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Q.

Find the greatest 4 digit number which is a perfect square?

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a

9801

b

9999

c

1000

d

9898

answer is A.

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Detailed Solution

Concept- First, find the smallest 5-digit number that is a perfect square. Once found, subtract 1 from the square root of the smallest 5-digit full square number and square it to get the largest 4-digit full square number.
The maximum 4-digit number is 9999, which is not a perfect square.
Consider a minimum of 5 digits. That's 10000. 10000 is a perfect square.

The smallest 5-digit number is a perfect square of 100, and the largest 4-digit number that should be a perfect square is one less than 100.

Hence, the correct answer is option 1) .

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