What is the number of non-perfect square natural numbers that lies between $182$ and $192$ ?

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answer is C.

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Detailed Solution

It is required to find the number of non-perfect square natural numbers that lies between

182

and

192

.
We are aware that, between the squares of the numbers n and (n+1), there are 2n non-square numbers.
Here n = 18.
The squares of the numbers n and (n+1) lie between 2n non-square numbers, thus

⇒ 2 × 18 ⇒ 36

Hence, the number of non-perfect square natural numbers between

182

and

192

is 36.
Therefore, option 3 is correct.

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