Sarosh comes home from the office at 8 o' clock. The least angle subtended between the hour hand and minute hand by the time he reaches home is:

Acute Angle

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Right Angle

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Obtuse Angle

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Straight Angle

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Solution

The correct option is C
Obtuse Angle

Note that a clock is a circle made of 360 degrees and that each number represents an angle and the separation between them is,

$\frac{360}{12}$ = $30^{\circ}$

At 8 PM, the minute hand is on the 12 and the hour hand is on the 8.

The least angle between hour hand and minute hand is 4 × 30 = $120^{\circ}$

It is an obtuse angle.

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