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A clock is set at $4 \; \text{am.}$ It loses $16$ minutes in $24$ hours. What will be the correct time when the clock indicates $9 \; \text{pm }$ on the $4^{th}$ day ?

  1. $8 \; \text{pm}$
  2. $7 \; \text{pm}$
  3. $10 \; \text{pm}$
  4. $11 \; \text{pm}$
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C. 10 pm ….

 

 

Time from 4:00 am on a day to 9:00 pm on the 4th day =89 hours …..

Since clock loses 16 minutes in 24 hours,

23 hours 44 minutes of this clock = 24 hours of the correct clock ,

( 356/ 15 ) hours of this clock = 24 hours of the correct clock ….

# 1 hour of this clock  = ( 24×15) / 356 hours of the correct clock ….

##  89 hours of this clock  = ( 24×15×89 ) / 356 hours of the correct clock ...

 

89 hours of this clock = 90 hours of the correct clock ...

Hence, the correct time is 10:00 pm on 4th day….

 

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