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Question


Find the value of x such that 11x is not a rational number.


Options:
A .   1
B .   2
C .   -1
D .   0
Answer: Option D
:
D

A number which can be written in the form pq , where p and q are integers and q ≠ 0 is called a rational number.
By the above definition, pq can be a rational number only when q ≠ 0.
So, for the given fraction to be not a rational number, x should be zero.
For all the other given values of x, we will obtain a rational number.
For example, when x = 1,
11x=111=11 
when x = 2,
11x=112=5.5 
when x = -1,
11x=111=11 



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