| komodo |
09-29-2005 02:12 PM |
Logic Puzzles
If you've heard these before, don't answer. :p They're some good ones.
1)
Quote:
There were three men in a line (facing forward) so they can only see the man (or men) in front of them. There are also five hats, two black and three white. Each man is wearing one of the hats.
When the man at the back of the line was asked "Do you know your hat color?", he replied "No". When the man that was second in line was then asked "Do you know your hat color?" he replied "No". When the man at the front of the line was asked "Do you know your hat color?" he replied "Of course".
What color of hat was the man at the front of the line wearing?
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2)
Quote:
If I think of a number between 1 and 1,000, guessing it in 10 yes-no questions is easy... so that's not the puzzle!
Guessing it in 10 yes-no questions, that must be all asked in advance, is also relatively easy... so that's not the puzzle either!
How many questions would you need to guess my number, if you had to ask all questions beforehand, and I also could lie once?
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3)
Quote:
Anne, Bernice and Claudia are three remarkable women, each having some remarkable characteristics.
(1) Just two are intelligent, just two are beautiful, just two are artistic and just two are rich.
(2) No one has more than three characteristics.
(3) Of Anne it is true that : if she is intelligent, she is rich.
(4) Of Bernice and Claudia it is true that: if she is beautiful, she is artistic.
(5) Of Anne and Claudia it is true that: if she is rich, she is artistic.
Who is not rich?
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4)
Quote:
Sir Levikus, one evening, rather unwisely, announced at dinner that he was cutting someone out of his will. Sure enough, the next morning, Sir Levikus was found slumped over the desk in his study, having been fatally stabbed with a paper-knife.
Herlock Sholmes, renowned private investigator, immediately began questioning all the suspects to discover who had seen the victim last.
Here are their statements, all of which are true:
a) His long-time friend, Martin, said : "I went to the study to show Sir Levikus a first edition I bought yesterday. He kept it to examine more closely."
b) Lady Jane (my sweet Lady Jane...), Sir Levikus´s wife (now widow), said : "I borrowed the evening newspaper from my husband. There was no paper-knife present at that time; I would have remembered it."
c) Nathan, the son of the deceased, said: "I did not have coffee with my father. When I went to the study he was reading the newspaper and smoking a cigar. He showed me Martin´s first edition."
d) Lisa, Sir Levikus´s daughter, said : "I went to return the newspaper mother had borrowed."
e) Tom, the butler, said: "As was usual after dinner, I brought the coffee service to the study. Sir Levikus was at his desk reading the evening newspaper."
f) Reny, the maid, said: "I only went in to clear the coffee service. I did see that four cups had been used."
g) Cristian, the brother of the murdered man, said: "Since there was no coffee when I went to the study, we had brandy together. I wanted to look at the newspaper, but it was not in the room."
h) Simone, Sir Levikus´s niece, said: "Certainly I recognize the paper-knife. My uncle brought it out when we were having coffee together. I noticed that one other cup had been used."
Herlock Sholmes´s incisive brain immediately determined who was the last person to visit Sir Levikus and thus, was his murderer.
Who was the killer? Can you list Sir Levikus´s eight visitors in order?
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5)
Quote:
The Hatter, the Hare, the Rabbit, the Mouse, Alice and I met for a Tea Party. The table had two sides, with three chairs on each side, numbered like so:
Side A: 1 2 3
Side B: 6 5 4
Chair one was across from chair 6, chair 2 across from chair 5, etc. We would sit down one at a time, in any chair we choose. The first guest to sit down was called the first guest. After the second guest sat down, however, everyone moved clockwise to the next chair. This behavior was continued after the fourth and sixth guest sat down.
My question is, after everyone had been seated, where was I seated?
(1) The first guest sat in chair 1.
(2) The mouse sat down last.
(3) After the first time everyone moved, no one had been on side B yet.
(4) The Hatter and Alice choose the same starting chair.
(5) When I was in chair 1, the Rabbit was in chair 6.
(6) I started on side B, but didn't end there.
(7) The hare moved all three times.
(8) Alice ended up between the mouse and the hare.
(9) I sat down after the rabbit but before the hatter.
(10) The mouse sat down in an odd numbered chair.
Also, a bonus question. Who am I?
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6)
Quote:
For Halloween one year four children, who are good friends, decided that they would each wear a different costume for trick-or-treating together.
One wore a skeleton costume, one dressed up as a pirate, one wore a scary witch costume, and one dressed up as Robin Hood. From the statements that follow, what is the surname (either Finley, Smith, or Dixon) of each child, and what was the costume each wore?
1. Jimmy and Molly, neither of whom wore a pirate costume or a witch costume, are brother and sister.
2. The Smith boy lives across the street from Jimmy and Molly; he didn't wear a witch costume.
3. Billy lives several blocks away, and he didn't wear a pirate costume.
4. The one who wore a skeleton costume was the hit of the evening. He was not Sam.
5. One of the Dixons wore a Robin Hood costume.
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7)
Quote:
Answer each of the 8 questions with a letter from A to D. The word "answer" in the test refers to YOUR answer, not some hypothetical "best" answer.
After choosing the 8 answers score the test by comparing each question with your answers.
Score 1 point for each question answered correctly, 0 otherwise.
Keep re-taking the test, trying to get the highest possible score. (Of course you must know what the highest possible score is in order to correctly score the last question!)
(1) The next question with the same answer as this one is:
(A) 2 (B) 3 (C) 4 (D) 5
(2) The first question with answer C is:
(A) 1 (B) 2 (C) 3 (D) 4
(3) The last question with answer A is:
(A) 5 (B) 6 (C) 7 (D) 8
(4) The number of questions with answer D is:
(A) 1 (B) 2 (C) 3 (D) 4
(5) The answer occuring the most is: (if tied, first alphabetically)
(A) A (B) B (C) C (D) D
(6) The first question with the same answer as the question following it is:
(A) 2 (B) 3 (C) 4 (D) 5
(7) The answer occuring the least is: (if tied, last alphabetically)
(A) A (B) B (C) C (D) D
(8) The highest possible score on this test is:
(A) 5 (B) 7 (C) 6 (D) 8
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