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A clock is displaying correct time at 9 am on Monday. If the clock loses 12 minutes in 24 hours, then the actual time when the clock indicates 8 : 30 pm on Wednesday of the same week is = ?

A. 8 pm

B. 7 pm

C. 9 pm

D. 8 : 59 : 45 pm

Answer: Option C

Solution(By Examveda Team)

Time interval from 9 am on Monday to 8 : 30 pm on Wednesday.
$$\eqalign{ & {\text{ = }}\left( {24 \times 2.5} \right) - {\text{0:30 hours }} \cr & {\text{ = 60}} - {\text{0}}{\text{:30 hours}} \cr & {\text{ = 59 hours 30 minutes}} \cr & = 59\frac{{30}}{{60}} \cr & = 59\frac{1}{2} \cr & = \frac{{119}}{2}{\text{ hours}} \cr & {\text{Also 24 hours}} - {\text{12 minutes}} \cr & = {\text{23 hours 48 minutes}} \cr & = 23 + \frac{{48}}{{60}} \cr & = 23\frac{4}{5} \cr & = \frac{{119}}{5}{\text{ hours}} \cr & \therefore \frac{{119}}{2}{\text{ hours of this clock}} \cr & = \frac{{24 \times 5}}{{119}} \times \frac{{119}}{2} \cr & = 60{\text{ hours}} \cr & \left( {60 - \frac{{119}}{2}} \right){\text{ hours}} \cr & {\text{ = }}\frac{{120 - 119}}{2}{\text{ hours}} \cr & {\text{ = }}\frac{1}{2}{\text{ hours}} \cr & = 30{\text{ minutes}} \cr} $$
Hence, the correct time is 30 minutes after 8:30 pm i.e., 9 pm

This Question Belongs to Arithmetic Ability >> Clock

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