# 72% of students in a class took Physics and 44% took Mathematics. If each student took Physics or Mathematics and 40 took both, the total number of students in the class would be - Mathematics

MCQ

72% of students in a class took Physics and 44% took Mathematics. If each student took Physics or Mathematics and 40 took both, the total number of students in the class would be

• 200

• 240

• 250

• 320

#### Solution

250

Explanation:

No. of Student took Physics n(N) = 72%

No. of Student took Mathematics n(M) = 44%

n (M∪N) = 100%

n (M∩N) = 72 + 44 − 100 = 116 − 100 = 16%

ATQ

16/100"x"=40

x = 250

Concept: Percentage, Discount and Partnership (Entrance Exam)
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