At what time between 4 and 5 O'clock will the hands of a watch point it opposite directions?

Options

A. 43 min past 4
B. 425/11 min past 4
C. 50 4/11 min past 4
D. 40 min past 4

Answer

C

Explanation

At 4 o.clock, the hands of the watch. are 20 min, spaces apart.
To be in opposite directions, they must be 30min, spaces apart:
Minute hand will have to gain 5 min. spaces. 55 min spaces are gained in 60 min. 5 min. spaces are gained In (60/55 * 50) min.
Required time 546/11 min. past 4