Question

How many numbers lie between squares of the following numbers?

(i) 12 and 13 (ii) 25 and 26 (iii) 99 and 100

Answer 1

We know that there will be 2n numbers in between the squares of the numbers n and (n + 1).

(i) Between 12² and 13², there will be 2 × 12 = 24 numbers

(ii) Between 25² and 26², there will be 2 × 25 = 50 numbers

(iii) Between 99² and 100², there will be 2 × 99 = 198 numbers