How many times do the hour hand and the minute hand of a clock coincide between 6:00 a.m. and 6:00 p.m. on the same day?

A. 12

B. 10

C. 22

D. 11

Doubtly AI Asked 27 Oct 2026 AI-generated · not yet verified ssc cpo Save WhatsApp Report

1 answer

Best answer

Answer: D. 11

Answer: (D) 11

The hands coincide every \(\frac{720}{11} = 65\frac{5}{11}\) minutes, i.e. 11 times in any 12 hours. At 6:00 they are opposite (not together), and the 11 meetings fall at about 6:33, 7:38, 8:44, 9:49, 10:55, 12:00 noon, 1:05, 2:11, 3:16, 4:22 and 5:27. So the answer is 11 (12 would wrongly count a meeting at 6:00).

Doubtly AI · 27 Oct 2026 AI-generated · not yet verified Report

Was this answer helpful?

How many times do the hour hand and the minute hand of a clock coincide between 6:00 a.m. and 6:00 p.m. on the same day?

1 answer

Your answer