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Question

How many times from 4 pm to 10 pm, the hands of a clock are at right angles?

A
10
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B
11
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C
9
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D
6
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Solution

The correct option is B 11
11-times

Two right angles are formed during each hourly period 4-5, 5-6, 6-7, 7-8, 8-9.
However, when the clock reaches 9pm, this coincides with the second 90° between the hours of 8-9. The clock has then to reach approximately 9.34pm for the only occasion when the hands will be at 90° in the hour 9-10.

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