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A clock is set right at 5 a.m. This clock loses 16 minutes in a day. If the clock shows 10 p.m. on the 4th day, then what will be the true time at that instant?
1. 11 p.m
2. 10.30 p.m
3. 9.45 p.m
4. 11.10 p.m

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Best answer
Correct Answer - Option 1 : 11 p.m

Clock loses 16 minutes a day i.e. 16 minutes in 24 hours.

Total time between 5 a.m. on first day and 10 p.m. on the fourth day = 24 hours + 24 hours + 24 hours + 17 hours = 89 hours.

Now, 23 hours 44 minutes of this clock = 24 hours of the correct clock.

356/15 hours of this clock = 24 hours of the correct clock.

Thus, 89 hours of this clock = (24 × 31556 × 89) or 90 hours of the correct clock.

Therefore, the correct time would be 5 a.m. p.m. + 90 hours i.e. 11 p.m.

Hence, 11 p.m. is correct.

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