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Question

What fraction of a clock wise revolution does the hour hand of a clock turn through when it goes from

(a) 3 to 9 (b) 4 to 7 (c) 7 to 10

(d) 12 to 9 (e) 1 to 10 (f) 6 to 3

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Solution

We may observe that in 1 complete clockwise revolution, the hour hand will

rotate by 360º.

(a) When the hour hand goes from 3 to 9 clockwise, it will rotate by 2 right angles or 180º.

Fraction =


​​

(b) When the hour hand goes from 4 to 7 clockwise, it will rotate by 1 right angle or 90º.

Fraction =

(c) When the hour hand goes from 7 to 10 clockwise, it will rotate by 1 right angle or 90º.

Fraction =

(d) When the hour hand goes from 12 to 9 clockwise, it will rotate by 3 right angles or 270º.

Fraction =

(e) When the hour hand goes from 1 to 10 clockwise, it will rotate by 3 right angles or 270º.

Fraction =

(f) When the hour hand goes from 6 to 3 clockwise, it will rotate by 3 right angles or 270º.

Fraction =


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