pyq/2024/csat/39

Let p, q, r and s be distinct positive integers. Let p, q be odd and r, s be even. Consider the following statements:

1. (p-r)² (qs) is even.

2. (q-s)q² s is even.

3. (q + r)² (p + s) is odd.

Which of the statements given above are correct?

(A) 1 and 2 only

(B) 2 and 3 only

(C) 1 and 3 only

(D) 1, 2 and 3