N a class of 120 students numbered 1 to 120, all even numbered students opt for physics, those whose numbers are divisible by 5 opt for chemistry and those whose numbers are divisible by 7 opt for math. How many opt for none of the three subjects
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students obtained for physics, chemistry and maths: 81
therefore, students obtained for none of the three subjects: 120 - 81 = 39
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