Which of the following numbers are not perfect squares? (i) 2032 (ii) 2048 (iii) 1027 (iv) 1089

• Since 2032 ends in 2, it is not a perfect square.
• Since 2048 ends in 8, it is not a perfect square.
• Since 1027 ends in 7, it is not a perfect square.

• 1089 ends in 9, so it could be a perfect square. To check, we can find its square root. We know that $30^2 = 900$ and $44^2 = 1936$. Since 1089 ends in 9, its square root must end in 3 or 7. Let's try $33^2$: $$33^2 = 33 \times 33 = 1089$$ Thus, 1089 is a perfect square.

Based on the analysis, the numbers that are not perfect squares are 2032, 2048, and 1027.

The numbers that are not perfect squares are:

• (i) 2032
• (ii) 2048
• (iii) 1027