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The watch which gains uniformly is 2 minutes. slow at noon on Sunday and is 4 minutes. 48 seconds. fast at 2 pm on the following Sunday. The watch was correct at:
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- 2 pm on Tuesday
- 12 noon on Monday
- 1 : 30 pm on Tuesday
- 12 : 45 pm on Monday
Correct Option: A
As we know that ,
From Sunday noon to the following Sunday at 2 pm, total time = 7 days + 2 hours = (7 × 24 + 2) hours = 170 hours.
In this period watch gains ( 2 + 4 ) minutes 48 seconds = 6 | minutes | = 6 | minutes | ||
60 | 5 |
∴ Watch gains 6 | 4 | minutes in 170 hours | . |
5 |
∴ Watch gains 2 minutes in | 170 | x 5 x 2 = ( 2 x 24 + 2 ) hours = 50 hours | . |
34 |
∴ Watch will be correct at 2 pm on Tuesday.