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

We know:

There will be 2n numbers in between the squares of the numbers n and (n + 1)

Now,

(i) Between 122 and 132:

There will be 2 x 12

= 24 numbers

(ii) Between 252 and 262:

there will be 2 x 25

= 50 numbers

(iii) Between 992 and 1002, there will be 2 x 99

= 198 numbers

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