Question 2 (a)

State whether the following statement is true or false:

The sum of three odd numbers is even.

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Solution

The sum of three odd number is always odd.

Odd + Odd + Odd = (Odd + Odd) + Odd

Odd + Odd = Even

Even + Odd = Odd

Example: 1 + 3 + 5 = 9, which is odd.

Hence, the given statement is false.

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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.

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State whether the following statement is true or false:

Cube of an even number is odd.

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State whether the following statement is true or false:

2 is the only even prime number.

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State whether the following statement is true or false:

Cube of an odd number is odd.

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