Anyone good at logic puzzles?

[yg17]

Figure this one out:

"Gito's Pizzeria makes Friday deliveries to an apartment building. Last Friday, Fred and the five other tenants who live in the building ordered pizzas from Gito's, with each of the six having a different kind of pizza delivered to his or her apartment. The building is 3 stories, with two apartments on each floor, those on the west side of the building numbered 1W, 2W, and 3W from bottom to top, and those on the east side of the bulding numbered 1E, 2E, 3E from bottom to top. Given the clues that follow; can you find the full name of the person living in each apartment in the building and the kind of pizza he or she ordered Friday night?"

1. The person whose order was a mushroom pizza lives one floor higher in the building than Morton.

2. Nichols and the person who ordered a pepperoni pizza both gave $5 tips to the driver.

3. Alicia and Mr. Keller live on the same floor of the building.

4. Ms. Owens has the apartment directly above that of the person who had a Hawaiian pizza.

5. Langhorn's apartment is not 3E.

6. The person who had a cheese pizza lives directly above Mr. Purvis.

7. Dave and the person who had a hamburger pizza live on the same floor.

8. Alicia ordered niether a Hawaiian nor a hamburger pizza.

9. Erica and the person who had a sausage pizza live on the same floor of the building.

10. Cynthia's apartment is directly above Bill's.

11. Hawaiian pizza was neither Erica's nor Mr. Keller's choice.

12. Dave did not order a sausage pizza.

13. Ms. Owens isn't the one who ordered a cheese pizza.

I'm normally pretty good at these, but after 30 minutes, I gave up and decided I'd rather call Gito's to find out this information

I really don't think it gives you enough info to solve it, but I want a few others to agree with me so I don't feel like such an idiot

 

[swiftaw]

Love these, will have answer shortly

 

[yg17]

Love these, will have answer shortly

We'll see about that



I just realized that the question is "can you find the full name...." So I think the entire thing might be a trick, because it's not asking you to solve it, it's asking you if you can solve it, and I think the answer's "no"

 

[chriswheat]

I'm trying to solve it. Where did you find it? Is it somewhere that may try to trick you with the "can"? I don't want to waste too much time if it's not solvable.

 

[swiftaw]

I've playing around with it, there doesn't seem to be enough information for there to be a unique solution. That is, I think there are several combinations that solve it.

 

[chriswheat]

Solved. I believe that there is just one, unique solution. I am going to retrace my steps and document them and I'll post back soon.

 

[yg17]

Wirelessly posted (HTC_P4350 Mozilla/4.0 (compatible; MSIE 6.0; Windows CE; IEMobile 6.12))

I'm trying to solve it. Where did you find it? Is it somewhere that may try to trick you with the "can"? I don't want to waste too much time if it's not solvable.

I found it on another forum.

 

[twistedlegato]

Oh no not these

I absolutely hate them Mostly the math ones. " I am a palindrome in which the sum of my numbers minus the hundreds digit equals 99 times 4. What number am i?"

Just made that up dont even try to to solve it

 

[ieani]

Alright took me about 40 min. but heres my answer(scroll down):


SPOILER AHEAD



Dont Cheat!

If anyone has any objections let me know. Oh how I figured it out. I started with hawaiian pizza and then the fact that alicia and keller were on the same floor. I figured keller and alicia were in the middle bc neither had hawaiian so they had to 2nd or 3rd and the 3rd floor i thought had to be girls since cynthia was above a bill. and then went from there clue by clue. I made a ton of charts and listed the floor and pizza exceptions and slowly but surely narrowed it down.

 

[chriswheat]

I put together the list of how I came to the conclusions listed below.

• We can establish 3 floors: Floor A (Alicia and Mr. Keller), Floor B (Erica and sausage), Floor C (Dave and hamburger)
  
  [*]Detail: Clue 3 tells us that Alicia and Mr. Keller share a floor. Clue 9 tells us that Erica and the sausage eater share a floor. (Therefore, Alicia and Erica must be on separate floors. That’s two floors.) Clue 7 tells us that Dave and the hamburger eater share a floor. Clue 8 says that Alicia didn’t have a hamburger pizza, therefore she couldn’t be sharing a floor with Dave. Also, Clue 12 says that Dave didn’t have a sausage pizza. (Therefore Dave didn’t share a floor with Erica. That makes three floors.)​
• The Hawaiian pizza wasn’t delivered to Floor A or B. Therefore Dave ate Hawaiian pizza.
  
  [*]Detail: Clue 11 tells us that Erica didn’t eat Hawaiian Pizza. (Floor B is out.) Clue 11 also tells us that Mr. Keller did not have Hawaiian pizza, nor did Alicia in clue 8. (Floor A is out). Since Dave lives on Floor C with the hamburger eater, and the Hawaiian pizza was delivered to Floor C, Dave must have eaten Hawaiian pizza.​
• Ms. Owens lives directly above Dave. She is not Cynthia.
  
  [*]Detail: Clue 4 tells us that Ms. Owens lives above the hawaiian pizza eater. (Therefore, above Dave.) Clue 10 tells us that Cynthia lives above Bill. (Therefore, Ms. Owens is not Cynthia.)​
• Ms. Owens is Alicia.
  
  [*]Detail: This gets quite tricky. You have to do some trial-and-error and assume for now that Ms. Owens is Erica. Since we know Ms. Owens lives directly above Dave, the sausage pizza eater would have to live above the hamburger eater. Clue 13 tells us that Ms. Owens didn’t eat cheese pizza. This would mean that the person with the cheese pizza lives above the sausage eater. Clue 6 tells us that the person who ate cheese pizza lives above Mr. Purvis. Therefore, we would assume that Mr. Purvis ate sausage and lived on the middle floor. Since the only spot left for a female name is the “hamburger” spot on the lowest floor, it would be impossible to fulfill Clue 10, that Cynthia’s apartment is above Bill’s. Therefore, Ms. Owens can’t be Erica and must be Alicia.​
• Mr. Keller lives above the person with the hamburger pizza.
  
  [*]Detail: Clue 4 tells us that Ms. Owens lives above the person who ate Hawaiian pizza. Since Ms. Owens is Alicia, Dave ate Hawaiian pizza, and Mr. Keller lives on the same floor as Alicia (Ms. Owens), Mr. Keller must live above the person who ate a hamburger pizza.​
• Mr. Keller ate a cheese pizza, and Mr. Purvis ate a hamburger pizza.
  
  [*]Detail: Clue 6 says that the person who had a cheese pizza lives directly above Mr. Purvis. Therefore Mr. Purvis must live on either the first or second floor. Clue 10 also tells us that Cynthia’s apartment is above Bill’s. There is no way that Cynthia can be on the second floor, so Cynthia must live on the third floor, Alicia and Mr. Keller must live on the second floor, and Dave and the hamburger eater must live on the first floor. If Alicia Owens lives above Dave, the Hawaiian pizza eater, Mr. Keller must have ordered a cheese pizza, and Mr. Purvis ordered the hamburger pizza.​
• Mr. Keller is Bill. Mr. Purvis is Fred.
  
  [*]Detail: Since Cynthia lives on the 3rd floor, and Clue 10 tells us she lives above Bill, Mr. Keller must be Bill. Also, by elimination, Mr. Purvis must be Fred.​
• Cynthia had sausage pizza. Erica lives above Alicia.
  
  [*]Detail: Clue 9 tells us that Erica and the person who ordered sausage pizza live on the same floor. This must be the third floor, and Cynthia must have eaten sausage pizza. Therefore Erica lives above Alicia.​
• Dave’s last name is Morton. Alicia had a mushroom pizza. Erica had pepperoni pizza.
  
  [*]Detail: Clue 1 tells us that the person with the mushroom pizza lives above Morton. Since Morton can’t be on the second floor, they must be on the first floor, and they must be Dave. Since Alicia lives above Dave, she must have eaten the mushroom pizza. Also, by elimination, Erica must have had pepperoni pizza.​
• Erica’s last name is Langhorn. Cynthia’s last name is Nichols.
  
  [*]Detail: Clue 2 tells us that Nichols and the person who ordered pepperoni are two different pizza. By elimination, either Erica or Cynthia must be Nichols. Since Erica ordered pepperoni, Cynthia must be Nichols.​
• Erica Langhorn lives in Apt. 3W.
  
  [*]Detail: Clue 5 tells us that Erica Langhorn does not live in 3E, therefore she must live in 3W.​
  
  So, it must be:
  
• Erica Langhorn, Pepperoni, 3W
• Cynthia Nichols, Sausage, 3E
• Alicia Owens, Mushroom, 2W
• Bill Keller, Cheese, 2E
• Dave Morton, Hawaiian, 1W
• Fred Purvis, Hamburger, 1E

 

[ieani]

I put together the list of how I came to the conclusions listed below.

• We can establish 3 floors: Floor A (Alicia and Mr. Keller), Floor B (Erica and sausage), Floor C (Dave and hamburger)
  
  [*]Detail: Clue 3 tells us that Alicia and Mr. Keller share a floor. Clue 9 tells us that Erica and the sausage eater share a floor. (Therefore, Alicia and Erica must be on separate floors. That’s two floors.) Clue 7 tells us that Dave and the hamburger eater share a floor. Clue 8 says that Alicia didn’t have a hamburger pizza, therefore she couldn’t be sharing a floor with Dave. Also, Clue 12 says that Dave didn’t have a sausage pizza. (Therefore Dave didn’t share a floor with Erica. That makes three floors.)​
• The Hawaiian pizza wasn’t delivered to Floor A or B. Therefore Dave ate Hawaiian pizza.
  
  [*]Detail: Clue 11 tells us that Erica didn’t eat Hawaiian Pizza. (Floor B is out.) Clue 11 also tells us that Mr. Keller did not have Hawaiian pizza, nor did Alicia in clue 8. (Floor A is out). Since Dave lives on Floor C with the hamburger eater, and the Hawaiian pizza was delivered to Floor C, Dave must have eaten Hawaiian pizza.​
• Ms. Owens lives directly above Dave. She is not Cynthia.
  
  [*]Detail: Clue 4 tells us that Ms. Owens lives above the hawaiian pizza eater. (Therefore, above Dave.) Clue 10 tells us that Cynthia lives above Bill. (Therefore, Ms. Owens is not Cynthia.)​
• Ms. Owens is Alicia.
  
  [*]Detail: This gets quite tricky. You have to do some trial-and-error and assume for now that Ms. Owens is Erica. Since we know Ms. Owens lives directly above Dave, the sausage pizza eater would have to live above the hamburger eater. Clue 13 tells us that Ms. Owens didn’t eat cheese pizza. This would mean that the person with the cheese pizza lives above the sausage eater. Clue 6 tells us that the person who ate cheese pizza lives above Mr. Purvis. Therefore, we would assume that Mr. Purvis ate sausage and lived on the middle floor. Since the only spot left for a female name is the “hamburger” spot on the lowest floor, it would be impossible to fulfill Clue 10, that Cynthia’s apartment is above Bill’s. Therefore, Ms. Owens can’t be Erica and must be Alicia.​
• Mr. Keller lives above the person with the hamburger pizza.
  
  [*]Detail: Clue 4 tells us that Ms. Owens lives above the person who ate Hawaiian pizza. Since Ms. Owens is Alicia, Dave ate Hawaiian pizza, and Mr. Keller lives on the same floor as Alicia (Ms. Owens), Mr. Keller must live above the person who ate a hamburger pizza.​
• Mr. Keller ate a cheese pizza, and Mr. Purvis ate a hamburger pizza.
  
  [*]Detail: Clue 6 says that the person who had a cheese pizza lives directly above Mr. Purvis. Therefore Mr. Purvis must live on either the first or second floor. Clue 10 also tells us that Cynthia’s apartment is above Bill’s. There is no way that Cynthia can be on the second floor, so Cynthia must live on the third floor, Alicia and Mr. Keller must live on the second floor, and Dave and the hamburger eater must live on the first floor. If Alicia Owens lives above Dave, the Hawaiian pizza eater, Mr. Keller must have ordered a cheese pizza, and Mr. Purvis ordered the hamburger pizza.
  [*]Mr. Keller is Bill. Mr. Purvis is Fred.​
  [*]Detail: Since Cynthia lives on the 3rd floor, and Clue 10 tells us she lives above Bill, Mr. Keller must be Bill. Also, by elimination, Mr. Purvis must be Fred.​
• Cynthia had sausage pizza. Erica lives above Alicia.
  
  [*]Detail: Clue 9 tells us that Erica and the person who ordered sausage pizza live on the same floor. This must be the third floor, and Cynthia must have eaten sausage pizza. Therefore Erica lives above Alicia.​
• Dave’s last name is Morton. Alicia had a mushroom pizza. Erica had pepperoni pizza.
  
  [*]Detail: Clue 1 tells us that the person with the mushroom pizza lives above Morton. Since Morton can’t be on the second floor, they must be on the first floor, and they must be Dave. Since Alicia lives above Dave, she must have eaten the mushroom pizza. Also, by elimination, Erica must have had pepperoni pizza.​
• Erica’s last name is Langhorn. Cynthia’s last name is Nichols.
  
  [*]Detail: Clue 2 tells us that Nichols and the person who ordered pepperoni are two different pizza. By elimination, either Erica or Cynthia must be Nichols. Since Erica ordered pepperoni, Cynthia must be Nichols.​
• Erica Langhorn lives in Apt. 3W.
  
  [*]Detail: Clue 5 tells us that Erica Langhorn does not live in 3E, therefore she must live in 3W.​
  
  So, it must be:
  
• Erica Langhorn, Pepperoni, 3W
• Cynthia Nichols, Sausage, 3E
• Alicia Owens, Mushroom, 2W
• Bill Keller, Cheese, 2E
• Dave Morton, Hawaiian, 1W
• Fred Purvis, Hamburger, 1E

Wow nice! And a much better explanation for answer than mine.

 

[CalBoy]

^^^Great solution guys. I'm still going step by step so I have a reason for each particular that's in my own terms, but your explanations were great.

While we're doing logic puzzles, here's one for you:

There are 12 coins that are physically identical. 1 of them is counterfeit and could weigh more or less than the other 11. With only a balance scale (will not give you exact weight-only a heavier/lighter indication) and a total of three weighs, can you determine which coin is fake and whether or not it is heavier or lighter than the others?

If you've seen this puzzle before, please don't ruin it for others.

 

[notjustjay]

can you determine which coin is fake and whether or not it is heavier or lighter than the others?

Yes.

 

[CalBoy]

Yes.

I guess that means you have the solution right? Care to post it? (With a spoiler warning o/c ).

 

[notjustjay]

I guess that means you have the solution right? Care to post it? (With a spoiler warning o/c ).

Heh. Actually, I know the solution exists because I've seen the puzzle before, and submitted an answer to a contest at work that was almost right (sometimes you needed 4 weighings). You can Google search to find answers, there appear to be several. All of which are more clever than what I could have come up with.

(My solution, which is almost correct - SPOILER ALERT - was to break the coins into 3 groups of 4, weigh them to find out which group of 4 contained the odd coin, thus also confirming the other eight as known-good weights. Then weigh a pair from the mystery group against a pair from a known-good group, thus narrowing down the mystery coin to one of two pairs. Then you'd weigh a single coin from the pair against another single coin from a known-good group to find the odd one.