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Q.

State true or false:

3-5 is a rational number.

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a

True

b

False 

answer is B.

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Detailed Solution

We have to find whether 3-5 is a rational number.
Suppose 3-5 is a rational number.
Let 3-5=x where x is a rational number.
⇒3-x=5
Since x is a rational number, 3-x is also a rational number then 5 is a rational number, but it is known that 5 is an irrational number.
Therefore, our assumption is wrong.
Thus, the given statement is false.
The correct statement would be that 3-5 is an irrational number.
Hence, option 2 is correct.
 
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