Quantitative Aptitude Ques 941

Question: At what time (in min) between 3’O clock and 4’O clock, both the needles will coincide each other?

Options:

A) $ 5\frac{1}{11} $

B) $ 12\frac{4}{11} $

C) $ 13\frac{4}{11} $

D) $ 16\frac{4}{11} $

Show Answer

Answer:

Correct Answer: D

Solution:

  • At 3 O’clock, the minute hand is 15 min spaces apart from the hour hand. To be coincident, it must gain 15 min spaces. 55 min are gained in 60 min.

$ \therefore $ 15 min are gained at $ \frac{60}{55}\times 15=16\frac{4}{11}\min $

$ \therefore $ The hands are coincident at $ 16\frac{4}{11}\min $ past 3.