Explanation: The passage argues that democracy rests on 'twin pillars' of both political freedom AND social equality. It explicitly states that without social equality, constitutional rights become 'hollow' — making option C the central argument.

Explanation: The passage explicitly states that democracy's health is measured 'not merely by the regularity of elections, but by the quality of participation, the freedom of press, and the depth of civil liberties enjoyed by its most marginalised citizens.'

Explanation: The passage states: 'without social equality, the formal rights guaranteed by the constitution remain hollow for large sections of society.' This directly implies constitutional rights become meaningless in the absence of social equality.

Explanation: The author adopts an analytical (examining components of democracy) and prescriptive (suggesting what democracy must include) tone. The tone is not pessimistic, celebratory, or merely neutral.

Explanation: The paradox is that cities are engines of economic growth (generating wealth, contributing to GDP) yet fail to distribute this wealth equitably — millions live in slums without basic amenities despite building the city.

Explanation: The passage explicitly states: 'The challenge of urbanisation, therefore, is not to slow it down but to make it inclusive — to ensure that the benefits of urban productivity reach those who build the city with their labour but live on its margins.'

Explanation: The phrase describes the urban poor and informal sector workers who contribute their labour to the city's economic productivity (literally building and maintaining the city) yet live in marginalised conditions in slums.

Explanation: The passage explicitly states the challenge is NOT that machines are becoming conscious. The challenge is that AI makes consequential decisions (loans, law enforcement, recruitment) reproducing historical bias at scale, with speed and opacity.

Explanation: The passage states: 'These systems are trained on historical data, and history is replete with bias. An AI that learns from biased data will reproduce and potentially amplify that bias at scale.' The root cause is biased historical training data.

Explanation: The passage concludes: 'The ethical imperative, therefore, is not to stop AI but to build it responsibly — with transparency, accountability, and mechanisms to audit and correct its outcomes.'

Explanation: 'Opacity' means lack of transparency. In the context of the passage, it refers to the lack of transparency and explainability in AI decision-making — the fact that AI decisions are often not understandable or auditable.

Explanation: A 'crisis of justice' implies an unfair distribution of burdens and benefits. Those who contributed least (poor nations) face the worst impacts, while those who contributed most (wealthy nations) are better insulated. This is the justice dimension.

Explanation: CBDR is a key principle in international climate negotiations: all nations share the COMMON responsibility, but their obligations DIFFER based on historical contributions and respective capabilities. Hence 'common but differentiated'.

Explanation: The passage states: 'Without this recognition of historical equity, climate agreements risk being technically sound but politically unstable.' They may be scientifically well-designed but will lack political legitimacy for sustained implementation.

Explanation: Each letter is shifted by +2 in the alphabet. E+2=G, R+2=T, A+2=C, S+2=U, E+2=G, R+2=T. So ERASER = GTCUGT.

Explanation: From 'all Blips are Blops' and 'some Blops are Bleeps', we cannot definitively say any Blips are Bleeps (the Bleeps could be Blops that are NOT Blips). Either some Blips are Bleeps, or none are — one must be true.

Explanation: At 3:00, hour hand is at 90°. In 15 minutes, hour hand moves 15 × 0.5° = 7.5°. At 3:15, hour hand is at 97.5°. Minute hand is at 90° (15-minute mark). Angle = 97.5° − 90° = 7.5°.

Explanation: The differences are: 4, 6, 8, 10... (increasing by 2). So the next difference is 12. 30 + 12 = 42. Alternatively, the series is n(n+1): 1×2, 2×3, 3×4, 4×5, 5×6, 6×7=42.

Explanation: If B is at position 3 and B is immediately to the right of A, then A must be at position 2 (immediately to B's left).

Explanation: Conclusion I does NOT follow — both being animals doesn't make cats dogs. Conclusion II DOES follow — since all cats are animals, it is true that some animals are cats.

Explanation: 5 km North + 5 km South = 0 net N-S. 3 km East + 3 km West = 0 net E-W. The man ends up exactly at his starting point.

Explanation: A is B's father. D is A's father (B's grandfather). E is D's son — but E is NOT A. So E is A's brother, therefore B's uncle.

Explanation: D=6, I=3, N=5, E=4, R=2. DINER = 6,3,5,4,2 = 63542.

Explanation: Speed A→B = 60 km/h. Speed B→A = 40 km/h. Time B→A = 3 hours. Total distance = 240 km. Total time = 5 hours. Average speed = 240/5 = 48 km/h.

Explanation: All pens are books; some books are tables — but the books that are tables may or may not include any pens. In strict syllogistic logic, 'Some pens are tables' does NOT definitely follow.

Explanation: Total = Position from left + Position from right − 1 = 8 + 14 − 1 = 21.

Explanation: Day before yesterday = Thursday. Yesterday = Friday. Today = Saturday. Tomorrow = Sunday. Three days after tomorrow = Wednesday.

Explanation: 'All but 9 die' means 9 survive. The phrase 'all but 9' means 'all except 9'. So 9 sheep are left.

Explanation: Laconic means using very few words; brief in speech. Its antonym is 'Verbose' — using more words than necessary. Taciturn also means habitually silent, which is similar to laconic, not opposite.

Explanation: R is S's son. Q is R's sister, so Q is also S's child. P is Q's brother, so P is also S's child. Since P is male (brother), P is S's son.

Explanation: Let numbers be x, x+2, x+4. Sum = 3x+6 = 78. 3x = 72. x = 24. Three numbers: 24, 26, 28. Largest = 28.

Explanation: From 'Some lawyers are criminals' and 'No honest person is a criminal', the lawyers who are criminals are NOT honest. Therefore, 'Some lawyers are not honest' follows logically.

Explanation: In 2 hours: A covers 6 km, B covers 10 km. Walking in opposite directions, total distance = 6 + 10 = 16 km.

Explanation: 25% of 400 = 100. 15% of 100 = 15.

Explanation: Let price = 100. After 20% increase: 120. After 20% decrease on 120: 120 × 0.8 = 96. Net change = -4%. Net decrease of 4%.

Explanation: If P doubles, SI = P. SI = P×R×T/100. P = P×R×8/100. R = 100/8 = 12.5% per annum.

Explanation: 2^x = 8 = 2^3, so x = 3. 4^x = 4^3 = 64.

Explanation: Sum of 5 numbers = 5 × 18 = 90. Sum of remaining 4 = 4 × 16 = 64. Removed number = 90 − 64 = 26.

Explanation: Circumference = 2πr = 44. r = 44/(2 × 22/7) = 7 cm. Area = πr² = (22/7) × 49 = 154 sq cm.

Explanation: Combined rate = 1/6 + 1/8 + 1/12 = 4/24 + 3/24 + 2/24 = 9/24 = 3/8 per hour. Time = 8/3 hours = 2 hours 40 minutes.

Explanation: Speed = 150/10 = 15 m/s. Converting: 15 × 18/5 = 54 km/h.

Explanation: x² + y² = (x+y)² − 2xy = 100 − 42 = 58.

Explanation: Girls = 10. Boys = (3/2) × 10 = 15. Total = 25.

Explanation: (1024)^(0.1+0.4) = (1024)^0.5 = √1024 = 32. (1024 = 2^10, so √1024 = 2^5 = 32.)

Explanation: Let CP = 100. MP = 125. After 20% discount: SP = 125 × 0.8 = 100. SP = CP, so 0% — break-even.

Explanation: Let numbers be 3x and 4x. LCM = 12x = 180. x = 15. Numbers are 45 and 60. HCF = 15.

Explanation: Hypotenuse² = 7² + 24² = 49 + 576 = 625. Hypotenuse = 25 cm. (7-24-25 Pythagorean triple)

Explanation: Savings = 20% of 12,000 = Rs. 2,400/month. Annual = Rs. 2,400 × 12 = Rs. 28,800.

Explanation: LCM of 8 and 12 = 24. From options: 48 = 24×2 (divisible by both). 36 is not divisible by 8; 32 is not divisible by 12; 60 is not divisible by 8.

Explanation: SI = P × R × T / 100 = 5000 × 8 × 3 / 100 = Rs. 1,200.

Explanation: Let CP per item = 1. CP of 12 items = 12. SP of 10 items = 12, so SP per item = 1.2. Profit% = (0.2/1.0) × 100 = 20%.

Explanation: State A: 37.5%. State B: (120-80)/80 × 100 = 50%. State C: 41.7%. State D: 37.5%. State E: 25%. State B shows the highest percentage increase of 50%.

Explanation: Total 2022 = 150 + 100 + 70 + 60 + 110 = 490 lakh tonnes.

Explanation: State C: 2020=60, 2021=55 (DECLINE from 60), 2022=70, 2023=85. State C declined in 2021.

Explanation: State E total: 100+105+110+125 = 440 lakh tonnes. Average = 440 ÷ 4 = 110 lakh tonnes.

Explanation: State A=570, State B=390, State C=270, State D=205, State E=440. State D has the lowest total (205 lakh tonnes).

Explanation: Education = 15% of Rs. 40,000 = Rs. 6,000.

Explanation: Food = 35% × 40,000 = Rs. 14,000. Rent = 25% × 40,000 = Rs. 10,000. Difference = Rs. 4,000.

Explanation: New income = 40,000 × 1.10 = Rs. 44,000. Savings = 10% of Rs. 44,000 = Rs. 4,400.

Explanation: Miscellaneous = 5%, Transport = 10%. Together = 15% of monthly income.

Explanation: Rent = 25% × 40,000 = Rs. 10,000. Savings = 10% × 40,000 = Rs. 4,000. Ratio = 10,000:4,000 = 5:2.

Explanation: Child safety is paramount. The appropriate response is to immediately order an independent technical inspection and defer the function until safety is confirmed. Other options are all inappropriate responses.

Explanation: The correct approach is to discreetly gather evidence and report through appropriate channels (anti-corruption authority, higher officials, or vigilance department). Going to media without evidence or threatening the senior are inappropriate.

Explanation: Emergency medical treatment is a fundamental right. Denying emergency care is both ethically wrong and legally indefensible. Provide immediate emergency treatment and simultaneously inform administration.

Explanation: An IAS officer has a constitutional duty to maintain integrity. The correct action is to formally object in writing (creating a paper trail) and escalate to appropriate oversight bodies (CVC, CAG, etc.).

Explanation: This calls for a balanced approach: enforce the law to prevent permanent forest damage, while also addressing the root cause of poverty. Engaging the community and exploring alternative livelihoods is the most sustainable and just approach.

Explanation: Government conduct rules prohibit accepting gifts above a nominal value from persons having official dealings with them. Even if the action was legal, accepting creates conflict of interest. Return and report as per gift acceptance rules.

Explanation: The engineer has a professional and legal responsibility to reject plans violating safety norms. The rejection must be in writing with specific technical reasons — this creates accountability and a proper record.

Explanation: When there is evidence of fraud affecting vulnerable populations, the official must act immediately — document evidence, ensure beneficiaries are protected, and report to appropriate anti-corruption authorities.

Explanation: No record, however good, justifies overlooking bribery. The rule of law requires an inquiry per prescribed procedures. The past record may be a mitigating factor in the outcome, but it does not excuse bypassing the inquiry process.

Explanation: Fill rate A = 1/4 per hour. Drain rate B = 1/6 per hour. Net drain rate = 1/6 − 1/4 = 2/12 − 3/12 = −1/12 per hour (net draining). Time to empty = 12 hours.

Explanation: The series is perfect squares: 1², 2², 3², 4², 5², 6², 7² = 49.

Explanation: Let breadth = b, length = 2b. Perimeter = 2(2b + b) = 6b = 60. b = 10 cm, length = 20 cm. Area = 20 × 10 = 200 sq cm.

Explanation: If B = 100, then A = 140. B is less than A by (140-100)/140 × 100 = 40/140 × 100 = 28.57%.

Explanation: Milk = 40 litres, Water = 20 litres. For ratio 1:2, water needed = 2×40 = 80 litres. Water to add = 80 − 20 = 60 litres.