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Fallacy

State whether...

Question

State whether the following statements are true or false. Give reasons for your answers.
Square numbers can be written as the sum of two odd numbers.

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Solution

The square number can written as sum of odd number is false.
For example $9 = 4 + 5$
In these one number is even and other is odd.
Then this proves that the square of a number is not the sum of two odd numbers.

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Question 4 (i)
State whether the following statement is true or false. Give reasons for your answer.

Every natural number is a whole number.

Question 4 (iii)
State whether the following statement is true or false. Give reasons for your answer.

Every rational number is a whole number.

Question 4 (ii)
State whether the following statement is true or false. Give reasons for your answer.

Every integer is a whole number.

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