Find the greatest three-digit number which is a perfect square.

961

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860

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780

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859

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Solution

The correct option is A
961

Since the greatest three-digit number is 999.
Now, find the square root of 999 by long division method.
$\begin{matrix} 31 3 & ¯ 9 ¯ ¯¯¯¯ ¯ 99 - 9 61 & 099 - 61 38 \end{matrix}$
Hence, the greatest three-digit number which is a perfect square = 999 - 38 = 961.

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Similar questions

Find the greatest number of three digits which is a perfect square.

Column I	Column II
Greatest 3 digit perfect square	$1, 024$
Smallest 5 digit perfect square	$9, 801$
Smallest 3 digit perfect square	$961$
Greatest 4 digit perfect square	$10, 000$
Smallest 4 digit perfect square	$100$

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