Finding the Square of a Number

Q. Find the square of $31$.

Q.

The square root of $24025$ will have _________ digits.

Q.

Find the number of digits in the square root of $2500$ (without any calculation).

Q.

Akanksha was asked to multiply a number by its successor. But she was careless and multiplied the number with itself. When she rechecked, she found the error and added the original number to the final result. The result is

___

(less/more/equal to) the actual correct answer.

Q. If $a=2$ and $b=3$, find the value of
(i) $(a+b{)}^2$
(ii) $(b-a{)}^3$

Q. Find $x$:
$3^x-3=2\sqrt{3^x}(2\sqrt{3^x}=u)$

Q. What is the smallest natural number which when added to the difference of squares of 17 and 13 gives a perfect square?

1. 24
2. 1
3. 5
4. 11

Q. The area of a square park is the same as that of a rectangular park. If the side of the square park is 60 metres and the length of the rectangular park is 90 metres, calculate the breadth of the rectangular park.

1. 50 m
2. 40 m
3. 60 m
4. 45 m

Q. Determine the square of $\frac{23}{5}$.

Q. $\text{Find the value of}{1111}^2.$

1. 134431
2. 1234321
3. 1334321
4. 1234331

Q.

Akanksha was asked to multiply a number by its successor. But she was careless and multiplied the number with itself. When she rechecked, she found the error and added the original number to the final result. The result is

___

(less/more/equal to) the actual correct answer.