Multiple choice

How many times do the minute hand and the hour hand of a clock make an angle of (90^{\circ}) in a day?

  1. 12

  2. 24

  3. 48

  4. 44
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

The hour and minute hands form 90° twice every hour except between 2-4 and 8-10 o'clock when they only form it once. In 12 hours: 10 hours × 2 = 20 times + 2 hours × 1 = 2 times = 22 times. In a full day (24 hours), this happens 22 × 2 = 44 times. Option D is correct.

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