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Question

How many numbers lie between 122 and 132??

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Solution

For any two consecutive natural numbers, n and n+1, the numbers lying in between n2 and (n+1)2 is 2n. The pattern can be recognized by observing the natural numbers lying between squares of 1 and 2. then 2 and 3, and so on.

so here btw 12^2 and 13^2

number lying is 2 x 12 =24

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