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Q.

State whether the given statement is true or false.

The square of a proper fraction is always less than the given fraction.

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a

True

b

False

answer is A.

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Detailed Solution

Here, we have been asked to check if the square of a proper fraction is always less than the given fraction or not.
A fraction that has a denominator greater than the numerator is called the proper fraction. When we perform a square of the fraction the denominator will have a greater value than the numerator.
A proper fraction has a value that reduces as the denominator's value increases.
For example:

110 > 1100 ⇒ 0.1 > 0.01

Therefore, a proper fraction's square is always less than the given fraction.
Therefore, the given statement is true.
Thus, option (1) is correct.

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