Sum of Random Consecutive Odd Numbers

Q.

There are _________ perfect cubes between $1$ and $1000$.

Q.

The difference of cubes of two consecutive numbers is always divisible by 3.

1. True

2. False

Q.

Express $7^3$ as a sum of 7 consecutive odd number.

1. 43, 45, 47, 49, 50, 53, 55

2. 43, 46, 47, 49, 51, 53, 55

3. 43, 45, 47, 49, 51, 53, 55

4. 43, 46, 47, 49, 51, 53, 55

Q. Every perfect cube number can be expressed as a sum of consecutive ______ numbers.

1. Prime
2. Square
3. Odd
4. Even

Q. $8^3$ can be expressed as a sum of 8 consecutive odd integers.

1. True
2. False