UPSC CAPF AC 2025 Paper 1 · Question 62

Question 62 of the UPSC CAPF (AC) 2025 Paper I (3 August 2025). Try it first, then open the answer and explanation.

1. CAPF 2025 · P-I · Q62 · General Mental Ability · Reasoning

   A clock is set right at 8:00 AM in the morning. The minute hand and the hour hand of the clock come together after every 65 minutes. What is the actual time when the clock shows 8:00 PM, approximated to the nearest minutes?

   1. 8:05 PM
   2. 8:00 PM
   3. 7:55 PM
   4. 8:02 PM

   एक घड़ी को सुबह ठीक 8:00 AM पर सेट किया जाता है। घड़ी की मिनट की सुई और घंटे की सुई प्रत्येक 65 मिनट के बाद एक साथ आती हैं। जब घड़ी 8:00 PM दर्शाती है, तो निकटतम मिनट के अनुसार वास्तविक समय क्या है?

   1. 8:05 PM
   2. 8:00 PM
   3. 7:55 PM
   4. 8:02 PM
   Show answer

   Answer: (3) 7:55 PM

   उत्तर: (3) 7:55 PM

   On a correct clock the hands meet every 720/11 = 65 5/11 minutes, so a clock whose hands meet every 65 (real) minutes runs fast: it shows 65 5/11 min in 65 real minutes. When it shows 12 hours (720 min), the real time elapsed is 720 × 65 ÷ (720/11) = 715 min = 11 h 55 min, so the actual time is 7:55 PM. One source reports UPSC's final key as (a).

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