Which of the following is a rational number and an irrational number lying between -0.15 and 0.16?

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A rational number 0.2 and an irrational number 0.030030003…

A rational number 0.1 and an irrational number 0.030030003…

A rational number 0 and an irrational number 0.909009000….

A rational number -1 and an irrational number 0.909009000….

answer is B.

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Detailed Solution

It is given that we have to find a rational number and an irrational number lying between -0.15 and 0.16.
A rational number is of the form

p q,

where p and q are integers and

q ≠ 0

, otherwise, it is an irrational number.
We know that there is infinite number of rational and irrational values between any two numbers.
Looking at the options, the rational numbers between -0.15 and 0.16 is 0.1.
To find an irrational number between -0.15 and 0.16, it should be a non-terminating, non-recurring number lying between them. Therefore, such numbers will be 0.030030003…
Therefore, the correct options is (2).

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