How many natural numbers lie between $5^{2}$ and $6^{2} ?$

$9$

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$10$

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$11$

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$12$

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Solution

The correct option is B
$10$

The explanation for the correct option.
Compute the required value.
Since, $5^{2} = 25$ and $6^{2} = 36$ .
So, the numbers lie between $25$ and $36$ are $26, 27, 28, 29, 30, 31, 32, 33, 34$ and $35$ .
Therefore, $10$ natural numbers lie between $5^{2}$ and $6^{2}$ .
Hence, the option $B$ is the correct answer.

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