Question

20. In a class of 80 students, 60% students play carrom, 45% play chess and 10% students neither play carrom nor chess. The number of students who play only chess is
(A) 36
(B) 24
(C) 12
(D) 8
(E) None of the above/More than one of the above

Answer 1

Answer:

36 students

Explanation:

no. of students playing chess=

45/100×80=36

Answer 2

Answer:

B)24

Explanation:

We are given that

Total students in class=80

Students play carrom=60% of 80=$\frac{60}{100}\times 80=48$

Students play chess=45% of 80=$\frac{45}{100}\times 80=36$

Students neither play carrom nor chess=10%=$\frac{10}{100}\times 80=8$

Students who play atleast one=80-8=72

$n(A\cap B)=n(A)+n(B)-n(A\cup B)$

$n(A\cap B)=45+36-72=12$

The number of students who play only chess=$36-12=24$

Answer:B)24