Aptitude

1

A clock loses 1% time during the first week and then gains 2% time during the next one week. If the clock was set right at 12 noon on a Sunday, what will be the time shown by the clock exactly 14 days from the time it was set right?

a

1:36:48

b

1:40:48

c

1:41:24

d

10:19:12

The clock loses 1% time during the first week.

In a day there are 24 hours and in a week there are 7 days. Therefore, there are 7 * 24 = 168 hours in a week.

If the clock loses 1% time during the first week, then it will show a time which is 1% of 168 hours less than 12 Noon at the end of the first week = 1.68 hours less.

Subsequently, the clock gains 2% during the next week. The second week has 168 hours and the clock gains 2% time = 2% of 168 hours = 3.36 hours more than the actual time.

As it lost 1.68 hours during the first week and then gained 3.36 hours during the next week, the net result will be a -1.68 + 3.36 = 1.68 hour net gain in time.

So the clock will show a time which is 1.68 hours more than 12 Noon two weeks from the time it was set right.

1.68 hours = 1 hour and 40.8 minutes = 1 hour + 40 minutes + 48 seconds.

i.e. 1 : 40 : 48 P.M.

2

if it takes 60 seconds to complete one round around the clock what would be the time required to complete 1200 rounds of the same clock

a

1200 minutes

b

3 hours

c

42000 secs

d

45000 secs

1 round takes 60 seconds.

1200 rounds will take ? seconds.

? = 1200 * 60 seconds = 72000 seconds.

Not in option. So we check for minutes.

(1200 * 60) / 60 = 1200 min