After a local art theft, six suspects were being interviewed. Below is a summary of their statements.

Police know that exactly four of them told one lie each and all of the other statements are true. From this information can you tell who committed the crime?

Alan said:

It wasn’t Brian
It wasn’t Dave
It wasn’t Eddie

Brian said:

It wasn’t Alan
It wasn’t Charlie
It wasn’t Eddie

Charlie said:

It wasn’t Brian
It wasn’t Freddie
It wasn’t Eddie

Dave said:

It wasn’t Alan
It wasn’t Freddie
It wasn’t Charlie

Eddie said:

It wasn’t Charlie
It wasn’t Dave
It wasn’t Freddie

Freddie said:

It wasn’t Charlie
It wasn’t Dave
It wasn’t Alan

Below are four multiple-choice entrance exam questions. Can you find the answers?

1. The answer to Question 2 is:

A. B
B. A
C. D
D. C

2. The answer to Question 3 is:

A. C
B. D
C. B
D. A

3. The answer to Question 4 is:

A. D
B. A
C. C
D. B

4. The answer to Question 1 is:

A. D
B. C
C. A
D. B

Five potential donors are sitting on a bench from left to right outside the surgery room and are waiting for the doctor. Their ages are 6, 10, 31, 47 and 61. Their heights are 41, 49, 61, 66 and 75 inches. Their weights are 41, 76, 97, 126 and 166 pounds.

Determine the position, blood group, age, height and weight of each of them with the help of the following ten hints.

1. The person on the far right is 37 years older than Jimmy, and is 61 inches tall.
2. Jimmy weighs 56 pounds more than his height.
3. Alexandrio weighs 76 pounds and is 75 inches tall.
4. Justin is type AB and weighs 56 pounds less than Jimmy.
5. The person in the center is 10 years old, is blood type AO and weighs 97 pounds.
6. Andrew, who is the first, is 66 inches tall, and weighs 100 pounds more than his height.
7. The person who is blood type O, is 25 years older than the person to the left of them.
8. Kian is 61 years old.
9. The person who is blood type A, is 55 years younger than Kian and is not next to the person who is type AO.
10. The person who is next to the 10 year old but not next to the person who is 66 inches tall, is blood type B, and weighs 126 pounds.

There are 13 caves arranged in a circle. There is a thief hiding in one of the caves. Each day the thief can move to any one of the caves that is adjacent to the cave in which he was staying the previous day. And each day, two cops search any two caves of their choice for the thief. So, one cave is searched per cop per day.

The following conditions apply.

1. The thief may either move to an adjacent cave or stay in the same cave.
2. The cops can check any two caves each day, they do not need to be adjacent.
3. The thief only moves to the adjacent cave when the cops are making their rounds.
4. If the thief moves from cave X to adjacent cave Y and if one of the cops is going to check on either cave X or cave Y, the thief will be caught.

What is the minimum number of days to guarantee in which the cops can catch the thief?