question_answer 9)

                How many numbers lie between squares of the following numbers? (i) 12 and 13                        (ii) 25 and 26                       (iii) 99 and 100.

Answer:

                (i) 12 and 13 Here, \[n=12\] \[\therefore \]  \[2n=2\times 12=24\] So, 24 numbers lie between squares of the numbers 12 and 13. (ii) 25 and 26 Here, \[n=25\] \[\therefore \]  \[2n=2\times 25=50\] So, 50 numbers lie between squares the numbers 25 and 26. (iii) 99 and 100 Here, \[n=99\] \[\therefore \]  \[2n=2\times 99=198\] So, 198 numbers lie between squares of the numbers 99 and 100.