When it is 10:30, what kind of angle is formed by the hands of the clock?

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Acute

Obtuse

Right

Straight

answer is B.

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Detailed Solution

When it is 10:30, the kind of angle formed by the hands of the clock is ‘Obtuse Angle’.
Since the time is 10:30, the hands of the clock form an angle of more than 90 degrees. Hence, the angle formed is an obtuse angle.
seo

Now the number of parts (number) between 6 to 10 are 4. So an angle between 6 and 10 will be 4×30

°

=120

°

. Similarly, there are 5 parts between 6 to 11. So the angle between 6 and 11 will be 5×30

°

=150

°

.
Hence our angle will be between 120∘ and 150∘ and it will be exactly in middle of 10 and 11, so angle will be equal to

\frac{120 ° + 150 °}{2} = \frac{270 °}{2} = 135 °

Hence our required angle between the hands of a clock as 10:30 is 135

°

.
Since 135

°

is greater than 90

°

so it is an obtuse angle.
So, the correct answer is “Option 2”.

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