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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Question : The least six-digit number, which is a perfect square, is:
Option 1: 100489
Option 2: 10000
Option 3: 100256
Option 4: 100255
Question : Let $x$ be the least number which when subtracted from 10424 gives a perfect square number. What is the least number by which $x$ should be multiplied to get a perfect square?
Option 1: 3
Option 2: 2
Option 3: 6
Option 4: 5
Question : If a perfect square, not divisible by 6, is divided by 6, the remainder will be:
Option 1: 1, 3 or 5
Option 2: 1, 2 or 5
Option 3: 1, 3 or 4
Option 4: 1, 2 or 4
Question : If $4x^2-12x+k$ is a perfect square, then the value of $k$ is:
Option 1: 2
Option 2: 9
Option 3: 12
Option 4: 10
Question : Find the least number divisible by 2, 3, 5, 6, 9, and 18 which is a perfect square.
Option 1: 900
Option 2: 400
Option 3: 144
Option 4: 3600
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