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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∘?
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∘?
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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.
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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