1)

A clock gains uniformly and is slow by 8 minutes at 10 a.m. on Sunday and is 6 minutes 24 seconds fast at 10 p.m. on the following Sunday. When did the clock show correct time?


A) 1 p.m Wednesday

B) 2 p.m Friday

C) 3 p.m Thursday

D) 2 p.m Thursday

E) 4 p.m Saturday

Answer:

Option D

Explanation:

Time from 10 a.m on sunday to 10 p.m on following sunday= 7 days 12 hours=180 hours.

The clock gains ( 8+ 6 (24/60)) min

= 8+ 6(2/5)= 8+(32/5)=(72/5) min in 180 hours.

there for, 8 min are gained in =180 X (5/72) X 8 hrs=100hrs.

there for, The Clock is correct, 4 days 4 hours after 10 a.m on sunday.

(i.e) Thursday 2 p.m