Question

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

• A. $1100$
• B. $1210$
• C. $1024$
• D. $1081$

Answer 1

The correct option is C

$1024$

We know that the least four digit number is $1000$.

Using long division method we get,

The remainder is $39$.

Since, ${\left(31\right)}^2<1000$

Now, take next whole square i.e., ${\left(32\right)}^2$

${\left(32\right)}^2=1024$

Here, $1024>1000$.

Therefore, the least required four digit number which is a perfect square is $1024$.

So, Correct option is (C)