Question : The greatest perfect square number of six digits is:
Option 1: 999001
Option 2: 998001
Option 3: 998009
Option 4: 998101
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Correct Answer: 998001
Solution :
Greatest six-digit number = 999999
But 999999 is not a perfect square.
If we add 1 to 999999 = (1 + 999999) = 1000000
$1000000= (1000)^{2}$
1000000 is a perfect square of 1000, but it has seven digits.
So, $(1000-1)^{2} = (999)^{2} = 998001$
So, 998001 is a perfect square number of six digits.
Hence, the correct answer is 998001.
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