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Question

If we consider the smaller angle made by the hour and the minute hands of a clock, then in which of the following is it 90?


A

3:05 PM

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B

2:00 PM

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C

3:00 PM

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D

2:30 PM

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Solution

The correct option is C

3:00 PM



The angle between any two consecutive numbers on the clock is 36012=30.

When the hour hand is at 3 and the minute hand at 12, the smaller angle made by the hands of the clock is 3×30=90.

The angles made between the hands of the clock in the other options are either obtuse or acute.


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