Sarthaks Test
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How many numbers lie between squares of the following numbers?

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

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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

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