A Pythgorean triple can never be made up of two even numbers and on odd number

True

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False

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Solution

The correct option is A
True

This is true because-

(i) Square of an even number is even and square of an odd number is odd.

(ii) Sum of two even numbers is again an even number and sum of an odd number and an even number is an odd number

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Question 2 (b)

State whether the following statement is true or false:

The sum of two odd numbers and one even number is even.

State whether the following statements are True or False:

(a) The sum of three odd numbers is even.

(b) The sum of two odd numbers and one even number is even.

(d) If an even number is divided by 2, the quotient is always odd.

(e) All prime numbers are odd.

(f) Prime numbers do not have any factors.

(g) Sum of two prime numbers is always even.

(h) 2 is the only even prime number.

(i) All even numbers are composite numbers.

(j) The product of two even numbers is always even.

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