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WAEC Mathematics 2018 Objective — Question 46

Question 46 of 50 from the West African Examinations Council (WAEC) Mathematics 2018 Objective paper, with the correct answer and a full explanation.

M and N are two subsets of the universal set (U). If n(U) = 28, n(M) = 20, n(N) = 30 and n(M∪N) = 40, find n(M∩N)'.

A. 18Correct
B. 20
C. 30
D. 38

Explanation

n(M∩N)=n(M)+n(N)−n(M∪N)=20+30−40=10. n(M∩N)'=28−10=18.

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