Question

In a school, half of students play
(1/4) play
badminton, one-fourth
volleyball, one-eighth (1/8") play
tennis, one-sixteenth (1/16) play chess
and remaining go for swimming. If the
number of students playing volleyball
is 160, how many students play chess ?
(1) 40
(2)120
(3) 80
(4) 20

​

Answer 1

Given:

In a school, half of the students play badminton, one-fourth (1/4) play volleyball, one-eighth (1/8) play tennis, one-sixteenth (1/16) play chess, and the remaining go for swimming. If the number of students playing volleyball is 160.

To find:

how many students play chess?

Solution:

Let the total number of students be x

It is given that the fraction and the number of the students who play volleyball are 1/4 and 160 respectively.

The  number of students playing volleyball = 160

$=> \dfrac{x}{4}= 160$

$=> x = 160 \times 4 =640$

Therefore, the total number of students = 640

Finding the number of students who play chess:

$=> \dfrac{1}{16} \times 640$

$=> \dfrac{640}{16}$

$=> 40$

Hence, the number of students who play chess = 40.

Therefore, the required answer is an option-(A) => 40