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The angle between the hands of a clock when the time is 4 : 25 am is = ?

The angle between the hands of a clock when the time is 4 : 25 am is = ? Correct Answer $${\text{17}}{\frac{1}{2}^ \circ }$$

Let angle between the hands of clock be x
When the time is 4 : 25 am
Where
Required angle
$$\eqalign{ & = {\text{30}}\left( {\frac{{\text{M}}}{5} - {\text{H}}} \right) - \frac{{\text{M}}}{2} \cr & = 30\left( {\frac{{25}}{5} - 4} \right) - \frac{{25}}{2} \cr & = 30\left( {\frac{{25 - 20}}{5}} \right) - \frac{{25}}{2} \cr & = 30\left( {\frac{5}{5}} \right) - \frac{{25}}{2} \cr & = 30 - \frac{{25}}{2} \cr & = \frac{{60 - 25}}{2} \cr & = \frac{{35}}{2} \cr & = 17{\frac{1}{2}^{° }} \cr} $$

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