Quantitative Aptitude Ques 1851

Question: At what point of time after 3 0’ clock, hour hand and the minute hand are at right angles for the first time?

Options:

A) $ 9O’clock $

B) $ 4h37\frac{1}{6}\min $

C) $ 3h30\frac{8}{11}\min $

D) $ 3h32\frac{8}{11}\min $

Show Answer

Answer:

Correct Answer: D

Solution:

  • Clock will make right angle at $ (5n+15)\times \frac{12}{11}\min $ past n. Given that, $ n=3 $

$ \therefore $ $ (5\times 3+15)\times \frac{12}{11}\min past3 $ $ =30\times \frac{12}{11}\min past3 $ $ =32\frac{8}{11}\min past3=3h32\frac{8}{11}\min $

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