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Question

Let x and y be natural numbers. If xdivides y, then x3 divides y3. State whether the statement is true or false.


A
True
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B
False
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Solution

The correct option is A True

Prove the statement:

Natural numbers =1,2,3,.....

Given: x and y are natural numbers and xdivides y.

Therefore, yx is a natural number.

Now, y3x3 can be written as yx3.

Since the cube of a natural number is also a natural number.

Hence, x3 divides y3.

Hence,the given statement is true.


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