Question

1 maths sets, in a survey of 400 students , it is found that 150 like mathematics, 100 like arts and 75 like both. Find the number of students who neither like mathematics nor like arts

Answer 1

Number of students who like mathematics = 150

Number of students who like arts =100

Number of students who like both mathematics and arts = 75

Total number of students = 400

Number of students who like arts and mathematics and both = 150+100+75

=325

Therefore, the number of students who neither like maths nor arts = 400 - 325=75

Hence,

the number of students who neither like maths nor arts = 75

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