Solution:

Since the door is not visible in this picture, the bus is moving in the left direction.

Solution:

Playing chess

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

Solution:

Here is a way to do it. We dont know if it can be done using some other arrangement or not. If you know, do send us.

4 | 3 | 8
9 | 5 | 1
2 | 7 | 6

Solution:

The attached picture shows you how you can do it. If you were able to deduce any other way, feel free to comment.

Solution:

As shown in the picture below, you should tilt the barrel so the liquid will touch the upper end of the barrel. So if the bottom part of the barrel is visible then it's not half full.

Solution:

They were the same person "Grover Cleveland".

Solution:

Batsman-8

1st over:
1st Ball, Batsman-1 got out
2nd Ball, Batsman-3 got out
3rd Ball, Batsman-4 got out
4th Ball, Batsman-5 got out
5th Ball, Batsman-6 got out
6th Ball, Batsman-7 got out

Before the start of a new over, the batsmen will swap strikes.
i.e Batsman-2 at nonstriker will become striker and batsman-8 will go at the nonstriker end.

2nd over:
1st Ball, Batsman-2 got out
2nd Ball, Batsman-9 got out
3rd Ball, Batsman-10 got out
4th Ball, Batsman-11 got out.

Solution:

7, 4, 6, 5, 8

Solution:

Jeff Killed Mike

1. Jack is not the murderer, because he is the brother of the murderer.
2. Dan can't be the murderer since he ran a marathon, and the murderer recently had his leg amputated, and wouldn't be running a marathon of any magnitude that quickly.
3. Ben is not the murderer if he just met Jack, since Jack and the murderer grew up together.
4. This leaves Jeff and Mike.

Since Jeff is still alive (he wants to install a new computer next week, present tense) he must be the murderer. Mike also didn't grow up with Jack. It has been determined that Jack, Dan and Jeff are all alive. Ben must also be alive since Jeff plans to install Ben's computer next week. This means that Jeff killed Mike.

Solution:

1. Fill 5 liters jar ( 5l-jar:5, 3l-jar:0)
2. Transfer to 3 liters pail (5l-jar:2, 3l-jar:3)
3. Empty 3 liters jar ( 5l-jar:2, 3l-jar:0)
4. Transfer 2q from 5 pail to 3 pail (5l-jar:0, 3l-jar:2)
5. Fill 5 liters pail(5l-jar:5, 3l-jar:2)
6. Transfer 1q from 5 pail to 3 pail(5l-jar:4, 3l-jar:3)