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Question

The reflex angle (larger angle) between the hands of a clock at 10.25 is:

A
180⁰
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B
197.5⁰
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C
195⁰
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D
192.5⁰
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Solution

The correct option is B 197.5⁰
Angle between the hands at 10:00 = 60⁰
Hour hand traces 360/12 = 30⁰ per hour => 30/60 = 0.5⁰ per minute
Minute hand traces 360⁰ per hour => 360/60 = 6⁰ per minute
Difference of angle traced by the hands in a minute = 6-0.5 = 5.5⁰
So, at 10:25, the difference between the hands = 60+25(5.5) = 197.5⁰

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