The least number of four digits which is a perfect square is

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1100

1210

1024

1081

answer is C.

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Detailed Solution

We know that smallest four-digit number = 1000
Now, from long division method we get,
Question Image

As, the number 31 can not completely divisible by the smallest 4 digit number. Thus, the number 32 will be the number smallest number whose square is perfect square.
Now we get the reminder 8 when

32

divide 1000.
So, the number which should be added in 1000 to make it smallest 4 digit perfect square number,

32 - 8 = 24

So, 24 should be added in 24 as,

1000 + 24 = 1024

So, 1024 is a perfect square smallest 4 digit number.
Option 3 is correct.

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Best Online Course for CBSE