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A clock is set right at 5 a.m. The clock loses 16 min. in 24 hours. What will be the true time when the clock indicates 10 p.m. on the 4th day?
  • a)
    11 p.m.
  • b)
    10 p.m
  • c)
    9 p.m.
  • d)
    8 p.m.
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
A clock is set right at 5 a.m. The clock loses 16 min. in 24 hours. Wh...
To solve this problem, we need to calculate the total time lost by the clock in 4 days and then subtract that from the indicated time to find the true time.

Calculating the Time Lost:
In 24 hours, the clock loses 16 minutes. Therefore, in 4 days (96 hours), the clock will lose:
16 minutes/hour × 96 hours = 1536 minutes.

Calculating the True Time:
The clock indicates 10 p.m. on the 4th day. We need to subtract the lost time from this indicated time to find the true time.

10 p.m. is equal to 10 hours. Converting it to minutes, we have:
10 hours × 60 minutes/hour = 600 minutes.

Subtracting the lost time from the indicated time, we have:
600 minutes - 1536 minutes = -936 minutes.

Since we have a negative value, we need to convert it to positive and subtract from 24 hours to find the true time.

Converting -936 minutes to positive, we have:
936 minutes ÷ 60 minutes/hour = 15.6 hours.

Subtracting 15.6 hours from 24 hours, we have:
24 hours - 15.6 hours = 8.4 hours.

Converting 8.4 hours to 8 hours and 0.4 hours to minutes, we have:
8 hours × 60 minutes/hour = 480 minutes.
0.4 hours × 60 minutes/hour = 24 minutes.

The true time when the clock indicates 10 p.m. on the 4th day is 8 hours and 24 minutes.

Therefore, the correct answer is option A) 11 p.m.
Free Test
Community Answer
A clock is set right at 5 a.m. The clock loses 16 min. in 24 hours. Wh...
Time from 5 a.m. on a day to 10 p.m. on 4th day is 89 hours.
Now, 23 hrs. 44 min. of this clock are the same as 24 hours of the correct clock.
i.e., (356/15) hrs. of this clock = 24 hrs. of correct clock.
∴ 89 hrs. of this clock =  hrs. of correct clock = 90 hrs of correct clock.
So, the correct time is 11 p.m.
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A clock is set right at 5 a.m. The clock loses 16 min. in 24 hours. What will be the true time when the clock indicates 10 p.m. on the 4th day?a)11 p.m.b)10 p.mc)9 p.m.d)8 p.m.Correct answer is option 'A'. Can you explain this answer?
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