किसी घड़ी में (एक ही दिन) 10:00 a.m. और 2:00 p.m. के बीच में घंटे की सुई और मिनट की सुई कितनी बार संपाती होती हैं?
Read this question in English
How many times the hour hand and the minute hand coincide in a clock between 10:00 a.m. and 2:00 p.m. (same day)?
(a) 3 times · (b) 4 times · (c) 5 times · (d) 6 times
उत्तर और व्याख्या · explanation in English
Answer: (a) 3 बार
The hands coincide once every 12/11 hours, and in this window that happens at about 10:54:33, 12:00 and 1:05:27. There is no separate meeting in the 11 o’clock hour, because the meeting after 11 falls exactly at 12:00.
- The hands coincide every 12/11 hours = 65 5/11 minutes, counting from 12:00.
- Working back and forward from 12:00: 10:54 6/11, 12:00 and 1:05 5/11; the next one, 2:10 10/11, is after 2:00 p.m.
- So the hands coincide 3 times between 10:00 a.m. and 2:00 p.m.
- Check: the hands meet only 11 times in 12 hours, so one hour-slot (11 to 12) has no meeting of its own.
Remember · Hands coincide 11 times in 12 hours; the meetings of the 11 o’clock and 12 o’clock hours are the same one, at 12:00.
Question and answer: UPSC's official GS Paper II (2024, Series A) — paper ↗ · answer key ↗. Explanation: Minimalist IAS, checked 30 Sept 2026 (how we verify). ·