Solution:

16/81

Explanation:
It is a question of geometric progression but we can solve it step by step as well in case you are not aware of the formula.

At first bounce
The height at which the ball would have reached = 2/3 of the original height from which it was dropped.

At second bounce
The height at which the ball would have reached = 2/3 * 2/3 of the original height from which it was dropped.

At third bounce
The height at which the ball would have reached = 2/3 * 2/3 * 2/3 of the original height from which it was dropped.

At fourth bounce
The height at which the ball would have reached = 2/3 * 2/3 * 2/3 * 2/3 of the original height from which it was dropped.

Now, 2/3 * 2/3 * 2/3 * 2/3 = 16/81

Therefore, 16/81 of the original height from which the ball was dropped is the required fraction height.

Solution:

Solution:

76

Solution:

Pirates of the Caribbean

Solution:

100

Series of number that do not contain albhabet 'T'

Solution:

Nothing is the name of a boat that has been lying docked up to one corner of the island. You found it first and then the torn pieces of paper reviled a map that can be used to navigate while driving that ship. Thus using them, you will be able to make an escape.

Solution:

The last missing throw will have 3 as the result. This is because, with each pair of the throws you can find that the total sum is increasing by three and then decreasing by one. Therefore the missing throw be 3.

Solution:

Picture D.

Explanation:
Since the number of black dots are increasing in picture D, so it can be only solution.

Solution:

Yes, some people are going get really tiny pieces but you were allowed for that right. Also, there is another way of doing it. Can you think of it?

Solution:

101

Assuming '?' is no. of runs needed by Ajit in 51st inning.
(50 * 50 + ?)/51 = 51
=>2500 + ? = 51 * 51
=> ? = 2601 - 2500
=> ? = 101 (Answer)

Solution:

This is because I have three quarters, four dimes and four pennies contributing to $1.19. But in no way I can pay a dollar exactly.

Solution:

Playing chess

Game needs two players so Brother-8 is playing chess with Brother-2

Solution:

Feeling on top of the World

Solution:

You might be laughing by looking at the answer now. This is how you would have trashed the figure if you were unable to solve it right? But did you know that this could possibly give you the required solution?

Solution:

You will know what to do by looking at the picture. This was fun right? Now go ask your friends to do it.

Solution:

180

2 + 2 = 4 {2 * 2 * 1}
3 + 3 = 18 {3 * 3 * 2}
4 + 4 = 48 {4 * 4 * 3}
6 + 6 = 180 {6 * 6 * 5}

Solution:

This can be done if you draw a five pointed star and place the balls on the corners and intersection points. See the figure to understand better.

Solution:

This is a tricky question and you know that by looking at the answer image.

Solution:

2

Solution:

I have just two tee shirts neither of which are green, blue or orange in color.