUrl":null}],"correct":"c","sol":"Income and savings\n $\"figure\"/$ \nExpenditure + savings = income, so savings = 100% − 60% = 40%.\n40% of the income = ₹4,000.\nIncome =

\frac{4000 \times 100}{40}

.\n= ₹10,000 — option (c).","solHi":" $\"figure\"/$ \nव्यय + बचत = आय, अतः बचत = 100% − 60% = 40%।\nआय का 40% = ₹4,000।\nआय =

\frac{4000 \times 100}{40}

।\n= ₹10,000 — विकल्प (c)।","pos":2,"neg":0.5},{"id":1221,"n":21,"subject":"General Intelligence & Reasoning","stem":"If 20 cats can catch 20 mice in 20 minutes, how many cats are needed to catch 200 mice in 200 minutes?","stemHi":"यदि 20 बिल्लियाँ 20 चूहे 20 मिनट में पकड़ती हैं, तो 200 चूहे 200 मिनट में पकड़ने के लिए कितनी बिल्लियाँ चाहिए?","context":null,"contextHi":null,"options":[{"key":"a","text":"20","textHi":null,"imageUrl":null},{"key":"b","text":"10","textHi":null,"imageUrl":null},{"key":"c","text":"100","textHi":null,"imageUrl":null},{"key":"d","text":"200","textHi":null,"imageUrl":null}],"correct":"a","sol":"Cats and mice\n $\"figure\"/$ \nFrom the first case, one cat catches one mouse in 20 minutes.\nIn 200 minutes, therefore, one cat catches 10 mice.\nTo catch 200 mice we need

\frac{200}{10}

cats.\n= 20 cats — option (a).","solHi":" $\"figure\"/$ \nपहली स्थिति से: एक बिल्ली एक चूहा 20 मिनट में पकड़ती है।\nअतः 200 मिनट में एक बिल्ली 10 चूहे पकड़ेगी।\n200 चूहों के लिए चाहिए

\frac{200}{10}

बिल्लियाँ।\n= 20 बिल्लियाँ — विकल्प (a)।","pos":2,"neg":0.5},{"id":1222,"n":22,"subject":"General Intelligence & Reasoning","stem":"If 'MAKER' is coded as '13-1-11-5-18', how will 'JOKAR' be coded?","stemHi":"यदि 'MAKER' का कूट '13-1-11-5-18' है, तो 'JOKAR' का कूट क्या होगा?","context":null,"contextHi":null,"options":[{"key":"a","text":"15-4-4-17-12","textHi":null,"imageUrl":null},{"key":"b","text":"10-23-26-13-22","textHi":null,"imageUrl":null},{"key":"c","text":"10-15-11-1-18","textHi":null,"imageUrl":null},{"key":"d","text":"10-15-11-16-8","textHi":null,"imageUrl":null}],"correct":"c","sol":"Place values\n $\"figure\"/$ \nEach letter is replaced by its position: M = 13, A = 1, K = 11, E = 5, R = 18.\nApply to JOKAR: J = 10, O = 15, K = 11.\nA = 1, R = 18.\n= 10-15-11-1-18 — option (c).","solHi":" $\"figure\"/$ \nहर अक्षर उसके स्थान-मान से बदला जाता है: M = 13, A = 1, K = 11, E = 5, R = 18।\nJOKAR पर लगाइए: J = 10, O = 15, K = 11।\nA = 1, R = 18।\n= 10-15-11-1-18 — विकल्प (c)।","pos":2,"neg":0.5},{"id":1223,"n":23,"subject":"General Intelligence & Reasoning","stem":"If NBSLFS is coded as OCTMGT, how is OCTMGT coded?","stemHi":"यदि NBSLFS का कूट OCTMGT है, तो OCTMGT का कूट क्या होगा?","context":null,"contextHi":null,"options":[{"key":"a","text":"PDUNHU","textHi":null,"imageUrl":null},{"key":"b","text":"PDUNUJ","textHi":null,"imageUrl":null},{"key":"c","text":"PDUNHI","textHi":null,"imageUrl":null},{"key":"d","text":"PDUNUH","textHi":null,"imageUrl":null}],"correct":"a","sol":"Coding (+1)\n $\"figure\"/$ \nEvery letter moves +1: N+1 = O, B+1 = C, S+1 = T, L+1 = M, F+1 = G, S+1 = T.\nApply the same rule again to OCTMGT: O+1 = P, C+1 = D, T+1 = U.\nM+1 = N, G+1 = H, T+1 = U.\nHence PDUNHU — option (a).","solHi":" $\"figure\"/$ \nहर अक्षर +1 बढ़ता है: N+1 = O, B+1 = C, S+1 = T, L+1 = M, F+1 = G, S+1 = T।\nवही नियम OCTMGT पर फिर लगाइए: O+1 = P, C+1 = D, T+1 = U।\nM+1 = N, G+1 = H, T+1 = U।\nअतः PDUNHU — विकल्प (a)।","pos":2,"neg":0.5},{"id":1224,"n":24,"subject":"General Intelligence & Reasoning","stem":"If IFMNFU is coded as JGNOGV, how is JGNOGV coded?","stemHi":"यदि IFMNFU का कूट JGNOGV है, तो JGNOGV का कूट क्या होगा?","context":null,"contextHi":null,"options":[{"key":"a","text":"KHOPHW","textHi":null,"imageUrl":null},{"key":"b","text":"KHOPHG","textHi":null,"imageUrl":null},{"key":"c","text":"KHOPCW","textHi":null,"imageUrl":null},{"key":"d","text":"KHOPWH","textHi":null,"imageUrl":null}],"correct":"a","sol":"Coding (+1)\nEvery letter moves +1: I+1 = J, F+1 = G, M+1 = N, N+1 = O, F+1 = G, U+1 = V.\nApply the same rule again: J+1 = K, G+1 = H, N+1 = O.\nO+1 = P, G+1 = H, V+1 = W.\nHence KHOPHW — option (a).","solHi":"हर अक्षर +1 बढ़ता है: I+1 = J, F+1 = G, M+1 = N, N+1 = O, F+1 = G, U+1 = V।\nवही नियम फिर लगाइए: J+1 = K, G+1 = H, N+1 = O।\nO+1 = P, G+1 = H, V+1 = W।\nअतः KHOPHW — विकल्प (a)।","pos":2,"neg":0.5},{"id":1225,"n":25,"subject":"General Intelligence & Reasoning","stem":"If in a code language 'FDW' is written as 'IGB', then 'EDY' is written as?","stemHi":"यदि किसी कूट भाषा में 'FDW' को 'IGB' लिखा जाता है, तो 'EDY' कैसे लिखा जाएगा?","context":null,"contextHi":null,"options":[{"key":"a","text":"HGD","textHi":null,"imageUrl":null},{"key":"b","text":"HGX","textHi":null,"imageUrl":null},{"key":"c","text":"XGH","textHi":null,"imageUrl":null},{"key":"d","text":"FBY","textHi":null,"imageUrl":null}],"correct":"a","sol":"Position-wise shifts\n $\"figure\"/$ \nCompare FDW with IGB: F+3 = I and D+3 = G, but W+5 = B (counting cyclically past Z).\nSo the shifts by position are +3, +3, +5.\nApply the same to EDY: E+3 = H, D+3 = G.\nY+5 = D (cyclically) ⇒ HGD — option (a).","solHi":" $\"figure\"/$ \nFDW और IGB की तुलना कीजिए: F+3 = I और D+3 = G, परंतु W+5 = B (Z के आगे चक्रीय गिनती से)।\nअतः स्थान-वार शिफ्ट हैं +3, +3, +5।\nEDY पर वही लगाइए: E+3 = H, D+3 = G।\nY+5 = D (चक्रीय) ⇒ HGD — विकल्प (a)।","pos":2,"neg":0.5},{"id":1226,"n":26,"subject":"General Awareness","stem":"In Nagara-style temple architecture, which structural part refers to the central projection on the outer wall of the sanctum?","stemHi":"नागर शैली की मंदिर स्थापत्य में गर्भगृह की बाहरी दीवार पर बना केंद्रीय प्रक्षेप किस भाग को कहते हैं?","context":null,"contextHi":null,"options":[{"key":"a","text":"Bhadra","textHi":"भद्र","imageUrl":null},{"key":"b","text":"Pratiratha","textHi":"प्रतिरथ","imageUrl":null},{"key":"c","text":"Karna Sringa","textHi":"कर्ण शृंग","imageUrl":null},{"key":"d","text":"Anuratha","textHi":"अनुरथ","imageUrl":null}],"correct":"a","sol":"Bhadra\nThe bhadra is the projecting central offset on each face of the temple wall or shikhara.\nIt marks the cardinal axis and usually holds the main niche with a deity image.\nKarna is the corner offset and pratiratha the one between karna and bhadra.\nHence option (a).","solHi":"भद्र मंदिर की दीवार या शिखर के प्रत्येक फलक पर बना केंद्रीय प्रक्षेप है।\nयह दिशा-अक्ष को दर्शाता है और प्रायः इसमें मुख्य देव-प्रतिमा का ताख होता है।\nकर्ण कोने का प्रक्षेप है और प्रतिरथ कर्ण तथा भद्र के बीच का।\nअतः विकल्प (a)।","pos":2,"neg":0.5},{"id":1227,"n":27,"subject":"General Awareness","stem":"During the Garia Festival celebrated in Tripura, the rituals are performed under the supervision of which traditional figure?","stemHi":"त्रिपुरा में मनाए जाने वाले गरिया पर्व में अनुष्ठान किस पारंपरिक व्यक्ति की देखरेख में होते हैं?","context":null,"contextHi":null,"options":[{"key":"a","text":"Khulcha","textHi":"खुलचा","imageUrl":null},{"key":"b","text":"Rengpa","textHi":"रेंगपा","imageUrl":null},{"key":"c","text":"Ochai","textHi":"ओचाई","imageUrl":null},{"key":"d","text":"Thampui","textHi":"थम्पुई","imageUrl":null}],"correct":"c","sol":"Garia — Ochai\nGaria is celebrated by the tribal communities of Tripura for a good harvest.\nThe Ochai is the traditional priest who conducts the worship of the Garia deity.\nOfferings of rice beer, cotton thread and fowl are made under his guidance.\nHence option (c).","solHi":"गरिया त्रिपुरा के जनजातीय समुदाय अच्छी फसल के लिए मनाते हैं।\nओचाई वह पारंपरिक पुजारी है जो गरिया देवता की पूजा संपन्न कराता है।\nउसी के निर्देशन में चावल की बीयर, सूती धागा और मुर्गे की भेंट चढ़ाई जाती है।\nअतः विकल्प (c)।","pos":2,"neg":0.5},{"id":1228,"n":28,"subject":"General Awareness","stem":"Examine the following statements and choose the correct option:\nAssertion (A): Many colonial-era buildings in India adopted features such as ribbed vaults and pointed arches.\nReason (R): These architectural features were not part of Europe's earlier Gothic tradition.","stemHi":"निम्न कथनों की जाँच कर सही विकल्प चुनिए:\nअभिकथन (A): भारत की अनेक औपनिवेशिक इमारतों में पसलीदार मेहराब और नुकीले आर्च जैसी विशेषताएँ अपनाई गईं।\nकारण (R): ये स्थापत्य विशेषताएँ यूरोप की पूर्ववर्ती गॉथिक परंपरा का हिस्सा नहीं थीं।","context":null,"contextHi":null,"options":[{"key":"a","text":"A is false, but R is true.","textHi":"A असत्य है, परंतु R सत्य है।","imageUrl":null},{"key":"b","text":"Both A and R are true, and R correctly explains A.","textHi":"A और R दोनों सत्य हैं और R, A की सही व्याख्या करता है।","imageUrl":null},{"key":"c","text":"Both A and R are true, but R does not explain A.","textHi":"A और R दोनों सत्य हैं, परंतु R व्याख्या नहीं करता।","imageUrl":null},{"key":"d","text":"A is true, but R is false.","textHi":"A सत्य है, परंतु R असत्य है।","imageUrl":null}],"correct":"d","sol":"Colonial Gothic (A–R)\nColonial buildings such as Bombay’s VT station and Mumbai University do use ribbed vaults and pointed arches — A is true.\nThese are the defining marks of European Gothic architecture, which the colonial Gothic Revival copied — so R is false.\nThe style is called Gothic Revival precisely because it drew on that earlier tradition.\nHence option (d).","solHi":"बंबई का VT स्टेशन और मुंबई विश्वविद्यालय जैसी औपनिवेशिक इमारतों में पसलीदार मेहराब और नुकीले आर्च हैं — A सत्य।\nये तो यूरोपीय गॉथिक स्थापत्य की पहचान ही हैं, जिनकी नकल औपनिवेशिक गॉथिक पुनरुत्थान ने की — अतः R असत्य।\nशैली को "गॉथिक रिवाइवल" कहा ही इसलिए जाता है क्योंकि यह उसी पुरानी परंपरा से ली गई।\nअतः विकल्प (d)।","pos":2,"neg":0.5},{"id":1229,"n":29,"subject":"General Awareness","stem":"In relation to the Rigveda, what does the term Samhita signify?","stemHi":"ऋग्वेद के संदर्भ में "संहिता" शब्द का क्या अर्थ है?","context":null,"contextHi":null,"options":[{"key":"a","text":"A ritual manual used during Vedic ceremonies","textHi":"वैदिक अनुष्ठानों में प्रयुक्त कर्मकांड पुस्तिका","imageUrl":null},{"key":"b","text":"An organized collection of sacred hymns and mantras","textHi":"पवित्र सूक्तों और मंत्रों का व्यवस्थित संग्रह","imageUrl":null},{"key":"c","text":"A prose-based arrangement of Vedic chants","textHi":"वैदिक मंत्रों की गद्य-आधारित व्यवस्था","imageUrl":null},{"key":"d","text":"An explanatory text interpreting Vedic verses","textHi":"वैदिक ऋचाओं की व्याख्या करने वाला ग्रंथ","imageUrl":null}],"correct":"b","sol":"Samhita\nSamhita literally means a systematic collection.\nThe Rigveda Samhita is the compiled body of 1,028 hymns arranged in ten mandalas.\nThe Brahmanas explain rituals and the Aranyakas and Upanishads follow them.\nHence option (b).","solHi":"संहिता का शाब्दिक अर्थ है व्यवस्थित संग्रह।\nऋग्वेद संहिता दस मंडलों में व्यवस्थित 1,028 सूक्तों का संकलन है।\nब्राह्मण ग्रंथ अनुष्ठान समझाते हैं और उनके बाद आरण्यक तथा उपनिषद आते हैं।\nअतः विकल्प (b)।","pos":2,"neg":0.5},{"id":1230,"n":30,"subject":"General Awareness","stem":"During the Gupta period, which of the following fiscal terms is accurately matched with its meaning?","stemHi":"गुप्त काल के निम्न राजस्व शब्दों में से कौन-सा अपने अर्थ के साथ सही मिलाया गया है?","context":null,"contextHi":null,"options":[{"key":"a","text":"Bhaga – judicial fee","textHi":"भाग – न्यायिक शुल्क","imageUrl":null},{"key":"b","text":"Vaishthika – forced labour","textHi":"वैष्ठिक – बेगार (बलात् श्रम)","imageUrl":null},{"key":"c","text":"Utkhetayita – temple priest","textHi":"उत्खेतयिता – मंदिर पुजारी","imageUrl":null},{"key":"d","text":"Dasaparadha – cattle tax","textHi":"दशापराध – पशु कर","imageUrl":null}],"correct":"b","sol":"Gupta fiscal terms\nVaishthika (from vishti) was unpaid forced labour rendered for royal works — correctly matched.\nBhaga was the king’s share of the agricultural produce, not a judicial fee.\nUtkhetayita refers to land cleared for cultivation, and dasaparadha has nothing to do with a cattle tax.\nHence option (b).","solHi":"वैष्ठिक (विष्टि से) राजकीय कार्यों हेतु दी जाने वाली बिना वेतन की बेगार थी — सही मिलान।\nभाग राजा का कृषि उपज में हिस्सा था, न्यायिक शुल्क नहीं।\nउत्खेतयिता खेती हेतु साफ़ की गई भूमि को कहते हैं, और दशापराध का पशु कर से कोई संबंध नहीं।\nअतः विकल्प (b)।","pos":2,"neg":0.5},{"id":1231,"n":31,"subject":"General Awareness","stem":"Concerning the early establishment and organization of the Indian Amateur Boxing Federation (IABF):\n1. Its first office was located at 62, Majestic Hotel in Bombay.\n2. Bombay played a central role in the federation’s formation, with most officials belonging to the city.\n3. The federation’s inaugural gathering took place at the Governor’s Pavilion of the Cricket Club of India.\nWhich of the above statements are accurate?","stemHi":"भारतीय एमेच्योर बॉक्सिंग फेडरेशन (IABF) की आरंभिक स्थापना और संगठन के संबंध में:\n1. इसका पहला कार्यालय बॉम्बे के 62, मैजेस्टिक होटल में था।\n2. फेडरेशन के गठन में बॉम्बे की केंद्रीय भूमिका रही और अधिकांश पदाधिकारी इसी शहर के थे।\n3. फेडरेशन की पहली बैठक क्रिकेट क्लब ऑफ इंडिया के गवर्नर पवेलियन में हुई।\nउपर्युक्त में से कौन-से कथन सही हैं?","context":null,"contextHi":null,"options":[{"key":"a","text":"1, 2 and 3 are correct","textHi":"1, 2 और 3 सही हैं","imageUrl":null},{"key":"b","text":"Only 1 and 3 are correct","textHi":"केवल 1 और 3 सही हैं","imageUrl":null},{"key":"c","text":"Only 2 and 3 are correct","textHi":"केवल 2 और 3 सही हैं","imageUrl":null},{"key":"d","text":"Only 1 and 2 are correct","textHi":"केवल 1 और 2 सही हैं","imageUrl":null}],"correct":"a","sol":"IABF formation\nThe IABF was formed in Bombay, and its first office was at 62, Majestic Hotel.\nMost of its founding office-bearers came from Bombay itself.\nIts inaugural meeting was held at the Governor’s Pavilion of the Cricket Club of India.\nAll three are correct — option (a).","solHi":"IABF का गठन बॉम्बे में हुआ और उसका पहला कार्यालय 62, मैजेस्टिक होटल में था।\nउसके अधिकांश संस्थापक पदाधिकारी बॉम्बे के ही थे।\nपहली बैठक क्रिकेट क्लब ऑफ इंडिया के गवर्नर पवेलियन में हुई।\nतीनों कथन सही — विकल्प (a)।","pos":2,"neg":0.5},{"id":1232,"n":32,"subject":"General Awareness","stem":"The administrative framework of which ruler served as the foundation for Akbar's later reforms and expansion of the Mughal Empire?","stemHi":"किस शासक का प्रशासनिक ढाँचा अकबर के बाद के सुधारों और मुगल साम्राज्य के विस्तार की नींव बना?","context":null,"contextHi":null,"options":[{"key":"a","text":"Alauddin Khilji","textHi":"अलाउद्दीन खिलजी","imageUrl":null},{"key":"b","text":"Sher Shah Suri","textHi":"शेर शाह सूरी","imageUrl":null},{"key":"c","text":"Ibrahim Lodi","textHi":"इब्राहिम लोदी","imageUrl":null},{"key":"d","text":"Balban","textHi":"बलबन","imageUrl":null}],"correct":"b","sol":"Sher Shah’s administration\nSher Shah Suri built a systematic revenue and administrative machinery in only five years.\nHis land survey, the rupiya, the sarkar-pargana division and the postal system were all carried forward by Akbar.\nTodar Mal, who framed Akbar’s revenue system, had served under Sher Shah.\nHence option (b).","solHi":"शेर शाह सूरी ने मात्र पाँच वर्षों में व्यवस्थित राजस्व और प्रशासनिक तंत्र खड़ा किया।\nउसकी भूमि पैमाइश, रुपिया, सरकार-परगना विभाजन और डाक व्यवस्था अकबर ने आगे बढ़ाई।\nअकबर की राजस्व व्यवस्था बनाने वाले टोडरमल शेर शाह के अधीन काम कर चुके थे।\nअतः विकल्प (b)।","pos":2,"neg":0.5},{"id":1233,"n":33,"subject":"General Awareness","stem":"Which historic education policy introduced in 1854 is often regarded as the cornerstone of India's modern education system?","stemHi":"1854 में लाई गई कौन-सी ऐतिहासिक शिक्षा नीति भारत की आधुनिक शिक्षा प्रणाली की आधारशिला मानी जाती है?","context":null,"contextHi":null,"options":[{"key":"a","text":"Raleigh Commission","textHi":"रैले आयोग","imageUrl":null},{"key":"b","text":"Wood's Despatch","textHi":"वुड का घोषणापत्र","imageUrl":null},{"key":"c","text":"Indian Universities Act","textHi":"भारतीय विश्वविद्यालय अधिनियम","imageUrl":null},{"key":"d","text":"Charles Grant Report","textHi":"चार्ल्स ग्रांट रिपोर्ट","imageUrl":null}],"correct":"b","sol":"Wood's Despatch\nWood's Despatch of 1854 is called the Magna Carta of English education in India.\nIt proposed a department of education in every province, universities at Calcutta, Bombay and Madras, and grants-in-aid to schools.\nIt also stressed teaching in the vernacular at the lower levels.\nHence option (b).","solHi":"1854 के वुड घोषणापत्र को भारत में अंग्रेज़ी शिक्षा का मैग्ना कार्टा कहा जाता है।\nइसने हर प्रांत में शिक्षा विभाग, कलकत्ता-बंबई-मद्रास में विश्वविद्यालय और विद्यालयों को सहायता अनुदान का प्रस्ताव दिया।\nइसने निचले स्तर पर देशी भाषा में पढ़ाई पर भी बल दिया।\nअतः विकल्प (b)।","pos":2,"neg":0.5},{"id":1234,"n":34,"subject":"General Awareness","stem":"Which Indian wrestler earned a bronze medal at the 2024 Paris Olympics, becoming the country's youngest individual Olympic medallist?","stemHi":"2024 पेरिस ओलंपिक में कांस्य पदक जीतकर कौन-सा भारतीय पहलवान देश का सबसे कम आयु का व्यक्तिगत ओलंपिक पदक विजेता बना?","context":null,"contextHi":null,"options":[{"key":"a","text":"Jitender Malik","textHi":"जितेंद्र मलिक","imageUrl":null},{"key":"b","text":"Aman Sehrawat","textHi":"अमन सहरावत","imageUrl":null},{"key":"c","text":"Sandeep Tomar","textHi":"संदीप तोमर","imageUrl":null},{"key":"d","text":"Anuj Yadav","textHi":"अनुज यादव","imageUrl":null}],"correct":"b","sol":"Aman Sehrawat\nAman Sehrawat won bronze in the men’s 57 kg freestyle event at Paris 2024.\nHe was 21 years old, making him India’s youngest individual Olympic medallist.\nHe was also India’s only wrestling medallist at those Games.\nHence option (b).","solHi":"अमन सहरावत ने पेरिस 2024 में पुरुष 57 किग्रा फ्रीस्टाइल में कांस्य जीता।\nवे 21 वर्ष के थे, अर्थात भारत के सबसे कम आयु के व्यक्तिगत ओलंपिक पदक विजेता।\nउन खेलों में कुश्ती से भारत का एकमात्र पदक यही था।\nअतः विकल्प (b)।","pos":2,"neg":0.5},{"id":1235,"n":35,"subject":"General Awareness","stem":"With reference to the objectives of the Education Plan of India's National Anti-Doping Agency (NADA), consider the following statements:\n1. It seeks to build awareness about integrity, ethics and fair play in sports.\n2. Its main goal is to punish athletes involved in doping cases instead of focusing on education.\n3. It ensures the delivery of reliable and updated anti-doping information to all concerned groups.\nWhich of the above statements are accurate?","stemHi":"भारत की राष्ट्रीय डोपिंग रोधी एजेंसी (NADA) की शिक्षा योजना के उद्देश्यों के संबंध में निम्न कथनों पर विचार कीजिए:\n1. यह खेलों में सत्यनिष्ठा, नैतिकता और निष्पक्ष खेल के प्रति जागरूकता बढ़ाना चाहती है।\n2. इसका मुख्य लक्ष्य शिक्षा के बजाय डोपिंग में लिप्त खिलाड़ियों को दंडित करना है।\n3. यह सभी संबंधित समूहों तक विश्वसनीय और अद्यतन डोपिंग रोधी जानकारी पहुँचाना सुनिश्चित करती है।\nउपर्युक्त में से कौन-से कथन सही हैं?","context":null,"contextHi":null,"options":[{"key":"a","text":"Only 1 and 3 are correct","textHi":"केवल 1 और 3 सही हैं","imageUrl":null},{"key":"b","text":"Only 2 and 3 are correct","textHi":"केवल 2 और 3 सही हैं","imageUrl":null},{"key":"c","text":"Only 1 and 2 are correct","textHi":"केवल 1 और 2 सही हैं","imageUrl":null},{"key":"d","text":"1, 2 and 3 are correct","textHi":"1, 2 और 3 सही हैं","imageUrl":null}],"correct":"a","sol":"NADA Education Plan\nThe Education Plan is built on values — integrity, ethics and fair play — so Statement 1 is correct.\nIt also aims to give athletes and support staff accurate, up-to-date anti-doping information — Statement 3 correct.\nPunishment is the job of the disciplinary panels; the Education Plan is preventive, so Statement 2 is wrong.\nHence 1 and 3 — option (a).","solHi":"शिक्षा योजना मूल्यों पर आधारित है — सत्यनिष्ठा, नैतिकता और निष्पक्ष खेल — अतः कथन 1 सही।\nयह खिलाड़ियों और सहयोगी स्टाफ़ तक सटीक, अद्यतन डोपिंग रोधी जानकारी पहुँचाना भी चाहती है — कथन 3 सही।\nदंड देना अनुशासन समितियों का काम है; शिक्षा योजना निवारक है, अतः कथन 2 गलत।\nअतः 1 और 3 — विकल्प (a)।","pos":2,"neg":0.5},{"id":1236,"n":36,"subject":"General Awareness","stem":"The literary work "Heart Lamp" was originally composed in which Indian language?","stemHi":"साहित्यिक कृति "हार्ट लैंप" मूल रूप से किस भारतीय भाषा में लिखी गई थी?","context":null,"contextHi":null,"options":[{"key":"a","text":"Konkani","textHi":"कोंकणी","imageUrl":null},{"key":"b","text":"Kannada","textHi":"कन्नड़","imageUrl":null},{"key":"c","text":"Marathi","textHi":"मराठी","imageUrl":null},{"key":"d","text":"Telugu","textHi":"तेलुगु","imageUrl":null}],"correct":"b","sol":""Heart Lamp"\nHeart Lamp is a collection of short stories by Banu Mushtaq, written in Kannada.\nIt was translated into English by Deepa Bhasthi.\nThe translation brought the work international recognition.\nHence option (b).","solHi":""हार्ट लैंप" बानू मुश्ताक की कहानियों का संग्रह है, जो कन्नड़ में लिखा गया।\nइसका अंग्रेज़ी अनुवाद दीपा भस्ती ने किया।\nअनुवाद ने इस कृति को अंतरराष्ट्रीय पहचान दिलाई।\nअतः विकल्प (b)।","pos":2,"neg":0.5},{"id":1237,"n":37,"subject":"General Awareness","stem":"With reference to the book Negotiating Mughal Law by Nandini Chatterjee, consider the following statements:\n1. It examines legal diversity and property ownership through the case of a landlord family interacting with multiple Indian empires.\n2. It primarily serves as a literary study of Mughal emperors’ poetry and personal pursuits.\nWhich of the statements given above is accurate?","stemHi":"नंदिनी चटर्जी की पुस्तक "नेगोशिएटिंग मुगल लॉ" के संबंध में निम्न कथनों पर विचार कीजिए:\n1. यह एक ज़मींदार परिवार के अनेक भारतीय साम्राज्यों से संपर्क के माध्यम से विधिक विविधता और संपत्ति-स्वामित्व की पड़ताल करती है।\n2. यह मुख्यतः मुगल सम्राटों की कविता और निजी रुचियों का साहित्यिक अध्ययन है।\nउपर्युक्त में से कौन-सा कथन सही है?","context":null,"contextHi":null,"options":[{"key":"a","text":"Both 1 and 2 are correct","textHi":"1 और 2 दोनों सही हैं","imageUrl":null},{"key":"b","text":"Neither 1 nor 2 is correct","textHi":"न 1 न 2 सही है","imageUrl":null},{"key":"c","text":"Only statement 2 is correct","textHi":"केवल कथन 2 सही है","imageUrl":null},{"key":"d","text":"Only statement 1 is correct","textHi":"केवल कथन 1 सही है","imageUrl":null}],"correct":"d","sol":"Negotiating Mughal Law\nThe book follows one landholding family across Mughal, Maratha and British rule.\nThrough their documents it studies how law and property rights were negotiated — Statement 1 correct.\nIt is legal and social history, not a literary study of imperial poetry — Statement 2 wrong.\nHence Only 1 — option (d).","solHi":"पुस्तक एक ज़मींदार परिवार का मुगल, मराठा और ब्रिटिश शासन तक का सफ़र दिखाती है।\nउनके दस्तावेज़ों से यह पड़ताल करती है कि कानून और संपत्ति के अधिकार कैसे तय होते रहे — कथन 1 सही।\nयह विधिक एवं सामाजिक इतिहास है, शाही कविता का साहित्यिक अध्ययन नहीं — कथन 2 गलत।\nअतः केवल 1 — विकल्प (d)।","pos":2,"neg":0.5},{"id":1238,"n":38,"subject":"General Awareness","stem":"Which animal was chosen as the official mascot for the 2024 edition of the Khelo India Winter Games?","stemHi":"खेलो इंडिया विंटर गेम्स 2024 का आधिकारिक शुभंकर कौन-सा पशु चुना गया था?","context":null,"contextHi":null,"options":[{"key":"a","text":"Himalayan Tahr 'Tashi'","textHi":"हिमालयी थार "ताशी"","imageUrl":null},{"key":"b","text":"Red Panda 'Norbu'","textHi":"रेड पांडा "नोरबू"","imageUrl":null},{"key":"c","text":"Snow Leopard 'Sheen-e-She' (Shan)","textHi":"हिम तेंदुआ "शीन-ए-शे" (शान)","imageUrl":null},{"key":"d","text":"Musk Deer 'Cholay'","textHi":"कस्तूरी मृग "चोले"","imageUrl":null}],"correct":"c","sol":"Khelo India Winter Games mascot\nThe Khelo India Winter Games 2024 were held in Ladakh and Jammu & Kashmir.\nThe snow leopard, named Sheen-e-She or Shan, was chosen as the mascot.\nIt represents the high-altitude Himalayan habitat where the Games are held.\nHence option (c).","solHi":"खेलो इंडिया विंटर गेम्स 2024 लद्दाख तथा जम्मू-कश्मीर में हुए।\nशुभंकर हिम तेंदुआ चुना गया, जिसका नाम "शीन-ए-शे" या "शान" रखा गया।\nयह उन ऊँचाई वाले हिमालयी आवासों का प्रतीक है जहाँ ये खेल होते हैं।\nअतः विकल्प (c)।","pos":2,"neg":0.5},{"id":1239,"n":39,"subject":"General Awareness","stem":"Under which situation does the President of India obtain the authority to exercise the legislative functions of a State government?","stemHi":"किस स्थिति में भारत के राष्ट्रपति को राज्य सरकार के विधायी कार्य करने का अधिकार मिल जाता है?","context":null,"contextHi":null,"options":[{"key":"a","text":"During the period of national emergency declared under Article 352","textHi":"अनुच्छेद 352 के अंतर्गत घोषित राष्ट्रीय आपात के दौरान","imageUrl":null},{"key":"b","text":"When Article 356 is applied owing to the failure of constitutional machinery in the State","textHi":"राज्य में संवैधानिक तंत्र की विफलता पर अनुच्छेद 356 लागू होने पर","imageUrl":null},{"key":"c","text":"On the advice of the Council of Ministers","textHi":"मंत्रिपरिषद की सलाह पर","imageUrl":null},{"key":"d","text":"When both Houses of Parliament are in recess","textHi":"जब संसद के दोनों सदन अवकाश पर हों","imageUrl":null}],"correct":"b","sol":"Article 356\nArticle 356 provides for President’s Rule when the constitutional machinery of a state fails.\nThe state legislature is then dissolved or suspended and Parliament legislates for the state.\nUnder Article 352 the states continue to function, though Parliament may legislate on the State List.\nHence option (b).","solHi":"अनुच्छेद 356 राज्य में संवैधानिक तंत्र विफल होने पर राष्ट्रपति शासन का प्रावधान करता है।\nतब राज्य विधानमंडल भंग या निलंबित हो जाता है और संसद उस राज्य के लिए कानून बनाती है।\nअनुच्छेद 352 में राज्य कार्य करते रहते हैं, यद्यपि संसद राज्य सूची पर कानून बना सकती है।\nअतः विकल्प (b)।","pos":2,"neg":0.5},{"id":1240,"n":40,"subject":"General Awareness","stem":"When a sound source and an observer travel at identical speeds in the same direction, how is the perceived frequency affected?","stemHi":"जब ध्वनि स्रोत और प्रेक्षक समान चाल से एक ही दिशा में चलें, तो सुनाई देने वाली आवृत्ति पर क्या प्रभाव पड़ता है?","context":null,"contextHi":null,"options":[{"key":"a","text":"It varies irregularly","textHi":"यह अनियमित रूप से बदलती है","imageUrl":null},{"key":"b","text":"It remains the same","textHi":"यह वही रहती है","imageUrl":null},{"key":"c","text":"It becomes higher","textHi":"यह अधिक हो जाती है","imageUrl":null},{"key":"d","text":"It becomes lower","textHi":"यह कम हो जाती है","imageUrl":null}],"correct":"b","sol":"Doppler effect\nThe Doppler effect depends on the RELATIVE motion between source and observer.\nIf both move with the same speed in the same direction, the distance between them never changes.\nWith no relative motion there is no shift in frequency.\nHence option (b).","solHi":"डॉप्लर प्रभाव स्रोत और प्रेक्षक के बीच की सापेक्ष गति पर निर्भर करता है।\nयदि दोनों समान चाल से एक ही दिशा में चलें, तो उनके बीच की दूरी कभी नहीं बदलती।\nसापेक्ष गति न होने से आवृत्ति में कोई परिवर्तन नहीं होता।\nअतः विकल्प (b)।","pos":2,"neg":0.5},{"id":1241,"n":41,"subject":"General Awareness","stem":"Examine the following statements and choose the correct option:\nAssertion (A): Any confession given to a police officer cannot be accepted as valid evidence in a court of law.\nReason (R): Section 23 of the Bharatiya Sakshya Adhiniyam upholds the rule that confessions must be free from police influence.","stemHi":"निम्न कथनों की जाँच कर सही विकल्प चुनिए:\nअभिकथन (A): पुलिस अधिकारी के समक्ष दिया गया कोई भी इकबालिया बयान न्यायालय में वैध साक्ष्य नहीं माना जा सकता।\nकारण (R): भारतीय साक्ष्य अधिनियम की धारा 23 इस नियम को बनाए रखती है कि इकबालिया बयान पुलिस के प्रभाव से मुक्त होने चाहिए।","context":null,"contextHi":null,"options":[{"key":"a","text":"Both A and R are true, but R does not explain A.","textHi":"A और R दोनों सत्य हैं, परंतु R व्याख्या नहीं करता।","imageUrl":null},{"key":"b","text":"A is true, R is false.","textHi":"A सत्य है, R असत्य है।","imageUrl":null},{"key":"c","text":"Both A and R are true, and R is the correct explanation of A.","textHi":"A और R दोनों सत्य हैं और R, A की सही व्याख्या है।","imageUrl":null},{"key":"d","text":"A is false, R is true.","textHi":"A असत्य है, R सत्य है।","imageUrl":null}],"correct":"c","sol":"Confession to police (A–R)\nA confession made to a police officer is inadmissible against the accused — A is true.\nSection 23 of the Bharatiya Sakshya Adhiniyam carries forward this bar so that confessions are free of police pressure — R is true.\nThat very safeguard is the reason such confessions are excluded, so R explains A.\nHence option (c).","solHi":"पुलिस अधिकारी के समक्ष दिया गया इकबालिया बयान अभियुक्त के विरुद्ध ग्राह्य नहीं होता — A सत्य।\nभारतीय साक्ष्य अधिनियम की धारा 23 इसी रोक को आगे बढ़ाती है ताकि बयान पुलिस दबाव से मुक्त रहें — R सत्य।\nयही संरक्षण ऐसे बयानों को बाहर रखने का कारण है, अतः R, A की व्याख्या करता है।\nअतः विकल्प (c)।","pos":2,"neg":0.5},{"id":1242,"n":42,"subject":"General Awareness","stem":"With reference to the traditional Kalbelia dance of Rajasthan, consider the following statements:\n1. Women performers wear black, mirror-decorated swirling skirts.\n2. It was inscribed on UNESCO's Representative List of Intangible Cultural Heritage in 2010.\nWhich of the above statements is/are correct?","stemHi":"राजस्थान के पारंपरिक कालबेलिया नृत्य के संबंध में निम्न कथनों पर विचार कीजिए:\n1. नर्तकियाँ काले, शीशे जड़े घेरदार घाघरे पहनती हैं।\n2. इसे 2010 में यूनेस्को की अमूर्त सांस्कृतिक विरासत की प्रतिनिधि सूची में शामिल किया गया।\nउपर्युक्त में से कौन-सा/से कथन सही है/हैं?","context":null,"contextHi":null,"options":[{"key":"a","text":"Neither 1 nor 2 is correct","textHi":"न 1 न 2 सही है","imageUrl":null},{"key":"b","text":"Only 2 is correct","textHi":"केवल 2 सही है","imageUrl":null},{"key":"c","text":"Both 1 and 2 are correct","textHi":"1 और 2 दोनों सही हैं","imageUrl":null},{"key":"d","text":"Only 1 is correct","textHi":"केवल 1 सही है","imageUrl":null}],"correct":"c","sol":"Kalbelia\nKalbelia dancers wear flowing black skirts embroidered with mirror work and silver thread — Statement 1 correct.\nUNESCO inscribed Kalbelia folk songs and dances on its Representative List in 2010 — Statement 2 correct.\nThe dance imitates the movement of a serpent, reflecting the community’s snake-charming tradition.\nHence Both — option (c).","solHi":"कालबेलिया नर्तकियाँ शीशे और चाँदी के धागे की कढ़ाई वाले बहते काले घाघरे पहनती हैं — कथन 1 सही।\nयूनेस्को ने 2010 में कालबेलिया लोकगीत और नृत्य को प्रतिनिधि सूची में शामिल किया — कथन 2 सही।\nयह नृत्य साँप की गति का अनुकरण करता है, जो समुदाय की सपेरा परंपरा दर्शाता है।\nअतः दोनों — विकल्प (c)।","pos":2,"neg":0.5},{"id":1243,"n":43,"subject":"General Awareness","stem":"According to the Global Peace Index, which nation has maintained its position as the most peaceful country in the world for several consecutive years?","stemHi":"ग्लोबल पीस इंडेक्स के अनुसार कौन-सा देश लगातार कई वर्षों से विश्व का सबसे शांतिपूर्ण देश बना हुआ है?","context":null,"contextHi":null,"options":[{"key":"a","text":"Finland","textHi":"फ़िनलैंड","imageUrl":null},{"key":"b","text":"Iceland","textHi":"आइसलैंड","imageUrl":null},{"key":"c","text":"Norway","textHi":"नॉर्वे","imageUrl":null},{"key":"d","text":"Austria","textHi":"ऑस्ट्रिया","imageUrl":null}],"correct":"b","sol":"Global Peace Index\nIceland has topped the Global Peace Index every year since 2008.\nThe index is published by the Institute for Economics and Peace.\nIt rates countries on societal safety, ongoing conflict and militarisation.\nHence option (b).","solHi":"आइसलैंड 2008 से हर वर्ष ग्लोबल पीस इंडेक्स में शीर्ष पर रहा है।\nयह सूचकांक इंस्टीट्यूट फॉर इकोनॉमिक्स एंड पीस प्रकाशित करता है।\nइसमें सामाजिक सुरक्षा, चल रहे संघर्ष और सैन्यीकरण के आधार पर देशों को आँका जाता है।\nअतः विकल्प (b)।","pos":2,"neg":0.5},{"id":1244,"n":44,"subject":"General Awareness","stem":"Examine the following statements and choose the correct answer:\nAssertion (A): Financial institutions play a key role in transferring the effects of monetary policy to the broader economy.\nReason (R): They modify their deposit and lending rates based on the policy rate decided by the central bank.","stemHi":"निम्न कथनों की जाँच कर सही उत्तर चुनिए:\nअभिकथन (A): मौद्रिक नीति के प्रभाव को व्यापक अर्थव्यवस्था तक पहुँचाने में वित्तीय संस्थाएँ प्रमुख भूमिका निभाती हैं।\nकारण (R): वे केंद्रीय बैंक द्वारा तय नीतिगत दर के आधार पर अपनी जमा और ऋण दरें बदलती हैं।","context":null,"contextHi":null,"options":[{"key":"a","text":"Both A and R are true, but R does not explain A.","textHi":"A और R दोनों सत्य हैं, परंतु R व्याख्या नहीं करता।","imageUrl":null},{"key":"b","text":"A is true, but R is false.","textHi":"A सत्य है, परंतु R असत्य है।","imageUrl":null},{"key":"c","text":"Both A and R are true, and R correctly explains A.","textHi":"A और R दोनों सत्य हैं और R, A की सही व्याख्या करता है।","imageUrl":null},{"key":"d","text":"A is false, but R is true.","textHi":"A असत्य है, परंतु R सत्य है।","imageUrl":null}],"correct":"c","sol":"Monetary transmission (A–R)\nBanks and other institutions are the channel through which a repo-rate change reaches households and firms — A is true.\nThey pass it on by adjusting their own deposit and lending rates — R is true.\nThat adjustment is precisely how the transmission happens, so R explains A.\nHence option (c).","solHi":"रेपो दर में बदलाव घरों और कंपनियों तक बैंकों व अन्य संस्थाओं के माध्यम से ही पहुँचता है — A सत्य।\nवे अपनी जमा और ऋण दरें बदलकर उसे आगे पहुँचाती हैं — R सत्य।\nयही समायोजन संचरण की प्रक्रिया है, अतः R, A की व्याख्या करता है।\nअतः विकल्प (c)।","pos":2,"neg":0.5},{"id":1245,"n":45,"subject":"General Awareness","stem":"During the Revolt of 1857, revolutionary leader Peer Ali Khan led rebel activities and opposed British authority in which key city of Bihar?","stemHi":"1857 के विद्रोह में क्रांतिकारी नेता पीर अली खान ने बिहार के किस प्रमुख शहर में विद्रोही गतिविधियों का नेतृत्व किया?","context":null,"contextHi":null,"options":[{"key":"a","text":"Nalanda","textHi":"नालंदा","imageUrl":null},{"key":"b","text":"Patna","textHi":"पटना","imageUrl":null},{"key":"c","text":"Darbhanga","textHi":"दरभंगा","imageUrl":null},{"key":"d","text":"Arrah","textHi":"आरा","imageUrl":null}],"correct":"b","sol":"Peer Ali Khan\nPeer Ali Khan ran a bookshop in Patna that became a centre of revolutionary activity.\nHe led the uprising there in July 1857 and was hanged for it.\nKunwar Singh led the revolt at Arrah in the same period.\nHence option (b).","solHi":"पीर अली खान की पटना में किताबों की दुकान थी, जो क्रांतिकारी गतिविधियों का केंद्र बनी।\nउन्होंने जुलाई 1857 में वहाँ विद्रोह का नेतृत्व किया और इसी कारण फाँसी पर चढ़े।\nउसी दौर में कुंवर सिंह ने आरा में विद्रोह का नेतृत्व किया।\nअतः विकल्प (b)।","pos":2,"neg":0.5},{"id":1246,"n":46,"subject":"General Awareness","stem":"The Industrial Policy Resolution of 1956 was primarily aimed at achieving which of the following objectives?","stemHi":"1956 का औद्योगिक नीति संकल्प मुख्यतः किस उद्देश्य की प्राप्ति हेतु था?","context":null,"contextHi":null,"options":[{"key":"a","text":"Balanced economic growth","textHi":"संतुलित आर्थिक विकास","imageUrl":null},{"key":"b","text":"Privatisation of major industries","textHi":"प्रमुख उद्योगों का निजीकरण","imageUrl":null},{"key":"c","text":"Promotion of free-market competition","textHi":"मुक्त बाज़ार प्रतिस्पर्धा को बढ़ावा","imageUrl":null},{"key":"d","text":"Encouragement of foreign monopoly","textHi":"विदेशी एकाधिकार को प्रोत्साहन","imageUrl":null}],"correct":"a","sol":"IPR 1956\nThe 1956 Resolution aimed at a socialistic pattern of society with the public sector leading.\nIt sought balanced regional development, growth of heavy industry and reduction of inequality.\nPrivatisation and free-market competition came only after 1991.\nHence option (a).","solHi":"1956 का संकल्प सार्वजनिक क्षेत्र के नेतृत्व में समाजवादी ढाँचे के समाज का लक्ष्य रखता था।\nइसमें संतुलित क्षेत्रीय विकास, भारी उद्योग की वृद्धि और असमानता घटाने पर बल था।\nनिजीकरण और मुक्त बाज़ार प्रतिस्पर्धा तो 1991 के बाद आए।\nअतः विकल्प (a)।","pos":2,"neg":0.5},{"id":1247,"n":47,"subject":"General Awareness","stem":"Examine the following statements and select the correct answer:\nAssertion (A): Potti Sriramulu undertook a hunger strike demanding a separate state for Telugu-speaking people.\nReason (R): His sacrifice became the catalyst for the reorganization of Indian states on linguistic lines.","stemHi":"निम्न कथनों की जाँच कर सही उत्तर चुनिए:\nअभिकथन (A): पोट्टी श्रीरामुलु ने तेलुगुभाषी लोगों के लिए अलग राज्य की माँग को लेकर आमरण अनशन किया।\nकारण (R): उनका बलिदान भाषायी आधार पर राज्यों के पुनर्गठन का उत्प्रेरक बना।","context":null,"contextHi":null,"options":[{"key":"a","text":"A is true, but R is false.","textHi":"A सत्य है, परंतु R असत्य है।","imageUrl":null},{"key":"b","text":"Both A and R are true, and R correctly explains A.","textHi":"A और R दोनों सत्य हैं और R, A की सही व्याख्या करता है।","imageUrl":null},{"key":"c","text":"Both A and R are true, but R does not explain A.","textHi":"A और R दोनों सत्य हैं, परंतु R व्याख्या नहीं करता।","imageUrl":null},{"key":"d","text":"A is false, but R is true.","textHi":"A असत्य है, परंतु R सत्य है।","imageUrl":null}],"correct":"b","sol":"Potti Sriramulu (A–R)\nPotti Sriramulu fasted for 58 days demanding a Telugu state and died in December 1952 — A is true.\nAndhra State was created within days, and the States Reorganisation Commission followed — R is true.\nHis death is what forced the linguistic reorganisation, so R explains A.\nHence option (b).","solHi":"पोट्टी श्रीरामुलु ने तेलुगु राज्य की माँग पर 58 दिन अनशन किया और दिसंबर 1952 में उनका निधन हुआ — A सत्य।\nकुछ ही दिनों में आंध्र राज्य बना और उसके बाद राज्य पुनर्गठन आयोग गठित हुआ — R सत्य।\nउनकी मृत्यु ने ही भाषायी पुनर्गठन को अनिवार्य बनाया, अतः R, A की व्याख्या करता है।\nअतः विकल्प (b)।","pos":2,"neg":0.5},{"id":1248,"n":48,"subject":"General Awareness","stem":"Jayaprakash Narayan's idea of Total Revolution sought to transform Indian society through multiple dimensions. Which of the following aspects were part of his vision?\n1. Social change to eliminate corruption\n2. Political restructuring for decentralization of authority\n3. Armed uprising against the State\n4. Economic transformation based on equality and self-reliance","stemHi":"जयप्रकाश नारायण की "संपूर्ण क्रांति" की अवधारणा भारतीय समाज को अनेक आयामों में बदलना चाहती थी। निम्न में से कौन-से पक्ष उनकी परिकल्पना का हिस्सा थे?\n1. भ्रष्टाचार मिटाने हेतु सामाजिक परिवर्तन\n2. सत्ता के विकेंद्रीकरण हेतु राजनीतिक पुनर्गठन\n3. राज्य के विरुद्ध सशस्त्र विद्रोह\n4. समानता और आत्मनिर्भरता पर आधारित आर्थिक परिवर्तन","context":null,"contextHi":null,"options":[{"key":"a","text":"1 and 2 only","textHi":"केवल 1 और 2","imageUrl":null},{"key":"b","text":"1, 2, 3 and 4","textHi":"1, 2, 3 और 4","imageUrl":null},{"key":"c","text":"2 and 3 only","textHi":"केवल 2 और 3","imageUrl":null},{"key":"d","text":"1, 3 and 4 only","textHi":"केवल 1, 3 और 4","imageUrl":null}],"correct":"a","sol":"Total Revolution\nTotal Revolution called for change in seven spheres, all through non-violent means.\nEnding corruption and decentralising political power were central to it — 1 and 2 correct.\nJP was a Gandhian and firmly rejected armed uprising, so 3 is wrong; the option pairing 1 and 2 is the one offered.\nHence 1 and 2 only — option (a).","solHi":"संपूर्ण क्रांति सात क्षेत्रों में बदलाव की बात करती थी, वह भी अहिंसक तरीकों से।\nभ्रष्टाचार समाप्त करना और सत्ता का विकेंद्रीकरण इसके केंद्र में थे — 1 और 2 सही।\nजेपी गांधीवादी थे और सशस्त्र विद्रोह को सिरे से नकारते थे, अतः 3 गलत; इसीलिए 1 और 2 वाला विकल्प सही है।\nअतः केवल 1 और 2 — विकल्प (a)।","pos":2,"neg":0.5},{"id":1249,"n":49,"subject":"General Awareness","stem":"During which Five-Year Plan was the Industrial Policy Resolution of 1956, highlighting the concept of 'commanding heights' of the economy, given major importance?","stemHi":"अर्थव्यवस्था की 'कमानडिंग हाइट्स' की अवधारणा पर बल देने वाले 1956 के औद्योगिक नीति संकल्प को किस पंचवर्षीय योजना में प्रमुख महत्व मिला?","context":null,"contextHi":null,"options":[{"key":"a","text":"Fourth Five-Year Plan","textHi":"चौथी पंचवर्षीय योजना","imageUrl":null},{"key":"b","text":"Second Five-Year Plan","textHi":"दूसरी पंचवर्षीय योजना","imageUrl":null},{"key":"c","text":"Fifth Five-Year Plan","textHi":"पाँचवीं पंचवर्षीय योजना","imageUrl":null},{"key":"d","text":"Seventh Five-Year Plan","textHi":"सातवीं पंचवर्षीय योजना","imageUrl":null}],"correct":"b","sol":"Second Five-Year Plan\nThe Second Plan (1956-61) was based on the Mahalanobis model.\nIt stressed heavy and basic industries under state control — the commanding heights.\nThe IPR of 1956 was framed to serve exactly this plan.\nHence option (b).","solHi":"दूसरी योजना (1956-61) महालनोबिस मॉडल पर आधारित थी।\nइसमें राज्य नियंत्रण वाले भारी और आधारभूत उद्योगों — कमानडिंग हाइट्स — पर बल था।\n1956 का IPR इसी योजना की सेवा हेतु बनाया गया था।\nअतः विकल्प (b)।","pos":2,"neg":0.5},{"id":1250,"n":50,"subject":"General Awareness","stem":"In the context of globalization, what is the primary function of the World Trade Organization (WTO)?","stemHi":"वैश्वीकरण के संदर्भ में विश्व व्यापार संगठन (WTO) का मुख्य कार्य क्या है?","context":null,"contextHi":null,"options":[{"key":"a","text":"Supervise environmental protection measures","textHi":"पर्यावरण संरक्षण उपायों की निगरानी","imageUrl":null},{"key":"b","text":"Ensure fair and transparent trade practices among member countries","textHi":"सदस्य देशों के बीच निष्पक्ष और पारदर्शी व्यापार सुनिश्चित करना","imageUrl":null},{"key":"c","text":"Regulate international tourism","textHi":"अंतरराष्ट्रीय पर्यटन का नियमन","imageUrl":null},{"key":"d","text":"Oversee global labour migration","textHi":"वैश्विक श्रम प्रवास की देखरेख","imageUrl":null}],"correct":"b","sol":"WTO\nThe WTO came into being in 1995, replacing GATT.\nIt frames trade rules, holds negotiations and settles disputes among members.\nIts aim is a fair, predictable and transparent trading system.\nHence option (b).","solHi":"WTO 1995 में GATT के स्थान पर अस्तित्व में आया।\nयह व्यापार नियम बनाता है, वार्ताएँ कराता है और सदस्यों के विवाद सुलझाता है।\nइसका लक्ष्य निष्पक्ष, पूर्वानुमेय और पारदर्शी व्यापार प्रणाली है।\nअतः विकल्प (b)।","pos":2,"neg":0.5},{"id":1251,"n":51,"subject":"Quantitative Aptitude","stem":"An electronics store orders 180 portable speakers at a cost of ₹420 each. The owner plans to price them so that selling only 140 speakers would guarantee a 30% profit on the total investment. However, a local event leads to the sale of 155 speakers. If the remaining speakers have no resale value, calculate the store's actual profit percentage on the total investment.","stemHi":"एक इलेक्ट्रॉनिक्स स्टोर ₹420 प्रति नग की दर से 180 पोर्टेबल स्पीकर मँगाता है। मालिक ऐसा मूल्य तय करता है कि केवल 140 स्पीकर बेचने पर ही कुल निवेश पर 30% लाभ सुनिश्चित हो जाए। परंतु एक स्थानीय आयोजन के कारण 155 स्पीकर बिक जाते हैं। यदि शेष स्पीकरों का कोई पुनर्विक्रय मूल्य नहीं है, तो कुल निवेश पर स्टोर का वास्तविक लाभ प्रतिशत ज्ञात कीजिए।","context":null,"contextHi":null,"options":[{"key":"a","text":"15.52%","textHi":null,"imageUrl":null},{"key":"b","text":"16.83%","textHi":null,"imageUrl":null},{"key":"c","text":"20.23%","textHi":null,"imageUrl":null},{"key":"d","text":"43.93%","textHi":null,"imageUrl":null}],"correct":"d","sol":"Profit on total investment\n $\"figure\"/$ \nTotal cost = 180 × 420 = ₹75,600; a 30% profit needs a revenue of 75,600 ×

\frac{130}{100}

= ₹98,280.\nThat revenue is to come from 140 speakers, so SP per speaker =

\frac{98280}{140}

= ₹702.\nActual revenue on 155 speakers = 155 × 702 = ₹1,08,810.\nProfit = 1,08,810 − 75,600 = ₹33,210 ⇒

\frac{33210}{75600}

× 100 = 43.93% — option (d).","solHi":" $\"figure\"/$ \nकुल लागत = 180 × 420 = ₹75,600; 30% लाभ हेतु आय चाहिए 75,600 ×

\frac{130}{100}

= ₹98,280।\nयह आय 140 स्पीकरों से आनी है, अतः प्रति स्पीकर SP =

\frac{98280}{140}

= ₹702।\n155 स्पीकरों से वास्तविक आय = 155 × 702 = ₹1,08,810।\nलाभ = 1,08,810 − 75,600 = ₹33,210 ⇒

\frac{33210}{75600}

× 100 = 43.93% — विकल्प (d)।","pos":2,"neg":0.5},{"id":1252,"n":52,"subject":"Quantitative Aptitude","stem":"The set of integers includes which of the following?","stemHi":"पूर्णांकों के समुच्चय में निम्न में से क्या शामिल है?","context":null,"contextHi":null,"options":[{"key":"a","text":"Only positive numbers","textHi":"केवल धनात्मक संख्याएँ","imageUrl":null},{"key":"b","text":"Both positive and negative numbers","textHi":"धनात्मक और ऋणात्मक दोनों संख्याएँ","imageUrl":null},{"key":"c","text":"Only whole numbers","textHi":"केवल पूर्ण संख्याएँ","imageUrl":null},{"key":"d","text":"Only natural numbers","textHi":"केवल प्राकृत संख्याएँ","imageUrl":null}],"correct":"b","sol":"Set of integers\nIntegers are …, −3, −2, −1, 0, 1, 2, 3, …\nThey therefore take in the negatives, zero and the positives.\nWhole numbers and natural numbers are only parts of this larger set.\nHence option (b).","solHi":"पूर्णांक हैं …, −3, −2, −1, 0, 1, 2, 3, …\nअतः इनमें ऋणात्मक संख्याएँ, शून्य और धनात्मक संख्याएँ सभी आती हैं।\nपूर्ण संख्याएँ और प्राकृत संख्याएँ इसी बड़े समुच्चय के भाग हैं।\nअतः विकल्प (b)।","pos":2,"neg":0.5},{"id":1253,"n":53,"subject":"Quantitative Aptitude","stem":"Riya crosses a road 150 metres wide in 75 seconds. Her speed in km/h is:","stemHi":"रिया 150 मीटर चौड़ी सड़क 75 सेकंड में पार करती है। उसकी चाल km/h में कितनी है?","context":null,"contextHi":null,"options":[{"key":"a","text":"7.0 km/h","textHi":null,"imageUrl":null},{"key":"b","text":"7.1 km/h","textHi":null,"imageUrl":null},{"key":"c","text":"7.2 km/h","textHi":null,"imageUrl":null},{"key":"d","text":"7.5 km/h","textHi":null,"imageUrl":null}],"correct":"c","sol":"Speed conversion\n $\"figure\"/$ \nSpeed =

\frac{150}{75}

= 2 m/s.\nTo convert m/s into km/h, multiply by

\frac{18}{5}

.\n2 × 3.6.\n= 7.2 km/h — option (c).","solHi":" $\"figure\"/$ \nचाल =

\frac{150}{75}

= 2 मी/से।\nm/s को km/h में बदलने हेतु

\frac{18}{5}

से गुणा कीजिए।\n2 × 3.6।\n= 7.2 km/h — विकल्प (c)।","pos":2,"neg":0.5},{"id":1254,"n":54,"subject":"Quantitative Aptitude","stem":"A sphere is inscribed inside a cube. The volume of the cube is 3375 cm³. What is the total surface area of the sphere?","stemHi":"एक घन के भीतर गोला अंतर्निहित है। घन का आयतन 3375 cm³ है। गोले का कुल पृष्ठीय क्षेत्रफल क्या है?","context":null,"contextHi":null,"options":[{"key":"a","text":"225π cm²","textHi":null,"imageUrl":null},{"key":"b","text":"254π cm²","textHi":null,"imageUrl":null},{"key":"c","text":"256π cm²","textHi":null,"imageUrl":null},{"key":"d","text":"298π cm²","textHi":null,"imageUrl":null}],"correct":"a","sol":"Sphere in a cube\n $\"figure\"/$ \nCube volume 3375 = a³, so the edge a = 15 cm.\nAn inscribed sphere has diameter equal to the edge, so r = 7.5 cm.\nSurface area = 4πr² = 4π × 56.25.\n= 225π cm² — option (a).","solHi":" $\"figure\"/$ \nघन का आयतन 3375 = a³, अतः भुजा a = 15 cm।\nअंतर्निहित गोले का व्यास भुजा के बराबर होता है, अतः r = 7.5 cm।\nपृष्ठीय क्षेत्रफल = 4πr² = 4π × 56.25।\n= 225π cm² — विकल्प (a)।","pos":2,"neg":0.5},{"id":1255,"n":55,"subject":"Quantitative Aptitude","stem":"A large wooden box, open at the top, needs to be lined with fabric on its inner floor and inner four side walls. The inner dimensions of the box are 5 m length, 3.6 m width and 2.4 m height. If the fabric comes in square pieces of side 100 cm, and 30% extra fabric is needed for cuts and overlaps, approximately how many fabric pieces should be purchased?","stemHi":"एक बड़े लकड़ी के बक्से का ऊपरी भाग खुला है और उसके भीतरी तल तथा चारों भीतरी दीवारों पर कपड़ा लगाना है। बक्से की भीतरी विमाएँ 5 m लंबाई, 3.6 m चौड़ाई और 2.4 m ऊँचाई हैं। यदि कपड़ा 100 cm भुजा वाले वर्गाकार टुकड़ों में आता है और कटाई-ओवरलैप हेतु 30% अतिरिक्त कपड़ा चाहिए, तो लगभग कितने टुकड़े खरीदने होंगे?","context":null,"contextHi":null,"options":[{"key":"a","text":"77","textHi":null,"imageUrl":null},{"key":"b","text":"88","textHi":null,"imageUrl":null},{"key":"c","text":"62","textHi":null,"imageUrl":null},{"key":"d","text":"98","textHi":null,"imageUrl":null}],"correct":"a","sol":"Lining an open box\n $\"figure\"/$ \nFloor = 5 × 3.6 = 18 m²; four walls = 2 × 2.4 × (5 + 3.6) = 41.28 m².\nTotal to be covered = 18 + 41.28 = 59.28 m².\nWith 30% extra: 59.28 ×

\frac{130}{100}

= 77.064 m².\nEach piece is 1 m × 1 m = 1 m², so about 77 pieces — option (a).","solHi":" $\"figure\"/$ \nतल = 5 × 3.6 = 18 m²; चारों दीवारें = 2 × 2.4 × (5 + 3.6) = 41.28 m²।\nढकने योग्य कुल क्षेत्रफल = 18 + 41.28 = 59.28 m²।\n30% अतिरिक्त सहित: 59.28 ×

\frac{130}{100}

= 77.064 m²।\nहर टुकड़ा 1 m × 1 m = 1 m² का है, अतः लगभग 77 टुकड़े — विकल्प (a)।","pos":2,"neg":0.5},{"id":1256,"n":56,"subject":"Quantitative Aptitude","stem":"P and Q start a business with ₹2,40,000 and ₹3,60,000 respectively. After 4 months P adds ₹60,000 more, and Q withdraws ₹60,000. At the end of 1 year they make a profit of ₹2,40,000. What is Q's share of the profit?","stemHi":"P और Q क्रमशः ₹2,40,000 और ₹3,60,000 से व्यवसाय शुरू करते हैं। 4 माह बाद P ₹60,000 और मिलाता है तथा Q ₹60,000 निकाल लेता है। एक वर्ष के अंत में उन्हें ₹2,40,000 का लाभ होता है। Q का हिस्सा कितना होगा?","context":null,"contextHi":null,"options":[{"key":"a","text":"₹1,28,000","textHi":null,"imageUrl":null},{"key":"b","text":"₹1,25,000","textHi":null,"imageUrl":null},{"key":"c","text":"₹2,00,000","textHi":null,"imageUrl":null},{"key":"d","text":"₹2,90,000","textHi":null,"imageUrl":null}],"correct":"a","sol":"Partnership with change\n $\"figure\"/$ \nP: 2,40,000 × 4 + 3,00,000 × 8 = 9,60,000 + 24,00,000 = 33,60,000.\nQ: 3,60,000 × 4 + 3,00,000 × 8 = 14,40,000 + 24,00,000 = 38,40,000.\nRatio P : Q = 336 : 384 = 7 : 8, i.e. 15 parts in all.\nQ’s share =

\frac{8}{15}

× 2,40,000 = ₹1,28,000 — option (a).","solHi":" $\"figure\"/$ \nP: 2,40,000 × 4 + 3,00,000 × 8 = 9,60,000 + 24,00,000 = 33,60,000।\nQ: 3,60,000 × 4 + 3,00,000 × 8 = 14,40,000 + 24,00,000 = 38,40,000।\nअनुपात P : Q = 336 : 384 = 7 : 8, अर्थात कुल 15 भाग।\nQ का हिस्सा =

\frac{8}{15}

× 2,40,000 = ₹1,28,000 — विकल्प (a)।","pos":2,"neg":0.5},{"id":1257,"n":57,"subject":"Quantitative Aptitude","stem":"A square of side 12 cm has a smaller square (of side 5 cm) removed from one side. What is the ratio of the remaining area to the original area?","stemHi":"12 cm भुजा वाले वर्ग में से एक ओर से 5 cm भुजा का छोटा वर्ग हटा दिया जाता है। शेष क्षेत्रफल और मूल क्षेत्रफल का अनुपात क्या है?","context":null,"contextHi":null,"options":[{"key":"a","text":"129 : 136","textHi":null,"imageUrl":null},{"key":"b","text":"119 : 144","textHi":null,"imageUrl":null},{"key":"c","text":"114 : 119","textHi":null,"imageUrl":null},{"key":"d","text":"117 : 125","textHi":null,"imageUrl":null}],"correct":"b","sol":"Remaining area ratio\n $\"figure\"/$ \nLarge square = 12² = 144 cm².\nSmall square removed = 5² = 25 cm².\nRemaining = 144 − 25 = 119 cm².\nRatio = 119 : 144 — option (b).","solHi":" $\"figure\"/$ \nबड़ा वर्ग = 12² = 144 cm²।\nहटाया गया छोटा वर्ग = 5² = 25 cm²।\nशेष = 144 − 25 = 119 cm²।\nअनुपात = 119 : 144 — विकल्प (b)।","pos":2,"neg":0.5},{"id":1258,"n":58,"subject":"Quantitative Aptitude","stem":"A rectangular park is 80 m by 40 m. A semicircular pond of diameter 20 m is inside it. What percent of the park's area does the pond occupy?","stemHi":"एक आयताकार पार्क 80 m × 40 m का है। उसके भीतर 20 m व्यास का अर्धवृत्ताकार तालाब है। तालाब पार्क के क्षेत्रफल का कितने प्रतिशत घेरता है?","context":null,"contextHi":null,"options":[{"key":"a","text":"6.91%","textHi":null,"imageUrl":null},{"key":"b","text":"4.91%","textHi":null,"imageUrl":null},{"key":"c","text":"5.81%","textHi":null,"imageUrl":null},{"key":"d","text":"3.00%","textHi":null,"imageUrl":null}],"correct":"b","sol":"Semicircular pond\n $\"figure\"/$ \nPark area = 80 × 40 = 3200 m².\nDiameter 20 m gives r = 10 m, so pond =

\frac{1}{2}

πr² =

\frac{1}{2}

\frac{22}{7}

× 100 = 157.14 m².\nPercentage =

\frac{157.14}{3200}

× 100.\n≈ 4.91% — option (b).","solHi":" $\"figure\"/$ \nपार्क का क्षेत्रफल = 80 × 40 = 3200 m²।\nव्यास 20 m से r = 10 m, अतः तालाब =

\frac{1}{2}

πr² =

\frac{1}{2}

\frac{22}{7}

× 100 = 157.14 m²।\nप्रतिशत =

\frac{157.14}{3200}

× 100।\n≈ 4.91% — विकल्प (b)।","pos":2,"neg":0.5},{"id":1259,"n":59,"subject":"Quantitative Aptitude","stem":"A regular hexagon has a perimeter of 84 cm. What is its area?","stemHi":"एक सम षट्भुज का परिमाप 84 cm है। उसका क्षेत्रफल क्या है?","context":null,"contextHi":null,"options":[{"key":"a","text":"508.62 cm²","textHi":null,"imageUrl":null},{"key":"b","text":"450.00 cm²","textHi":null,"imageUrl":null},{"key":"c","text":"600.12 cm²","textHi":null,"imageUrl":null},{"key":"d","text":"480.36 cm²","textHi":null,"imageUrl":null}],"correct":"a","sol":"$29","solHi":"$2a","pos":2,"neg":0.5},{"id":1260,"n":60,"subject":"Quantitative Aptitude","stem":"Out of her total monthly income, a woman spends 50% on household expenses and 20% on savings. The remaining is spent on other items. What percentage of her income is spent on these other items?","stemHi":"एक महिला अपनी कुल मासिक आय का 50% घरेलू खर्च और 20% बचत पर लगाती है। शेष अन्य मदों पर खर्च होता है। अन्य मदों पर उसकी आय का कितना प्रतिशत खर्च होता है?","context":null,"contextHi":null,"options":[{"key":"a","text":"25%","textHi":null,"imageUrl":null},{"key":"b","text":"30%","textHi":null,"imageUrl":null},{"key":"c","text":"35%","textHi":null,"imageUrl":null},{"key":"d","text":"40%","textHi":null,"imageUrl":null}],"correct":"b","sol":"Remaining percentage\nHousehold expenses and savings together = 50% + 20% = 70%.\nThe whole income is 100%.\nRemaining = 100% − 70%.\n= 30% — option (b).","solHi":"घरेलू खर्च और बचत मिलाकर = 50% + 20% = 70%।\nपूरी आय 100% है।\nशेष = 100% − 70%।\n= 30% — विकल्प (b)।","pos":2,"neg":0.5},{"id":1261,"n":61,"subject":"Quantitative Aptitude","stem":"X's salary is 50% more than Y's. If Y's salary increases by 30% and X's increases by p%, then X's new salary becomes 20% more than Y's new salary. What is the value of p?","stemHi":"X का वेतन Y से 50% अधिक है। यदि Y का वेतन 30% बढ़े और X का p% बढ़े, तो X का नया वेतन Y के नए वेतन से 20% अधिक हो जाता है। p का मान क्या है?","context":null,"contextHi":null,"options":[{"key":"a","text":"2%","textHi":null,"imageUrl":null},{"key":"b","text":"4%","textHi":null,"imageUrl":null},{"key":"c","text":"5%","textHi":null,"imageUrl":null},{"key":"d","text":"6%","textHi":null,"imageUrl":null}],"correct":"b","sol":"Percentage of a percentage\n $\"figure\"/$ \nTake Y = 100, so X = 150.\nNew Y = 100 × 1.30 = 130; the new X must be 20% more than this = 130 × 1.2 = 156.\nSo 150 ×

\frac{100 + p}{100}

= 156 ⇒ 150 + 1.5p = 156.\n1.5p = 6 ⇒ p = 4% — option (b).","solHi":" $\"figure\"/$ \nY = 100 लीजिए, अतः X = 150।\nनया Y = 100 × 1.30 = 130; नया X इससे 20% अधिक होना चाहिए = 130 × 1.2 = 156।\nअतः 150 ×

\frac{100 + p}{100}

= 156 ⇒ 150 + 1.5p = 156।\n1.5p = 6 ⇒ p = 4% — विकल्प (b)।","pos":2,"neg":0.5},{"id":1262,"n":62,"subject":"Quantitative Aptitude","stem":"The average of a certain number of quantities is 38. If 7 is added to each quantity, what will be the new average?","stemHi":"कुछ राशियों का औसत 38 है। यदि प्रत्येक राशि में 7 जोड़ दिया जाए, तो नया औसत क्या होगा?","context":null,"contextHi":null,"options":[{"key":"a","text":"38","textHi":null,"imageUrl":null},{"key":"b","text":"45","textHi":null,"imageUrl":null},{"key":"c","text":"40","textHi":null,"imageUrl":null},{"key":"d","text":"50","textHi":null,"imageUrl":null}],"correct":"b","sol":"Average shift\nAdding the same number to every quantity shifts the average by that number.\nSo the new average = old average + 7.\n38 + 7.\n= 45 — option (b).","solHi":"हर राशि में समान संख्या जोड़ने पर औसत भी उतना ही खिसक जाता है।\nअतः नया औसत = पुराना औसत + 7।\n38 + 7।\n= 45 — विकल्प (b)।","pos":2,"neg":0.5},{"id":1263,"n":63,"subject":"Quantitative Aptitude","stem":"A triangular prism has a base of area 56 cm² and height 15 cm. If 20% of the prism is hollowed out for wiring, what is the volume of the solid part?","stemHi":"एक त्रिभुजाकार प्रिज़्म का आधार क्षेत्रफल 56 cm² और ऊँचाई 15 cm है। यदि वायरिंग हेतु प्रिज़्म का 20% भाग खोखला कर दिया जाए, तो ठोस भाग का आयतन क्या है?","context":null,"contextHi":null,"options":[{"key":"a","text":"672 cm³","textHi":null,"imageUrl":null},{"key":"b","text":"680 cm³","textHi":null,"imageUrl":null},{"key":"c","text":"690 cm³","textHi":null,"imageUrl":null},{"key":"d","text":"700 cm³","textHi":null,"imageUrl":null}],"correct":"a","sol":"Prism minus hollow\n $\"figure\"/$ \nVolume of the prism = base area × height = 56 × 15 = 840 cm³.\n20% is hollow, so the solid part is 80%.\n840 ×

\frac{80}{100}

.\n= 672 cm³ — option (a).","solHi":" $\"figure\"/$ \nप्रिज़्म का आयतन = आधार क्षेत्रफल × ऊँचाई = 56 × 15 = 840 cm³।\n20% खोखला है, अतः ठोस भाग 80% होगा।\n840 ×

\frac{80}{100}

।\n= 672 cm³ — विकल्प (a)।","pos":2,"neg":0.5},{"id":1264,"n":64,"subject":"Quantitative Aptitude","stem":"A group of 6 friends went to a cafe. If 5 of them paid ₹250 each and the sixth paid ₹x, the average bill per person came out to be ₹270. What is the value of x?","stemHi":"6 मित्र एक कैफ़े गए। यदि उनमें से 5 ने ₹250 प्रत्येक दिए और छठे ने ₹x दिए, तथा प्रति व्यक्ति औसत बिल ₹270 रहा, तो x का मान क्या है?","context":null,"contextHi":null,"options":[{"key":"a","text":"₹350","textHi":null,"imageUrl":null},{"key":"b","text":"₹370","textHi":null,"imageUrl":null},{"key":"c","text":"₹360","textHi":null,"imageUrl":null},{"key":"d","text":"₹380","textHi":null,"imageUrl":null}],"correct":"b","sol":"Average bill\nTotal bill = 6 × 270 = ₹1,620.\nFive friends paid 5 × 250 = ₹1,250.\nx = 1,620 − 1,250.\n= ₹370 — option (b).","solHi":"कुल बिल = 6 × 270 = ₹1,620।\nपाँच मित्रों ने दिए 5 × 250 = ₹1,250।\nx = 1,620 − 1,250।\n= ₹370 — विकल्प (b)।","pos":2,"neg":0.5},{"id":1265,"n":65,"subject":"Quantitative Aptitude","stem":"A seller offers a 30% discount on an item whose cost price is ₹800. Despite the discount, the seller earns a profit of 25%. What must be the marked price?","stemHi":"एक विक्रेता ₹800 क्रय मूल्य वाली वस्तु पर 30% छूट देता है। छूट के बावजूद उसे 25% लाभ होता है। अंकित मूल्य क्या होना चाहिए?","context":null,"contextHi":null,"options":[{"key":"a","text":"₹1,420","textHi":null,"imageUrl":null},{"key":"b","text":"₹1,430","textHi":null,"imageUrl":null},{"key":"c","text":"₹1,440","textHi":null,"imageUrl":null},{"key":"d","text":"₹1,450","textHi":null,"imageUrl":null}],"correct":"b","sol":"MP from CP and discount\n $\"figure\"/$ \nA 25% profit on ₹800 gives SP = 800 ×

\frac{125}{100}

= ₹1,000.\nThis SP is what remains after a 30% discount, i.e. 70% of the marked price.\nMP =

\frac{1000 \times 100}{70}

\frac{800 \times 125}{70}

.\n≈ ₹1,430 — option (b).","solHi":" $\"figure\"/$ \n₹800 पर 25% लाभ से SP = 800 ×

\frac{125}{100}

= ₹1,000।\nयह SP 30% छूट के बाद बचा मूल्य है, अर्थात अंकित मूल्य का 70%।\nMP =

\frac{1000 \times 100}{70}

\frac{800 \times 125}{70}

।\n≈ ₹1,430 — विकल्प (b)।","pos":2,"neg":0.5},{"id":1266,"n":66,"subject":"Quantitative Aptitude","stem":"If sinA = 0.8, what is the value of tanA?","stemHi":"यदि sinA = 0.8 है, तो tanA का मान क्या है?","context":null,"contextHi":null,"options":[{"key":"a","text":"1.50","textHi":null,"imageUrl":null},{"key":"b","text":"1.33","textHi":null,"imageUrl":null},{"key":"c","text":"1.25","textHi":null,"imageUrl":null},{"key":"d","text":"2.56","textHi":null,"imageUrl":null}],"correct":"b","sol":"tanA from sinA\nsin²A + cos²A = 1, so cos²A = 1 − 0.64 = 0.36.\ncosA = 0.6.\ntanA =

\frac{sinA}{cosA}

\frac{0.8}{0.6}

.\n≈ 1.33 — option (b).","solHi":"sin²A + cos²A = 1, अतः cos²A = 1 − 0.64 = 0.36।\ncosA = 0.6।\ntanA =

\frac{sinA}{cosA}

\frac{0.8}{0.6}

।\n≈ 1.33 — विकल्प (b)।","pos":2,"neg":0.5},{"id":1267,"n":67,"subject":"Quantitative Aptitude","stem":"If cosecA + cotA = r, then what is cosecA in terms of r?","stemHi":"यदि cosecA + cotA = r है, तो cosecA का मान r के पदों में क्या होगा?","context":null,"contextHi":null,"options":[{"key":"a","text":"

\frac{r ² + 2}{2 r}

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

\frac{r ² - 1}{2 r}

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

\frac{r ² + 1}{2 r}

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

\frac{2 r ² + 1}{r}

","textHi":null,"imageUrl":null}],"correct":"c","sol":"cosecA from r\n $\"figure\"/$ \nThe identity cosec²A − cot²A = 1 gives (cosecA + cotA)(cosecA − cotA) = 1.\nSo cosecA − cotA =

\frac{1}{r}

.\nAdding the two: 2 cosecA = r +

\frac{1}{r}

\frac{r ² + 1}{r}

.\ncosecA =

\frac{r ² + 1}{2 r}

— option (c).","solHi":" $\"figure\"/$ \nसर्वसमिका cosec²A − cot²A = 1 से (cosecA + cotA)(cosecA − cotA) = 1।\nअतः cosecA − cotA =

\frac{1}{r}

।\nदोनों जोड़िए: 2 cosecA = r +

\frac{1}{r}

\frac{r ² + 1}{r}

।\ncosecA =

\frac{r ² + 1}{2 r}

— विकल्प (c)।","pos":2,"neg":0.5},{"id":1268,"n":68,"subject":"Quantitative Aptitude","stem":"A circular jogging track has a radius of 60 m. A runner covers a curved path that subtends an angle of 150° at the centre. What is the length of the arc she runs?","stemHi":"एक वृत्ताकार जॉगिंग ट्रैक की त्रिज्या 60 m है। एक धाविका ऐसा वक्र पथ तय करती है जो केंद्र पर 150° का कोण बनाता है। वह जो चाप दौड़ती है उसकी लंबाई क्या है?","context":null,"contextHi":null,"options":[{"key":"a","text":"70π m","textHi":null,"imageUrl":null},{"key":"b","text":"120π m","textHi":null,"imageUrl":null},{"key":"c","text":"100π m","textHi":null,"imageUrl":null},{"key":"d","text":"50π m","textHi":null,"imageUrl":null}],"correct":"d","sol":"Arc length\n $\"figure\"/$ \nArc length = 2πr ×

\frac{θ}{360 °}

.\n= 2π × 60 ×

\frac{150}{360}

.\n= 120π ×

\frac{5}{12}

.\n= 50π m — option (d).","solHi":" $\"figure\"/$ \nचाप की लंबाई = 2πr ×

\frac{θ}{360 °}

।\n= 2π × 60 ×

\frac{150}{360}

।\n= 120π ×

\frac{5}{12}

।\n= 50π m — विकल्प (d)।","pos":2,"neg":0.5},{"id":1269,"n":69,"subject":"Quantitative Aptitude","stem":"Which of the following is true for all acute angles A?","stemHi":"निम्न में से कौन-सा संबंध सभी न्यून कोणों A के लिए सत्य है?","context":null,"contextHi":null,"options":[{"key":"a","text":"tan(90° − A) = sinA","textHi":null,"imageUrl":null},{"key":"b","text":"cos(90° − A) = sinA","textHi":null,"imageUrl":null},{"key":"c","text":"sin(90° − A) = tanA","textHi":null,"imageUrl":null},{"key":"d","text":"cot(90° − A) = cosA","textHi":null,"imageUrl":null}],"correct":"b","sol":"Complementary identity\nFor complementary angles, each ratio turns into its co-ratio.\nSo sin(90° − A) = cosA and cos(90° − A) = sinA.\nLikewise tan(90° − A) = cotA and cot(90° − A) = tanA.\nOnly option (b) states a correct pair — option (b).","solHi":"पूरक कोणों में हर त्रिकोणमितीय अनुपात अपने सह-अनुपात में बदल जाता है।\nअतः sin(90° − A) = cosA और cos(90° − A) = sinA।\nइसी तरह tan(90° − A) = cotA और cot(90° − A) = tanA।\nकेवल विकल्प (b) सही युग्म बताता है — विकल्प (b)।","pos":2,"neg":0.5},{"id":1270,"n":70,"subject":"Quantitative Aptitude","stem":"The compound interest on a certain sum for 2 years at 25% per annum is ₹625. Find the simple interest on the same sum at the same rate and period.","stemHi":"किसी राशि पर 25% वार्षिक दर से 2 वर्ष का चक्रवृद्धि ब्याज ₹625 है। उसी राशि पर उसी दर और अवधि का साधारण ब्याज ज्ञात कीजिए।","context":null,"contextHi":null,"options":[{"key":"a","text":"₹480.25","textHi":null,"imageUrl":null},{"key":"b","text":"₹520.75","textHi":null,"imageUrl":null},{"key":"c","text":"₹555.55","textHi":null,"imageUrl":null},{"key":"d","text":"₹600.50","textHi":null,"imageUrl":null}],"correct":"c","sol":"CI to SI\n $\"figure\"/$ \nCI = P[(1.25)² − 1] = P(1.5625 − 1) = 0.5625P.\n0.5625P = 625 ⇒ P = ₹1,111.11.\nSI =

\frac{P \times R \times T}{100}

\frac{1111.11 \times 25 \times 2}{100}

.\n= ₹555.55 — option (c).","solHi":" $\"figure\"/$ \nCI = P[(1.25)² − 1] = P(1.5625 − 1) = 0.5625P।\n0.5625P = 625 ⇒ P = ₹1,111.11।\nSI =

\frac{P \times R \times T}{100}

\frac{1111.11 \times 25 \times 2}{100}

।\n= ₹555.55 — विकल्प (c)।","pos":2,"neg":0.5},{"id":1271,"n":71,"subject":"Quantitative Aptitude","stem":"What is the distance between the centres of two circles having radii 7 cm and 4 cm such that exactly three common tangents exist?","stemHi":"7 cm और 4 cm त्रिज्या वाले दो वृत्तों के केंद्रों के बीच कितनी दूरी हो कि ठीक तीन उभयनिष्ठ स्पर्श रेखाएँ बनें?","context":null,"contextHi":null,"options":[{"key":"a","text":"11 cm","textHi":null,"imageUrl":null},{"key":"b","text":"3 cm","textHi":null,"imageUrl":null},{"key":"c","text":"7 cm","textHi":null,"imageUrl":null},{"key":"d","text":"14 cm","textHi":null,"imageUrl":null}],"correct":"a","sol":"Three common tangents\n $\"figure\"/$ \nExactly three common tangents occur when the two circles touch each other EXTERNALLY.\nIn that case the distance between the centres equals the sum of the radii.\nd = 7 + 4.\n= 11 cm — option (a).","solHi":" $\"figure\"/$ \nठीक तीन उभयनिष्ठ स्पर्श रेखाएँ तब बनती हैं जब दोनों वृत्त बाह्य रूप से एक-दूसरे को स्पर्श करें।\nऐसी स्थिति में केंद्रों के बीच की दूरी त्रिज्याओं के योग के बराबर होती है।\nd = 7 + 4।\n= 11 cm — विकल्प (a)।","pos":2,"neg":0.5},{"id":1272,"n":72,"subject":"Quantitative Aptitude","stem":"In a circle, the angle subtended by chord AB at the centre is 100°. What is the measure of ∠ACB, where C lies on the circle?","stemHi":"एक वृत्त में जीवा AB केंद्र पर 100° का कोण बनाती है। यदि C वृत्त पर स्थित है, तो ∠ACB की माप क्या है?","context":null,"contextHi":null,"options":[{"key":"a","text":"40°","textHi":null,"imageUrl":null},{"key":"b","text":"45°","textHi":null,"imageUrl":null},{"key":"c","text":"50°","textHi":null,"imageUrl":null},{"key":"d","text":"60°","textHi":null,"imageUrl":null}],"correct":"c","sol":"Angle at circumference\n $\"figure\"/$ \nThe angle at the centre is twice the angle at any point on the remaining circumference.\n∠ACB =

\frac{1}{2}

× ∠AOB.\n=

\frac{100 °}{2}

.\n= 50° — option (c).","solHi":" $\"figure\"/$ \nकेंद्र पर बना कोण शेष परिधि पर बने कोण का दोगुना होता है।\n∠ACB =

\frac{1}{2}

× ∠AOB।\n=

\frac{100 °}{2}

।\n= 50° — विकल्प (c)।","pos":2,"neg":0.5},{"id":1273,"n":73,"subject":"Quantitative Aptitude","stem":"In a circle with centre O, two chords AB and CD cross each other at right angles at the point P. If the distance from the centre O to chord AB is 6 cm and the distance from O to chord CD is 8 cm, what is the length of OP?","stemHi":"केंद्र O वाले एक वृत्त में दो जीवाएँ AB और CD बिंदु P पर परस्पर समकोण पर काटती हैं। यदि केंद्र O से जीवा AB की दूरी 6 cm और O से जीवा CD की दूरी 8 cm है, तो OP की लंबाई क्या है?","context":null,"contextHi":null,"options":[{"key":"a","text":"11 cm","textHi":null,"imageUrl":null},{"key":"b","text":"7 cm","textHi":null,"imageUrl":null},{"key":"c","text":"9 cm","textHi":null,"imageUrl":null},{"key":"d","text":"10 cm","textHi":null,"imageUrl":null}],"correct":"d","sol":"Perpendicular chords — OP\n $\"figure\"/$ \nDrop perpendiculars OM and ON from O onto AB and CD. Since AB ⊥ CD, the figure OMPN is a rectangle.\nSo OM = NP = 6 cm and ON = MP = 8 cm, and OP is the diagonal of that rectangle.\nOP =

\sqrt{6² + 8²}

\sqrt{36 + 64}

\sqrt{100}

.\n= 10 cm — option (d).","solHi":" $\"figure\"/$ \nO से AB और CD पर लंब OM और ON डालिए। चूँकि AB ⊥ CD है, आकृति OMPN एक आयत बनती है।\nअतः OM = NP = 6 cm और ON = MP = 8 cm, तथा OP उसी आयत का विकर्ण है।\nOP =

\sqrt{6² + 8²}

\sqrt{36 + 64}

\sqrt{100}

।\n= 10 cm — विकल्प (d)।","pos":2,"neg":0.5},{"id":1274,"n":74,"subject":"Quantitative Aptitude","stem":"If the angle subtended by a chord at the centre is 120°, what is the angle subtended at a point on the circle in the same segment?","stemHi":"यदि कोई जीवा केंद्र पर 120° का कोण बनाती है, तो उसी वृत्तखंड में वृत्त पर स्थित बिंदु पर वह कितना कोण बनाएगी?","context":null,"contextHi":null,"options":[{"key":"a","text":"60°","textHi":null,"imageUrl":null},{"key":"b","text":"75°","textHi":null,"imageUrl":null},{"key":"c","text":"90°","textHi":null,"imageUrl":null},{"key":"d","text":"80°","textHi":null,"imageUrl":null}],"correct":"a","sol":"Angle at circumference\nAngle at the centre = 2 × angle at the circumference.\n120° = 2 × angle at the circumference.\nAngle =

\frac{120 °}{2}

.\n= 60° — option (a).","solHi":"केंद्र पर कोण = 2 × परिधि पर कोण।\n120° = 2 × परिधि पर कोण।\nकोण =

\frac{120 °}{2}

।\n= 60° — विकल्प (a)।","pos":2,"neg":0.5},{"id":1275,"n":75,"subject":"Quantitative Aptitude","stem":"In a triangle PQR the sides are p, q and r, and the area of the triangle is T. What is the radius of the inscribed circle (inradius)?","stemHi":"त्रिभुज PQR की भुजाएँ p, q और r हैं तथा उसका क्षेत्रफल T है। अंतःवृत्त की त्रिज्या (अंतःत्रिज्या) क्या होगी?","context":null,"contextHi":null,"options":[{"key":"a","text":"

\frac{T}{p + q + r}

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

\frac{2 T}{p + q + r}

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

\frac{p + q + r}{2 T}

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

\frac{T}{2 (p + q + r)}

","textHi":null,"imageUrl":null}],"correct":"b","sol":"$2b","solHi":" $\"figure\"/$ \nअंतःत्रिज्या के पदों में त्रिभुज का क्षेत्रफल: T = r × s, जहाँ s अर्ध-परिमाप है।\ns =

\frac{p + q + r}{2}

।\nअतः r =

\frac{T}{s}

= T ÷

\frac{p + q + r}{2}

।\n=

\frac{2 T}{p + q + r}

— विकल्प (b)।","pos":2,"neg":0.5},{"id":1276,"n":76,"subject":"English Comprehension","stem":"Select the most appropriate antonym of the given word.\nInnocuous","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"Harmless","textHi":null,"imageUrl":null},{"key":"b","text":"Pernicious","textHi":null,"imageUrl":null},{"key":"c","text":"Inoffensive","textHi":null,"imageUrl":null},{"key":"d","text":"Innocent","textHi":null,"imageUrl":null}],"correct":"b","sol":"Antonym — Innocuous\n'Innocuous' means not harmful or offensive.\n'Pernicious' means having a harmful effect, often gradually — the true opposite.\nHarmless, inoffensive and innocent are all synonyms of innocuous.\nHence option (b).","solHi":null,"pos":2,"neg":0.5},{"id":1277,"n":77,"subject":"English Comprehension","stem":"Select the correct indirect/direct form of the given sentence.\nHe stated that he was feeling much better that day.","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"He stated, "I had been feeling much better that day."","textHi":null,"imageUrl":null},{"key":"b","text":"He stated, "I was feeling much better that day."","textHi":null,"imageUrl":null},{"key":"c","text":"He stated, "He is feeling much better today."","textHi":null,"imageUrl":null},{"key":"d","text":"He stated, "I am feeling much better today."","textHi":null,"imageUrl":null}],"correct":"d","sol":"Indirect → direct\nReverse the backshift: reported "was feeling" comes from "am feeling".\n"That day" changes back to "today" and "he" to "I".\n(a) and (b) keep the past form; (c) keeps the wrong pronoun.\nHence option (d).","solHi":null,"pos":2,"neg":0.5},{"id":1278,"n":78,"subject":"English Comprehension","stem":"Choose the correct one-word substitute for the sentence below:\nA word or phrase used to avoid saying an unpleasant or offensive word.","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"Hyperbole","textHi":null,"imageUrl":null},{"key":"b","text":"Eulogy","textHi":null,"imageUrl":null},{"key":"c","text":"Epithet","textHi":null,"imageUrl":null},{"key":"d","text":"Euphemism","textHi":null,"imageUrl":null}],"correct":"d","sol":"One-word — Euphemism\nA 'euphemism' is a mild word used in place of a harsh or offensive one.\nHyperbole is deliberate exaggeration and a eulogy is a speech of high praise.\nAn epithet is a descriptive word attached to a name.\nHence option (d).","solHi":null,"pos":2,"neg":0.5},{"id":1279,"n":79,"subject":"English Comprehension","stem":"Sentences of a paragraph are given below in jumbled order. Arrange the sentences in the correct order to form a meaningful and coherent paragraph.\n1. Climate change poses a serious threat to global ecosystems and human livelihoods.\n2. Rising temperatures have led to melting glaciers and unpredictable weather patterns.\n3. These effects highlight the urgency of reducing carbon emissions worldwide.\n4. International cooperation is therefore vital to mitigate its long-term impact.","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"2-1-3-4","textHi":null,"imageUrl":null},{"key":"b","text":"1-2-3-4","textHi":null,"imageUrl":null},{"key":"c","text":"1-3-2-4","textHi":null,"imageUrl":null},{"key":"d","text":"3-1-2-4","textHi":null,"imageUrl":null}],"correct":"b","sol":"Para jumble — climate change\nSentence 1 states the main idea — climate change is a serious threat.\nSentence 2 describes its effects and sentence 3 ("These effects…") draws the urgency from them.\nSentence 4 ("therefore…") closes with the remedy.\nOrder 1-2-3-4 — option (b).","solHi":null,"pos":2,"neg":0.5},{"id":1280,"n":80,"subject":"English Comprehension","stem":"Select the most appropriate option to substitute the underline/Bold segment in the given sentence.\nEach of the candidates were asked to submit his document before noon.","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"was asked","textHi":null,"imageUrl":null},{"key":"b","text":"were being asked","textHi":null,"imageUrl":null},{"key":"c","text":"has asked","textHi":null,"imageUrl":null},{"key":"d","text":"are asked","textHi":null,"imageUrl":null}],"correct":"a","sol":"Each … was\n"Each" is always singular, no matter what follows it.\nSo the verb must be singular and in the passive past: was asked.\n"Were", "are" and the active "has asked" all break the agreement.\nHence option (a).","solHi":null,"pos":2,"neg":0.5},{"id":1281,"n":81,"subject":"English Comprehension","stem":"Choose the correct one-word substitute for:\n'A person who tends to see the worst aspect of things or expects negative outcomes.'","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"Optimist","textHi":null,"imageUrl":null},{"key":"b","text":"Determinist","textHi":null,"imageUrl":null},{"key":"c","text":"Pessimist","textHi":null,"imageUrl":null},{"key":"d","text":"Realist","textHi":null,"imageUrl":null}],"correct":"c","sol":"One-word — Pessimist\nA 'pessimist' expects the worst and dwells on the negative side.\nAn optimist is hopeful and confident about outcomes.\nA determinist believes events are fixed by prior causes, which is a different idea altogether.\nHence option (c).","solHi":null,"pos":2,"neg":0.5},{"id":1282,"n":82,"subject":"English Comprehension","stem":"Select the most appropriate option to fill in the blank.\nNo sooner had the referee blown the whistle ____ the match officials intervened.","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"when","textHi":null,"imageUrl":null},{"key":"b","text":"than","textHi":null,"imageUrl":null},{"key":"c","text":"then","textHi":null,"imageUrl":null},{"key":"d","text":"while","textHi":null,"imageUrl":null}],"correct":"b","sol":"No sooner … than\nThe fixed pairs are "no sooner … than" and "hardly/scarcely … when".\nSince the sentence begins with "No sooner had", it must take "than".\n"Then" is an adverb of time and cannot join the clauses here.\nHence option (b).","solHi":null,"pos":2,"neg":0.5},{"id":1283,"n":83,"subject":"English Comprehension","stem":"Select the most appropriate synonym of the given word: HARSHNESS","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"Kindness","textHi":null,"imageUrl":null},{"key":"b","text":"Asperity","textHi":null,"imageUrl":null},{"key":"c","text":"Softness","textHi":null,"imageUrl":null},{"key":"d","text":"Delight","textHi":null,"imageUrl":null}],"correct":"b","sol":"Synonym — Harshness\n'Harshness' means severity of manner or tone.\n'Asperity' means harshness of tone or temper — the closest synonym.\nKindness, softness and delight all mean the opposite.\nHence option (b).","solHi":null,"pos":2,"neg":0.5},{"id":1284,"n":84,"subject":"English Comprehension","stem":"Select the incorrect part in the following sentence.\nHe seldom if never agrees to attend public events without thorough preparation.","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"seldom","textHi":null,"imageUrl":null},{"key":"b","text":"never","textHi":null,"imageUrl":null},{"key":"c","text":"attend","textHi":null,"imageUrl":null},{"key":"d","text":"without","textHi":null,"imageUrl":null}],"correct":"b","sol":"seldom if ever\nThe set phrase is "seldom if EVER", meaning rarely.\n"Seldom if never" is a double negative and is not idiomatic.\nSo the faulty word is "never".\nHence option (b).","solHi":null,"pos":2,"neg":0.5},{"id":1285,"n":85,"subject":"English Comprehension","stem":"Fill in the blank with the correctly spelt word.\nHis claim that he could finish the work in one hour was completely ____.","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"prepostrous","textHi":null,"imageUrl":null},{"key":"b","text":"preposterous","textHi":null,"imageUrl":null},{"key":"c","text":"preposturous","textHi":null,"imageUrl":null},{"key":"d","text":"preposteruos","textHi":null,"imageUrl":null}],"correct":"b","sol":"Spelling — preposterous\n'Preposterous' — utterly absurd — is the correct spelling.\nIt is spelt pre-pos-ter-ous, with an e after the t.\n(a) drops that e, and (c) and (d) alter the ending.\nHence option (b).","solHi":null,"pos":2,"neg":0.5},{"id":1286,"n":86,"subject":"English Comprehension","stem":"Select the option that expresses the given sentence in the Active/Passive voice.\nThey must have submitted the final report before the deadline.","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"The final report must be submitted by them before the deadline.","textHi":null,"imageUrl":null},{"key":"b","text":"The final report must have been submitted by them before the deadline.","textHi":null,"imageUrl":null},{"key":"c","text":"The final report was submitted by them before the deadline.","textHi":null,"imageUrl":null},{"key":"d","text":"The final report had to be submitted by them before the deadline.","textHi":null,"imageUrl":null}],"correct":"b","sol":"Modal perfect passive\n"Must have submitted" is a modal perfect, so the passive is "must have been submitted".\nThe object becomes the subject and the doer follows with "by them".\n(a) drops the perfect, (c) changes it to simple past and (d) alters the modal.\nHence option (b).","solHi":null,"pos":2,"neg":0.5},{"id":1287,"n":87,"subject":"English Comprehension","stem":"Select the sentence containing the homonym of the highlighted word:\nAfter the long ceremony, the priest walked slowly through the monastery's ambulatory.","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"The museum guide explained the history of the stone ambulatory.","textHi":null,"imageUrl":null},{"key":"b","text":"The clinic opened a new ambulatory for post-surgery patients.","textHi":null,"imageUrl":null},{"key":"c","text":"Visitors admired the artwork lining the ambulatory of the basilica.","textHi":null,"imageUrl":null},{"key":"d","text":"The monks gathered silently in the vaulted ambulatory.","textHi":null,"imageUrl":null}],"correct":"b","sol":"Homonym — ambulatory\nIn the given sentence "ambulatory" means a covered walkway, especially around a church.\nOptions (a), (c) and (d) all use it in that architectural sense.\nIn (b) it names a hospital department for patients who do not stay overnight — a different meaning.\nHence option (b).","solHi":null,"pos":2,"neg":0.5},{"id":1288,"n":88,"subject":"English Comprehension","stem":"Select the most appropriate option to fill in the blank.\nWhile the students ____ on their research projects, the professor entered the lab.","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"worked","textHi":null,"imageUrl":null},{"key":"b","text":"were working","textHi":null,"imageUrl":null},{"key":"c","text":"has worked","textHi":null,"imageUrl":null},{"key":"d","text":"had been working","textHi":null,"imageUrl":null}],"correct":"b","sol":"Past continuous with while\n"While" introduces an action already in progress when another event happened.\nA past action in progress takes the past continuous: were working.\nThe professor entering is the shorter action in the simple past.\nHence option (b).","solHi":null,"pos":2,"neg":0.5},{"id":1289,"n":89,"subject":"English Comprehension","stem":"The following sentence has been divided into parts. One of them contains an error. Select the part that contains the error from the given options.\nThey are planning to build (1)/ a research centre near the river (2)/ where will scientists conduct (3)/ environmental studies in the coming years. (4)","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"(1)","textHi":null,"imageUrl":null},{"key":"b","text":"(2)","textHi":null,"imageUrl":null},{"key":"c","text":"(3)","textHi":null,"imageUrl":null},{"key":"d","text":"(4)","textHi":null,"imageUrl":null}],"correct":"c","sol":"Word order in a clause\nWhen a wh-word begins a relative clause, the clause keeps statement word order.\nSo the subject comes before the auxiliary and the main verb.\n"Where will scientists conduct" must become "where scientists will conduct".\nHence option (c).","solHi":null,"pos":2,"neg":0.5},{"id":1290,"n":90,"subject":"English Comprehension","stem":"Select the option that expresses the given sentence in the Active/Passive voice.\nThe documents were being verified by the legal department.","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"The legal department verifies the documents.","textHi":null,"imageUrl":null},{"key":"b","text":"The legal department was verifying the documents.","textHi":null,"imageUrl":null},{"key":"c","text":"The legal department has verified the documents.","textHi":null,"imageUrl":null},{"key":"d","text":"The legal department had verified the documents.","textHi":null,"imageUrl":null}],"correct":"b","sol":"Passive → active\n"Were being verified" is past continuous passive.\nIts active form keeps the same tense: was verifying.\n(a) is simple present, (c) present perfect and (d) past perfect.\nHence option (b).","solHi":null,"pos":2,"neg":0.5},{"id":1291,"n":91,"subject":"English Comprehension","stem":"Choose the correct meaning of the idiom:\nHe waited to know which way the wind blows before supporting the new policy.","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"Determine compass directions","textHi":null,"imageUrl":null},{"key":"b","text":"Predict literal weather","textHi":null,"imageUrl":null},{"key":"c","text":"Sense how events or opinion are trending before acting","textHi":null,"imageUrl":null},{"key":"d","text":"Forget instructions","textHi":null,"imageUrl":null}],"correct":"c","sol":"Idiom — which way the wind blows\n'To see which way the wind blows' means to find out how opinion or events are moving before committing oneself.\nHe waited to judge the mood before backing the policy.\nThe literal readings in (a) and (b) miss the figurative sense.\nHence option (c).","solHi":null,"pos":2,"neg":0.5},{"id":1292,"n":92,"subject":"English Comprehension","stem":"Choose the correct spelling.","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"Skeptick","textHi":null,"imageUrl":null},{"key":"b","text":"Sceptic","textHi":null,"imageUrl":null},{"key":"c","text":"Skeptic","textHi":null,"imageUrl":null},{"key":"d","text":"Skepticc","textHi":null,"imageUrl":null}],"correct":"c","sol":"Spelling — Skeptic\n'Skeptic' — one who doubts accepted opinions — is the correct spelling here.\nIt has a single c at the end and begins with sk-.\n(a) adds a k, (b) uses the older sc- form and (d) doubles the c.\nHence option (c).","solHi":null,"pos":2,"neg":0.5},{"id":1293,"n":93,"subject":"English Comprehension","stem":"Select the most appropriate option to substitute the underline/Bold segment in the given sentence.\nShe visits their grandparents in the countryside last month to help them with the harvest.","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"does not visit their grandparents","textHi":null,"imageUrl":null},{"key":"b","text":"visit her grandparents in the countryside","textHi":null,"imageUrl":null},{"key":"c","text":"visited her grandparents in the countryside","textHi":null,"imageUrl":null},{"key":"d","text":"used to visit her grandparents in the countryside","textHi":null,"imageUrl":null}],"correct":"c","sol":"Tense and pronoun\n"Last month" points to a finished past action, so the verb must be "visited".\nThe subject "she" needs the possessive "her", not "their".\nCorrect: ‘She visited her grandparents in the countryside last month.’\nHence option (c).","solHi":null,"pos":2,"neg":0.5},{"id":1294,"n":94,"subject":"English Comprehension","stem":"Select the correct indirect/direct form of the given sentence.\nMayank complained, "I have lost my favourite pen."","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"Mayank complained that I had lost my favourite pen.","textHi":null,"imageUrl":null},{"key":"b","text":"Mayank complained that he has lost his favourite pen.","textHi":null,"imageUrl":null},{"key":"c","text":"Mayank complained that he had lost his favourite pen.","textHi":null,"imageUrl":null},{"key":"d","text":"Mayank complained that he lost his favourite pen.","textHi":null,"imageUrl":null}],"correct":"c","sol":"Direct → indirect\nThe present perfect "have lost" backshifts to the past perfect "had lost".\n"I" becomes "he" and "my" becomes "his".\n(a) keeps "I", (b) keeps the present perfect and (d) drops it.\nHence option (c).","solHi":null,"pos":2,"neg":0.5},{"id":1295,"n":95,"subject":"English Comprehension","stem":"Sentences of a paragraph are given below in jumbled order. Arrange the sentences in the correct order to form a meaningful and coherent paragraph.\n1. Emotional intelligence enables individuals to manage their feelings and relationships effectively.\n2. It involves empathy, self-awareness and emotional regulation.\n3. Unlike academic intelligence, it focuses on understanding oneself and others.\n4. Hence, it plays a crucial role in leadership and teamwork.","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"2-3-1-4","textHi":null,"imageUrl":null},{"key":"b","text":"3-2-1-4","textHi":null,"imageUrl":null},{"key":"c","text":"1-2-3-4","textHi":null,"imageUrl":null},{"key":"d","text":"3-1-2-4\nCloze Test","textHi":null,"imageUrl":null}],"correct":"c","sol":"Para jumble — emotional intelligence\nSentence 1 defines emotional intelligence — the natural opener.\nSentence 2 lists what it involves and sentence 3 contrasts it with academic intelligence.\nSentence 4 ("Hence…") closes with its importance.\nOrder 1-2-3-4 — option (c).","solHi":null,"pos":2,"neg":0.5},{"id":1296,"n":96,"subject":"English Comprehension","stem":"Select the most appropriate option to fill in blank number (96).","stemHi":null,"context":"$2c","contextHi":null,"options":[{"key":"a","text":"extinguishes","textHi":null,"imageUrl":null},{"key":"b","text":"reifies","textHi":null,"imageUrl":null},{"key":"c","text":"evacuates","textHi":null,"imageUrl":null},{"key":"d","text":"dissimulates","textHi":null,"imageUrl":null}],"correct":"b","sol":"Cloze — reifies\nThe archive is said to preserve through containment and to do something through the act of naming.\n"Reifies" means to make something abstract appear concrete and fixed — exactly what naming does.\n"Extinguishes" and "evacuates" would mean the opposite of preserving.\nHence option (b).","solHi":null,"pos":2,"neg":0.5},{"id":1297,"n":97,"subject":"English Comprehension","stem":"Select the most appropriate option to fill in blank number (97).","stemHi":null,"context":"$2d","contextHi":null,"options":[{"key":"a","text":"conditionality","textHi":null,"imageUrl":null},{"key":"b","text":"aesthetic refusal","textHi":null,"imageUrl":null},{"key":"c","text":"algorithmic agency","textHi":null,"imageUrl":null},{"key":"d","text":"asymbolic opacity","textHi":null,"imageUrl":null}],"correct":"d","sol":"Cloze — asymbolic opacity\nResistance is located "in the refusal to be coherent and in the grammarless whisper".\nThat is a refusal to be read or symbolised — "asymbolic opacity".\n"Algorithmic agency" would place resistance inside the very system being resisted.\nHence option (d).","solHi":null,"pos":2,"neg":0.5},{"id":1298,"n":98,"subject":"English Comprehension","stem":"Select the most appropriate option to fill in blank number (98).","stemHi":null,"context":"$2e","contextHi":null,"options":[{"key":"a","text":"abolition","textHi":null,"imageUrl":null},{"key":"b","text":"restitution","textHi":null,"imageUrl":null},{"key":"c","text":"destitution","textHi":null,"imageUrl":null},{"key":"d","text":"reconciliation","textHi":null,"imageUrl":null}],"correct":"c","sol":"Cloze — destitution\nThe blank is explained by the dash that follows: "the unworking of systems and the destitution of legibility".\n"Destitution" here means stripping a system of its usefulness.\n"Restitution" and "reconciliation" are exactly what the sentence says is NOT sought.\nHence option (c).","solHi":null,"pos":2,"neg":0.5},{"id":1299,"n":99,"subject":"English Comprehension","stem":"Select the most appropriate option to fill in blank number (99).","stemHi":null,"context":"$2f","contextHi":null,"options":[{"key":"a","text":"indeterminate","textHi":null,"imageUrl":null},{"key":"b","text":"ungraspable","textHi":null,"imageUrl":null},{"key":"c","text":"perpetual","textHi":null,"imageUrl":null},{"key":"d","text":"transcendent","textHi":null,"imageUrl":null}],"correct":"a","sol":"Cloze — indeterminate\nThe blank sits in the series "____ , excessive and unlocatable".\nA justice that never arrives is one that is never fixed or defined — "indeterminate".\n"Perpetual" and "transcendent" do not carry that sense of being undefined.\nHence option (a).","solHi":null,"pos":2,"neg":0.5},{"id":1300,"n":100,"subject":"English Comprehension","stem":"Select the most appropriate option to fill in blank number (100).","stemHi":null,"context":"$30","contextHi":null,"options":[{"key":"a","text":"fugitive form","textHi":null,"imageUrl":null},{"key":"b","text":"spectral coherence","textHi":null,"imageUrl":null},{"key":"c","text":"passive unity","textHi":null,"imageUrl":null},{"key":"d","text":"ontic recurrence","textHi":null,"imageUrl":null}],"correct":"a","sol":"Cloze — fugitive form\nThe blank is defined by the phrase that follows: "a presence that eludes and persists".\nSomething present yet never caught is a "fugitive form".\n"Spectral coherence" and "passive unity" both suggest settledness, which the sentence denies.\nHence option (a).","solHi":null,"pos":2,"neg":0.5}],"test":{"slug":"ssc-cgl-tier-1--23-sep-2025-shift-1","title":"SSC CGL Tier-1 23 September 2025 Shift-1 Previous Year Paper","examName":"CGL Tier 1","paperLabel":"23 September 2025 · Shift 1","sectionSubject":null,"durationMinutes":60,"format":"full_test"}}]