Question

In a class of 140 students numbered 1 to 140, all even numbered students opted Mathematics course, those whose number is divisible by 3 opted Physics course and those whose number is divisible by 5 opted Chemistry course. Then the number of students who did not opt for any of the three courses is: 

(1) 102 

(2) 42 

(3) 1 

(4) 38 

Answer 1

Correct option: (4) 38

Explanation:

Let m denotes maths, P denotes physics, C denotes chemistry n(M) = 70, n(P) = 46, n(C) 

No. of students not opted for any course = 140 – 102 = 38 

Answer 2

Correct option: (4) 38

Explanation: