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

A 58(1/2)0

B 640

C 67(1/2)0

D 72(1/2)0

Correct Answer: Option C

Angle traced by hour hand in 21/4 hrs= ((360/12)×(21/4))

= 157(1/2)0

Angle traced by min. hand in 15 min. = ((360/60)×15)0 = 900

So, Required angle =(157(1/2))0 – 900 = 67(1/2)0