Question
CSATEasyPrelims 2024Maths

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)?

Explanation

The hour hand and minute hand coincide approximately once every hour and 5 minutes (or 65 minutes).

Between 10:00 a.m. and 2:00 p.m., the coincidence occurs at the following times:

  • Between 10:00 a.m. and 11:00 a.m.
  • Between 11:00 a.m. and 1:00 p.m.
  • Between 1:00 p.m. and 2:00 p.m.

Thus, the hands coincide 3 times during this period.

Answer: A. 3 times.

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