Quantitative Aptitude Ques 1652

Question: A clock is set right at 9 am. The clock gains 10 min in 24 h. What will be true time, when the clock indicates 2 pm on the following day?

Options:

A) 48 min past 12

B) 48 min past 1

C) 48 min past 1

D) 48 min past 2

E) None of these

Show Answer

Answer:

Correct Answer: C

Solution:

  • Time from 9 am in a day to 2 pm on the following day $ =29h $ 24 h 10 min of this clock $ =24h $ of the correct clock

$ \Rightarrow $ $ \frac{145}{6}h $ of this clock $ =24h $ of the correct clock 29 h of this clock $ =( 24\times \frac{6}{145}\times 29 )h $ of the correct clock $ =28h48\min $ of correct clock

$ \therefore $ The correct time is 28 h 48 min after 9 am. This will be 48 min past 1.