The correct option is C 1.01152243 ...
Consider the number 1.01152243.
1.01152243... > 1.011243... and 1.01152243... < 1.012243...
Hence, Irrational number between 1.011243... and 1.012243... is 1.01152243... .
Whereas option (a) is less than 1.011243.... and option (b) and (d) are greater than 1.012243.... So, they do not fall between 1.011243.... and 1.012243....