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At what angle the hands of a clock are inclined at 15 minutes past 5?

58 1 ° 2
64°
67 1 ° 2
72 1 ° 2

Correct Answer: 67 1 ° 2

Explanation:

Angle traced by hour hand in	21	hrs =	❨	360	x	21	❩	°	=	157	1	°
	4			12		4					2

Angle traced by min. hand in 15 min. =	❨	360	x 15	❩	°	= 90°.
		60

∴ Required angle =	❨	157	1	❩	°	- 90° = 67	1	°
			2				2

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