Q63 of 142 Page 88

State whether the statements are true (T) or false (F).
1000 is a perfect square.

Given: 1000

Factors of 1000 = 2 ×2 × 2 × 2 × 5 × 5 × 5

= 2³× 5³

As we see, 1000 is a perfect cube not a perfect square.

Hence, the given statement is false.

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

There are 200 natural numbers between 100² and 101².

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

The sum of first n odd natural numbers is n².

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

A perfect square can have 8 as its units digit.

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

For every natural number m (2m-1, 2m²-2m,2m²-2m + 1) is a Pythagorean triplet.

State whether the statements are true (T) or false (F).1000 is a perfect square.