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Mathematics

Grade9

Easy

Question

Draw a conclusion from the statement.
If a whole number is even, then its square is divisible by 4.
The number I am thinking of is an even number.

Then it's not odd.
Then it's a whole number
Then its square is divisible by 4
Then it's even

hint Hint:

Reasoning is drawing conclusions using statements and pictures. There are two types of reasonings they are deductive and inductive. In deductive reasoning we use general statements or facts to draw specific conclusions out of it whereas in inductive reasoning we use specific observations to draw general conclusions. Here, we have to draw the conclusion using the given statements.

The correct answer is: Then its square is divisible by 4

In the question the given statements are
1. If a whole number is even, then its square is divisible by 4.
2. The number I am thinking of is an even number.
Here, we have to draw conclusion using the given statements.
The square of an even whole number is divisible by 4.
The number I take, is an even number so it is also a whole number.
So, we can conclude that the square of the even number taken by me will also be divisible by 4.
Therefore, the correct option is b, i.e., then it's square is divisible by 4.

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