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Question

In an analog watch, the minute hand is at 12. The angle between the hour hand and the minute hand is 150. What could be the time?


A

5 o'clock only.

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B

7 o'clock only.

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C

either 5 o'clock or 7 o'clock

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D

either 4 o'clock or 8 o'clock.

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Solution

The correct option is C

either 5 o'clock or 7 o'clock


Total angle subtended at the centre of the clock is 360

Angle subtended by each hour will be, 36012 = 30

Now an angle of 150 between the hour hand and the minute hand denotes that there is a difference of 15030 = 5 hours between them.

The minute hand is at 12, so the hour hand must be either 5 hours ahead of it or 5 hours behind it.

5 hours ahead the time is 5 o'clock and 5 hours behind the time is 7 o'clock. So, both can be the answer.


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