1)

At what time between 4 and 5 are the hands of a clock 4 minutes apart?


A) 17(5/11) min and 26(2/11) min past 4.

B) 18(5/11) min and 26(2/11) min past 4.

C) 19(5/11) min and 26(2/11) min past 4.

D) 20(5/11) min and 27(2/11) min past 4.

E) 22(5/11) min and 28(2/11) min past 4.

Answer:

Option A

Explanation:

Case I:
Minute hand is 4 minute spaGes behind the hour hand.
In this case, the minute hand has to gain = 20-4 = 16 min. spaces
55 min. are gained in 60 min.
16 min. are gained in (60/55) x 16 min = (192/11) = 17(5/11) min.

=17(5/11) min past 4.

Case II.

Minute hand is 4 minute spaces ahead of the hour hand.
In this case, the minute hand has to gain 20+4=24 min. spaces
55 min. are gained in 60 min.

There for, 24 min are gained in (60/55) x 24 = (288/11) = 26(2/11) min.

=26(2/11) min. past 4.