Question

If A = {x: x is a natural number}

B = {x: x is even natural number}

C = {x: x is prime number}

Then (A ∪ B)∩ C =

• A. A
• B. A ∩ B
• C. B
• D. C

Answer 1

The correct option is D

C

A = {1, 2, 3, 4, - - - -}

B = {2, 4, 6, 8, - - - -}

C = {2, 3, 5, 7, 11, 13, - - - -}

A ∪ B = {1, 2, 3, - - - -} ∪ {2, 4, 6, 8, - - - -} = {1, 2, 3, - - - -} = A

(A ∪ B)∩ C = A ∩ C = {1, 2, 3, - - - -} ∩ {2, 3, 5, 7, - - - -} = C