JEE Main Mathematics question

MathematicsSets and RelationJEE Main

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 (JEE Main 2013)

Answer: (B)

Solution

Multiples of 2: 70, of 3: 46, of 5: 28, of 6: 23, of 10: 14, of 15: 9,

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Question ID VK-003261