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    Question

    How many times are the hour and the minute hands of a

    clock at a right angle in a period of two days?
    A 96 Correct Answer Incorrect Answer
    B 77 Correct Answer Incorrect Answer
    C 48 Correct Answer Incorrect Answer
    D 92 Correct Answer Incorrect Answer

    Solution

    The hour and minute hands of a clock form a right angle (90°) twice every hour: Once when they are 90° apart clockwise Once when they are 90° apart counter-clockwise

    In 1 hour ⇒ 2 right angles In 12 hours ⇒ 12×2=24 times In 24 hours (1 day) ⇒ 24×2=48 times In 2 days ⇒ 48×2=96 times

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