Question

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

B = {x : x is an even natural number}

C = {x : x is a 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, 4,........} ∪ {2, 4, 6, 8,..........}

= {1, 2, 3, 4,.....}

= A

(A ∪ B) ∩ C = A ∩ C

= {{1, 2, 3, 4,........} ∩ {2, 3, 5, 7,........}

= {2, 3, 5, 7, 11, 13,.........}

= C