Multiple choice

How many times in 24 hours the hands (hour and minute) of a clock will be at right Angles ?

  1. 24

  2. 30

  3. 72

  4. 44

Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

The hands of a clock are at right angles twice every hour, except between 2:00-4:00 and 8:00-10:00, where they only occur 3 times instead of 4. Total = 2 * 24 - 4 = 44 times in 24 hours.

AI explanation

The minute and hour hands are at right angles twice every hour, except between 2 and 4 and between 8 and 10, where they are at right angles only three times instead of four times in that two hour block. This means 22 right angles occur in 12 hours. Multiplying by 2 for a full day gives 44 times.