[155^\circ] A clock is started at noon. By 10 minutes past 5, the hour hand has turned through:

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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$^\circ$

Additional Questions

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A clock is started at noon. By 10 minutes past 5, the hour hand has turned through:	Answer
A watch which gains 5 seconds in 3 minutes was set right at 7 a.m. In the afternoon of the same day, when the watch indicated quarter past 4 oclock, the true time is:	Answer
How much does a watch lose per day, if its hands coincide every 64 minutes?	Answer

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