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Squares And Square Roots

Question
CBSEENMA8002421

How many natural numbers lie between 92 and 102? Between 112 and 122?

Solution

(a) Between 92 and 102

Here, n = 9 and n + 1 = 10

 ∴ Natural number between 92 and 102 are (2 × n) or 2 x 9, i.e. 18.

(b) Between 112 and 122

Here, n = 11 and n + 1 = 12

 ∴ Natural numbers between 112 and 122 are (2 × n) or 2 × 11, i.e. 22.