Question

If A X B = {(1, a), (1, b), (1, c), (2, a), (2, b), (2, c)} then find set B.

(a) {1}

(b) {1, 2}

(c) {1, a}

(d) {a, b, c}

This question was addressed to me during an interview.

My question is based upon Cartesian Product of Sets topic in section Relations and Functions of Mathematics – Class 11

Answer 1

The correct option is (d) {a, b, c}

Explanation: In each ordered pair of A X B, first element belongs to set A and second element belongs to set B.

a, b, c ∈ B so, B = {a, b, c}.