NIMCET 2019 Question Paper with solutions

Time from 5 AM of a particular day to 10 PM on the 4th day is 89 hr. Now, the clock loses 16 mins in 24 hr or in other words, we can say that 23 hr 44 min of this clock is equal to 24 hr of the correct clock.
$\left(23+\frac{44}{60}\right)=\frac{356}{15}$hr of this clock =24 hr of the correct clock
∴ 89 hr of this clock $=\left(\frac{24\times 15}{356}\times 89\right)$ hr of the correct clock
= 90 r of the correct clock
or 89 hr of this clock =90 hr of the correct clock
Therefore, it is clear th a t in 90 hr this clock loses 1 hr and hence, the correct time is 11 PM when the clock shows 10 PM