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    What is the angle between the hour and minute hand of a clock at 3h:15m?
    Question

    What is the angle between the hour and minute hand of a clock at 3h:15m?

    A.

    0'

    B.

    2.5'

    C.

    5'

    D.

    7.5'

    Correct option is D

    Given:
    Time = 3 hours 15 minutes
    We are to find the angle between the hour and minute hands at this time.

    Formula Used:
    Angle=30×hour112×minutes\text{Angle} = \left| 30 \times \text{hour} - \frac{11}{2} \times \text{minutes} \right|​​

    Solution:
    Substitute values into the formula:
     Angle=30×3112×15\text{Angle} = \left| 30 \times \text{3} - \frac{11}{2} \times \text{15} \right|​​
    = |90 − (165 ÷ 2)|
    = |90 − 82.5|
    = 7.5 degrees

    Final Answer:
    S. Ans. (D) 7.5'

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