1)

At what time will the hands of a clock be coincident between 3 and 4 o'clock?


A) 5(1/11) min past 3

B) 16(4/11) min past 3

C) 13(4/11) min.past 3

D) 12(4/11) min.past 3

E) 10(6/11) min past 3

Answer:

Option B

Explanation:

At 3 o'clock the 2 hands are 15 min. spaces apart.
The minute hand will have to gain 15 min. to be coincident. 55 min. spaces are gained in = 60 min.

There for, 15 min. spaces are gained in (60/55) X 15 = (180/11) = 16(4/11) min.

16 (4/11) min past 3