| A clock is set right at 6 am. The clock losses 16 min in 24 h. What will be true time, if the clock indicates 11 pm on 4th day? |
A) 12 O'clock
B) 11 pm
C) 9 pm
D) 2 pm
Correct Answer: A
Solution :
| Time from 6 am on a day to 11pm on 4th day = 89 h |
| Now, 23 h 44 min of this clock = 24 h of correct clock 89 h of this clock |
| \[=\left( \frac{24\times 1}{\left( 23+\frac{44}{60} \right)h}\times 89 \right)=\left( 24\times \frac{15}{356}\times 89 \right)\] |
| \[=\left( 24\times \frac{15}{356}\times 89 \right)h\]of correct clock |
| = 90 h of correct clock |
| \[\therefore \]Correct time will be 12 O'clock (mid-night). |
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