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A clock is started at noon. By 10 minutes past 5, the hour hand has turned through:

$145^\circ$
$150^\circ$
$155^\circ$
$160^\circ$
Explanation:

Angle traced by hour hand in 12 hrs = 360$^\circ$

Angle traced by hour hand in 5 hrs 10 min. i.e.,$\dfrac{31}{6}$ hrs =$\left(\dfrac{360}{12} \times \dfrac{31}{6}\right) ^\circ$=155$^\circ$

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