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:

7, 4, 6, 5, 8

Solution:

he was genius.

Officials must have thought he was jumping with a hostage, they would never risk giving him a faulty parachute.

Solution:

The apple grew inside the bottle. The bottle was placed on the tree branch before the apple was formed.

Solution:

The husband is blind, so the wife wouldn't ask him to look and tell her the remaining time, as she knows he can't see. Consequently, he believes something could be amiss and calls the police to ensure her safety.

Solution:

9

1(Mr. Beckham) + 1(Mrs. Beckham) + 6 (daughters) + 1 (brother).

Solution:

The bus doesn't have side mirrors and windshield wipers.

Solution:

Frank was born in room #1933

Solution:

11

10 people have pair of eyes, so 20 eyes.
So we have 10 people in addition to the man who dropped the book. She cannot look at herself, but she is still in the Church.

Solution:

The girl in the red shirt.
As she is eating a sandwich that looks like it's years old, and that might kill her.