Exams › JEE Advanced › Maths
Given A = {2, 3, 4, 8, 10}, B = {3, 4, 5, 10, 12}, C = {4, 5, 6, 12, 14}, find the set (A ∩ B) ∪ (A ∩ C).
- {3, 4, 10}
- {2, 8, 10}
- {4, 5, 6}
- {3, 5, 14}
Correct answer: {3, 4, 10}
Solution
By the distributive law, (A ∩ B) ∪ (A ∩ C) = A ∩ (B ∪ C). B ∪ C = {3,4,5,6,10,12,14}. A ∩ (B ∪ C) = {3,4,10}.
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