SSC CPO SI and ASI 2015 Paper

Question : 147 of 199

Marks: +1, -0

The angle between the hands of a clock, when the time is 3:20, is

Solution:

(3)
3 hours 20 minutes means

3 \ {1}/{3}=\ {10}/{3}

hours.
Angle traced in

{10}/{3} \ {hr}

by hour hand

=\ {360}/{12} × {10}{3}=100^{°}

Angle traced in 20 minutes by minute hand

=\ {360}/{60} ×20=120^{\°}

So, Angle between hour and minutehand is

120^{\°}-100^{\°}=20^{\°} .

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