(5) The hands of  a clock coincide after every 62 minutes of  correct time. How much is the clock fast or slow in 24 hrs?

Soln. In correct clock, the time interval for coincide  =   65  min.

And we are given that, in incorrect clock, the time interval for coincide  =  62 min.

In every  1 hr. = 60 min.,  the clock is fast  by 65 –  62 = 3 =  min.

Incorrect Clock           then            Loss

62  minutes                  minutes

minutes                     (?)

(6) A watch which gains uniformly, is 10 min. slow at 7 o’clock in the morning on Sunday and it is 4 min. 24 sec. fast at 7 p.m. on following Sunday. When was it correct?

Soln. Total Duration  =   7 days 12 hours  =  180 hours

∴ The watch gains min. or min. in 180 hrs.

Gain               then                 Hrs.

 minutes                180  minutes

10 minutes                     (?)

∴  125  hrs.   =  5  days  and   5  hours.

∴Watch is correct 5 days 5 hrs 20 min. after 7 a.m. of  Sunday.

∴It will be correct at  12 p.m. on Friday.

(7) A clock is set right at 10 a.m. The clock gains 10 minutes in 24 hours. What will be the true time when the clock indicates 3  p.m. on the following day?

Soln. Time from 10 a.m. on a day to 3 p.m. on the following day  =  29 hours.

24 hours 10 min of  this  clock =  24 hours of  the correct clock.

Incorrect Clock           then            Loss

minutes                24  minutes

29 minutes                     (?)

∴The correct time is 28 hrs 48 min. of  correct clock.

This is 48 min. past 2   p.m.

Best of Luck…