In a class of 40, 25 like tea, 20 like coffee and 10 like both. The number liking neither is:

In a class of 40, 25 like tea, 20 like…

Answer: 5.

A 5
B 10
C 15
D 0

Correct answer: A. 5

Explanation: Liking at least one = 25 + 20 − 10 = 35, so 40 − 35 = 5 like neither.

A Venn diagram makes set identities visual: A∪B is everything inside either circle, A∩B is only the overlap, and the region outside both circles represents the complement of their union - directly illustrating De Morgan's law (A∪B)′ = A′∩B′.

Concept context

Types of sets, operations (union/intersection/complement), relations, and types of functions with domain and range

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In a class of 40, 25 like tea, 20 like coffee and 10 like both. The number liking neither is:

Concept context

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