Question

The members of the set S = {x | x is the square of an integer and x < 100} is ________________

(a) {0, 2, 4, 5, 9, 58, 49, 56, 99, 12}

(b) {0, 1, 4, 9, 16, 25, 36, 49, 64, 81}

(c) {1, 4, 9, 16, 25, 36, 64, 81, 85, 99}

(d) {0, 1, 4, 9, 16, 25, 36, 49, 64, 121}

I had been asked this question in a national level competition.

This interesting question is from Sets in chapter Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics

Answer 1

Right answer is (b) {0, 1, 4, 9, 16, 25, 36, 49, 64, 81}

To explain: The set S consists of the square of an integer less than 10.