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Q.

Find the greatest 4 digits 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

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 =9999 Here, use the long division method as,
Question ImageWe 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.
9801=99
Hence, 9801 is the greatest 4 which is a perfect square.
Correct option is 1.
 
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