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    The angle between hour and minute hands at 11 O'clock will be :
    Question

    The angle between hour and minute hands at 11 O'clock will be :

    A.

    15°

    B.

    22

    C.

    30°

    D.

    36°

    Correct option is C

    Step 1: Formula for the Angle Between Hour and Minute Hands

    The formula for the angle between the hour and minute hands is:
    Angle = | (30 × H - 5.5 × M) |
    where:
    - H = Hour
    - M = Minutes

    Step 2: Substituting the Values

    At 11:00, H = 11 and M = 0. Substituting into the formula:
    Angle = | (30 × 11 - 5.5 × 0) |
    Angle = | (330 - 0) |
    Angle = 330°

    Step 3: Adjust for Acute Angle

    The clock face is circular, and the largest angle possible is 360°. The smaller angle between the hands is:
    Acute Angle = 360° - 330° = 30°

    Final Answer

    The angle between the hour and minute hands at 11 O'clock is 30°

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