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1. How many times are the hour hand and the minute hand of a clock of a right angles during their motion from 1 : 00 pm to 10 : 00 pm ?

Solution:
The duration from 1 : 00 pm to 10 : 00 pm is 9 hours and during each of these 9 hours the hands of the clock are at right angles twice.
So, required number = 9 × 2 = 18

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