Clocks Q52

52. Find at what time between 8 and 9 o'clock will the hands of a clock be in the same straight line but not together.

 A.   10x11/10       B.   10x10/11

C.   11x10/11        D.   12x10/11

Answer:

At 8 o'clock, the hour is at 8 and the minute hand is at 12,i.e. the two hands are 20 min. Spaces apart.

So, the minute hand gain          = (30 - 20)minute

55 minutes will be gained in 60 min.

10 minutes spaces will be gained in (60/55 x10) min. = 10x10/11 min.

The hands will be in the same straight line but not together at 10x10/11 min.past 8.