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

A 57.5 degrees

B 67.5 degrees

C 77.5 degrees

D 87.5 degrees

Correct Answer: Option B

Angle traced by hour hand in \(\frac{21}4\) 21 hrs = \(\left(\frac{360}{12}\times\frac{21}4\right)^0\) = \(157\frac{1^0}2\)

Angle traced by min. hand in 15 min = \(\left(\frac{360}{12}\times15\right)^0\) = \(90^0\)

Required Angle = \(\left(157\frac12\right)^0-90^0\) = \(67\frac{1^0}2\)