Square of a Number as a Sum of Two Numbers

Q. Express 25 as sum of two consecutive numbers.

1. (13, 14)
2. (10, 11)
3. (14, 15)
4. (12, 13)

Q. Square of any odd number n can be expressed as sum of two consecutive numbers as
$n^2=\frac{n^2-1}{2}+\frac{n^2+1}{2}$.

1. True
2. False

Q.

Question 40 (e)

Fill in the blanks with <, > or = sign.
$6^3\text{\_\_}{4}^4$

Q.

Fill in the blanks:- $6^2$ + $7^2$ + $($__${)}^2$ = ${43}^2$

Q. Between $3^2$ and $4^2$ there exist six non square numbers.

1. True
2. False

Q. What is the smallest number whose square is divisible by 3, 4, and 9?

1. 7
2. 10
3. 12
4. 6

Q. Between $n^2$ and $(n+1{)}^2$ there are $2n$ non square numbers.

1. False
2. True