1)

At what time between 7 and 8 o'clock will the angle between the two hands of a clock be 0°?


A) 7.40

B) 7.35

C) 7.38

D) 7.42

E) 7.45

Answer:

Option C

Explanation:

At 7 o'clock the hour hand is at 7 and the minute hand is at 12,
(i.e) they are 35 min. spaces apart. To be together, the minute hand must gain 35 min. over the hour hand.
55 min are gained in 60 min.

25 min will be gained in = (60/55) X 35

                                   =(12/11) X 35= 420/11= 38(2/11) min

i.e 38(2/11) min past 7 (i.e) =7.38