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Numerical Ability
Clocks and Calendars
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?
Read Solution (Total 2)
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- 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.
- 12 years agoHelpfull: Yes(6) No(1)
- In first 7 days clock loses 1% of the time.
And in next seven days it gains 2% of the time.
So in 14 days it gains net 1% of the time.
i.i clock will show 1.68 hours more than 12 Noon after two weeks from the time it was set right. - 11 years agoHelpfull: Yes(0) No(0)
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