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

Options

A. `77(1^(@))/(2)`
B. `67(1^(@))/(2)`
C. `58(1^(@))/(2)`
D. `64^(@)`

Answer

B

Explanation

At 15 min past 5, the minute hand is at 3 and hour and slightly ahead of 5.
Now, angle through which four hand shifts in 15 min `= (15 xx (1)/(2))^(@)`
`= 7(1^(@))/(2)`
`therefore` Angle at 15 min past 5 = `(60 + 7(1)/(2))^(@)`
`= 67(1^(@))/(2)`