28:I[81166,["/_next/static/immutable/chunks/2corl6wyj4669.js","/_next/static/immutable/chunks/38n271cv4vmyv.js","/_next/static/immutable/chunks/2pf73jja2520w.js"],"default"] 29:Tbba,Fraction simplification

\frac{4}{5}

\frac{2}{7}

\frac{4}{5}

\frac{7}{2}

\frac{14}{5}

; so the numerator =

\frac{4}{3}

\frac{14}{5}

\frac{20 + 42}{15}

\frac{62}{15}

\frac{7}{12}

\frac{3}{4}

\frac{7}{16}

; so the denominator =

\frac{3}{2}

−

\frac{7}{16}

\frac{24 - 7}{16}

\frac{17}{16}

. Divide:

\frac{62}{15}

\frac{16}{17}

. =

\frac{992}{255}

— option (a).2a:Tbba,

\frac{4}{5}

\frac{2}{7}

\frac{4}{5}

\frac{7}{2}

\frac{14}{5}

; अतः अंश =

\frac{4}{3}

\frac{14}{5}

\frac{20 + 42}{15}

\frac{62}{15}

।

\frac{7}{12}

\frac{3}{4}

\frac{7}{16}

; अतः हर =

\frac{3}{2}

−

\frac{7}{16}

\frac{24 - 7}{16}

\frac{17}{16}

। भाग:

\frac{62}{15}

\frac{16}{17}

। =

\frac{992}{255}

— विकल्प (a)।2b:T6ee,What is the overall average daily diesel usage for both cars?

Vehicle	Mon	Tue	Wed	Thu	Fri
Car 1	19	22	24	16	21
Car 2	15	28	23	20	29

2c:T759,दोनों कारों की कुल औसत दैनिक डीज़ल खपत क्या है?

वाहन	सोम	मंगल	बुध	गुरु	शुक्र
Car 1	19	22	24	16	21
Car 2	15	28	23	20	29

2d:T4d4,Segment — 60°

Sector =

\frac{60}{360}

× π × 4² =

\frac{8 π}{3}

. With a 60° central angle the triangle is equilateral of side 4: area =

\frac{\sqrt{3}}{4}

× 16 = 4

\sqrt{3}

. Segment = sector − triangle. =

\frac{8 π}{3}

− 4

\sqrt{3}

— option (a).2e:T579,

त्रिज्यखंड =

\frac{60}{360}

× π × 4² =

\frac{8 π}{3}

। 60° केंद्रीय कोण पर त्रिभुज समबाहु (भुजा 4) होता है: क्षेत्रफल =

\frac{\sqrt{3}}{4}

× 16 = 4

\sqrt{3}

। वृत्तखंड = त्रिज्यखंड − त्रिभुज। =

\frac{8 π}{3}

− 4

\sqrt{3}

— विकल्प (a)।2f:T73a,Directions (Qs. 90-94): Read the following passage carefully and answer the questions that follow. In the architecture of digital consciousness, where algorithms increasingly dictate perception, the boundary between autonomy and automation becomes perilously thin. Every scroll, click, or pause is parsed by unseen systems that learn, adapt, and anticipate — creating a feedback loop where human preference is both the input and the product. The illusion of choice, sustained by the abundance of content, often conceals a subtle curation of thought. Recommendation engines, cloaked in neutrality, are in fact value-laden mechanisms shaped by data hierarchies and corporate imperatives. What appears as personalization may instead be algorithmic determinism — a world where our desires are gently steered rather than freely formed. Moreover, the architecture of attention has been commodified; distraction is not a side effect but a business model. Cognitive overload diminishes reflection, while emotional triggers amplify engagement. In this ecosystem, outrage travels faster than nuance, and visibility becomes the currency of relevance. Even the language of digital ethics — transparency, accountability, inclusion — struggles to keep pace with the velocity of innovation. Artificial intelligence, though often portrayed as an impartial arbiter, inherits the biases of its creators and the data it consumes. It replicates not just human intelligence, but also human prejudice. Yet amid this algorithmic opacity lies a paradox of empowerment: never before has humanity possessed such access to knowledge and connectivity, yet never has it been more vulnerable to manipulation. The challenge is not to dismantle technology but to rehumanize it — to ensure that the circuitry of progress serves human discernment rather than diminishes it.30:T73a,Directions (Qs. 90-94): Read the following passage carefully and answer the questions that follow. In the architecture of digital consciousness, where algorithms increasingly dictate perception, the boundary between autonomy and automation becomes perilously thin. Every scroll, click, or pause is parsed by unseen systems that learn, adapt, and anticipate — creating a feedback loop where human preference is both the input and the product. The illusion of choice, sustained by the abundance of content, often conceals a subtle curation of thought. Recommendation engines, cloaked in neutrality, are in fact value-laden mechanisms shaped by data hierarchies and corporate imperatives. What appears as personalization may instead be algorithmic determinism — a world where our desires are gently steered rather than freely formed. Moreover, the architecture of attention has been commodified; distraction is not a side effect but a business model. Cognitive overload diminishes reflection, while emotional triggers amplify engagement. In this ecosystem, outrage travels faster than nuance, and visibility becomes the currency of relevance. Even the language of digital ethics — transparency, accountability, inclusion — struggles to keep pace with the velocity of innovation. Artificial intelligence, though often portrayed as an impartial arbiter, inherits the biases of its creators and the data it consumes. It replicates not just human intelligence, but also human prejudice. Yet amid this algorithmic opacity lies a paradox of empowerment: never before has humanity possessed such access to knowledge and connectivity, yet never has it been more vulnerable to manipulation. The challenge is not to dismantle technology but to rehumanize it — to ensure that the circuitry of progress serves human discernment rather than diminishes it.31:T73a,Directions (Qs. 90-94): Read the following passage carefully and answer the questions that follow. In the architecture of digital consciousness, where algorithms increasingly dictate perception, the boundary between autonomy and automation becomes perilously thin. Every scroll, click, or pause is parsed by unseen systems that learn, adapt, and anticipate — creating a feedback loop where human preference is both the input and the product. The illusion of choice, sustained by the abundance of content, often conceals a subtle curation of thought. Recommendation engines, cloaked in neutrality, are in fact value-laden mechanisms shaped by data hierarchies and corporate imperatives. What appears as personalization may instead be algorithmic determinism — a world where our desires are gently steered rather than freely formed. Moreover, the architecture of attention has been commodified; distraction is not a side effect but a business model. Cognitive overload diminishes reflection, while emotional triggers amplify engagement. In this ecosystem, outrage travels faster than nuance, and visibility becomes the currency of relevance. Even the language of digital ethics — transparency, accountability, inclusion — struggles to keep pace with the velocity of innovation. Artificial intelligence, though often portrayed as an impartial arbiter, inherits the biases of its creators and the data it consumes. It replicates not just human intelligence, but also human prejudice. Yet amid this algorithmic opacity lies a paradox of empowerment: never before has humanity possessed such access to knowledge and connectivity, yet never has it been more vulnerable to manipulation. The challenge is not to dismantle technology but to rehumanize it — to ensure that the circuitry of progress serves human discernment rather than diminishes it.32:T73a,Directions (Qs. 90-94): Read the following passage carefully and answer the questions that follow. In the architecture of digital consciousness, where algorithms increasingly dictate perception, the boundary between autonomy and automation becomes perilously thin. Every scroll, click, or pause is parsed by unseen systems that learn, adapt, and anticipate — creating a feedback loop where human preference is both the input and the product. The illusion of choice, sustained by the abundance of content, often conceals a subtle curation of thought. Recommendation engines, cloaked in neutrality, are in fact value-laden mechanisms shaped by data hierarchies and corporate imperatives. What appears as personalization may instead be algorithmic determinism — a world where our desires are gently steered rather than freely formed. Moreover, the architecture of attention has been commodified; distraction is not a side effect but a business model. Cognitive overload diminishes reflection, while emotional triggers amplify engagement. In this ecosystem, outrage travels faster than nuance, and visibility becomes the currency of relevance. Even the language of digital ethics — transparency, accountability, inclusion — struggles to keep pace with the velocity of innovation. Artificial intelligence, though often portrayed as an impartial arbiter, inherits the biases of its creators and the data it consumes. It replicates not just human intelligence, but also human prejudice. Yet amid this algorithmic opacity lies a paradox of empowerment: never before has humanity possessed such access to knowledge and connectivity, yet never has it been more vulnerable to manipulation. The challenge is not to dismantle technology but to rehumanize it — to ensure that the circuitry of progress serves human discernment rather than diminishes it.33:T73a,Directions (Qs. 90-94): Read the following passage carefully and answer the questions that follow. In the architecture of digital consciousness, where algorithms increasingly dictate perception, the boundary between autonomy and automation becomes perilously thin. Every scroll, click, or pause is parsed by unseen systems that learn, adapt, and anticipate — creating a feedback loop where human preference is both the input and the product. The illusion of choice, sustained by the abundance of content, often conceals a subtle curation of thought. Recommendation engines, cloaked in neutrality, are in fact value-laden mechanisms shaped by data hierarchies and corporate imperatives. What appears as personalization may instead be algorithmic determinism — a world where our desires are gently steered rather than freely formed. Moreover, the architecture of attention has been commodified; distraction is not a side effect but a business model. Cognitive overload diminishes reflection, while emotional triggers amplify engagement. In this ecosystem, outrage travels faster than nuance, and visibility becomes the currency of relevance. Even the language of digital ethics — transparency, accountability, inclusion — struggles to keep pace with the velocity of innovation. Artificial intelligence, though often portrayed as an impartial arbiter, inherits the biases of its creators and the data it consumes. It replicates not just human intelligence, but also human prejudice. Yet amid this algorithmic opacity lies a paradox of empowerment: never before has humanity possessed such access to knowledge and connectivity, yet never has it been more vulnerable to manipulation. The challenge is not to dismantle technology but to rehumanize it — to ensure that the circuitry of progress serves human discernment rather than diminishes it.1e:["$","$L28",null,{"mode":"practice","dropped":0,"bilingual":true,"choiceSubjects":[],"questions":[{"id":501,"n":1,"subject":"General Intelligence & Reasoning","stem":"Sentence: "Reflections are clearer in calm waters." If each letter is mirrored using alphabetical symmetry (A↔Z, B↔Y…), what is the 4th letter of the 3rd word after mirroring?","stemHi":"वाक्य: "Reflections are clearer in calm waters." यदि हर अक्षर को वर्णमाला-समरूपता (A↔Z, B↔Y…) से प्रतिबिंबित किया जाए, तो प्रतिबिंबन के बाद तीसरे शब्द का चौथा अक्षर क्या होगा?","context":null,"contextHi":null,"options":[{"key":"a","text":"c","textHi":null,"imageUrl":null},{"key":"b","text":"W","textHi":null,"imageUrl":null},{"key":"c","text":"x","textHi":null,"imageUrl":null},{"key":"d","text":"z","textHi":null,"imageUrl":null}],"correct":"d","sol":"Mirror letters (A↔Z)\n $\"figure\"/$ \nWords: Reflections(1), are(2), clearer(3), in(4), calm(5), waters(6).\nThe 3rd word is "clearer"; its 4th letter is a.\nMirroring: a ↔ z.\nHence z — option (d).","solHi":" $\"figure\"/$ \nशब्द: Reflections(1), are(2), clearer(3), in(4), calm(5), waters(6)।\nतीसरा शब्द "clearer" है; उसका चौथा अक्षर a है।\nप्रतिबिंबन: a ↔ z।\nअतः z — विकल्प (d)।","pos":2,"neg":0.5},{"id":502,"n":2,"subject":"General Intelligence & Reasoning","stem":"Choose the address that is exactly the same as the one given below.\nFlat 203, Sapphire building, Garia Station Rd., Kolkata, West Bengal - 600084","stemHi":"नीचे दिए गए पते के बिल्कुल समान पता चुनिए।\nFlat 203, Sapphire building, Garia Station Rd., Kolkata, West Bengal - 600084","context":null,"contextHi":null,"options":[{"key":"a","text":"Flat 203, Saphire building, Garia Station Rd., Kolkata, West Bengal - 600084","textHi":null,"imageUrl":null},{"key":"b","text":"Flat 203, Sapphire building, Garia Station Rd., Kolkata, West Bengal - 600084","textHi":null,"imageUrl":null},{"key":"c","text":"Flat 203, Sapphire building, Gariya Station Rd., Kolkata, West Bengal - 600084","textHi":null,"imageUrl":null},{"key":"d","text":"Flat 203, Sapphire building, Garia Station Road, Kolkata, West Bengal - 600084","textHi":null,"imageUrl":null}],"correct":"b","sol":"Address matching\n(a) misspells 'Saphire'; (c) writes 'Gariya' instead of 'Garia'.\n(d) writes 'Road' in full instead of 'Rd.'.\nOnly (b) matches every character of the given address.\nHence option (b).","solHi":"(a) में 'Saphire' गलत है; (c) में 'Gariya' लिखा है।\n(d) में 'Rd.' की जगह पूरा 'Road' है।\nकेवल (b) दिए गए पते से हर अक्षर में मेल खाता है।\nअतः विकल्प (b)।","pos":2,"neg":0.5},{"id":503,"n":3,"subject":"General Intelligence & Reasoning","stem":"Which of the following alternative will fill the blanks?\ns_u_sg_b_gu_","stemHi":"निम्न में से कौन-सा विकल्प रिक्त स्थान भरेगा?\ns_u_sg_b_gu_","context":null,"contextHi":null,"options":[{"key":"a","text":"g, b, u, s, b","textHi":null,"imageUrl":null},{"key":"b","text":"g, b, u, b, s","textHi":null,"imageUrl":null},{"key":"c","text":"b, u, u, b, s","textHi":null,"imageUrl":null},{"key":"d","text":"b, b, u, s, g","textHi":null,"imageUrl":null}],"correct":"a","sol":"Repeating block (sgub)\n $\"figure\"/$ \nThe 12 letters split into three blocks of four.\nFilling with g, b, u, s, b gives: sgub / sgub / sgub.\nEach block is the same group "sgub" ✓.\nHence option (a).","solHi":" $\"figure\"/$ \n12 अक्षर चार-चार के तीन खंडों में बँटते हैं।\ng, b, u, s, b भरने पर मिलता है: sgub / sgub / sgub।\nहर खंड वही समूह "sgub" है ✓।\nअतः विकल्प (a)।","pos":2,"neg":0.5},{"id":504,"n":4,"subject":"General Intelligence & Reasoning","stem":"Select the letter-cluster from among the given options that can replace the question mark (?) in the following series:\nTBDF, THMR, TNVD, TTEP, ?","stemHi":"दी गई शृंखला में प्रश्न चिह्न (?) के स्थान पर आने वाला अक्षर-समूह चुनिए:\nTBDF, THMR, TNVD, TTEP, ?","context":null,"contextHi":null,"options":[{"key":"a","text":"TZMB","textHi":null,"imageUrl":null},{"key":"b","text":"TZNC","textHi":null,"imageUrl":null},{"key":"c","text":"TZNB","textHi":null,"imageUrl":null},{"key":"d","text":"TYNB","textHi":null,"imageUrl":null}],"correct":"c","sol":"Letter series (+6, +9, +12)\n $\"figure\"/$ \nThe first letter T stays fixed.\n2nd letters: B, H, N, T → +6 each ⇒ next is Z.\n3rd letters: D, M, V, E → +9 each (cyclic) ⇒ next is N; 4th letters: F, R, D, P → +12 each ⇒ next is B.\nHence TZNB — option (c).","solHi":" $\"figure\"/$ \nपहला अक्षर T स्थिर रहता है।\nदूसरे अक्षर: B, H, N, T → हर बार +6 ⇒ अगला Z।\nतीसरे: D, M, V, E → +9 (चक्रीय) ⇒ अगला N; चौथे: F, R, D, P → +12 ⇒ अगला B।\nअतः TZNB — विकल्प (c)।","pos":2,"neg":0.5},{"id":505,"n":5,"subject":"General Intelligence & Reasoning","stem":"If 'A' denotes 'addition', 'C' denotes 'multiplication', 'B' denotes 'division', and 'D' denotes 'subtraction', then what will be the value of the following expression?\n3.2 A (0.56 B 1.4 C 4) D 4 C 5 B 20 A 5","stemHi":"यदि 'A' का अर्थ 'जोड़', 'C' का अर्थ 'गुणा', 'B' का अर्थ 'भाग' और 'D' का अर्थ 'घटाव' है, तो निम्न व्यंजक का मान क्या होगा?\n3.2 A (0.56 B 1.4 C 4) D 4 C 5 B 20 A 5","context":null,"contextHi":null,"options":[{"key":"a","text":"5.9","textHi":null,"imageUrl":null},{"key":"b","text":"8.8","textHi":null,"imageUrl":null},{"key":"c","text":"8.3","textHi":null,"imageUrl":null},{"key":"d","text":"7.8","textHi":null,"imageUrl":null}],"correct":"b","sol":"Coded operations\nReplace the letters: 3.2 + (0.56 ÷ 1.4 × 4) − 4 × 5 ÷ 20 + 5.\nBracket: 0.56 ÷ 1.4 = 0.4, then 0.4 × 4 = 1.6.\nNext: 4 × 5 ÷ 20 = 1.\n3.2 + 1.6 − 1 + 5 = 8.8 — option (b).","solHi":"अक्षर बदलिए: 3.2 + (0.56 ÷ 1.4 × 4) − 4 × 5 ÷ 20 + 5।\nकोष्ठक: 0.56 ÷ 1.4 = 0.4, फिर 0.4 × 4 = 1.6।\nआगे: 4 × 5 ÷ 20 = 1।\n3.2 + 1.6 − 1 + 5 = 8.8 — विकल्प (b)।","pos":2,"neg":0.5},{"id":506,"n":6,"subject":"General Intelligence & Reasoning","stem":"Find the odd one out:","stemHi":"असंगत चुनिए:","context":null,"contextHi":null,"options":[{"key":"a","text":"C@3C","textHi":null,"imageUrl":null},{"key":"b","text":"E@5E","textHi":null,"imageUrl":null},{"key":"c","text":"F@5F","textHi":null,"imageUrl":null},{"key":"d","text":"G@7G","textHi":null,"imageUrl":null}],"correct":"c","sol":"Letter–place value\n $\"figure\"/$ \nPattern: letter @ its place value @ the same letter.\nC = 3 ✓, E = 5 ✓, G = 7 ✓.\nBut F is the 6th letter, not the 5th ✗.\nHence option (c).","solHi":" $\"figure\"/$ \nपैटर्न: अक्षर @ उसका स्थान-मान @ वही अक्षर।\nC = 3 ✓, E = 5 ✓, G = 7 ✓।\nपरंतु F छठा अक्षर है, पाँचवाँ नहीं ✗।\nअतः विकल्प (c)।","pos":2,"neg":0.5},{"id":507,"n":7,"subject":"General Intelligence & Reasoning","stem":"What will come at the place of question mark?\n3, 7, 15, 31, 63, ?","stemHi":"प्रश्न चिह्न के स्थान पर क्या आएगा?\n3, 7, 15, 31, 63, ?","context":null,"contextHi":null,"options":[{"key":"a","text":"117","textHi":null,"imageUrl":null},{"key":"b","text":"127","textHi":null,"imageUrl":null},{"key":"c","text":"137","textHi":null,"imageUrl":null},{"key":"d","text":"107","textHi":null,"imageUrl":null}],"correct":"b","sol":"Series (×2 + 1)\n $\"figure\"/$ \nEach term = previous × 2 + 1.\n3×2+1 = 7, 7×2+1 = 15, 15×2+1 = 31, 31×2+1 = 63 ✓.\nNext: 63×2+1 = 126+1.\n= 127 — option (b).","solHi":" $\"figure\"/$ \nहर पद = पिछला × 2 + 1।\n3×2+1 = 7, 7×2+1 = 15, 15×2+1 = 31, 31×2+1 = 63 ✓।\nअगला: 63×2+1 = 126+1।\n= 127 — विकल्प (b)।","pos":2,"neg":0.5},{"id":508,"n":8,"subject":"General Intelligence & Reasoning","stem":"Identify the assumptions that must hold for the statement to be valid, then choose the correct option.\nStatement: The use of electric vehicles (EVs) in cities can significantly reduce air pollution and dependence on fossil fuels.\nAssumptions:\nI. Electric vehicles produce less pollution compared to petrol or diesel vehicles.\nII. A major part of urban air pollution is caused by conventional fuel-based vehicles.\nIII. The production of electricity for EVs does not involve any pollution.","stemHi":"कथन को वैध बनाने हेतु आवश्यक पूर्वधारणाओं की पहचान कर सही विकल्प चुनिए।\nकथन: शहरों में विद्युत वाहनों (EVs) का उपयोग वायु प्रदूषण और जीवाश्म ईंधन पर निर्भरता को उल्लेखनीय रूप से घटा सकता है।\nपूर्वधारणाएँ:\nI. विद्युत वाहन पेट्रोल/डीज़ल वाहनों की तुलना में कम प्रदूषण करते हैं।\nII. शहरी वायु प्रदूषण का बड़ा हिस्सा पारंपरिक ईंधन वाले वाहनों से होता है।\nIII. EVs के लिए बिजली उत्पादन में कोई प्रदूषण नहीं होता।","context":null,"contextHi":null,"options":[{"key":"a","text":"Only I and II are implicit","textHi":"केवल I और II अंतर्निहित हैं","imageUrl":null},{"key":"b","text":"Only II and III are implicit","textHi":"केवल II और III अंतर्निहित हैं","imageUrl":null},{"key":"c","text":"Only I is Implicit","textHi":"केवल I अंतर्निहित है","imageUrl":null},{"key":"d","text":"All I, II and III are implicit","textHi":"I, II और III सभी अंतर्निहित हैं","imageUrl":null}],"correct":"a","sol":"Statement — assumptions\nEVs can cut pollution only if they pollute LESS than petrol/diesel vehicles — I is implicit.\nThe cut will be significant only if vehicles are a major source of urban pollution — II is implicit.\nIII is not assumed: electricity generation may itself pollute; the statement never denies that.\nHence Only I and II — option (a).","solHi":"EVs तभी प्रदूषण घटाएँगे जब वे पेट्रोल/डीज़ल वाहनों से कम प्रदूषण करें — I अंतर्निहित।\nकटौती तभी उल्लेखनीय होगी जब वाहन शहरी प्रदूषण का बड़ा स्रोत हों — II अंतर्निहित।\nIII नहीं मानी गई: बिजली उत्पादन स्वयं प्रदूषण कर सकता है; कथन इसका खंडन नहीं करता।\nअतः केवल I और II — विकल्प (a)।","pos":2,"neg":0.5},{"id":509,"n":9,"subject":"General Intelligence & Reasoning","stem":"Read the following statement carefully and identify the conclusion that follows.\nStatement: The city recorded its highest rainfall in the last 30 years.\nConclusions:\nI. The city’s drainage system might have failed.\nII. Such heavy rainfall happens regularly.","stemHi":"निम्न कथन को ध्यानपूर्वक पढ़कर अनुसरण करने वाला निष्कर्ष पहचानिए।\nकथन: शहर ने पिछले 30 वर्षों की सर्वाधिक वर्षा दर्ज की।\nनिष्कर्ष:\nI. शहर की जल-निकासी प्रणाली विफल हो सकती है।\nII. ऐसी भारी वर्षा नियमित रूप से होती है।","context":null,"contextHi":null,"options":[{"key":"a","text":"Only Conclusion I follows","textHi":"केवल निष्कर्ष I अनुसरण करता है","imageUrl":null},{"key":"b","text":"Only Conclusion II follows","textHi":"केवल निष्कर्ष II अनुसरण करता है","imageUrl":null},{"key":"c","text":"Both 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":"Statement — conclusions\nRecord rainfall makes drainage failure a reasonable possibility — the word 'might' keeps I safe, so I follows.\nBeing the highest in 30 years means such rain is RARE, not regular — II is contradicted.\nSo only the first conclusion holds.\nHence option (a).","solHi":"रिकॉर्ड वर्षा से जल-निकासी विफल होना उचित संभावना है — 'हो सकती है' शब्द से I सुरक्षित है, अतः I अनुसरण करता है।\n30 वर्षों में सर्वाधिक होने का अर्थ है ऐसी वर्षा दुर्लभ है, नियमित नहीं — II का खंडन होता है।\nअतः केवल पहला निष्कर्ष टिकता है।\nअतः विकल्प (a)।","pos":2,"neg":0.5},{"id":510,"n":10,"subject":"General Intelligence & Reasoning","stem":"How many meaningful four-letter English words can be formed using the first, third, fifth and sixth letters of the word "PLANET" (when counted from left to right), using each letter only once in each word?","stemHi":"शब्द "PLANET" के पहले, तीसरे, पाँचवें और छठे अक्षरों (बाएँ से दाएँ) से, प्रत्येक अक्षर का एक बार प्रयोग करते हुए, कितने सार्थक चार-अक्षरी अंग्रेजी शब्द बन सकते हैं?","context":null,"contextHi":null,"options":[{"key":"a","text":"One","textHi":"एक","imageUrl":null},{"key":"b","text":"Two","textHi":"दो","imageUrl":null},{"key":"c","text":"Three","textHi":"तीन","imageUrl":null},{"key":"d","text":"Four","textHi":"चार","imageUrl":null}],"correct":"a","sol":"Word formation — PEAT\nPLANET: P(1) L(2) A(3) N(4) E(5) T(6).\nRequired letters: P, A, E, T.\nThe only meaningful word from all four is PEAT (a kind of soil fuel).\nOne word — option (a).","solHi":"PLANET: P(1) L(2) A(3) N(4) E(5) T(6)।\nआवश्यक अक्षर: P, A, E, T।\nचारों से बनने वाला एकमात्र सार्थक शब्द PEAT है।\nएक शब्द — विकल्प (a)।","pos":2,"neg":0.5},{"id":511,"n":11,"subject":"General Intelligence & Reasoning","stem":"In the following question, a pair of letters is given, followed by its corresponding product of alphabetical positions (A=1, B=2, …, Z=26). A second pair of letters is given without its product. Identify the correct product for the second pair that maintains the same relationship as the first.\nM × O : 13 × 15 :: G × I : ?","stemHi":"नीचे अक्षरों का एक युग्म उसके वर्णमाला-स्थानों के गुणनफल (A=1, B=2, …, Z=26) सहित दिया गया है। दूसरे युग्म के लिए वही संबंध बनाए रखने वाला सही गुणनफल पहचानिए।\nM × O : 13 × 15 :: G × I : ?","context":null,"contextHi":null,"options":[{"key":"a","text":"7 × 9","textHi":null,"imageUrl":null},{"key":"b","text":"5 × 9","textHi":null,"imageUrl":null},{"key":"c","text":"6 × 10","textHi":null,"imageUrl":null},{"key":"d","text":"7 × 8","textHi":null,"imageUrl":null}],"correct":"a","sol":"Place-value products\n $\"figure\"/$ \nEach letter is replaced by its alphabetical place value.\nM = 13 and O = 15 ✓.\nG is the 7th letter and I the 9th.\nSo G × I = 7 × 9 — option (a).","solHi":" $\"figure\"/$ \nहर अक्षर उसके वर्णमाला-स्थान से बदला जाता है।\nM = 13 और O = 15 ✓।\nG सातवाँ और I नौवाँ अक्षर है।\nअतः G × I = 7 × 9 — विकल्प (a)।","pos":2,"neg":0.5},{"id":512,"n":12,"subject":"General Intelligence & Reasoning","stem":"Complete the series.\nA1, Z2, Y3, X4, ?","stemHi":"शृंखला पूरी कीजिए।\nA1, Z2, Y3, X4, ?","context":null,"contextHi":null,"options":[{"key":"a","text":"W5","textHi":null,"imageUrl":null},{"key":"b","text":"V4","textHi":null,"imageUrl":null},{"key":"c","text":"U5","textHi":null,"imageUrl":null},{"key":"d","text":"X5","textHi":null,"imageUrl":null}],"correct":"a","sol":"Series — letters back, numbers up\n $\"figure\"/$ \nAfter the opening A, the letters run backwards: Z, Y, X, …\nThe next letter is W.\nThe numbers simply count 1, 2, 3, 4 → 5.\nHence W5 — option (a).","solHi":" $\"figure\"/$ \nशुरुआती A के बाद अक्षर उल्टे क्रम में चलते हैं: Z, Y, X, …\nअगला अक्षर W है।\nसंख्याएँ 1, 2, 3, 4 → 5 चलती हैं।\nअतः W5 — विकल्प (a)।","pos":2,"neg":0.5},{"id":513,"n":13,"subject":"General Intelligence & Reasoning","stem":"Find the odd one out from the given alternatives:","stemHi":"दिए गए विकल्पों में से असंगत चुनिए:","context":null,"contextHi":null,"options":[{"key":"a","text":"Article 15","textHi":"अनुच्छेद 15","imageUrl":null},{"key":"b","text":"Article 16","textHi":"अनुच्छेद 16","imageUrl":null},{"key":"c","text":"Article 18","textHi":"अनुच्छेद 18","imageUrl":null},{"key":"d","text":"Article 352","textHi":"अनुच्छेद 352","imageUrl":null}],"correct":"d","sol":"Fundamental Rights articles\nArticles 15, 16 and 18 all fall under Fundamental Rights (Right to Equality).\nArticle 352 deals with the National Emergency — an emergency provision.\nIt belongs to a different part of the Constitution.\nHence option (d).","solHi":"अनुच्छेद 15, 16 और 18 तीनों मूल अधिकारों (समानता का अधिकार) के अंतर्गत आते हैं।\nअनुच्छेद 352 राष्ट्रीय आपात से संबंधित है — आपातकालीन उपबंध।\nयह संविधान के भिन्न भाग का है।\nअतः विकल्प (d)।","pos":2,"neg":0.5},{"id":514,"n":14,"subject":"General Intelligence & Reasoning","stem":"P is the daughter of Q. Q is the son of R. S is the wife of R. How is S related to P?","stemHi":"P, Q की पुत्री है। Q, R का पुत्र है। S, R की पत्नी है। S का P से क्या संबंध है?","context":null,"contextHi":null,"options":[{"key":"a","text":"Aunt","textHi":"चाची/मौसी","imageUrl":null},{"key":"b","text":"Mother","textHi":"माता","imageUrl":null},{"key":"c","text":"Grandmother","textHi":"दादी","imageUrl":null},{"key":"d","text":"Sister","textHi":"बहन","imageUrl":null}],"correct":"c","sol":"Blood relation\n $\"figure\"/$ \nQ is the son of R and S, so R and S are Q’s parents.\nP is Q’s daughter, so P belongs to the next generation.\nS is therefore P’s grandmother.\nHence option (c).","solHi":" $\"figure\"/$ \nQ, R और S का पुत्र है, अतः R और S, Q के माता-पिता हैं।\nP, Q की पुत्री है, अर्थात अगली पीढ़ी की।\nअतः S, P की दादी है।\nअतः विकल्प (c)।","pos":2,"neg":0.5},{"id":515,"n":15,"subject":"General Intelligence & Reasoning","stem":"If 4 + 5 = 29 and 3 + 6 = 27, what is 1 + 6 = ?","stemHi":"यदि 4 + 5 = 29 और 3 + 6 = 27 है, तो 1 + 6 = ?","context":null,"contextHi":null,"options":[{"key":"a","text":"14","textHi":null,"imageUrl":null},{"key":"b","text":"13","textHi":null,"imageUrl":null},{"key":"c","text":"10","textHi":null,"imageUrl":null},{"key":"d","text":"12","textHi":null,"imageUrl":null}],"correct":"b","sol":"Number puzzle (ab + a + b)\n $\"figure\"/$ \nRule: (first × second) + (first + second).\nCheck: (4×5) + (4+5) = 20 + 9 = 29 ✓; (3×6) + (3+6) = 18 + 9 = 27 ✓.\nApply: (1×6) + (1+6) = 6 + 7.\n= 13 — option (b).","solHi":" $\"figure\"/$ \nनियम: (पहली × दूसरी) + (पहली + दूसरी)।\nजाँच: (4×5) + (4+5) = 20 + 9 = 29 ✓; (3×6) + (3+6) = 18 + 9 = 27 ✓।\nलागू: (1×6) + (1+6) = 6 + 7।\n= 13 — विकल्प (b)।","pos":2,"neg":0.5},{"id":516,"n":16,"subject":"General Intelligence & Reasoning","stem":"In a certain code language, each letter is assigned a unique digit. Based on the given codes for specific words, determine the code for the target word using the same logic.\nIf TQFFE is coded as 83551 and DPPM is coded as 9226, then how will TDPPQ be coded?","stemHi":"एक कूट भाषा में हर अक्षर को एक विशिष्ट अंक दिया गया है। दिए गए कूटों के आधार पर लक्ष्य शब्द का कूट ज्ञात कीजिए।\nयदि TQFFE का कूट 83551 और DPPM का कूट 9226 है, तो TDPPQ का कूट क्या होगा?","context":null,"contextHi":null,"options":[{"key":"a","text":"89231","textHi":null,"imageUrl":null},{"key":"b","text":"89726","textHi":null,"imageUrl":null},{"key":"c","text":"89223","textHi":null,"imageUrl":null},{"key":"d","text":"83927","textHi":null,"imageUrl":null}],"correct":"c","sol":"Letter–digit code\n $\"figure\"/$ \nFrom TQFFE = 83551: T = 8, Q = 3, F = 5, E = 1.\nFrom DPPM = 9226: D = 9, P = 2, M = 6.\nTDPPQ = 8, 9, 2, 2, 3.\n= 89223 — option (c).","solHi":" $\"figure\"/$ \nTQFFE = 83551 से: T = 8, Q = 3, F = 5, E = 1।\nDPPM = 9226 से: D = 9, P = 2, M = 6।\nTDPPQ = 8, 9, 2, 2, 3।\n= 89223 — विकल्प (c)।","pos":2,"neg":0.5},{"id":517,"n":17,"subject":"General Intelligence & Reasoning","stem":"If 5 ∗ 3 = 34 and 6 ∗ 4 = 52, what is 7 ∗ 2?","stemHi":"यदि 5 ∗ 3 = 34 और 6 ∗ 4 = 52 है, तो 7 ∗ 2 क्या है?","context":null,"contextHi":null,"options":[{"key":"a","text":"58","textHi":null,"imageUrl":null},{"key":"b","text":"45","textHi":null,"imageUrl":null},{"key":"c","text":"53","textHi":null,"imageUrl":null},{"key":"d","text":"50","textHi":null,"imageUrl":null}],"correct":"c","sol":"Number puzzle (a² + b²)\n $\"figure\"/$ \nRule: a ∗ b = a² + b².\nCheck: 5² + 3² = 25 + 9 = 34 ✓; 6² + 4² = 36 + 16 = 52 ✓.\n7 ∗ 2 = 49 + 4.\n= 53 — option (c).","solHi":" $\"figure\"/$ \nनियम: a ∗ b = a² + b²।\nजाँच: 5² + 3² = 25 + 9 = 34 ✓; 6² + 4² = 36 + 16 = 52 ✓।\n7 ∗ 2 = 49 + 4।\n= 53 — विकल्प (c)।","pos":2,"neg":0.5},{"id":518,"n":18,"subject":"General Intelligence & Reasoning","stem":"If 'READ' is coded as T2#3, and 'DEAR' is coded as 32#T, then what is the code for 'DARE'?","stemHi":"यदि 'READ' का कूट T2#3 और 'DEAR' का कूट 32#T है, तो 'DARE' का कूट क्या होगा?","context":null,"contextHi":null,"options":[{"key":"a","text":"3#T2","textHi":null,"imageUrl":null},{"key":"b","text":"T#23","textHi":null,"imageUrl":null},{"key":"c","text":"#32T","textHi":null,"imageUrl":null},{"key":"d","text":"#32Y","textHi":null,"imageUrl":null}],"correct":"a","sol":"Letter–symbol code\n $\"figure\"/$ \nFrom READ = T2#3: R = T, E = 2, A = #, D = 3.\nCheck with DEAR = 3 2 # T ✓ — the same mapping holds.\nDARE = D, A, R, E = 3, #, T, 2.\n= 3#T2 — option (a).","solHi":" $\"figure\"/$ \nREAD = T2#3 से: R = T, E = 2, A = #, D = 3।\nDEAR = 3 2 # T से जाँच ✓ — वही मैपिंग लागू है।\nDARE = D, A, R, E = 3, #, T, 2।\n= 3#T2 — विकल्प (a)।","pos":2,"neg":0.5},{"id":519,"n":19,"subject":"General Intelligence & Reasoning","stem":"What is the average of 5 consecutive odd numbers starting from 11?","stemHi":"11 से शुरू होने वाली 5 क्रमागत विषम संख्याओं का औसत क्या है?","context":null,"contextHi":null,"options":[{"key":"a","text":"17","textHi":null,"imageUrl":null},{"key":"b","text":"15","textHi":null,"imageUrl":null},{"key":"c","text":"20","textHi":null,"imageUrl":null},{"key":"d","text":"25","textHi":null,"imageUrl":null}],"correct":"b","sol":"Average of consecutive odds\nThe numbers are 11, 13, 15, 17, 19.\nFor evenly spaced numbers the average is the middle term.\nSum = 75, so average =

\frac{75}{5}

.\n= 15 — option (b).","solHi":"संख्याएँ हैं 11, 13, 15, 17, 19।\nसमान अंतराल वाली संख्याओं का औसत मध्य पद होता है।\nयोग = 75, अतः औसत =

\frac{75}{5}

।\n= 15 — विकल्प (b)।","pos":2,"neg":0.5},{"id":520,"n":20,"subject":"General Intelligence & Reasoning","stem":"If the given symbols mean:\n'+' means 'divided by', '−' means 'multiplied by', '×' means 'minus', '÷' means 'plus'\nThen, find the value of the following expression: 30×5÷32+16−2 = ?","stemHi":"यदि दिए गए प्रतीकों का अर्थ है:\n'+' का अर्थ 'भाग', '−' का अर्थ 'गुणा', '×' का अर्थ 'घटाव', '÷' का अर्थ 'जोड़'\nतो निम्न व्यंजक का मान ज्ञात कीजिए: 30×5÷32+16−2 = ?","context":null,"contextHi":null,"options":[{"key":"a","text":"59","textHi":null,"imageUrl":null},{"key":"b","text":"27","textHi":null,"imageUrl":null},{"key":"c","text":"29","textHi":null,"imageUrl":null},{"key":"d","text":"36","textHi":null,"imageUrl":null}],"correct":"c","sol":"Symbol substitution\nReplace the symbols: 30×5÷32+16−2 becomes 30 − 5 + 32 ÷ 16 × 2.\nBODMAS: 32 ÷ 16 = 2, then 2 × 2 = 4.\n30 − 5 + 4 = 29.\nHence option (c).","solHi":"प्रतीक बदलिए: 30×5÷32+16−2 बनता है 30 − 5 + 32 ÷ 16 × 2।\nBODMAS: 32 ÷ 16 = 2, फिर 2 × 2 = 4।\n30 − 5 + 4 = 29।\nअतः विकल्प (c)।","pos":2,"neg":0.5},{"id":521,"n":21,"subject":"General Intelligence & Reasoning","stem":"Pointing to a photograph, Ram says, "Siya is the daughter of the only son of my father's wife." Who is Siya to Ram?","stemHi":"एक फोटो की ओर इशारा करते हुए राम कहता है, "सिया मेरे पिता की पत्नी के इकलौते पुत्र की पुत्री है।" सिया राम की कौन है?","context":null,"contextHi":null,"options":[{"key":"a","text":"Sister","textHi":"बहन","imageUrl":null},{"key":"b","text":"Cousin","textHi":"चचेरी बहन","imageUrl":null},{"key":"c","text":"Niece","textHi":"भतीजी","imageUrl":null},{"key":"d","text":"Daughter","textHi":"पुत्री","imageUrl":null}],"correct":"d","sol":"Blood relation\n $\"figure\"/$ \nRam's father's wife is Ram's mother.\nHer ONLY son must be Ram himself.\nSo Siya is Ram’s own daughter.\nHence option (d).","solHi":" $\"figure\"/$ \nराम के पिता की पत्नी = राम की माता।\nउनका इकलौता पुत्र स्वयं राम ही है।\nअतः सिया राम की अपनी पुत्री है।\nअतः विकल्प (d)।","pos":2,"neg":0.5},{"id":522,"n":22,"subject":"General Intelligence & Reasoning","stem":"If '×' = '+', '+' = '−', '−' = '÷', '÷' = '×', which equation is correct?","stemHi":"यदि '×' = '+', '+' = '−', '−' = '÷', '÷' = '×' है, तो कौन-सा समीकरण सही है?","context":null,"contextHi":null,"options":[{"key":"a","text":"10+2×2−4=10","textHi":null,"imageUrl":null},{"key":"b","text":"32÷2−4+5=11","textHi":null,"imageUrl":null},{"key":"c","text":"12×2+4−1=27","textHi":null,"imageUrl":null},{"key":"d","text":"8+4−2×1=10","textHi":null,"imageUrl":null}],"correct":"b","sol":"Symbol substitution\nTest option (b): 32÷2−4+5 becomes 32 × 2 ÷ 4 − 5.\nBODMAS: 32 × 2 = 64, then 64 ÷ 4 = 16.\n16 − 5 = 11 = RHS ✓ (the other options do not balance).\nHence option (b).","solHi":"विकल्प (b) जाँचिए: 32÷2−4+5 बनता है 32 × 2 ÷ 4 − 5।\nBODMAS: 32 × 2 = 64, फिर 64 ÷ 4 = 16।\n16 − 5 = 11 = दायाँ पक्ष ✓ (शेष विकल्प संतुलित नहीं होते)।\nअतः विकल्प (b)।","pos":2,"neg":0.5},{"id":523,"n":23,"subject":"General Intelligence & Reasoning","stem":"Read the following statements and evaluate the conclusions based on traditional syllogistic logic. Consider the statements to be absolutely true, even if they appear contrary to known facts.\nStatements:\nAll apples are fruits.\nSome fruits are sweet.\nConclusions:\nI. Some apples are sweet.\nII. All sweet being fruits is a possibility.","stemHi":"निम्न कथनों को पढ़कर पारंपरिक न्याय-तर्क के आधार पर निष्कर्षों का मूल्यांकन कीजिए। कथनों को पूर्णतः सत्य मानिए, चाहे वे ज्ञात तथ्यों के विपरीत लगें।\nकथन:\nसभी सेब फल हैं।\nकुछ फल मीठे हैं।\nनिष्कर्ष:\nI. कुछ सेब मीठे हैं।\nII. सभी मीठों का फल होना एक संभावना है।","context":null,"contextHi":null,"options":[{"key":"a","text":"Only Conclusion II follows","textHi":"केवल निष्कर्ष II अनुसरण करता है","imageUrl":null},{"key":"b","text":"Both I and II follow","textHi":"I और II दोनों अनुसरण करते हैं","imageUrl":null},{"key":"c","text":"Only Conclusion I follows","textHi":"केवल निष्कर्ष I अनुसरण करता है","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 $\"figure\"/$ \nThe sweet fruits need not be the apple ones — they may be entirely different fruits, so I is NOT certain.\nNothing forbids every sweet thing from lying inside the circle of fruits, so that arrangement is possible — II follows as a possibility.\nPossibility conclusions hold whenever no statement rules them out.\nHence Only II — option (a).","solHi":" $\"figure\"/$ \nमीठे फल आवश्यक नहीं कि सेब वाले हों — वे बिल्कुल अलग फल हो सकते हैं, अतः I निश्चित नहीं।\nकोई कथन इस व्यवस्था को नहीं रोकता कि सभी मीठे फलों के भीतर हों, अतः यह संभव है — II संभावना के रूप में अनुसरण करता है।\nसंभावना वाले निष्कर्ष तब टिकते हैं जब कोई कथन उन्हें न रोके।\nअतः केवल II — विकल्प (a)।","pos":2,"neg":0.5},{"id":524,"n":24,"subject":"General Intelligence & Reasoning","stem":"If '+' means '×', '−' means '÷', '×' means '+', then 8 − 2 × 3 + 6 = ?","stemHi":"यदि '+' का अर्थ '×', '−' का अर्थ '÷', '×' का अर्थ '+' है, तो 8 − 2 × 3 + 6 = ?","context":null,"contextHi":null,"options":[{"key":"a","text":"12","textHi":null,"imageUrl":null},{"key":"b","text":"22","textHi":null,"imageUrl":null},{"key":"c","text":"15","textHi":null,"imageUrl":null},{"key":"d","text":"20","textHi":null,"imageUrl":null}],"correct":"b","sol":"Symbol substitution\nReplace the symbols: 8 − 2 × 3 + 6 becomes 8 ÷ 2 + 3 × 6.\nBODMAS: 8 ÷ 2 = 4 and 3 × 6 = 18.\n4 + 18 = 22.\nHence option (b).","solHi":"प्रतीक बदलिए: 8 − 2 × 3 + 6 बनता है 8 ÷ 2 + 3 × 6।\nBODMAS: 8 ÷ 2 = 4 और 3 × 6 = 18।\n4 + 18 = 22।\nअतः विकल्प (b)।","pos":2,"neg":0.5},{"id":525,"n":25,"subject":"General Intelligence & Reasoning","stem":"The ratio of two numbers is 4 : 5 and their sum is 270. Find the numbers.","stemHi":"दो संख्याओं का अनुपात 4 : 5 है और उनका योग 270 है। संख्याएँ ज्ञात कीजिए।","context":null,"contextHi":null,"options":[{"key":"a","text":"120 and 150","textHi":"120 और 150","imageUrl":null},{"key":"b","text":"72 and 108","textHi":"72 और 108","imageUrl":null},{"key":"c","text":"80 and 100","textHi":"80 और 100","imageUrl":null},{"key":"d","text":"64 and 116","textHi":"64 और 116","imageUrl":null}],"correct":"a","sol":"Ratio and sum\nLet the numbers be 4x and 5x.\n4x + 5x = 270 ⇒ 9x = 270 ⇒ x = 30.\nNumbers = 4(30) and 5(30).\n= 120 and 150 — option (a).","solHi":"संख्याएँ 4x और 5x लीजिए।\n4x + 5x = 270 ⇒ 9x = 270 ⇒ x = 30।\nसंख्याएँ = 4(30) और 5(30)।\n= 120 और 150 — विकल्प (a)।","pos":2,"neg":0.5},{"id":526,"n":26,"subject":"General Awareness","stem":"Which specific defensive feature was incorporated into the gates of Golconda Fort to safeguard it from assaults using war elephants?","stemHi":"युद्ध-हाथियों के हमलों से बचाव हेतु गोलकुंडा किले के द्वारों में कौन-सी विशेष रक्षात्मक व्यवस्था की गई थी?","context":null,"contextHi":null,"options":[{"key":"a","text":"Electrified spikes","textHi":"विद्युतीकृत कीलें","imageUrl":null},{"key":"b","text":"Deep moat with water channels","textHi":"जल-नालियों वाली गहरी खाई","imageUrl":null},{"key":"c","text":"Stone cannon towers","textHi":"पत्थर के तोप-बुर्ज","imageUrl":null},{"key":"d","text":"Steel spikes fixed on doors","textHi":"दरवाज़ों पर जड़ी इस्पात की कीलें","imageUrl":null}],"correct":"d","sol":"Golconda — spiked gates\nGolconda Fort (Hyderabad) has massive teak gates studded with large iron/steel spikes.\nElephants ramming such doors would be injured by the spikes, so the gate could not be broken.\nWinding approach paths further prevented elephants from charging straight.\nHence option (d).","solHi":"गोलकुंडा किले (हैदराबाद) के विशाल सागौन द्वारों पर बड़ी लोहे/इस्पात की कीलें जड़ी हैं।\nहाथी जब ऐसे दरवाज़े पर टक्कर मारते, तो कीलों से घायल हो जाते और द्वार नहीं टूटता।\nघुमावदार प्रवेश-मार्ग भी हाथियों को सीधी टक्कर से रोकते थे।\nअतः विकल्प (d)।","pos":2,"neg":0.5},{"id":527,"n":27,"subject":"General Awareness","stem":"Which of the following most accurately represents the central customs and symbolic meaning of the Fagli (Kus/Kuns) festival celebrated in Pattan Valley?","stemHi":"पट्टन घाटी में मनाए जाने वाले फागली (कुस/कुन्स) पर्व की मुख्य परंपराओं और प्रतीकात्मक अर्थ को निम्न में से कौन सबसे सही दर्शाता है?","context":null,"contextHi":null,"options":[{"key":"a","text":"Baraza, representing Shikhara-Appa, is crafted with marigold and turmeric and kept at village shrines.","textHi":"शिखर-अप्पा का प्रतीक बरज़ा, गेंदा और हल्दी से बनाकर ग्राम-देवालयों में रखा जाता है।","imageUrl":null},{"key":"b","text":"Punha signifies symbolic indoor ploughing with willow sticks, expressing agricultural hopes during snow.","textHi":"पुन्हा बर्फ़ के दौरान विलो की छड़ियों से घर के भीतर प्रतीकात्मक जुताई है, जो कृषि की आशा दर्शाती है।","imageUrl":null},{"key":"c","text":"Totu, a mixture of wheat and honey, is placed on rooftops as an offering to priests and later given to goats.","textHi":"टोटु, गेहूँ और शहद का मिश्रण, छत पर पुरोहितों को अर्पित कर बाद में बकरियों को दिया जाता है।","imageUrl":null},{"key":"d","text":"Kwari sweets are prepared by elderly women for temple offerings while men recite chants invoking crow spirits.","textHi":"क्वारी मिठाइयाँ वृद्ध महिलाएँ मंदिर-भोग हेतु बनाती हैं जबकि पुरुष कौआ-आत्माओं का आह्वान करते हैं।","imageUrl":null}],"correct":"b","sol":"Fagli — Punha ritual\nFagli (Kus/Kuns) is celebrated in the Pattan Valley of Himachal Pradesh as winter ends and the farming season begins.\nIts central ritual is PUNHA — villagers symbolically plough indoors with willow sticks while snow still covers the fields.\nThe act expresses hope for a good harvest in the coming season.\nHence option (b).","solHi":"फागली (कुस/कुन्स) हिमाचल प्रदेश की पट्टन घाटी में शीत ऋतु की समाप्ति और कृषि मौसम के आरंभ पर मनाया जाता है।\nइसका केंद्रीय अनुष्ठान पुन्हा है — ग्रामीण बर्फ़ के बीच घर के भीतर विलो की छड़ियों से प्रतीकात्मक जुताई करते हैं।\nयह आने वाली फसल की आशा व्यक्त करता है।\nअतः विकल्प (b)।","pos":2,"neg":0.5},{"id":528,"n":28,"subject":"General Awareness","stem":"Identify the correctly matched Gupta-period fiscal term with its corresponding meaning:","stemHi":"गुप्तकालीन राजस्व शब्द और उसके अर्थ का सही सुमेलित युग्म पहचानिए:","context":null,"contextHi":null,"options":[{"key":"a","text":"Hiranya - Compulsory labour service","textHi":"हिरण्य - अनिवार्य श्रम सेवा","imageUrl":null},{"key":"b","text":"Dhanya - Tax levied on gold","textHi":"धान्य - स्वर्ण पर कर","imageUrl":null},{"key":"c","text":"Bhoga - King's share of agricultural produce","textHi":"भोग - कृषि उपज में राजा का हिस्सा","imageUrl":null},{"key":"d","text":"Vaishthika - Forced or corvée labour","textHi":"वैष्टिक - बलात् श्रम (बेगार)","imageUrl":null}],"correct":"d","sol":"Gupta fiscal terms\nVaishthika (vishti) means forced or corvée labour — correctly matched.\nHiranya was the tax paid in GOLD/cash, and Dhanya the tax in GRAIN — options (a) and (b) reverse these.\nBhoga did mean the king’s share/dues, but the pair asked to be identified as correct here is Vaishthika.\nHence option (d).","solHi":"वैष्टिक (विष्टि) का अर्थ है बलात् या बेगार श्रम — सही सुमेलित।\nहिरण्य स्वर्ण/नकद में दिया कर था और धान्य अनाज में — विकल्प (a) और (b) इन्हें उलट देते हैं।\nभोग का अर्थ राजा का हिस्सा था, पर यहाँ सही युग्म वैष्टिक है।\nअतः विकल्प (d)।","pos":2,"neg":0.5},{"id":529,"n":29,"subject":"General Awareness","stem":"Which traditional musical instrument of Sikkim, believed to be the first created for the deity Tetlara Lahadongna, holds mythological significance in local folklore?","stemHi":"सिक्किम का कौन-सा पारंपरिक वाद्य, माना जाता है कि देवता तेतलारा लहादोंगना के लिए सबसे पहले बनाया गया, स्थानीय लोककथाओं में पौराणिक महत्त्व रखता है?","context":null,"contextHi":null,"options":[{"key":"a","text":"Simikla Koom (Binayo)","textHi":"सिमिकला कूम (बिनायो)","imageUrl":null},{"key":"b","text":"Yema Dhol","textHi":"येमा ढोल","imageUrl":null},{"key":"c","text":"Nagara of Yeba","textHi":"येबा का नगाड़ा","imageUrl":null},{"key":"d","text":"Niyara Hongsing Ke","textHi":"नियारा होंगसिंग के","imageUrl":null}],"correct":"a","sol":"Simikla Koom (Binayo)\nThe Simikla Koom, popularly called Binayo, is a bamboo mouth (jaw) harp of Sikkim and Nepal.\nFolklore holds that it was first made for the deity Tetlara Lahadongna.\nIt is played by plucking the bamboo tongue while holding it near the lips.\nHence option (a).","solHi":"सिमिकला कूम, जिसे बिनायो कहते हैं, सिक्किम और नेपाल का बाँस से बना मुख-वाद्य (jaw harp) है।\nलोककथा के अनुसार इसे सबसे पहले देवता तेतलारा लहादोंगना के लिए बनाया गया था।\nइसे होंठों के पास रखकर बाँस की जीभ छेड़कर बजाया जाता है।\nअतः विकल्प (a)।","pos":2,"neg":0.5},{"id":530,"n":30,"subject":"General Awareness","stem":"In which sport did Karnam Malleswari create history by becoming the first Indian woman to win an Olympic medal?","stemHi":"किस खेल में कर्णम मल्लेश्वरी ओलंपिक पदक जीतने वाली पहली भारतीय महिला बनकर इतिहास रचा?","context":null,"contextHi":null,"options":[{"key":"a","text":"Athletics","textHi":"एथलेटिक्स","imageUrl":null},{"key":"b","text":"Long Jump","textHi":"लंबी कूद","imageUrl":null},{"key":"c","text":"Boxing","textHi":"मुक्केबाज़ी","imageUrl":null},{"key":"d","text":"Weightlifting","textHi":"भारोत्तोलन","imageUrl":null}],"correct":"d","sol":"Karnam Malleswari\nKarnam Malleswari won bronze at the Sydney 2000 Olympics.\nIt came in WEIGHTLIFTING, in the women’s 69 kg category.\nShe thus became the first Indian woman to win an Olympic medal.\nHence option (d).","solHi":"कर्णम मल्लेश्वरी ने सिडनी 2000 ओलंपिक में कांस्य पदक जीता।\nयह भारोत्तोलन में महिलाओं की 69 किग्रा श्रेणी में मिला।\nइस प्रकार वे ओलंपिक पदक जीतने वाली पहली भारतीय महिला बनीं।\nअतः विकल्प (d)।","pos":2,"neg":0.5},{"id":531,"n":31,"subject":"General Awareness","stem":"Consider the following statements regarding medieval Indian rulers:\nStatement I: Qutbuddin Aibak ruled from 1206 to 1210 CE.\nStatement II: Alauddin Khalji ruled the Delhi Sultanate from 1296 to 1316 CE.\nStatement III: Prithviraj Chauhan ruled between 1175 and 1192 CE.\nStatement IV: Muhammad bin Tughluq ruled from 1324 to 1351 CE.\nWhich of the above statements are correct?","stemHi":"मध्यकालीन भारतीय शासकों के संबंध में निम्न कथनों पर विचार कीजिए:\nकथन I: कुतुबुद्दीन ऐबक ने 1206 से 1210 ई. तक शासन किया।\nकथन II: अलाउद्दीन खलजी ने 1296 से 1316 ई. तक दिल्ली सल्तनत पर शासन किया।\nकथन III: पृथ्वीराज चौहान ने 1175 से 1192 ई. तक शासन किया।\nकथन IV: मुहम्मद बिन तुगलक ने 1324 से 1351 ई. तक शासन किया।\nउपर्युक्त में से कौन-से कथन सही हैं?","context":null,"contextHi":null,"options":[{"key":"a","text":"Only I and II","textHi":"केवल I और II","imageUrl":null},{"key":"b","text":"Only II and III","textHi":"केवल II और III","imageUrl":null},{"key":"c","text":"I, II, III and IV","textHi":"I, II, III और IV","imageUrl":null},{"key":"d","text":"Neither I nor II","textHi":"न I न II","imageUrl":null}],"correct":"c","sol":"Medieval reign periods\nAibak founded the Slave dynasty and ruled 1206–1210 ✓; Alauddin Khalji ruled 1296–1316 ✓.\nPrithviraj Chauhan reigned 1175–1192 and lost the Second Battle of Tarain ✓.\nMuhammad bin Tughluq ruled 1324–1351 ✓.\nAll four are correct — option (c).","solHi":"ऐबक ने गुलाम वंश की नींव रखी और 1206–1210 तक शासन किया ✓; अलाउद्दीन खलजी ने 1296–1316 ✓।\nपृथ्वीराज चौहान ने 1175–1192 तक शासन किया और तराइन के दूसरे युद्ध में पराजित हुए ✓।\nमुहम्मद बिन तुगलक ने 1324–1351 तक शासन किया ✓।\nचारों सही हैं — विकल्प (c)।","pos":2,"neg":0.5},{"id":532,"n":32,"subject":"General Awareness","stem":"In the 1984 Los Angeles Olympics, Indian sprinter P. T. Usha missed securing a bronze medal in the 400 m hurdles final by how much margin of a second?","stemHi":"1984 लॉस एंजिल्स ओलंपिक में भारतीय धाविका पी.टी. उषा 400 मीटर बाधा दौड़ के फाइनल में कांस्य पदक कितने सेकंड के अंतर से चूक गईं?","context":null,"contextHi":null,"options":[{"key":"a","text":"One-tenth","textHi":"दसवाँ हिस्सा","imageUrl":null},{"key":"b","text":"One-hundredth","textHi":"सौवाँ हिस्सा","imageUrl":null},{"key":"c","text":"One-thousandth","textHi":"हज़ारवाँ हिस्सा","imageUrl":null},{"key":"d","text":"One-fiftieth","textHi":"पचासवाँ हिस्सा","imageUrl":null}],"correct":"b","sol":"P.T. Usha 1984\nP.T. Usha finished fourth in the 400 m hurdles final at Los Angeles 1984.\nShe missed bronze by 1/100th of a second — the closest such finish for India.\nHer timing was 55.42 s against the bronze medallist’s 55.41 s.\nHence option (b).","solHi":"पी.टी. उषा लॉस एंजिल्स 1984 के 400 मीटर बाधा फाइनल में चौथे स्थान पर रहीं।\nवे कांस्य से 1/100 सेकंड से चूकीं — भारत के लिए सबसे निकट का फ़ैसला।\nउनका समय 55.42 सेकंड बनाम कांस्य विजेता का 55.41 सेकंड था।\nअतः विकल्प (b)।","pos":2,"neg":0.5},{"id":533,"n":33,"subject":"General Awareness","stem":"Under India's presidency of BRICS in 2021, which of the following initiatives was introduced alongside the Digital Health Summit to promote environmental sustainability?","stemHi":"2021 में भारत की ब्रिक्स अध्यक्षता के दौरान डिजिटल हेल्थ समिट के साथ पर्यावरणीय संधारणीयता हेतु कौन-सी पहल शुरू की गई?","context":null,"contextHi":null,"options":[{"key":"a","text":"BRICS Water Security Pact","textHi":"ब्रिक्स जल सुरक्षा समझौता","imageUrl":null},{"key":"b","text":"BRICS Alliance for Green Tourism","textHi":"ब्रिक्स ग्रीन टूरिज़्म गठबंधन","imageUrl":null},{"key":"c","text":"BRICS Climate Finance Agreement","textHi":"ब्रिक्स जलवायु वित्त समझौता","imageUrl":null},{"key":"d","text":"BRICS Sustainable Energy Forum","textHi":"ब्रिक्स संधारणीय ऊर्जा मंच","imageUrl":null}],"correct":"b","sol":"BRICS 2021 — green tourism\nIndia chaired BRICS in 2021 with the theme of intra-BRICS cooperation for continuity and consensus.\nAmong its outcomes were the Digital Health Summit and the BRICS Alliance for Green Tourism.\nThe Alliance promotes environmentally sustainable tourism practices among member states.\nHence option (b).","solHi":"भारत ने 2021 में ब्रिक्स की अध्यक्षता की।\nइसके परिणामों में डिजिटल हेल्थ समिट और ब्रिक्स ग्रीन टूरिज़्म गठबंधन शामिल थे।\nयह गठबंधन सदस्य देशों में पर्यावरण-अनुकूल पर्यटन को बढ़ावा देता है।\nअतः विकल्प (b)।","pos":2,"neg":0.5},{"id":534,"n":34,"subject":"General Awareness","stem":"Identify the author of the book 'Indica: A Deep Natural History of the Indian Subcontinent', which explores India's geological and evolutionary past.","stemHi":"'इंडिका: ए डीप नेचुरल हिस्ट्री ऑफ द इंडियन सबकॉन्टिनेंट' पुस्तक के लेखक की पहचान कीजिए, जो भारत के भूवैज्ञानिक और विकासात्मक अतीत की पड़ताल करती है।","context":null,"contextHi":null,"options":[{"key":"a","text":"Rohan Murty","textHi":"रोहन मूर्ति","imageUrl":null},{"key":"b","text":"Tony Joseph","textHi":"टोनी जोसेफ","imageUrl":null},{"key":"c","text":"Pranay Lal","textHi":"प्रणय लाल","imageUrl":null},{"key":"d","text":"Sanjeev Sanyal","textHi":"संजीव सान्याल","imageUrl":null}],"correct":"c","sol":"'Indica' — Pranay Lal\n'Indica' (2016) is by biochemist and natural-history writer Pranay Lal.\nIt traces the subcontinent’s story from its geological birth to the rise of life.\nTony Joseph wrote 'Early Indians'; Sanjeev Sanyal writes on economic history and oceans.\nHence option (c).","solHi":"'इंडिका' (2016) जैव-रसायनज्ञ एवं प्रकृति-लेखक प्रणय लाल की कृति है।\nयह उपमहाद्वीप की कथा उसके भूवैज्ञानिक जन्म से लेकर जीवन के उदय तक बताती है।\nटोनी जोसेफ ने 'अर्ली इंडियंस' लिखी; संजीव सान्याल आर्थिक इतिहास और महासागरों पर लिखते हैं।\nअतः विकल्प (c)।","pos":2,"neg":0.5},{"id":535,"n":35,"subject":"General Awareness","stem":"Consider the following statements regarding the Men's Hockey competition at the 38th National Games 2025:\n1. Karnataka emerged champions after defeating Uttar Pradesh 3-2 in the final match.\n2. The semifinal clash between Karnataka and Maharashtra ended 2-2 and was decided by a shootout.\n3. Punjab secured the bronze medal with a 1-0 win over Maharashtra.\nWhich of the above statements is/are correct?","stemHi":"38वें राष्ट्रीय खेल 2025 की पुरुष हॉकी स्पर्धा के संबंध में निम्न कथनों पर विचार कीजिए:\n1. कर्नाटक ने फाइनल में उत्तर प्रदेश को 3-2 से हराकर खिताब जीता।\n2. कर्नाटक और महाराष्ट्र के बीच सेमीफाइनल 2-2 पर समाप्त हुआ और शूटआउट से निर्णय हुआ।\n3. पंजाब ने महाराष्ट्र को 1-0 से हराकर कांस्य पदक जीता।\nउपर्युक्त में से कौन-सा/से कथन सही है/हैं?","context":null,"contextHi":null,"options":[{"key":"a","text":"Only 1 and 2","textHi":"केवल 1 और 2","imageUrl":null},{"key":"b","text":"Only 1 and 3","textHi":"केवल 1 और 3","imageUrl":null},{"key":"c","text":"Only 2 and 3","textHi":"केवल 2 और 3","imageUrl":null},{"key":"d","text":"1, 2 and 3 all are correct","textHi":"1, 2 और 3 सभी सही हैं","imageUrl":null}],"correct":"a","sol":"38th National Games hockey\nAt the 38th National Games (Uttarakhand, 2025) Karnataka won men’s hockey gold, beating Uttar Pradesh 3-2 — Statement 1 correct.\nThe Karnataka–Maharashtra semifinal was level at 2-2 and settled by a shootout — Statement 2 correct.\nThe bronze went to MAHARASHTRA, who beat Punjab 1-0 — Statement 3 reverses the result.\nHence Only 1 and 2 — option (a).","solHi":"38वें राष्ट्रीय खेल (उत्तराखंड, 2025) में कर्नाटक ने उत्तर प्रदेश को 3-2 से हराकर पुरुष हॉकी स्वर्ण जीता — कथन 1 सही।\nकर्नाटक–महाराष्ट्र सेमीफाइनल 2-2 पर बराबर रहा और शूटआउट से तय हुआ — कथन 2 सही।\nकांस्य महाराष्ट्र ने जीता, जिसने पंजाब को 1-0 से हराया — कथन 3 परिणाम उलट देता है।\nअतः केवल 1 और 2 — विकल्प (a)।","pos":2,"neg":0.5},{"id":536,"n":36,"subject":"General Awareness","stem":"In May 2025, which initiative was unveiled by Dr. Jitendra Singh in his capacity as Minister of State for the PMO and Personnel?","stemHi":"मई 2025 में डॉ. जितेंद्र सिंह ने PMO एवं कार्मिक राज्य मंत्री के रूप में कौन-सी पहल का शुभारंभ किया?","context":null,"contextHi":null,"options":[{"key":"a","text":"e-Civil List 2025 e-book","textHi":"ई-सिविल लिस्ट 2025 ई-बुक","imageUrl":null},{"key":"b","text":"Digital Land Records Survey","textHi":"डिजिटल भूमि अभिलेख सर्वेक्षण","imageUrl":null},{"key":"c","text":"National Grievance Redress Portal","textHi":"राष्ट्रीय शिकायत निवारण पोर्टल","imageUrl":null},{"key":"d","text":"Central Police Commemoration Day","textHi":"केंद्रीय पुलिस स्मृति दिवस","imageUrl":null}],"correct":"a","sol":"e-Civil List 2025\nDr. Jitendra Singh released the e-Civil List 2025 e-book in May 2025.\nIt digitises the record of IAS officers — postings, cadre and service details — for easy access.\nThe step is part of the DoPT’s digital governance drive.\nHence option (a).","solHi":"डॉ. जितेंद्र सिंह ने मई 2025 में ई-सिविल लिस्ट 2025 ई-बुक जारी की।\nयह IAS अधिकारियों के अभिलेख — तैनाती, कैडर, सेवा विवरण — का डिजिटल रूप है।\nयह DoPT की डिजिटल शासन पहल का हिस्सा है।\nअतः विकल्प (a)।","pos":2,"neg":0.5},{"id":537,"n":37,"subject":"General Awareness","stem":"As per the 2011 Census, Uttar Pradesh contributed nearly what percentage to India's total population?","stemHi":"2011 की जनगणना के अनुसार उत्तर प्रदेश की भारत की कुल जनसंख्या में लगभग कितने प्रतिशत की हिस्सेदारी थी?","context":null,"contextHi":null,"options":[{"key":"a","text":"18%","textHi":null,"imageUrl":null},{"key":"b","text":"12%","textHi":null,"imageUrl":null},{"key":"c","text":"16%","textHi":null,"imageUrl":null},{"key":"d","text":"10%","textHi":null,"imageUrl":null}],"correct":"c","sol":"UP — 16% of population\nUttar Pradesh had about 19.98 crore people in 2011 against India’s 121 crore.\nThat is roughly 16% — the largest share of any state.\nMaharashtra came next with about 9%.\nHence option (c).","solHi":"2011 में उत्तर प्रदेश की जनसंख्या लगभग 19.98 करोड़ थी, जबकि भारत की 121 करोड़।\nयह लगभग 16% है — किसी भी राज्य का सबसे बड़ा हिस्सा।\nमहाराष्ट्र लगभग 9% के साथ दूसरे स्थान पर था।\nअतः विकल्प (c)।","pos":2,"neg":0.5},{"id":538,"n":38,"subject":"General Awareness","stem":"In the context of India's Gaganyaan mission, what is the full form of the abbreviation HLVM3?","stemHi":"भारत के गगनयान मिशन के संदर्भ में संक्षिप्ति HLVM3 का पूर्ण रूप क्या है?","context":null,"contextHi":null,"options":[{"key":"a","text":"High LVM3","textHi":"हाई LVM3","imageUrl":null},{"key":"b","text":"Human LVM3","textHi":"ह्यूमन LVM3","imageUrl":null},{"key":"c","text":"Heavy LVM3","textHi":"हेवी LVM3","imageUrl":null},{"key":"d","text":"Hybrid LVM3","textHi":"हाइब्रिड LVM3","imageUrl":null}],"correct":"b","sol":"HLVM3\nISRO renamed the LVM3 rocket configured for crewed flight as HLVM3.\nThe H stands for HUMAN-rated — the launcher is certified to carry astronauts.\nIt will lift the Gaganyaan orbital module with the Crew Escape System.\nHence option (b).","solHi":"ISRO ने मानव-उड़ान हेतु तैयार LVM3 रॉकेट को HLVM3 नाम दिया।\nH का अर्थ है Human-rated — यह अंतरिक्ष यात्रियों को ले जाने हेतु प्रमाणित है।\nयह क्रू एस्केप सिस्टम सहित गगनयान कक्षीय मॉड्यूल ले जाएगा।\nअतः विकल्प (b)।","pos":2,"neg":0.5},{"id":539,"n":39,"subject":"General Awareness","stem":"Which mineral, available in substantial reserves across India, serves as a key raw material for the country's industrial growth?","stemHi":"भारत में प्रचुर भंडार वाला कौन-सा खनिज देश के औद्योगिक विकास हेतु प्रमुख कच्चा माल है?","context":null,"contextHi":null,"options":[{"key":"a","text":"Petroleum","textHi":"पेट्रोलियम","imageUrl":null},{"key":"b","text":"Tin","textHi":"टिन","imageUrl":null},{"key":"c","text":"Iron ore","textHi":"लौह अयस्क","imageUrl":null},{"key":"d","text":"Copper","textHi":"ताँबा","imageUrl":null}],"correct":"c","sol":"Iron ore reserves\nIndia holds large, high-grade iron-ore reserves in Odisha, Jharkhand, Chhattisgarh and Karnataka.\nIt feeds the iron and steel industry — the backbone of industrial growth.\nPetroleum, tin and copper are all in short supply and largely imported.\nHence option (c).","solHi":"भारत में ओडिशा, झारखंड, छत्तीसगढ़ और कर्नाटक में बड़े, उच्च-श्रेणी के लौह-अयस्क भंडार हैं।\nयह लोहा-इस्पात उद्योग को कच्चा माल देता है — औद्योगिक विकास की रीढ़।\nपेट्रोलियम, टिन और ताँबा तीनों कम हैं और मुख्यतः आयात होते हैं।\nअतः विकल्प (c)।","pos":2,"neg":0.5},{"id":540,"n":40,"subject":"General Awareness","stem":"Evaluate the following statements concerning constitutional roles in India:\n1. The Prime Minister and the Chief Minister can each recommend the dissolution of their respective Lower Houses.\n2. The recommendation for President's Rule under Article 356 can only be made by the Prime Minister.\nWhich of the above statements is/are correct?","stemHi":"भारत में संवैधानिक भूमिकाओं से संबंधित निम्न कथनों का मूल्यांकन कीजिए:\n1. प्रधानमंत्री और मुख्यमंत्री अपने-अपने निचले सदन के विघटन की सिफ़ारिश कर सकते हैं।\n2. अनुच्छेद 356 के अंतर्गत राष्ट्रपति शासन की सिफ़ारिश केवल प्रधानमंत्री ही कर सकता है।\nउपर्युक्त में से कौन-सा/से कथन सही है/हैं?","context":null,"contextHi":null,"options":[{"key":"a","text":"Only 1","textHi":"केवल 1","imageUrl":null},{"key":"b","text":"Only 2","textHi":"केवल 2","imageUrl":null},{"key":"c","text":"Both 1 and 2","textHi":"1 और 2 दोनों","imageUrl":null},{"key":"d","text":"Neither 1 nor 2","textHi":"न 1 न 2","imageUrl":null}],"correct":"a","sol":"Dissolution & Article 356\nThe PM may advise the President to dissolve the Lok Sabha, and the CM may advise the Governor to dissolve the Assembly — Statement 1 correct.\nPresident’s Rule normally follows a report from the GOVERNOR of the state (Article 356) — Statement 2 wrong.\nThe Union Cabinet then advises the President.\nHence Only 1 — option (a).","solHi":"प्रधानमंत्री राष्ट्रपति को लोक सभा भंग करने और मुख्यमंत्री राज्यपाल को विधान सभा भंग करने की सलाह दे सकते हैं — कथन 1 सही।\nराष्ट्रपति शासन सामान्यतः राज्य के राज्यपाल के प्रतिवेदन पर लगता है (अनुच्छेद 356) — कथन 2 गलत।\nफिर केंद्रीय मंत्रिमंडल राष्ट्रपति को सलाह देता है।\nअतः केवल 1 — विकल्प (a)।","pos":2,"neg":0.5},{"id":541,"n":41,"subject":"General Awareness","stem":"Identify the correctly matched pair from the following nutrient types and examples:","stemHi":"निम्न पोषक-प्रकारों और उदाहरणों में से सही सुमेलित युग्म पहचानिए:","context":null,"contextHi":null,"options":[{"key":"a","text":"Macronutrient - Zinc","textHi":"वृहत् पोषक - जिंक","imageUrl":null},{"key":"b","text":"Micronutrient - Boron","textHi":"सूक्ष्म पोषक - बोरॉन","imageUrl":null},{"key":"c","text":"Micronutrient - Calcium","textHi":"सूक्ष्म पोषक - कैल्शियम","imageUrl":null},{"key":"d","text":"Macronutrient - Iron","textHi":"वृहत् पोषक - आयरन","imageUrl":null}],"correct":"b","sol":"Micronutrient — Boron\nPlants need macronutrients (N, P, K, Ca, Mg, S) in large amounts.\nMicronutrients — boron, zinc, iron, manganese, copper, molybdenum, chlorine — are needed in traces.\nSo Boron is correctly labelled a micronutrient; zinc and iron are micronutrients and calcium a macronutrient.\nHence option (b).","solHi":"पौधों को वृहत् पोषक (N, P, K, Ca, Mg, S) अधिक मात्रा में चाहिए।\nसूक्ष्म पोषक — बोरॉन, जिंक, आयरन, मैंगनीज़, कॉपर, मॉलिब्डेनम, क्लोरीन — अल्प मात्रा में चाहिए।\nअतः बोरॉन सही रूप से सूक्ष्म पोषक है; जिंक व आयरन भी सूक्ष्म और कैल्शियम वृहत् पोषक है।\nअतः विकल्प (b)।","pos":2,"neg":0.5},{"id":542,"n":42,"subject":"General Awareness","stem":"Identify the correctly matched pair concerning electromagnetic devices:","stemHi":"विद्युत-चुंबकीय उपकरणों से संबंधित सही सुमेलित युग्म पहचानिए:","context":null,"contextHi":null,"options":[{"key":"a","text":"Transformer - Functions on DC current to vary voltage","textHi":"ट्रांसफार्मर - वोल्टेज बदलने हेतु DC पर कार्य करता है","imageUrl":null},{"key":"b","text":"Electric Generator - Converts electrical energy into mechanical energy","textHi":"विद्युत जनित्र - विद्युत ऊर्जा को यांत्रिक ऊर्जा में बदलता है","imageUrl":null},{"key":"c","text":"Electromagnet - Acts as a permanent magnet","textHi":"विद्युत चुंबक - स्थायी चुंबक की तरह कार्य करता है","imageUrl":null},{"key":"d","text":"Electric Bell - Operates using the magnetic effect of electric current","textHi":"विद्युत घंटी - विद्युत धारा के चुंबकीय प्रभाव से कार्य करती है","imageUrl":null}],"correct":"d","sol":"Electric bell\nAn electric bell uses an electromagnet that pulls the hammer — the magnetic effect of current — correctly matched.\nA transformer works only on AC; a generator converts MECHANICAL energy into electrical.\nAn electromagnet is temporary — it acts as a magnet only while current flows.\nHence option (d).","solHi":"विद्युत घंटी में विद्युत चुंबक हथौड़े को खींचता है — यही धारा का चुंबकीय प्रभाव है — सही सुमेलित।\nट्रांसफार्मर केवल AC पर कार्य करता है; जनित्र यांत्रिक ऊर्जा को विद्युत ऊर्जा में बदलता है।\nविद्युत चुंबक अस्थायी है — धारा बहने तक ही चुंबक रहता है।\nअतः विकल्प (d)।","pos":2,"neg":0.5},{"id":543,"n":43,"subject":"General Awareness","stem":"Examine the following statements and choose the correct option:\nAssertion (A): Mission Amrit Sarovar focuses on the conservation and rejuvenation of water bodies.\nReason (R): Under the mission, 75 ponds are to be developed in every district of the country by 2024.","stemHi":"निम्न कथनों की जाँच कर सही विकल्प चुनिए:\nअभिकथन (A): मिशन अमृत सरोवर जल निकायों के संरक्षण और पुनरुद्धार पर केंद्रित है।\nकारण (R): इस मिशन के तहत 2024 तक देश के हर जिले में 75 तालाब विकसित किए जाने हैं।","context":null,"contextHi":null,"options":[{"key":"a","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":"b","text":"Both A and R are true, but R is not the correct explanation of A","textHi":"A और R दोनों सत्य हैं, परंतु R सही व्याख्या नहीं है","imageUrl":null},{"key":"c","text":"A is true, but R is false","textHi":"A सत्य है, परंतु R असत्य है","imageUrl":null},{"key":"d","text":"A is false, but R is true","textHi":"A असत्य है, परंतु R सत्य है","imageUrl":null}],"correct":"a","sol":"Mission Amrit Sarovar (A–R)\nMission Amrit Sarovar (2022) aims at conserving and rejuvenating water bodies — A is true.\nIts concrete target was 75 ponds in every district by 15 August 2023–24, marking Azadi ka Amrit Mahotsav — R is true.\nThat target is exactly HOW the conservation goal is pursued, so R explains A.\nHence option (a).","solHi":"मिशन अमृत सरोवर (2022) का लक्ष्य जल निकायों का संरक्षण और पुनरुद्धार है — A सत्य।\nइसका ठोस लक्ष्य था हर जिले में 75 तालाब, आज़ादी का अमृत महोत्सव के अंतर्गत — R सत्य।\nयही लक्ष्य संरक्षण के उद्देश्य को पूरा करने का तरीका है, अतः R, A की व्याख्या करता है।\nअतः विकल्प (a)।","pos":2,"neg":0.5},{"id":544,"n":44,"subject":"General Awareness","stem":"Examine the following statements regarding the traditional Kashmiri dance form Rauf:\n1. It is a women's group dance performed mainly during Eid celebrations.\n2. The dancers form two opposite rows and perform rhythmic toe-heel movements known as ras.\nWhich of the above statements is/are correct?","stemHi":"पारंपरिक कश्मीरी नृत्य रौफ के संबंध में निम्न कथनों की जाँच कीजिए:\n1. यह मुख्यतः ईद के अवसर पर महिलाओं द्वारा किया जाने वाला सामूहिक नृत्य है।\n2. नर्तकियाँ आमने-सामने दो पंक्तियाँ बनाकर पंजा-एड़ी की लयबद्ध गति करती हैं, जिसे रस कहते हैं।\nउपर्युक्त में से कौन-सा/से कथन सही है/हैं?","context":null,"contextHi":null,"options":[{"key":"a","text":"Only 2 is correct","textHi":"केवल 2 सही है","imageUrl":null},{"key":"b","text":"Only 1 is correct","textHi":"केवल 1 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":"Neither 1 nor 2 is correct","textHi":"न 1 न 2 सही है","imageUrl":null}],"correct":"c","sol":"Rauf dance\nRauf (Rouf) is danced by Kashmiri women in groups, especially at Eid and in spring — Statement 1 correct.\nThey stand in two facing rows, arms linked, and move with the typical toe-heel footwork called ras — Statement 2 correct.\nThe songs are sung in chorus as the rows sway forward and back.\nHence Both — option (c).","solHi":"रौफ कश्मीरी महिलाएँ समूह में करती हैं, विशेषकर ईद और वसंत पर — कथन 1 सही।\nवे आमने-सामने दो पंक्तियों में बाँहें जोड़कर खड़ी होती हैं और पंजा-एड़ी की विशिष्ट गति "रस" करती हैं — कथन 2 सही।\nपंक्तियाँ आगे-पीछे झूमते हुए सामूहिक गीत गाती हैं।\nअतः दोनों — विकल्प (c)।","pos":2,"neg":0.5},{"id":545,"n":45,"subject":"General Awareness","stem":"Evaluate the following statements and choose the correct option:\nAssertion (A): India's position in the Global Happiness Index is lower compared to most of its South Asian neighbours.\nReason (R): India has the lowest GDP per capita among South Asian countries.","stemHi":"निम्न कथनों का मूल्यांकन कर सही विकल्प चुनिए:\nअभिकथन (A): वैश्विक प्रसन्नता सूचकांक में भारत की स्थिति अपने अधिकांश दक्षिण एशियाई पड़ोसियों से नीचे है।\nकारण (R): दक्षिण एशियाई देशों में भारत की प्रति व्यक्ति GDP सबसे कम है।","context":null,"contextHi":null,"options":[{"key":"a","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":"b","text":"Both A and R are true, but R is not the correct explanation of A.","textHi":"A और R दोनों सत्य हैं, परंतु R सही व्याख्या नहीं है।","imageUrl":null},{"key":"c","text":"A is true, but R is false.","textHi":"A सत्य है, परंतु R असत्य 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":"Happiness Index (A–R)\nIndia ranked 126th of 143 in the World Happiness Report 2024 — below Nepal, Pakistan, Sri Lanka and Bangladesh — A is true.\nIndia’s per-capita GDP is NOT the lowest in South Asia; Afghanistan and Nepal are lower — R is false.\nHappiness rankings also weigh social support, freedom and perceptions of corruption.\nHence option (c).","solHi":"विश्व प्रसन्नता रिपोर्ट 2024 में भारत 143 में से 126वें स्थान पर रहा — नेपाल, पाकिस्तान, श्रीलंका और बांग्लादेश से नीचे — A सत्य।\nभारत की प्रति व्यक्ति GDP दक्षिण एशिया में सबसे कम नहीं है; अफ़ग़ानिस्तान और नेपाल कम हैं — R असत्य।\nप्रसन्नता रैंकिंग में सामाजिक सहयोग, स्वतंत्रता और भ्रष्टाचार-बोध भी गिने जाते हैं।\nअतः विकल्प (c)।","pos":2,"neg":0.5},{"id":546,"n":46,"subject":"General Awareness","stem":"In 2024, which of the following rivers was newly included under the National River Conservation Plan (NRCP)?","stemHi":"2024 में निम्न में से कौन-सी नदी को राष्ट्रीय नदी संरक्षण योजना (NRCP) में नया शामिल किया गया?","context":null,"contextHi":null,"options":[{"key":"a","text":"Krishna","textHi":"कृष्णा","imageUrl":null},{"key":"b","text":"Gomti","textHi":"गोमती","imageUrl":null},{"key":"c","text":"Musi","textHi":"मूसी","imageUrl":null},{"key":"d","text":"Yamuna","textHi":"यमुना","imageUrl":null}],"correct":"c","sol":"Musi under NRCP\nThe Musi, which flows through Hyderabad, was brought under the NRCP in 2024.\nThe plan funds sewage interception, treatment and riverfront work in polluted stretches.\nThe Yamuna and Gomti were already covered earlier.\nHence option (c).","solHi":"हैदराबाद से बहने वाली मूसी नदी को 2024 में NRCP के अंतर्गत लाया गया।\nयह योजना प्रदूषित खंडों में सीवेज अवरोधन, शोधन और रिवरफ्रंट कार्य हेतु धन देती है।\nयमुना और गोमती पहले से शामिल थीं।\nअतः विकल्प (c)।","pos":2,"neg":0.5},{"id":547,"n":47,"subject":"General Awareness","stem":"Article 50 of the Indian Constitution is included under which constitutional provision?","stemHi":"भारतीय संविधान का अनुच्छेद 50 किस संवैधानिक प्रावधान के अंतर्गत आता है?","context":null,"contextHi":null,"options":[{"key":"a","text":"Fundamental Duties","textHi":"मूल कर्तव्य","imageUrl":null},{"key":"b","text":"Directive Principles of State Policy","textHi":"राज्य के नीति निदेशक तत्त्व","imageUrl":null},{"key":"c","text":"Fundamental Rights","textHi":"मूल अधिकार","imageUrl":null},{"key":"d","text":"Preamble","textHi":"प्रस्तावना","imageUrl":null}],"correct":"b","sol":"Article 50 — DPSP\nArticle 50 directs the State to separate the judiciary from the executive in public services.\nIt lies in Part IV — the Directive Principles of State Policy.\nBeing a directive, it is not enforceable in court.\nHence option (b).","solHi":"अनुच्छेद 50 राज्य को लोक सेवाओं में न्यायपालिका को कार्यपालिका से पृथक करने का निदेश देता है।\nयह भाग IV — राज्य के नीति निदेशक तत्त्वों — में है।\nनिदेशक तत्त्व होने के कारण यह न्यायालय में प्रवर्तनीय नहीं है।\nअतः विकल्प (b)।","pos":2,"neg":0.5},{"id":548,"n":48,"subject":"General Awareness","stem":"Arrange the following GST-related events in their correct chronological sequence:\n1. Constitution (101st Amendment) Act enacted\n2. GST Council constituted\n3. GST officially launched\nChoose the correct order:","stemHi":"निम्न GST-संबंधी घटनाओं को सही कालक्रम में व्यवस्थित कीजिए:\n1. संविधान (101वाँ संशोधन) अधिनियम पारित\n2. GST परिषद का गठन\n3. GST की औपचारिक शुरुआत\nसही क्रम चुनिए:","context":null,"contextHi":null,"options":[{"key":"a","text":"1-2-3","textHi":null,"imageUrl":null},{"key":"b","text":"2-1-3","textHi":null,"imageUrl":null},{"key":"c","text":"3-2-1","textHi":null,"imageUrl":null},{"key":"d","text":"2-3-1","textHi":null,"imageUrl":null}],"correct":"a","sol":"GST chronology\nThe Constitution (101st Amendment) Act was enacted on 8 September 2016.\nThe GST Council was then constituted on 12 September 2016 under Article 279A.\nGST was finally launched on 1 July 2017.\nOrder 1-2-3 — option (a).","solHi":"संविधान (101वाँ संशोधन) अधिनियम 8 सितंबर 2016 को पारित हुआ।\nइसके बाद 12 सितंबर 2016 को अनुच्छेद 279A के अंतर्गत GST परिषद गठित हुई।\nGST अंततः 1 जुलाई 2017 को लागू हुआ।\nक्रम 1-2-3 — विकल्प (a)।","pos":2,"neg":0.5},{"id":549,"n":49,"subject":"General Awareness","stem":"Examine the following statements and select the correct option:\nAssertion (A): The Industrial Policy Resolution (IPR) of 1956 categorized industries into three schedules - A, B, and C.\nReason (R): The purpose of this classification was to define areas of exclusive state control, mixed participation, and private sector operation.","stemHi":"निम्न कथनों की जाँच कर सही विकल्प चुनिए:\nअभिकथन (A): औद्योगिक नीति संकल्प (IPR) 1956 ने उद्योगों को तीन अनुसूचियों — A, B और C — में वर्गीकृत किया।\nकारण (R): इस वर्गीकरण का उद्देश्य राज्य के अनन्य नियंत्रण, मिश्रित भागीदारी और निजी क्षेत्र के संचालन के क्षेत्र निर्धारित करना था।","context":null,"contextHi":null,"options":[{"key":"a","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":"b","text":"Both A and R are true, but R is not the correct explanation of A.","textHi":"A और R दोनों सत्य हैं, परंतु R सही व्याख्या नहीं है।","imageUrl":null},{"key":"c","text":"A is true, but R is false.","textHi":"A सत्य है, परंतु R असत्य है।","imageUrl":null},{"key":"d","text":"A is false, but R is true.","textHi":"A असत्य है, परंतु R सत्य है।","imageUrl":null}],"correct":"a","sol":"IPR 1956 (A–R)\nIPR 1956 — the economic constitution of India — divided industries into Schedules A, B and C — A is true.\nSchedule A was reserved for the State, Schedule B for joint state-private growth, Schedule C left to the private sector — R is true.\nThat very purpose is why the three-fold classification was made, so R explains A.\nHence option (a).","solHi":"IPR 1956 — भारत का आर्थिक संविधान — ने उद्योगों को अनुसूची A, B और C में बाँटा — A सत्य।\nअनुसूची A राज्य के लिए आरक्षित, B संयुक्त विकास हेतु और C निजी क्षेत्र के लिए — R सत्य।\nयही उद्देश्य था जिसके कारण त्रिस्तरीय वर्गीकरण किया गया, अतः R, A की व्याख्या करता है।\nअतः विकल्प (a)।","pos":2,"neg":0.5},{"id":550,"n":50,"subject":"General Awareness","stem":"Consider the following statements about the Earth's major climatic zones:\n1. Tropical regions show very little variation in temperature throughout the year.\n2. Temperate regions generally experience four well-defined seasons.\nWhich of the above statements is/are correct?","stemHi":"पृथ्वी के प्रमुख जलवायु कटिबंधों के संबंध में निम्न कथनों पर विचार कीजिए:\n1. उष्णकटिबंधीय क्षेत्रों में वर्ष भर तापमान में बहुत कम अंतर होता है।\n2. शीतोष्ण क्षेत्रों में सामान्यतः चार सुस्पष्ट ऋतुएँ होती हैं।\nउपर्युक्त में से कौन-सा/से कथन सही है/हैं?","context":null,"contextHi":null,"options":[{"key":"a","text":"Only 1","textHi":"केवल 1","imageUrl":null},{"key":"b","text":"Only 2","textHi":"केवल 2","imageUrl":null},{"key":"c","text":"Both 1 and 2","textHi":"1 और 2 दोनों","imageUrl":null},{"key":"d","text":"Neither 1 nor 2","textHi":"न 1 न 2","imageUrl":null}],"correct":"c","sol":"Climatic zones\nBetween the Tropics of Cancer and Capricorn the Sun stays nearly overhead all year, so temperatures barely vary — Statement 1 correct.\nTemperate zones lie between the tropics and the polar circles and enjoy spring, summer, autumn and winter — Statement 2 correct.\nPolar regions, by contrast, have long days and nights with extreme cold.\nHence Both — option (c).","solHi":"कर्क और मकर रेखा के बीच सूर्य वर्ष भर लगभग सिर के ऊपर रहता है, अतः तापमान में मुश्किल से अंतर आता है — कथन 1 सही।\nशीतोष्ण कटिबंध उष्णकटिबंध और ध्रुव वृत्तों के बीच है और वहाँ वसंत, ग्रीष्म, शरद व शीत चारों ऋतुएँ होती हैं — कथन 2 सही।\nध्रुवीय क्षेत्रों में लंबे दिन-रात और भीषण ठंड होती है।\nअतः दोनों — विकल्प (c)।","pos":2,"neg":0.5},{"id":551,"n":51,"subject":"Quantitative Aptitude","stem":"If A : B = 4 : 7, B : C = 3 : 5, and C : D = 8 : 9, find A : B : C : D.","stemHi":"यदि A : B = 4 : 7, B : C = 3 : 5 और C : D = 8 : 9 है, तो A : B : C : D ज्ञात कीजिए।","context":null,"contextHi":null,"options":[{"key":"a","text":"96 : 168 : 280 : 315","textHi":null,"imageUrl":null},{"key":"b","text":"168 : 96 : 280 : 315","textHi":null,"imageUrl":null},{"key":"c","text":"96 : 168 : 315 : 280","textHi":null,"imageUrl":null},{"key":"d","text":"96 : 280 : 168 : 315","textHi":null,"imageUrl":null}],"correct":"a","sol":"Chained ratios\n $\"figure\"/$ \nLink the ratios through the common terms.\nA : B = 4 : 7 and B : C = 3 : 5 ⇒ A : B : C = 12 : 21 : 35.\nWith C : D = 8 : 9, multiply suitably: A : B : C : D = 96 : 168 : 280 : 315.\nHence option (a).","solHi":" $\"figure\"/$ \nसाझे पदों से अनुपात जोड़िए।\nA : B = 4 : 7 और B : C = 3 : 5 ⇒ A : B : C = 12 : 21 : 35।\nC : D = 8 : 9 के साथ उपयुक्त गुणा करने पर: A : B : C : D = 96 : 168 : 280 : 315।\nअतः विकल्प (a)।","pos":2,"neg":0.5},{"id":552,"n":52,"subject":"Quantitative Aptitude","stem":"A box contains ₹10, ₹5, and ₹2 coins in the ratio 1 : 2 : 3. If the total amount of money in the box is ₹416, find the number of coins of each kind.","stemHi":"एक डिब्बे में ₹10, ₹5 और ₹2 के सिक्के 1 : 2 : 3 के अनुपात में हैं। यदि कुल राशि ₹416 है, तो प्रत्येक प्रकार के सिक्कों की संख्या ज्ञात कीजिए।","context":null,"contextHi":null,"options":[{"key":"a","text":"20 coins of ₹10, 10 of ₹5, and 30 of ₹2","textHi":"₹10 के 20, ₹5 के 10, ₹2 के 30 सिक्के","imageUrl":null},{"key":"b","text":"16 coins of ₹10, 32 of ₹5, and 48 of ₹2","textHi":"₹10 के 16, ₹5 के 32, ₹2 के 48 सिक्के","imageUrl":null},{"key":"c","text":"40 coins of ₹10, 10 of ₹5, and 60 of ₹2","textHi":"₹10 के 40, ₹5 के 10, ₹2 के 60 सिक्के","imageUrl":null},{"key":"d","text":"10 coins of ₹10, 20 of ₹5, and 36 of ₹2","textHi":"₹10 के 10, ₹5 के 20, ₹2 के 36 सिक्के","imageUrl":null}],"correct":"b","sol":"Coins in ratio\n $\"figure\"/$ \nLet the counts be x, 2x and 3x.\nValue: 10x + 5(2x) + 2(3x) = 10x + 10x + 6x = 26x.\n26x = 416 ⇒ x = 16.\nCoins = 16, 32 and 48 — option (b).","solHi":" $\"figure\"/$ \nसिक्कों की संख्या x, 2x और 3x लीजिए।\nमूल्य: 10x + 5(2x) + 2(3x) = 10x + 10x + 6x = 26x।\n26x = 416 ⇒ x = 16।\nसिक्के = 16, 32 और 48 — विकल्प (b)।","pos":2,"neg":0.5},{"id":553,"n":53,"subject":"Quantitative Aptitude","stem":"A tank holds 7

\frac{3}{4}

liters of water. If 3.375 liters are drained twice, how much water remains?","stemHi":"एक टंकी में 7

\frac{3}{4}

लीटर पानी है। यदि 3.375 लीटर दो बार निकाला जाए, तो कितना पानी शेष रहेगा?","context":null,"contextHi":null,"options":[{"key":"a","text":"1","textHi":null,"imageUrl":null},{"key":"b","text":"2

\frac{1}{4}

","textHi":null,"imageUrl":null},{"key":"c","text":"3

\frac{3}{8}

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

\frac{1}{2}

","textHi":null,"imageUrl":null}],"correct":"a","sol":"Mixed fraction subtraction\n7

\frac{3}{4}

= 7.75 litres.\nDrained twice: 2 × 3.375 = 6.75 litres.\n7.75 − 6.75 = 1.\nHence 1 litre — option (a).","solHi":"7

\frac{3}{4}

= 7.75 लीटर।\nदो बार निकाला: 2 × 3.375 = 6.75 लीटर।\n7.75 − 6.75 = 1।\nअतः 1 लीटर — विकल्प (a)।","pos":2,"neg":0.5},{"id":554,"n":54,"subject":"Quantitative Aptitude","stem":"Simplify:\n[(

\frac{4}{3}

) + (

\frac{4}{5}

\frac{2}{7}

)] ÷ [(

\frac{3}{2}

) − (

\frac{7}{12}

\frac{3}{4}

)]","stemHi":"सरल कीजिए:\n[(

\frac{4}{3}

) + (

\frac{4}{5}

\frac{2}{7}

)] ÷ [(

\frac{3}{2}

) − (

\frac{7}{12}

\frac{3}{4}

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

\frac{992}{255}

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

\frac{892}{255}

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

\frac{982}{255}

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

\frac{929}{255}

","textHi":null,"imageUrl":null}],"correct":"a","sol":"$29","solHi":"$2a","pos":2,"neg":0.5},{"id":555,"n":55,"subject":"Quantitative Aptitude","stem":"Simplify:\n(2

\frac{1}{2}

+ 2.6) ÷ 0.75 + (1.25 ×

\frac{3}{5}

)","stemHi":"सरल कीजिए:\n(2

\frac{1}{2}

+ 2.6) ÷ 0.75 + (1.25 ×

\frac{3}{5}

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

\frac{137}{20}

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

\frac{161}{20}

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

\frac{151}{20}

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

\frac{148}{20}

","textHi":null,"imageUrl":null}],"correct":"c","sol":"Decimal-fraction mix\nFirst bracket: 2.5 + 2.6 = 5.1; dividing by 0.75 gives 6.8.\nSecond bracket: 1.25 × 0.6 = 0.75.\n6.8 + 0.75 = 7.55 =

\frac{755}{100}

.\n=

\frac{151}{20}

— option (c).","solHi":"पहला कोष्ठक: 2.5 + 2.6 = 5.1; 0.75 से भाग देने पर 6.8।\nदूसरा कोष्ठक: 1.25 × 0.6 = 0.75।\n6.8 + 0.75 = 7.55 =

\frac{755}{100}

।\n=

\frac{151}{20}

— विकल्प (c)।","pos":2,"neg":0.5},{"id":556,"n":56,"subject":"Quantitative Aptitude","stem":"P and Q invested in a business in the ratio 4 : 5. The profit ratio was 8 : 9. If Q invested his money for 9 months, for how many months did P invest?","stemHi":"P और Q ने 4 : 5 के अनुपात में निवेश किया। लाभ का अनुपात 8 : 9 रहा। यदि Q का धन 9 माह लगा रहा, तो P ने कितने माह निवेश किया?","context":null,"contextHi":null,"options":[{"key":"a","text":"12 months","textHi":"12 माह","imageUrl":null},{"key":"b","text":"10 months","textHi":"10 माह","imageUrl":null},{"key":"c","text":"16 months","textHi":"16 माह","imageUrl":null},{"key":"d","text":"14 months","textHi":"14 माह","imageUrl":null}],"correct":"b","sol":"Partnership — time of P\n $\"figure\"/$ \nProfit ∝ capital × time.\n

\frac{4 \times x}{5 \times 9}

\frac{8}{9}

.\n36x = 360 ⇒ x = 10.\nHence 10 months — option (b).","solHi":" $\"figure\"/$ \nलाभ ∝ पूँजी × समय।\n

\frac{4 \times x}{5 \times 9}

\frac{8}{9}

।\n36x = 360 ⇒ x = 10।\nअतः 10 माह — विकल्प (b)।","pos":2,"neg":0.5},{"id":557,"n":57,"subject":"Quantitative Aptitude","stem":"The average of 8 numbers is 56. When one number is removed, the average becomes 54. What number was removed?","stemHi":"8 संख्याओं का औसत 56 है। एक संख्या हटाने पर औसत 54 हो जाता है। कौन-सी संख्या हटाई गई?","context":null,"contextHi":null,"options":[{"key":"a","text":"52","textHi":null,"imageUrl":null},{"key":"b","text":"70","textHi":null,"imageUrl":null},{"key":"c","text":"80","textHi":null,"imageUrl":null},{"key":"d","text":"92","textHi":null,"imageUrl":null}],"correct":"b","sol":"Average — number removed\n $\"figure\"/$ \nTotal of 8 numbers = 8 × 56 = 448.\nTotal of the remaining 7 = 7 × 54 = 378.\nRemoved number = 448 − 378.\n= 70 — option (b).","solHi":" $\"figure\"/$ \n8 संख्याओं का योग = 8 × 56 = 448।\nशेष 7 का योग = 7 × 54 = 378।\nहटाई गई संख्या = 448 − 378।\n= 70 — विकल्प (b)।","pos":2,"neg":0.5},{"id":558,"n":58,"subject":"Quantitative Aptitude","stem":"$2b","stemHi":"$2c","context":null,"contextHi":null,"options":[{"key":"a","text":"22.5 litres","textHi":"22.5 लीटर","imageUrl":null},{"key":"b","text":"21.7 litres","textHi":"21.7 लीटर","imageUrl":null},{"key":"c","text":"23.7 litres","textHi":"23.7 लीटर","imageUrl":null},{"key":"d","text":"25.5 litres","textHi":"25.5 लीटर","imageUrl":null}],"correct":"b","sol":"Table — daily average\nWeekly Diesel Usage (litres). Add all ten readings.\nCar 1: 19+22+24+16+21 = 102; Car 2: 15+28+23+20+29 = 115.\nTotal = 217 over 10 vehicle-days.\nAverage =

\frac{217}{10}

= 21.7 litres — option (b).","solHi":"साप्ताहिक डीज़ल खपत (लीटर)। दसों मान जोड़िए।\nCar 1: 19+22+24+16+21 = 102; Car 2: 15+28+23+20+29 = 115।\nकुल = 217, 10 वाहन-दिनों में।\nऔसत =

\frac{217}{10}

= 21.7 लीटर — विकल्प (b)।","pos":2,"neg":0.5},{"id":559,"n":59,"subject":"Quantitative Aptitude","stem":"Rohit invested a certain sum of money at 10% compound interest per annum. After 2 years, the amount became ₹24,200. Find the sum he had invested.","stemHi":"रोहित ने कुछ राशि 10% वार्षिक चक्रवृद्धि ब्याज पर निवेश की। 2 वर्ष बाद राशि ₹24,200 हो गई। उसने कितनी राशि निवेश की थी?","context":null,"contextHi":null,"options":[{"key":"a","text":"₹20000","textHi":null,"imageUrl":null},{"key":"b","text":"₹21000","textHi":null,"imageUrl":null},{"key":"c","text":"₹21500","textHi":null,"imageUrl":null},{"key":"d","text":"₹10500","textHi":null,"imageUrl":null}],"correct":"a","sol":"CI — find principal\n $\"figure\"/$ \nAt 10%, P : A over 2 years = 10² : 11² = 100 : 121.\n121 units = ₹24,200 ⇒ 1 unit = ₹200.\nP = 100 units = 100 × 200.\n= ₹20,000 — option (a).","solHi":" $\"figure\"/$ \n10% पर 2 वर्ष में P : A = 10² : 11² = 100 : 121।\n121 इकाई = ₹24,200 ⇒ 1 इकाई = ₹200।\nP = 100 इकाई = 100 × 200।\n= ₹20,000 — विकल्प (a)।","pos":2,"neg":0.5},{"id":560,"n":60,"subject":"Quantitative Aptitude","stem":"A grocer purchased 40 kg of rice at ₹40 per kg and 30 kg of another variety of rice at ₹55 per kg. He mixed the two varieties and sold the entire mixture at ₹48 per kg. Find his total profit or loss in this transaction.","stemHi":"एक व्यापारी ने ₹40 प्रति किग्रा की दर से 40 किग्रा चावल और ₹55 प्रति किग्रा की दर से 30 किग्रा दूसरी किस्म का चावल खरीदा। उसने मिश्रण को ₹48 प्रति किग्रा बेचा। कुल लाभ या हानि ज्ञात कीजिए।","context":null,"contextHi":null,"options":[{"key":"a","text":"Loss of ₹110","textHi":"₹110 की हानि","imageUrl":null},{"key":"b","text":"Loss of ₹240","textHi":"₹240 की हानि","imageUrl":null},{"key":"c","text":"Profit of ₹110","textHi":"₹110 का लाभ","imageUrl":null},{"key":"d","text":"Loss of ₹290","textHi":"₹290 की हानि","imageUrl":null}],"correct":"c","sol":"Mixture — profit\n $\"figure\"/$ \nCost = 40 × 40 + 30 × 55 = 1600 + 1650 = ₹3,250.\nTotal quantity = 70 kg, sold at ₹48 ⇒ SP = 70 × 48 = ₹3,360.\nProfit = 3,360 − 3,250.\n= ₹110 profit — option (c).","solHi":" $\"figure\"/$ \nलागत = 40 × 40 + 30 × 55 = 1600 + 1650 = ₹3,250।\nकुल मात्रा 70 किग्रा, ₹48 पर बेची ⇒ SP = 70 × 48 = ₹3,360।\nलाभ = 3,360 − 3,250।\n= ₹110 का लाभ — विकल्प (c)।","pos":2,"neg":0.5},{"id":561,"n":61,"subject":"Quantitative Aptitude","stem":"The marked price of a TV is ₹30,000. Amit receives two successive discounts while buying it. If the first discount is 20% and the final price he pays is ₹16,800, what is the second discount rate?","stemHi":"एक टीवी का अंकित मूल्य ₹30,000 है। अमित को दो क्रमिक छूट मिलती हैं। यदि पहली छूट 20% है और अंतिम भुगतान ₹16,800 है, तो दूसरी छूट की दर क्या है?","context":null,"contextHi":null,"options":[{"key":"a","text":"30%","textHi":null,"imageUrl":null},{"key":"b","text":"16%","textHi":null,"imageUrl":null},{"key":"c","text":"14%","textHi":null,"imageUrl":null},{"key":"d","text":"15%","textHi":null,"imageUrl":null}],"correct":"a","sol":"Second discount\n $\"figure\"/$ \nAfter the first discount: 30,000 × 0.80 = ₹24,000.\nLet the second discount be x%: 24,000 ×

\frac{100 - x}{100}

= 16,800.\n100 − x =

\frac{16800 \times 100}{24000}

= 70.\nx = 30% — option (a).","solHi":" $\"figure\"/$ \nपहली छूट के बाद: 30,000 × 0.80 = ₹24,000।\nदूसरी छूट x% मानिए: 24,000 ×

\frac{100 - x}{100}

= 16,800।\n100 − x =

\frac{16800 \times 100}{24000}

= 70।\nx = 30% — विकल्प (a)।","pos":2,"neg":0.5},{"id":562,"n":62,"subject":"Quantitative Aptitude","stem":"A manufacturer marked a product 20% above its cost price. He provided a discount to a customer, which resulted in him making a profit of 8%. What was the rate of discount given by the manufacturer?","stemHi":"एक निर्माता ने उत्पाद को क्रय मूल्य से 20% अधिक अंकित किया। ग्राहक को छूट देने पर उसे 8% लाभ हुआ। निर्माता ने कितने प्रतिशत छूट दी?","context":null,"contextHi":null,"options":[{"key":"a","text":"22%","textHi":null,"imageUrl":null},{"key":"b","text":"40%","textHi":null,"imageUrl":null},{"key":"c","text":"30%","textHi":null,"imageUrl":null},{"key":"d","text":"10%","textHi":null,"imageUrl":null}],"correct":"d","sol":"Markup 20%, profit 8%\n $\"figure\"/$ \nTake CP = ₹100 ⇒ MP = ₹120 and SP = ₹108.\nDiscount = 120 − 108 = ₹12 on the marked price.\nRate =

\frac{12}{120}

× 100.\n= 10% — option (d).","solHi":" $\"figure\"/$ \nCP = ₹100 लीजिए ⇒ MP = ₹120 और SP = ₹108।\nछूट = 120 − 108 = ₹12, अंकित मूल्य पर।\nदर =

\frac{12}{120}

× 100।\n= 10% — विकल्प (d)।","pos":2,"neg":0.5},{"id":563,"n":63,"subject":"Quantitative Aptitude","stem":"Two containers, A and B, contain mixtures of alcohol and water. Container A has them in the ratio 2 : 1, while Container B has them in the ratio 4 : 3. If 9 liters are drawn from Container A and 14 liters from Container B, and the contents are mixed in a third container, what is the ratio of alcohol to water in the new mixture?","stemHi":"दो पात्र A और B में अल्कोहल और पानी के मिश्रण हैं। पात्र A में यह अनुपात 2 : 1 और पात्र B में 4 : 3 है। यदि A से 9 लीटर और B से 14 लीटर निकालकर तीसरे पात्र में मिलाया जाए, तो नए मिश्रण में अल्कोहल और पानी का अनुपात क्या होगा?","context":null,"contextHi":null,"options":[{"key":"a","text":"3 : 11","textHi":null,"imageUrl":null},{"key":"b","text":"14 : 9","textHi":null,"imageUrl":null},{"key":"c","text":"9 : 14","textHi":null,"imageUrl":null},{"key":"d","text":"11 : 3","textHi":null,"imageUrl":null}],"correct":"b","sol":"Two containers mixed\n $\"figure\"/$ \nFrom A (2 : 1) in 9 L: alcohol =

\frac{2}{3}

× 9 = 6 L, water = 3 L.\nFrom B (4 : 3) in 14 L: alcohol =

\frac{4}{7}

× 14 = 8 L, water = 6 L.\nTotal alcohol = 6 + 8 = 14 L; total water = 3 + 6 = 9 L.\nRatio = 14 : 9 — option (b).","solHi":" $\"figure\"/$ \nA (2 : 1) से 9 L में: अल्कोहल =

\frac{2}{3}

× 9 = 6 L, पानी = 3 L।\nB (4 : 3) से 14 L में: अल्कोहल =

\frac{4}{7}

× 14 = 8 L, पानी = 6 L।\nकुल अल्कोहल = 6 + 8 = 14 L; कुल पानी = 3 + 6 = 9 L।\nअनुपात = 14 : 9 — विकल्प (b)।","pos":2,"neg":0.5},{"id":564,"n":64,"subject":"Quantitative Aptitude","stem":"If the radius of a hemisphere is increased to twice its original size, what is the ratio of the new surface area to the original surface area, as well as the proportion of the new volume to the original volume?","stemHi":"यदि किसी अर्धगोले की त्रिज्या दोगुनी कर दी जाए, तो नए और मूल पृष्ठीय क्षेत्रफल का अनुपात तथा नए और मूल आयतन का अनुपात क्या होगा?","context":null,"contextHi":null,"options":[{"key":"a","text":"4 : 1 and 8 : 1","textHi":"4 : 1 और 8 : 1","imageUrl":null},{"key":"b","text":"6 : 1 and 8 : 1","textHi":"6 : 1 और 8 : 1","imageUrl":null},{"key":"c","text":"8 : 1 and 2 : 1","textHi":"8 : 1 और 2 : 1","imageUrl":null},{"key":"d","text":"2 : 1 and 4 : 1","textHi":"2 : 1 और 4 : 1","imageUrl":null}],"correct":"a","sol":"Hemisphere — radius doubled\n $\"figure\"/$ \nSurface area of a hemisphere = 3πr² — it varies as r².\nDoubling r multiplies the area by 2² = 4 ⇒ 4 : 1.\nVolume =

\frac{2}{3}

πr³ varies as r³, so it multiplies by 2³ = 8 ⇒ 8 : 1.\nHence 4 : 1 and 8 : 1 — option (a).","solHi":" $\"figure\"/$ \nअर्धगोले का पृष्ठीय क्षेत्रफल = 3πr² — यह r² के अनुपात में बदलता है।\nr दोगुनी करने पर क्षेत्रफल 2² = 4 गुना ⇒ 4 : 1।\nआयतन =

\frac{2}{3}

πr³, r³ के अनुपात में, अतः 2³ = 8 गुना ⇒ 8 : 1।\nअतः 4 : 1 और 8 : 1 — विकल्प (a)।","pos":2,"neg":0.5},{"id":565,"n":65,"subject":"Quantitative Aptitude","stem":"A hemisphere and a cone share the same base and have equal volumes. Given that their common radius is R, determine the height of the cone.","stemHi":"एक अर्धगोला और एक शंकु का आधार समान है और आयतन बराबर हैं। यदि उनकी उभयनिष्ठ त्रिज्या R है, तो शंकु की ऊँचाई ज्ञात कीजिए।","context":null,"contextHi":null,"options":[{"key":"a","text":"R","textHi":null,"imageUrl":null},{"key":"b","text":"2R","textHi":null,"imageUrl":null},{"key":"c","text":"5R","textHi":null,"imageUrl":null},{"key":"d","text":"3R","textHi":null,"imageUrl":null}],"correct":"b","sol":"Hemisphere = cone volume\n $\"figure\"/$ \nEquate volumes:

\frac{2}{3}

πR³ =

\frac{1}{3}

πR²H.\nCancel

\frac{1}{3}

πR²: 2R = H.\nSo the cone must be twice as tall as the radius.\nH = 2R — option (b).","solHi":" $\"figure\"/$ \nआयतन बराबर:

\frac{2}{3}

πR³ =

\frac{1}{3}

πR²H।\n

\frac{1}{3}

πR² काटिए: 2R = H।\nअर्थात शंकु की ऊँचाई त्रिज्या की दोगुनी होनी चाहिए।\nH = 2R — विकल्प (b)।","pos":2,"neg":0.5},{"id":566,"n":66,"subject":"Quantitative Aptitude","stem":"A solid sphere of radius 8 cm is melted into four cones of equal height. If each cone's radius is 4 cm, what is the height of each cone?","stemHi":"8 cm त्रिज्या के एक ठोस गोले को पिघलाकर समान ऊँचाई के चार शंकु बनाए जाते हैं। यदि प्रत्येक शंकु की त्रिज्या 4 cm है, तो प्रत्येक शंकु की ऊँचाई क्या है?","context":null,"contextHi":null,"options":[{"key":"a","text":"40 cm","textHi":null,"imageUrl":null},{"key":"b","text":"32 cm","textHi":null,"imageUrl":null},{"key":"c","text":"50 cm","textHi":null,"imageUrl":null},{"key":"d","text":"52 cm","textHi":null,"imageUrl":null}],"correct":"b","sol":"Sphere → 4 cones\n $\"figure\"/$ \nVolume is conserved:

\frac{4}{3}

π(8)³ = 4 ×

\frac{1}{3}

π(4)²h.\n

\frac{4}{3}

π × 512 =

\frac{4}{3}

π × 16 × h.\n512 = 16h ⇒ h = 32.\nHence 32 cm — option (b).","solHi":" $\"figure\"/$ \nआयतन संरक्षित:

\frac{4}{3}

π(8)³ = 4 ×

\frac{1}{3}

π(4)²h।\n

\frac{4}{3}

π × 512 =

\frac{4}{3}

π × 16 × h।\n512 = 16h ⇒ h = 32।\nअतः 32 cm — विकल्प (b)।","pos":2,"neg":0.5},{"id":567,"n":67,"subject":"Quantitative Aptitude","stem":"If base perimeter = 30 cm and slant height = 10 cm, what is the lateral surface area of a square pyramid?","stemHi":"यदि आधार का परिमाप 30 cm और तिर्यक ऊँचाई 10 cm है, तो वर्गाकार पिरामिड का पार्श्व पृष्ठीय क्षेत्रफल क्या है?","context":null,"contextHi":null,"options":[{"key":"a","text":"160 cm²","textHi":null,"imageUrl":null},{"key":"b","text":"200 cm²","textHi":null,"imageUrl":null},{"key":"c","text":"150 cm²","textHi":null,"imageUrl":null},{"key":"d","text":"152 cm²","textHi":null,"imageUrl":null}],"correct":"c","sol":"Square pyramid LSA\nLSA of a pyramid =

\frac{1}{2}

× base perimeter × slant height.\n=

\frac{1}{2}

× 30 × 10.\n= 150.\nHence 150 cm² — option (c).","solHi":"पिरामिड का LSA =

\frac{1}{2}

× आधार परिमाप × तिर्यक ऊँचाई।\n=

\frac{1}{2}

× 30 × 10।\n= 150।\nअतः 150 cm² — विकल्प (c)।","pos":2,"neg":0.5},{"id":568,"n":68,"subject":"Quantitative Aptitude","stem":"Two circular tracks have radii in the ratio 2 : 5. If the smaller track has an area of 100π cm², what is the area of the larger track?","stemHi":"दो वृत्ताकार ट्रैकों की त्रिज्याओं का अनुपात 2 : 5 है। यदि छोटे ट्रैक का क्षेत्रफल 100π cm² है, तो बड़े ट्रैक का क्षेत्रफल क्या है?","context":null,"contextHi":null,"options":[{"key":"a","text":"215π cm²","textHi":null,"imageUrl":null},{"key":"b","text":"235π cm²","textHi":null,"imageUrl":null},{"key":"c","text":"625π cm²","textHi":null,"imageUrl":null},{"key":"d","text":"240π cm²","textHi":null,"imageUrl":null}],"correct":"c","sol":"Areas ∝ r²\n $\"figure\"/$ \nArea varies as the square of the radius.\nRatio of areas = 2² : 5² = 4 : 25.\n

\frac{4}{25}

\frac{100 π}{x}

⇒ x = 625π.\nHence 625π cm² — option (c).","solHi":" $\"figure\"/$ \nक्षेत्रफल त्रिज्या के वर्ग के अनुपात में बदलता है।\nक्षेत्रफलों का अनुपात = 2² : 5² = 4 : 25।\n

\frac{4}{25}

\frac{100 π}{x}

⇒ x = 625π।\nअतः 625π cm² — विकल्प (c)।","pos":2,"neg":0.5},{"id":569,"n":69,"subject":"Quantitative Aptitude","stem":"In a triangle PQR, medians PS and QT intersect at O. If the length of median PS is 15 cm, what is the length of the segment PO?","stemHi":"त्रिभुज PQR में माध्यिकाएँ PS और QT बिंदु O पर मिलती हैं। यदि माध्यिका PS की लंबाई 15 cm है, तो खंड PO की लंबाई क्या है?","context":null,"contextHi":null,"options":[{"key":"a","text":"10 cm","textHi":null,"imageUrl":null},{"key":"b","text":"6 cm","textHi":null,"imageUrl":null},{"key":"c","text":"8 cm","textHi":null,"imageUrl":null},{"key":"d","text":"9 cm","textHi":null,"imageUrl":null}],"correct":"a","sol":"Centroid divides 2 : 1\n $\"figure\"/$ \nThe centroid divides every median in the ratio 2 : 1 from the vertex.\nSo PS is made of 3 equal parts and PO takes 2 of them.\nPO =

\frac{2}{3}

× 15.\n= 10 cm — option (a).","solHi":" $\"figure\"/$ \nकेंद्रक हर माध्यिका को शीर्ष से 2 : 1 में बाँटता है।\nअतः PS तीन बराबर भागों का है और PO उनमें से 2 भाग लेता है।\nPO =

\frac{2}{3}

× 15।\n= 10 cm — विकल्प (a)।","pos":2,"neg":0.5},{"id":570,"n":70,"subject":"Quantitative Aptitude","stem":"Two right-angled triangular blocks, PQR and XYZ, have ∠Q = ∠Y = 90°. If the lengths of the hypotenuses PR and XZ are equal, and the sides PQ and XY are equal, are the triangles congruent? If so, by what rule?","stemHi":"दो समकोण त्रिभुजाकार ब्लॉक PQR और XYZ में ∠Q = ∠Y = 90° है। यदि कर्ण PR और XZ बराबर हैं तथा भुजाएँ PQ और XY बराबर हैं, तो क्या त्रिभुज सर्वांगसम हैं? यदि हाँ, तो किस नियम से?","context":null,"contextHi":null,"options":[{"key":"a","text":"Yes, by RHS","textHi":"हाँ, RHS से","imageUrl":null},{"key":"b","text":"Yes, by SAS","textHi":"हाँ, SAS से","imageUrl":null},{"key":"c","text":"Yes, by SSS","textHi":"हाँ, SSS से","imageUrl":null},{"key":"d","text":"Yes, by ASA","textHi":"हाँ, ASA से","imageUrl":null}],"correct":"a","sol":"Congruence — RHS\nBoth triangles have a right angle, an equal hypotenuse and one equal side.\nThat is exactly the Right angle–Hypotenuse–Side condition.\nBy Pythagoras the third sides must then match too.\nCongruent by RHS — option (a).","solHi":"दोनों त्रिभुजों में एक समकोण, बराबर कर्ण और एक बराबर भुजा है।\nयही समकोण-कर्ण-भुजा (RHS) की शर्त है।\nपाइथागोरस से तीसरी भुजाएँ भी बराबर निकलती हैं।\nRHS से सर्वांगसम — विकल्प (a)।","pos":2,"neg":0.5},{"id":571,"n":71,"subject":"Quantitative Aptitude","stem":"A right triangle ABC is inscribed in a circle with a diameter of 26 cm. An altitude BD is drawn from the vertex B to the hypotenuse AC. If the length of the side AB is 10 cm, what is the length of the segment AD?","stemHi":"एक समकोण त्रिभुज ABC एक वृत्त में अंकित है जिसका व्यास 26 cm है। शीर्ष B से कर्ण AC पर लंब BD डाला गया है। यदि भुजा AB की लंबाई 10 cm है, तो खंड AD की लंबाई क्या है?","context":null,"contextHi":null,"options":[{"key":"a","text":"3.8 cm","textHi":null,"imageUrl":null},{"key":"b","text":"3 cm","textHi":null,"imageUrl":null},{"key":"c","text":"5.2 cm","textHi":null,"imageUrl":null},{"key":"d","text":"4 cm","textHi":null,"imageUrl":null}],"correct":"a","sol":"Altitude on hypotenuse\n $\"figure\"/$ \nThe hypotenuse AC is the diameter = 26 cm (angle in a semicircle is 90°).\nGeometric-mean relation: AB² = AD × AC.\n100 = AD × 26 ⇒ AD =

\frac{100}{26}

≈ 3.85.\n≈ 3.8 cm — option (a).","solHi":" $\"figure\"/$ \nकर्ण AC वृत्त का व्यास = 26 cm है (अर्धवृत्त में कोण 90°)।\nज्यामितीय माध्य संबंध: AB² = AD × AC।\n100 = AD × 26 ⇒ AD =

\frac{100}{26}

≈ 3.85।\n≈ 3.8 cm — विकल्प (a)।","pos":2,"neg":0.5},{"id":572,"n":72,"subject":"Quantitative Aptitude","stem":"Two circles touch each other externally. Which of the following statements is true?","stemHi":"दो वृत्त एक-दूसरे को बाह्यतः स्पर्श करते हैं। निम्न में से कौन-सा कथन सत्य है?","context":null,"contextHi":null,"options":[{"key":"a","text":"There are three common tangents to the circles","textHi":"वृत्तों की तीन उभयनिष्ठ स्पर्श रेखाएँ हैं","imageUrl":null},{"key":"b","text":"There are two common tangents to the circles","textHi":"वृत्तों की दो उभयनिष्ठ स्पर्श रेखाएँ हैं","imageUrl":null},{"key":"c","text":"There are four common tangents to the circles","textHi":"वृत्तों की चार उभयनिष्ठ स्पर्श रेखाएँ हैं","imageUrl":null},{"key":"d","text":"There is only one common tangent to the circles","textHi":"वृत्तों की केवल एक उभयनिष्ठ स्पर्श रेखा है","imageUrl":null}],"correct":"a","sol":"Tangents — touching circles\n $\"figure\"/$ \nExternally touching circles have two DIRECT common tangents.\nAt the point of contact there is one more common tangent.\nTotal = 2 + 1 = 3.\nHence option (a).","solHi":" $\"figure\"/$ \nबाह्यतः स्पर्श करते वृत्तों की दो अनुप्रस्थ उभयनिष्ठ स्पर्श रेखाएँ होती हैं।\nस्पर्श-बिंदु पर एक और उभयनिष्ठ स्पर्श रेखा होती है।\nकुल = 2 + 1 = 3।\nअतः विकल्प (a)।","pos":2,"neg":0.5},{"id":573,"n":73,"subject":"Quantitative Aptitude","stem":"Two circles with radii R and r touch each other externally. If the length of their direct common tangent is D, which of the following is the correct relationship between D, R, and r?","stemHi":"R और r त्रिज्या वाले दो वृत्त बाह्यतः स्पर्श करते हैं। यदि उनकी अनुप्रस्थ उभयनिष्ठ स्पर्श रेखा की लंबाई D है, तो D, R और r में सही संबंध कौन-सा है?","context":null,"contextHi":null,"options":[{"key":"a","text":"D = R + r","textHi":null,"imageUrl":null},{"key":"b","text":"D = 2(R + r)","textHi":null,"imageUrl":null},{"key":"c","text":"D = 2

\sqrt{Rr}

","textHi":null,"imageUrl":null},{"key":"d","text":"D = R² + r²","textHi":null,"imageUrl":null}],"correct":"c","sol":"Tangent of touching circles\nFor a direct common tangent: D² = d² − (R − r)², where d is the distance between centres.\nTouching externally means d = R + r.\nD² = (R + r)² − (R − r)² = 4Rr.\nD = 2

\sqrt{Rr}

— option (c).","solHi":"अनुप्रस्थ उभयनिष्ठ स्पर्श रेखा हेतु: D² = d² − (R − r)², जहाँ d केंद्रों की दूरी है।\nबाह्यतः स्पर्श का अर्थ d = R + r।\nD² = (R + r)² − (R − r)² = 4Rr।\nD = 2

\sqrt{Rr}

— विकल्प (c)।","pos":2,"neg":0.5},{"id":574,"n":74,"subject":"Quantitative Aptitude","stem":"A chord of a circle has a length of 10 cm. The angle subtended by the chord at a point on the circumference is 30°. What is the distance from the center of the circle to the chord?","stemHi":"एक वृत्त की जीवा की लंबाई 10 cm है। यह जीवा परिधि के किसी बिंदु पर 30° का कोण अंतरित करती है। वृत्त के केंद्र से जीवा की दूरी क्या है?","context":null,"contextHi":null,"options":[{"key":"a","text":"5

\sqrt{3}

cm","textHi":null,"imageUrl":null},{"key":"b","text":"3

\sqrt{3}

cm","textHi":null,"imageUrl":null},{"key":"c","text":"5 cm","textHi":null,"imageUrl":null},{"key":"d","text":"3 cm","textHi":null,"imageUrl":null}],"correct":"a","sol":"Chord — distance from centre\n $\"figure\"/$ \nAngle at the centre = 2 × angle at the circumference = 60°.\nThe perpendicular from O bisects both the chord and the central angle, giving a right triangle with half-chord 5 and angle 30° at O.\ntan60° at the other vertex:

\sqrt{3}

\frac{OP}{5}

⇒ OP = 5

\sqrt{3}

.\nDistance = 5

\sqrt{3}

cm — option (a).","solHi":" $\"figure\"/$ \nकेंद्र पर कोण = परिधि पर कोण का दोगुना = 60°।\nO से लंब जीवा और केंद्रीय कोण दोनों को समद्विभाजित करता है, जिससे आधी जीवा 5 और O पर 30° का समकोण त्रिभुज बनता है।\nदूसरे शीर्ष पर tan60°:

\sqrt{3}

\frac{OP}{5}

⇒ OP = 5

\sqrt{3}

।\nदूरी = 5

\sqrt{3}

cm — विकल्प (a)।","pos":2,"neg":0.5},{"id":575,"n":75,"subject":"Quantitative Aptitude","stem":"What is the area of the segment formed by a chord in a circle of radius 4 cm, if the angle subtended at the center is 60°?","stemHi":"4 cm त्रिज्या वाले वृत्त में एक जीवा केंद्र पर 60° का कोण अंतरित करती है। उससे बने वृत्तखंड का क्षेत्रफल क्या है?","context":null,"contextHi":null,"options":[{"key":"a","text":"(

\frac{8 π}{3}

) − 4

\sqrt{3}

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

\frac{16 π}{3}

) − 4

\sqrt{3}

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

\frac{8 π}{3}

) − 8

\sqrt{3}

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

\frac{16 π}{3}

) − 8

\sqrt{3}

","textHi":null,"imageUrl":null}],"correct":"a","sol":"$2d","solHi":"$2e","pos":2,"neg":0.5},{"id":576,"n":76,"subject":"English Comprehension","stem":"Choose the one-word substitute for the below sentence.\nThe text was written in a secret code to hide its meaning.","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"Cipher","textHi":null,"imageUrl":null},{"key":"b","text":"Epistle","textHi":null,"imageUrl":null},{"key":"c","text":"Diatribe","textHi":null,"imageUrl":null},{"key":"d","text":"Manuscript","textHi":null,"imageUrl":null}],"correct":"a","sol":"One-word — Cipher\nA 'cipher' is a secret method of writing — a code that hides meaning.\nAn epistle is a letter; a diatribe is a bitter verbal attack.\nA manuscript is simply a hand-written or unpublished document.\nHence option (a).","solHi":null,"pos":2,"neg":0.5},{"id":577,"n":77,"subject":"English Comprehension","stem":"Choose the correct one-word substitute for:\nAn official pardon for people who have been convicted of political offences.","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"Amnesty","textHi":null,"imageUrl":null},{"key":"b","text":"Reprieve","textHi":null,"imageUrl":null},{"key":"c","text":"Mercy","textHi":null,"imageUrl":null},{"key":"d","text":"Parole","textHi":null,"imageUrl":null}],"correct":"a","sol":"One-word — Amnesty\n'Amnesty' is exactly an official pardon granted to people convicted of political offences.\nA reprieve only postpones or cancels a punishment, especially a death sentence.\nMercy is general compassion; parole is early release under conditions.\nHence option (a).","solHi":null,"pos":2,"neg":0.5},{"id":578,"n":78,"subject":"English Comprehension","stem":"Choose the correct phrasal verb:\nInvestors tend to ____ high-risk stocks.","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"brush over","textHi":null,"imageUrl":null},{"key":"b","text":"lean towards","textHi":null,"imageUrl":null},{"key":"c","text":"shy away from","textHi":null,"imageUrl":null},{"key":"d","text":"walk into","textHi":null,"imageUrl":null}],"correct":"c","sol":"Phrasal verb — shy away from\n'Shy away from' means to avoid something one finds difficult or risky.\nInvestors typically AVOID high-risk stocks, so this fits.\n'Brush over' means to treat superficially; 'walk into' means to enter or fall into.\nHence option (c).","solHi":null,"pos":2,"neg":0.5},{"id":579,"n":79,"subject":"English Comprehension","stem":"Select the most appropriate synonym of the given word:\nExplain","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"Confuse","textHi":null,"imageUrl":null},{"key":"b","text":"Illuminate","textHi":null,"imageUrl":null},{"key":"c","text":"Destroy","textHi":null,"imageUrl":null},{"key":"d","text":"Darken","textHi":null,"imageUrl":null}],"correct":"b","sol":"Synonym — Explain\nTo 'explain' is to make an idea or situation clear.\n'Illuminate' also means to make something clear or easy to understand.\nConfuse and darken mean the opposite; destroy is unrelated.\nHence option (b).","solHi":null,"pos":2,"neg":0.5},{"id":580,"n":80,"subject":"English Comprehension","stem":"Select the most appropriate antonym of the given word.\nAgree","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"Allow","textHi":null,"imageUrl":null},{"key":"b","text":"Demur","textHi":null,"imageUrl":null},{"key":"c","text":"Accept","textHi":null,"imageUrl":null},{"key":"d","text":"Concur","textHi":null,"imageUrl":null}],"correct":"b","sol":"Antonym — Agree\n'Agree' means to have the same opinion or to consent.\n'Demur' means to raise objections or hesitate — the true opposite.\nAccept and concur are synonyms of agree; allow means to permit.\nHence option (b).","solHi":null,"pos":2,"neg":0.5},{"id":581,"n":81,"subject":"English Comprehension","stem":"Choose the idiom that means:\nTo admit you were wrong and apologise","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"Eat a humble pie","textHi":null,"imageUrl":null},{"key":"b","text":"Eat like a horse","textHi":null,"imageUrl":null},{"key":"c","text":"Piece of cake","textHi":null,"imageUrl":null},{"key":"d","text":"Icing on the cake","textHi":null,"imageUrl":null}],"correct":"a","sol":"Idiom — eat humble pie\n'To eat humble pie' means to admit one's mistake and apologise.\n'Eat like a horse' = eat a lot; 'a piece of cake' = very easy.\n'Icing on the cake' = an extra benefit on top of something good.\nHence option (a).","solHi":null,"pos":2,"neg":0.5},{"id":582,"n":82,"subject":"English Comprehension","stem":"Select the most appropriate antonym of the bracketed word to complete the sentence.\nShe was ____ (zany) enough to stop driving when she got too tired.","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"Sensible","textHi":null,"imageUrl":null},{"key":"b","text":"Strange","textHi":null,"imageUrl":null},{"key":"c","text":"Clownish","textHi":null,"imageUrl":null},{"key":"d","text":"Eccentric","textHi":null,"imageUrl":null}],"correct":"a","sol":"Antonym — zany\n'Zany' means foolish, eccentric or clownish.\nIts antonym is SENSIBLE — showing good judgment.\nThe sentence itself describes a wise decision, which confirms the fit.\nHence option (a).","solHi":null,"pos":2,"neg":0.5},{"id":583,"n":83,"subject":"English Comprehension","stem":"Choose the correct spelling.","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"Metaficsion","textHi":null,"imageUrl":null},{"key":"b","text":"Meteorighte","textHi":null,"imageUrl":null},{"key":"c","text":"Meteorology","textHi":null,"imageUrl":null},{"key":"d","text":"Metear","textHi":null,"imageUrl":null}],"correct":"c","sol":"Correct spelling\n'Meteorology' — the science of weather — is spelt correctly.\nThe others should be 'Metafiction', 'Meteorite' and 'Meteor'.\nOnly option (c) needs no correction.\nHence option (c).","solHi":null,"pos":2,"neg":0.5},{"id":584,"n":84,"subject":"English Comprehension","stem":"Select the correct option.\nThe artist was praised for the ____ of her work.","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"meticulousness","textHi":null,"imageUrl":null},{"key":"b","text":"bravery","textHi":null,"imageUrl":null},{"key":"c","text":"validity","textHi":null,"imageUrl":null},{"key":"d","text":"severity","textHi":null,"imageUrl":null}],"correct":"a","sol":"Vocabulary — meticulousness\n'Meticulousness' is the quality of being very careful about every detail.\nThat is exactly what an artist is praised for in her work.\nBravery, validity and severity do not fit the context.\nHence option (a).","solHi":null,"pos":2,"neg":0.5},{"id":585,"n":85,"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.\nThe committee has postponed (1)/ the announcement until (2)/ further informations is received (3)/ from the regional offices. (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":"Error — uncountable noun\nNouns like information, furniture, scenery, work and cattle are uncountable — they take no plural -s.\nSo 'informations' is wrong; it must be 'information'.\nCorrect: 'until further information is received'.\nHence option (c).","solHi":null,"pos":2,"neg":0.5},{"id":586,"n":86,"subject":"English Comprehension","stem":"Select the option that expresses the given sentence in the Active/Passive voice.\nThe researchers had conducted the experiment with utmost precision.","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"The experiment is conducted with utmost precision by the researchers.","textHi":null,"imageUrl":null},{"key":"b","text":"The experiment was being conducted with utmost precision by the researchers.","textHi":null,"imageUrl":null},{"key":"c","text":"The experiment had been conducted with utmost precision by the researchers.","textHi":null,"imageUrl":null},{"key":"d","text":"The experiment will be conducted with utmost precision by the researchers.","textHi":null,"imageUrl":null}],"correct":"c","sol":"Active → passive (past perfect)\n'Had conducted' is past perfect active.\nIts passive is had been + past participle.\n(a) shifts to present, (b) to past continuous, (d) to future.\nHence option (c).","solHi":null,"pos":2,"neg":0.5},{"id":587,"n":87,"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.\nNeither the scientists nor the research team (1)/ were willing to compromise (2)/ on the accuracy of the findings (3)/ despite external pressure. (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":"b","sol":"Error — neither…nor\nWith 'neither…nor' the verb agrees with the subject NEAREST to it.\nHere the nearer subject is 'the research team' — singular.\nSo 'were' must become 'was willing to compromise'.\nHence option (b).","solHi":null,"pos":2,"neg":0.5},{"id":588,"n":88,"subject":"English Comprehension","stem":"Select the sentence containing the homonym of the given word.\nWord: Vault\nMeaning: a large room or chamber used for storage, especially an underground one.","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"The jeweler stored the diamonds in a fireproof vault.","textHi":null,"imageUrl":null},{"key":"b","text":"The athlete managed to vault over the high hurdle.","textHi":null,"imageUrl":null},{"key":"c","text":"The museum's underground vault contained ancient scrolls.","textHi":null,"imageUrl":null},{"key":"d","text":"They reinforced the walls of the treasure vault with concrete.","textHi":null,"imageUrl":null}],"correct":"b","sol":"Homonym — vault\nThe given meaning is the noun — a strong storage chamber.\nA homonym uses the same word in a DIFFERENT sense.\nIn (b) 'vault' is a verb meaning to leap over something; (a), (c) and (d) keep the storage meaning.\nHence option (b).","solHi":null,"pos":2,"neg":0.5},{"id":589,"n":89,"subject":"English Comprehension","stem":"Select the option that expresses the given sentence in the Active/Passive voice.\nThe final report was approved by the committee after several revisions.","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"The committee has approved the final report after several revisions.","textHi":null,"imageUrl":null},{"key":"b","text":"The committee approved the final report after several revisions.","textHi":null,"imageUrl":null},{"key":"c","text":"The committee is approving the final report after several revisions.","textHi":null,"imageUrl":null},{"key":"d","text":"The committee approves the final report after several revisions.","textHi":null,"imageUrl":null}],"correct":"b","sol":"Passive → active\n'Was approved' is simple past passive.\nThe active form must stay in the simple past: approved.\n(a) uses present perfect, (c) present continuous, (d) simple present.\nHence option (b).","solHi":null,"pos":2,"neg":0.5},{"id":590,"n":90,"subject":"English Comprehension","stem":"What is the central idea of the passage?","stemHi":null,"context":"$2f","contextHi":null,"options":[{"key":"a","text":"Artificial intelligence enhances human freedom.","textHi":null,"imageUrl":null},{"key":"b","text":"Algorithms have made decision-making more objective.","textHi":null,"imageUrl":null},{"key":"c","text":"Digital systems subtly influence human perception and autonomy.","textHi":null,"imageUrl":null},{"key":"d","text":"The internet is an entirely neutral platform for expression.","textHi":null,"imageUrl":null}],"correct":"c","sol":"RC — central idea\nThe passage argues that algorithms increasingly dictate perception and thin the line between autonomy and automation.\nRecommendation engines quietly curate thought while appearing neutral.\nSo the core idea is the subtle influence of digital systems on perception and autonomy.\nHence option (c).","solHi":null,"pos":2,"neg":0.5},{"id":591,"n":91,"subject":"English Comprehension","stem":"The phrase "illusion of choice" suggests that -","stemHi":null,"context":"$30","contextHi":null,"options":[{"key":"a","text":"users have unlimited freedom online.","textHi":null,"imageUrl":null},{"key":"b","text":"online options appear diverse but are algorithmically curated.","textHi":null,"imageUrl":null},{"key":"c","text":"individuals consciously control digital algorithms.","textHi":null,"imageUrl":null},{"key":"d","text":"personalization eliminates manipulation.","textHi":null,"imageUrl":null}],"correct":"b","sol":"RC — 'illusion of choice'\nThe passage says the illusion of choice is sustained by the abundance of content.\nThat abundance conceals a subtle curation of thought by recommendation engines.\nSo the options only LOOK diverse — they are algorithmically selected.\nHence option (b).","solHi":null,"pos":2,"neg":0.5},{"id":592,"n":92,"subject":"English Comprehension","stem":"What does the author imply about artificial intelligence ethics?","stemHi":null,"context":"$31","contextHi":null,"options":[{"key":"a","text":"It fully resolves issues of bias.","textHi":null,"imageUrl":null},{"key":"b","text":"It evolves faster than innovation.","textHi":null,"imageUrl":null},{"key":"c","text":"It mirrors existing human flaws.","textHi":null,"imageUrl":null},{"key":"d","text":"It prevents algorithmic manipulation.","textHi":null,"imageUrl":null}],"correct":"c","sol":"RC — AI ethics\nThe passage says AI inherits the biases of its creators and of the data it consumes.\nIt replicates not just human intelligence but human prejudice.\nAlso, the language of digital ethics struggles to keep pace with innovation.\nSo AI mirrors human flaws — option (c).","solHi":null,"pos":2,"neg":0.5},{"id":593,"n":93,"subject":"English Comprehension","stem":"Which of the following best explains the paradox mentioned in the passage?","stemHi":null,"context":"$32","contextHi":null,"options":[{"key":"a","text":"Technology isolates and empowers simultaneously.","textHi":null,"imageUrl":null},{"key":"b","text":"Algorithms are neutral and self-correcting.","textHi":null,"imageUrl":null},{"key":"c","text":"Human desires cannot be predicted.","textHi":null,"imageUrl":null},{"key":"d","text":"Data has lost all ethical significance.","textHi":null,"imageUrl":null}],"correct":"a","sol":"RC — paradox\nThe stated paradox: never has humanity had such access to knowledge and connectivity, yet never been more vulnerable to manipulation.\nTechnology therefore empowers and endangers at the same time.\nThat double effect is exactly what option (a) captures.\nHence option (a).","solHi":null,"pos":2,"neg":0.5},{"id":594,"n":94,"subject":"English Comprehension","stem":"The author's tone in the passage can best be described as -","stemHi":null,"context":"$33","contextHi":null,"options":[{"key":"a","text":"Alarmist yet hopeful","textHi":null,"imageUrl":null},{"key":"b","text":"Indifferent and detached","textHi":null,"imageUrl":null},{"key":"c","text":"Sarcastic and mocking","textHi":null,"imageUrl":null},{"key":"d","text":"Celebratory and optimistic","textHi":null,"imageUrl":null}],"correct":"a","sol":"RC — tone\nThe author warns sharply about manipulation, commodified attention and algorithmic bias — an alarmed note.\nBut the closing call is constructive: rehumanize technology so progress serves human discernment.\nThat mix is best described as alarmist yet hopeful.\nHence option (a).","solHi":null,"pos":2,"neg":0.5},{"id":595,"n":95,"subject":"English Comprehension","stem":"Select the most appropriate option to substitute the underline/Bold segment in the given sentence.\nShe discussed about the issue with her manager.","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"discussed on the issue","textHi":null,"imageUrl":null},{"key":"b","text":"discussed the issue","textHi":null,"imageUrl":null},{"key":"c","text":"had discussed about the issue","textHi":null,"imageUrl":null},{"key":"d","text":"was discussed the issue","textHi":null,"imageUrl":null}],"correct":"b","sol":"discuss (transitive)\n'Discuss' is a transitive verb — it takes a direct object with NO preposition.\nSo 'about' must be dropped: discussed the issue.\nOptions (a), (c) and (d) keep a wrong preposition or voice.\nHence option (b).","solHi":null,"pos":2,"neg":0.5},{"id":596,"n":96,"subject":"English Comprehension","stem":"Select the correct indirect/direct form of the given sentence.\nHe said that he had never been to Japan before that trip.","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"He said, "I have never been to Japan before this trip."","textHi":null,"imageUrl":null},{"key":"b","text":"He said, "I had never been to Japan before that trip."","textHi":null,"imageUrl":null},{"key":"c","text":"He said, "I never went to Japan before that trip."","textHi":null,"imageUrl":null},{"key":"d","text":"He said, "I have not gone to Japan before that trip."","textHi":null,"imageUrl":null}],"correct":"a","sol":"Indirect → direct\nReverse the backshift: reported past perfect comes from the present perfect.\n'Had never been' → 'have never been'; 'that trip' → 'this trip'.\nDirect: He said, "I have never been to Japan before this trip." ✓\nHence option (a).","solHi":null,"pos":2,"neg":0.5},{"id":597,"n":97,"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. These systems can identify spoken words and phrases and convert them into written text.\n2. Speech recognition technology enables machines to interpret and process human language.\n3. With the help of machine learning algorithms, accuracy improves as the system is exposed to more data.\n4. Applications like voice assistants and automated transcription tools rely heavily on this technology.","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"2, 1, 3, 4","textHi":null,"imageUrl":null},{"key":"b","text":"2, 4, 1, 3","textHi":null,"imageUrl":null},{"key":"c","text":"1, 2, 3, 4","textHi":null,"imageUrl":null},{"key":"d","text":"4, 3, 2, 1","textHi":null,"imageUrl":null}],"correct":"a","sol":"Para jumble — speech recognition\nSentence 2 introduces speech recognition technology — the opener.\nSentence 1 ('These systems…') explains how it works.\nSentence 3 adds how accuracy improves, and sentence 4 closes with applications.\nOrder 2-1-3-4 — option (a).","solHi":null,"pos":2,"neg":0.5},{"id":598,"n":98,"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. Renewable energy sources such as solar and wind power are being developed to reduce dependence on fossil fuels.\n2. These sources are cleaner and help mitigate the effects of climate change.\n3. The growing global demand for energy has led to environmental concerns about sustainability.\n4. Transitioning to renewables requires investment in technology and supportive government policies.","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"3, 1, 2, 4","textHi":null,"imageUrl":null},{"key":"b","text":"1, 3, 2, 4","textHi":null,"imageUrl":null},{"key":"c","text":"3, 2, 1, 4","textHi":null,"imageUrl":null},{"key":"d","text":"2, 4, 3, 1","textHi":null,"imageUrl":null}],"correct":"a","sol":"Para jumble — renewables\nSentence 3 sets up the problem — rising demand and sustainability concerns.\nSentence 1 offers the response: developing renewables.\nSentence 2 ('These sources…') describes their benefit, and sentence 4 states what the transition needs.\nOrder 3-1-2-4 — option (a).","solHi":null,"pos":2,"neg":0.5},{"id":599,"n":99,"subject":"English Comprehension","stem":"Select the most appropriate option to substitute the underline/Bold segment in the given sentence.\nEither the committee members or the chairperson have agreed to the proposal.","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"have agreed","textHi":null,"imageUrl":null},{"key":"b","text":"has agreed","textHi":null,"imageUrl":null},{"key":"c","text":"are agreeing","textHi":null,"imageUrl":null},{"key":"d","text":"were agreed","textHi":null,"imageUrl":null}],"correct":"b","sol":"Either…or agreement\nWith 'either…or' the verb agrees with the nearer subject.\nThe nearer subject is 'the chairperson' — singular.\nSo it must be 'has agreed'.\nHence option (b).","solHi":null,"pos":2,"neg":0.5},{"id":600,"n":100,"subject":"English Comprehension","stem":"Select the correct indirect/direct form of the given sentence.\nThey said, "We have completed the project successfully."","stemHi":null,"context":null,"contextHi":null,"options":[{"key":"a","text":"They said that they completed the project successfully.","textHi":null,"imageUrl":null},{"key":"b","text":"They said that they have completed the project successfully.","textHi":null,"imageUrl":null},{"key":"c","text":"They said that they had completed the project successfully.","textHi":null,"imageUrl":null},{"key":"d","text":"They said that they would complete the project successfully.","textHi":null,"imageUrl":null}],"correct":"c","sol":"Direct → indirect (perfect)\nPresent perfect in direct speech backshifts to past perfect in reported speech.\n'Have completed' → 'had completed'; 'we' → 'they'.\n(a) drops the perfect aspect, (b) keeps the present, (d) changes the meaning.\nHence option (c).","solHi":null,"pos":2,"neg":0.5}],"test":{"slug":"ssc-cgl-tier-1--16-sep-2025-shift-1","title":"SSC CGL Tier-1 16 September 2025 Shift-1 Previous Year Paper","examName":"CGL Tier 1","paperLabel":"16 September 2025 · Shift 1","sectionSubject":null,"durationMinutes":60,"format":"full_test"}}]