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A clock, which loses $5$ minutes per day, shows the correct time at $12$ noon on a Sunday. What time does the clock show at $12$ noon on the next Sunday?

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11 a.m.

12 noon

11:35 a.m.

11:25 a.m.

answer is D.

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Detailed Solution

Given: The clock loses

5

minutes every

24

hours.
And, we know, in a week there are

7

days.
So, total number of hours in

7

days

= 7 \times 24

hours
Now,
The clock loses

5

minutes every

24

hours
Therefore, the clock in

7 \times 24

hours it loses

7 \times 5

minutes

= 35

minutes
And, as we know that the clock shows

12 : 00

noon on a Sunday.
Therefore, on the next Sunday (i.e. after

7

days) the clock will lose

35

minutes.
Hence, the clock shows

12 : 00 p . m . - 35 minutes = 11 : 25 a . m .

on the next Sunday.

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