Find the greatest four digit number which is a perfect square.

9221

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9299

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9801

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9461

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Solution

The correct option is C 9801
Greatest four digit number is 9999
We find square root of 9999 by division method.

The remainder 198 shows that it is less than 9999 by 198
This means if we substract 198 from 9999, we get a perfect square.
$∴$ 9999 - 198 = 9801 is required perfect square.

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What is the least number which must be subtracted from greatest four digit number so as to get a perfect square?

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