1.  At what time between 7 and 8 o'clock will the hands of a clock be in the same straight line but, not together?

A. 5 min. past 7
B. 5(2/11) min. past 7
C. 5(3/11) min. past 7
D. 5(5/11) min. past 7

Answer: Option D

Explanation:

When the hands of the clock are in the same straight line but not together, they are 30 minute spaces apart.

At 7 o'clock, they are 25 min. spaces apart.

∴ Minute hand will have to gain only 5 min. spaces.

55 min. spaces are gained in 60 min.

5 min. spaces are gained in :

60 x 5 min = 5 5 min.
55 11

Required time = 5 5 min. past 7.
11