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    At half past 5 in the evening, the smaller angle between the hour and minute hands of a clock is?
    Question

    At half past 5 in the evening, the smaller angle between the hour and minute hands of a clock is?

    A.

    10o10^o​​

    B.

    12o12^o

    C.

    15o15^o​​

    D.

    18o18^o​​

    Correct option is C

    Given: At half past 5 in the evening.
    θ\theta = 112\frac {11}{2} ×\times M - 30 ×\times H

    θ\theta = 112\frac {11}{2} ×\times 30 - 30 ×\times 5

    θ\theta = 11 ×\times 15 - 150
    θ\theta = 165 - 150
    θ\theta = 15o15^o
    The smaller angle between the hours and minute hand of clock is 15o15^o​​
    Thus, correct option is (c).

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