Find two irrational numbers lying between 0.1 and 0.12. Enter 1 if the numbers are 0.1010010001……. and 0.1101001000100001…..otherwise, enter 0.

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Neither 1 nor 0

Insufficient data to solve

answer is B.

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Detailed Solution

Concept: To locate the two irrational values between 0.1 and 0.12, we can apply the decimal technique. Keep in mind that an irrational number's decimal expansion is neither terminating nor recurrent.
We need to be familiar with irrational numbers in order to move further with the question. A real number that cannot be stated as an integer ratio is said to be irrational. Once more, an irrational number's decimal expansion is neither ending nor recurrent. Irrational numbers are real numbers that cannot be represented in the form of

where

and

are integers and

. For example

etc. In contrast, any number that can be written as

, where

and

are integers and

, is referred to as a rational number. For example

etc.
Let

and

.. Here, the numbers

and

are rational.
We use a random selection method to look for irrational numbers between any two supplied rational numbers, but it's important to keep in mind that these numbers must be non-terminating, non-recurring, and within the range of the given rational numbers.
The two irrational integers in the range of 0.1 and 0.12 are therefore 0.1010010001 and 0.1101001000100001 because neither of them is recurring or terminating.
We therefore input 1.
Hence, the correct answer is option 2

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