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

Correct Answer: Option D

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.

So, Minute hand will have to gain only 5 min. spaces.

55 min. spaces are gained in 60 min.

5 min. spaces are gained in ((60/55) ×5) min = 5(5/11) min.

So, Required time = 5(5/11) min. past 7.