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 $