1.  At what time between 4 and 5 o'clock will the hands of a watch point in opposite directions?
A. 45 min. past 4
B. 40 min. past 4
C. 50(4/11) min. past 4
D. 54(6/11) min. past 4

Answer: Option D

Explanation:

At 4 o'clock, the hands of the watch are 20 min. spaces apart.

To be in opposite directions, they must be 30 min. spaces apart.

∴ Minute hand will have to gain 50 min. spaces.

55 min. spaces are gained in 60 min.

50 min. spaces are gained in

60 x 50 min. or 54 6 min.
55 11

∴ Required time = 54 6 min. past 4.
11