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

$145 °$

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$150 °$

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$155 °$

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$160 °$

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Solution

The correct option is C
$155 °$

Angle traced by hour hand in $12 h r s = 360 °$
Angle traced by hour hand in $5 h r s 10 m i n = \frac{31}{6} h r s$
$= \frac{360 °}{12} x \frac{31}{6} = 155 °$
Hence, angle is $155 ° .$

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