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

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 ?

Create a number using only the digits 4,4,3,3,2,2,1 and 1. So i can only be eight digits. You have to make sure the ones are separated by one digit, the twos are separated by two digits the threes are separated with three digits and the fours are separated by four digits

An old Woman left INR 33,333 to be divided equally among two fathers and two sons and each was to receive INR 11,111.
How was this possible?

In the Chess Board picture below white army is arranged. You need to add a black army on the board such that no piece is under any threat.
Note: Army comprised of 1 king, 1 queen, 2 rooks, 2 bishops, 2 knights, and 8 pawns.

Can you think of a smallest +ve number such that if we shuffle the digits of the number, the new number becomes double the original number?

There are 2 people near the river and both of them want to get on the other side. The boat can only take one of them. But they got across.
How?

On rolling two dices (six-sided normal dice) together, what is the probability that the first one comes up with a 2 and the second one comes up with a 5?

I am sure no one can have two things for dinner. what are they?

By removing one matchstick and adding one matchstick, can you convert the word "ZOO" to an animal name?