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Discussion :: Clock

  1. The reflex angle between the hands of a clock at 10.25 is:

  2. A.

    180°

    B.

    192\( \frac { 1^o } { 2 } \)

    C.

    195°

    D.

    197\( \frac { 1^o } { 2 } \)

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    Answer : Option D

    Explanation :

    Angle traced by hour hand in\(\frac { 125 } {1 2 } \)hrs=[\(\frac { 360 } {1 2 } \)x\(\frac { 125 } {1 2 } ]^o\)=312\( \frac { 1^o } { 2 } \)

     

    Angle traced by minute hand in 25 min =[\(\frac { 360 } {1 2 } \)x\(25 ]^o\)=\(150^o\)

     

    Reflex angle = 360°-\([312\frac { 1 } { 2 } -150]^o\)-162\( \frac { 1^o } { 2 } \)=197\( \frac { 1^o } { 2 } \)

     


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