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A clock is set at 5 am. If the clock loses 16 minutes in 24 hours, what will be the true time when the clock indicates 10 pm on 4th day?
  • a)
    9.30 pm
  • b)
    10 pm
  • c)
    10.30 pm
  • d)
    11 pm
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
A clock is set at 5 am. If the clock loses 16 minutes in 24 hours, wha...
Time from 5 am to 10 pm on the 4th day 

= 3 days 17 hours 

= 3 × 24 + 17 

= 89 hours.


Given that clock loses 16 minutes in 24 hours.
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Most Upvoted Answer
A clock is set at 5 am. If the clock loses 16 minutes in 24 hours, wha...
Solution:

Given, the clock loses 16 minutes in 24 hours.

So, in 1 day, the clock will lose = 16 minutes

In 4 days, the clock will lose = 4 × 16 = 64 minutes

Now, let's find out at what time the clock will show 10 pm on the 4th day.

Total time elapsed from 5 am on day 1 to 10 pm on day 4 = (24 - 5) hours × 3 days + 10 hours = 67 hours

So, when the clock shows 10 pm on the 4th day, the actual time elapsed will be 67 hours and 64 minutes.

Now, we need to subtract 64 minutes from the time indicated by the clock to get the actual time.

10 pm - 64 minutes = 9:56 pm

Therefore, the true time when the clock indicates 10 pm on the 4th day will be 9:56 pm. Hence, option D is the correct answer.
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