State whether the following statements are true (T) or false (F):

(i) If the product of two whole numbers is zero, then at least one of them will be zero.

(ii) If the product of two whole numbers is 1, then each of them must be equal to 1.

(iii) If a and b are whole numbers such that a ≠ 0 and b ≠ 0, then ab may be zero.

(i) True.

Reason: If a × b = 0, then either a = 0 or b = 0 (or both). For example, 0 × 5 = 0 and 7 × 0 = 0.

(ii) True.

Reason: The only pair of whole numbers whose product is 1 is (1, 1), since 1 × 1 = 1. No other whole numbers can have a product of 1.

(iii) False.

Reason: If a ≠ 0 and b ≠ 0, then both a and b are non-zero whole numbers. The product of two non-zero whole numbers is always non-zero. Hence, ab cannot be zero.