A rubber ball keeps on bouncing back to 2/3 of the height from which it is dropped. Can you calculate the fraction of its original height that the ball will bounce after it is dropped and it has bounced four times without any hindrance ?

I am a word of 12 alphabets.

* Alphabets 12, 4, 7, 2, 5 : Eastern beast of burden
* Alphabets 1, 8, 10, 9 are street made famous by Sinclair Lewis.
* Alphabets 11, 3, 6 are past.

On whole it means a person suffering from delusions of greatness.

What Is it ?

Replace the question mark with the correct number.

How high do you have to count before you use the letter “a” in the English spelling of the whole number?

The day before yesterday I was 25 and the next year I will be 28. This is true only one day in a year. What day is my birthday?

You have a three-gallon and a five-gallon measuring device. You wish to measure out four gallons.

What has a ring but no finger?

A seven-year-old kid challenged his classmates that he can make the number one disappear by adding something to it.

How can he do that?

There is something which is always coming but never arrives?

A horse was tied to a rope 5 meters long and the horses food was 15 meters away from the horse. How did the horse reach the food?