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Logic puzzle

edited November 2009 in Everything Else
No Googling, no editing of your answer:
Jack is looking at Anne, but Anne is looking at George. Jack is married, but George is not. Is a married person looking at an unmarried person?

A) Yes.
B) No.
C) Cannot be determined.
And yes, I got it wrong myself ;-).

Edit: I'll post the explanation later so don't spoil it for the others by posting analysis!

Edit2: If you can, try not to read other peoples' answers before deciding for yourself.
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Comments

  • The answer can only be yes. Analysis is whispered to myself after this post for later reveal.
  • edited November 2009
    If Anne is married(to who is irrelevant) she's looking at George. The answer is Yes.

    If Anne is Unmarried, Jack, who is married(again, to who is irrelevant) he's looking at Anne. Again, the answer is Yes.

    According to the rules of the question, George cannot be married to either Jack or Anne.

    I can see where most people trip up - At first, I assumed that we need to know who Anne is Married to, and then I re-read the question, and realised that it doesn't matter who she's married to, just if she is or not.

    Then, upon further thought, I realised that this still doesn't matter, because Jack is always married, And therefore, If she's unmarried or married doesn't make a difference, because if one person in the question is always married, then one person is always looking at an unmarried person.

    To lay it out simply, with bolded arrows to indicate a connection that gives a "Yes" answer. -
    Jack -> Anne -> George
    Jack(Married)-> Anne (Married) -> George(Unmarried)
    Jack(Married) -> Anne(Unmarried) -> George(Unmarried)
    Post edited by Churba on
  • As Churba said, A is correct.
  • I agree with the A answer.
  • I agree with Churba, not based on any sort of analysis of the problem, but based on the fact that he is very pretty and must therefore be correct.
  • edited November 2009
    but based on the fact that he is very pretty and must therefore be correct.
    Yeah :-). I should have made more strict rules like "only post a one letter reply" or even better "whisper answer to self and reveal later".

    Also I should note that there is really no downside to getting this riddle wrong since it is an example for negatively correlating with respondents' intelligence.
    Post edited by Dr. Timo on
  • edited November 2009
    A is correct. [Spoiler: The answer is yes. We do not know whether Anne is married or not, but married is binary. If Anne is married, Anne looks at the unmarried George. If Anne is not married, the married Jack is looking at Anne. In either case, a married person is looking at an unmarried person.]

    Edit: Fixed mistake in explanation.
    Post edited by chaosof99 on
  • edited November 2009
    Anne could be, for example, a dog.
    Post edited by lackofcheese on
  • @Chaos: And if George has his eyes shut or is facing away from the other two?
  • @Chaos: And if George has his eyes shut or is facing away from the other two?
    [Spoiler: He meant Jack.]
  • I'm going with C
  • Ever since I said C, everyone has gone for it ^_~
  • edited November 2009
    C. If it's anything else, I'd like to hear why.

    EDIT: I was wrong.
    Post edited by TheWhaleShark on
  • A, we can't determine who the married one is and who the unmarried one is though.
  • edited November 2009
    Incidentally, I thought of A pretty much straight off the bat, but I thought it was too easy, and based off the following:
    And yes, I got it wrong myself ;-).
    Also I should note that there is really no downside to getting this riddle wrong since it is an example for negatively correlating with respondents' intelligence.
    I proceeded to overthink the answer and came up with a "trick".
    Post edited by lackofcheese on
  • I proceeded to overthink the answer and came up with a "trick".
    What trick did you think up? I too thought A of the bat, but then just double checked more carefully, which took another few seconds.
  • I whispered my reply, but I'm going to sleep soon so if other people want to know my reasoning later, ask Nine.
  • It seems pretty simple that it's it's A. It may correlate negatively with intelligence, but it seems like if you actually just visualize it, it's pretty simple.

    Spoiler diagram.
  • Yeah, that's how I drew it out. Though, I'd kind of like for the answer to end up being something more complex and clever than that.
  • Though, I'd kind of like for the answer to end up being something more complex and clever than that.
    I think that's why it "correlates negatively with intelligence". Intelligent people try to overthink it.
  • I got A, proceeded to over think it, then proceeded to over-over think it, and decided that A must be right. That was a while ago, but only got round to posting now, once I'd read all the replies.

    I hope nobody goes for B.
  • edited November 2009
    Though, I'd kind of like for the answer to end up being something more complex and clever than that.
    I think that's why it "correlates negatively with intelligence". Intelligent people try to overthink it.
    According to Google, [Spoiler: that is exactly the opposite of what the supposed reason is. Supposedly, intelligent people try to underthink it.]
    Post edited by lackofcheese on
  • I googled for it, and no, and that is exactly the opposite of what the supposed reason is. Supposedly, intelligent people try tounderthinkit.
    Hmmmm....interesting. This is what I found (maybe the same thing you found:
    To figure this out, most people have the intelligence if you tell them something like “think logically” or “consider all the possibilities.” But unprompted, they won’t bring their full mental faculties to bear on the problem.
    This was framed as a logic puzzle in this thread, so I guess that part doesn't apply here.
  • edited November 2009
    Un-whispered my analysis.
    Post edited by Churba on
  • Via this rather interesting article.

    More than 80 per cent of people answer this question incorrectly. If you concluded that the answer cannot be determined, you’re one of them. (So was I.) The correct answer is, yes, a married person is looking at an unmarried person.

    Most of us believe that we need to know if Anne is married to answer the question. But think about all of the possibilities. If Anne is unmarried, then a married person ( Jack) is looking at an unmarried person (Anne). If Anne is married, then a married person (Anne) is looking at an unmarried person (George). Either way, the answer is yes.

    To figure this out, most people have the intelligence if you tell them something like “think logically” or “consider all the possibilities.” But unprompted, they won’t bring their full mental faculties to bear on the problem.

    And that’s a major source of dysrationalia, Stanovich says. We are all “cognitive misers” who try to avoid thinking too much. This makes sense from an evolutionary point of view. Thinking is time-consuming, resource intensive and sometimes counterproductive. If the problem at hand is avoiding the charging sabre-toothed tiger, you don’t want to spend more than a split second deciding whether to jump into the river or climb a tree.

    So we’ve developed a whole set of heuristics and biases to limit the amount of brainpower we bear on a problem. These techniques provide rough and ready answers that are right a lot of the time – but not always.
  • Since we've gone this far, I'll summarize my "trick":
    Is a married person looking at an unmarried person?
    While marriage is binary, the choice between married person and unmarried person is not binary. There is a third option: not a person. Anne could be, for example, a dog.
    Hence the correct answer is C.
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