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Marked key is 7 months (B present for 5 months), which fits capitals 45,000 and 54,000 for ratio 2 : 1 — not Rs 5400 as written.
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Every 2 minutes they fill 1/6. After 12 minutes the cistern is full. Answer: 12 min.
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Space diagonal = √(12² + 4² + 3²) = √169 = 13 m.
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Write numbers as 12a and 12b with gcd(a,b)=1 and 12a×12b=2160 ⇒ ab=15. Coprime pair (3,5) gives 36 and 60.
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Total votes = 1200; winner = 744.
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