Logic Riddles

Question: A man taking the census walks up to the apartment of a mathematician and asks him if he has any children and how old they are. The mathematician says "I have three daughters and the product of their ages is 72." The man tells the mathematician that he needs more information, so the mathematician tells him "The sum of their ages is equal to our apartment number." The man still needs more information so the mathematician tells him "My oldest daughter has her own bed and the other two share bunk beds."

How old are his daughters?

Question: Everyday a peasant must pay the king one pound of gold and leave it on a collection plate in front of his house. Every morning a guard comes by to make sure he has put a pound of gold on the plate. The king collects the gold every six days from the plate. If the peasant only has one six pound block of gold, how can he make only two parallel cuts and still follow the kings rules each day?

Question: Every time a man lies his nose grows to 150 percent of its size. Every time he tells the truth it shrinks to 50 percent of its size.

What will happen if he alternates between lies and the truth?

Question: Which is correct "The yolk of the egg is white" or "The egg yolk is white?"

Question: A school's computer system was recently hacked and the school has narrowed the pool of possible hackers to 5 people that were in the computer lab: Tyler, Justin, Chandler, Paige, and Shelley. Each of them gave three statements, two of which are true and one false.

Tyler
1. I didn't do it!
2. I've never hacked in my life.
3. Paige did it.
Justin
1. I didn't do it!
2. The attack was done from within the network.
3. I don't like Shelley.
Chandler
1. I didn't do it!
2. I've never seen Shelley in my life.
3. Paige did it.
Paige
1. I didn't do it!
2. Shelley did it.
3. Tyler was lying when he said I did it.
Shelley
1. I didn't do it!
2. Justin did it.
3. Chandler and I used to be friends.

Who hacked the system?