sum of squares of two numbers is 97, then which of the following cannot be their product? a)64 b)-32 c) 16 d)48

We first list down the possible squares. The squares are of numbers from 1 to 9 They include : 1, 4, 9, 16, 25, 36, 49, 64, 81, 100 The two squares that can give us 97 when added are : 81 and 16 81 + 16 = 97 And the numbers are 4 and 9 The 16, 48 and 64 are multiples of 4. However - 32 is not a positive multiple of 4. Hence it is the odd one out.