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Algebraic Identities

Determine whe...

Question

Determine whether the given statement is true or false.

The triangular numbers follow this pattern:

The first two numbers are odd, followed by two even numbers, then two odd numbers, and so on.

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Q. Write (T) for true and (F) for false for each of the following statements:
(i) The sum of two odd numbers is an odd number.
(ii) The sum of two even numbers is an even number.
(iii) The sum of an even number and an odd number is an odd number.

Q. Write 'T' for true and 'F' for false statement.
(i) Every prime numbner is odd.
(ii) Every even number is composite.
(iii) The sum of two odd numbers is always odd.
(iv) The sum of two even numbers is always even.
(v) The HCF of two given numbers is always a factor is their LCM.

Question 77

State whether the following statement is true or false:

Cube of an even number is odd.

Question 66

State whether the following statement is true or false:

All numbers of a Pythagorean triplet are odd.

Question 2 (b)

State whether the following statement is true or false:

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

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