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    What is the angle between the clock hands at 12:55?
    Question

    What is the angle between the clock hands at 12:55?

    A.

    8712\frac{1}{2}​°

    B.

    6712\frac{1}{2}​​°

    C.

    5712\frac{1}{2}​​°

    D.

    2712\frac{1}{2}​​°

    Correct option is C

    Given: The clock hands at 12:55.

    Formula Used:

    Angle between = 30H112M\Big| 30H - \frac {11}{2}M\Big|

    30×12112×55\Big| 30\times12 - \frac {11}{2}\times55\Big|

    3606052\Big| 360 - \frac {605}{2}\Big|

    7206052\Big| \frac {720 - 605}{2}\Big|

    1152\Big| \frac {115}{2}\Big|

    = 57 12\frac {1}{2}​​°

    Thus, correct option is (c).

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