Which of the following is a rational number and an irrational number between 2.357 and 3.121?

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A rational number 3 and an irrational number 3.101101110….

A rational number 10 and an irrational number 3.021045167189….

A rational number 10 and an irrational number 2.

None of the above

answer is A.

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Detailed Solution

It is given that we have to find a rational number and an irrational number between 2.357 and 3.121.
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 an infinite number of rational and irrational values between any two numbers.
Looking at the options, the rational numbers between 2.357 and 3.121 is 3.
To find an irrational number between 2.357 and 3.121, it should be a non-terminating, non-recurring number lying between them.
Looking at the options, such a number will be 3.101101110….
Therefore, the correct option is (1).

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