Question

In a club having 360 members, 40 play carrom, 96 play table tennis, 144 play badminton and remaining members play volley-ball. If no member plays two or more games, find the ratio of members who play carrom to the number of those who play badminton.

• A. $5:18$
• B. $2:7$
• C. $5:7$
• D. None of these

Answer 1

The correct option is A $5:18$

Total Member =$360$

$n\left(carrom\right)=40$

$n\left(tabletennis\right)=96$

$n\left(badmenton\right)=144$

$n\left(vollyball\right)=360-\left(40+96+144\right)$

$x=360-280$

$=80$

$\frac{carrom}{badmenton}=\frac{40}{144}=\frac{5}{18}=5:18$