Find the greatest 4 digits number which is a perfect square.

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9801

9999

1000

9898

answer is A.

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Detailed Solution

It is known that the greatest 4 digits is 9999 (as after this number we get 10000, which is 5 digit number).
Now the square root of the given number

= \sqrt{9999}

Here, use the long division method as,
Question Image

We get the remainder as 198. Now if we remove this remainder from 9999, the resultant number will be a perfect square.

9999 - 198 = 9801

Which is the square root of 99.

\sqrt{9801} = 99

Hence, 9801 is the greatest 4 which is a perfect square.
Correct option is 1.

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