Which three-digit number, made of consecutive digits, like 567, is 2 less than a cube and 2 more than a square?

I possess a head

I flaunt a tail

But I don't have mouth or legs

Can you find out who I am?

There is a circular car race track of 10km. There are two cars, Car A and Car B. And they are at the exact opposite end to each other. At Time T(0), Both cars move toward each other at a constant speed of 100 m/seconds. As we know both cars are at the same speed they will always be the exact opposite to each other.
Note, at the center, there is a bug which starts flying towards Car A at time T(0). When the bug reaches car B, it turns back and starts moving towards the car A. The speed of bug is 1m/second. After 5 hours all three stop moving.
What is the total distance covered by the bug?

Can you find a number that lies one third of the distance between 1/3 and 2/3?

How many sides does a circle have?

Find three numbers such that

* When we multiply three numbers, we will get the prime numbers.
* The difference between the second and the first number is equal to the third and second.

Arrange the numbers 1, 2, 3, 4, 5, 6, 7, 8 and 9 above and below the division line in a manner that the thus formed fractions equal to 1/3.

(You can use one number only once)

John said, "If yesterday was tomorrow, today would be Friday."

When did John make this statement?

It walks on 4 when its young, walks on 2 when it's older, and walks on 3 when its very old?

The first two letters signify a male, the first three letters signify a female, the first four letters signify a great, while the entire world signifies a great woman. What is the word?