Q66 of 142 Page 88

State whether the statements are true (T) or false (F).
All numbers of a Pythagorean triplet are odd.

Given: Pythagorean triplet

For Pythagorean triplet square of one should be equal to sum of square of other two.

Pythagorean triplet as 5² = 4² + 3²

Here, we see 4 is not an odd number.

Hence, the given statement is false.

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).

For an integer a, a³ is always greater than a².

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

If x and y are integers such that x²>y², then x³>y³.

State whether the statements are true (T) or false (F).All numbers of a Pythagorean triplet are odd.