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Q.

What is the greatest six digit number that is a perfect square?


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a

998004

b

998006

c

998049

d

998001

answer is D.

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Detailed Solution

The problem requires us to find the greatest six-digit number that is a perfect square. The smallest seven-digit number known to us is 1000000  . We also know that 1000000   is equal to (1000) 2  . Also, we can see that 1000   is the smallest four-digit number. This means that the square of a number less than 1000   gives the greatest six-digit number that is a perfect square, implying that the square of 999   is the greatest six-digit number that is a perfect square.
So, 999 2 =998001   is the greatest six-digit number which is a perfect square.
Hence, the correct option is 4.
 
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