Please do **NOT** post your answer, but do say if you think you have solved the puzzle and how long it took. Solution on Monday.

There are four suspects, and one of them has committed a murder. They make the following statements, but only one of them is telling the truth. Who committed the murder?

Jon: James did it.

James: Bob did it.

Sid: I didn’t do it.

Bob: James is lying.

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About a minute

About 2 min

We had a puzzle like this a few months ago and I still can’t do it! Memory like a sieve.

About 2 minutes. Seemed fairly easy so I must have got it wrong. 🙂

About 10 seconds.

How do you KNOW you’re right?

Science.

Can’t do this sort of puzzle but have an answer based on probability.

PS Hi Charlie!

Yes, I’m sure we’ve had something like this recently.

But for me it was 45 seconds to get an answer, then another 4 minutes exploring other ways of solving it only to realise my answer was wrong and then another minute to get what I think now is the right one

I love these logic puzzles. Took me about 3 mins but I’ve only had 4 hours sleep. It’s possible to get it from what only 2 of them are saying, if you pick the right 2. Can’t say more without revealing the answer

I thought that initially, but I’m not so sure now. Will re-ponder over lunch and then wait until Monday

You might as well say more, because you’re wrong.

I’m with Kevin here, Skatz.

If you just look at two people’s statements the options are:-

Both are lying

Both are telling the truth

One is lying and one is telling the truth.

From the above how do you manage to ascertain whether the other two people are telling the truth?

Please let us now how you have done this on Monday – we don’t want any spoilers do we?

Repondered – happy with my second answer and agree with kevin

You also need the premise that only one of them is telling the truth as well as an assumption of what it means to tell the truth. as far sd I can tell Sid is the only ony one where honesty and accuracy are synonyms since presumably he knows what he did all the rest can be truthful and just plain wrong anonymous you know you’re right when the ghost of the victimstarts haubting one of them, just sit back and wait for the broken glasses Edwards who really did it – yes I have been watching too much supernatural

If you know that among two people, exactly one is telling the truth (one statement is enough to know that), then the other two lie. From then on there is a statement that allows to know who did it.

So Skatz is right, you need only two of the statements.

Thanks Anders and Yat.

So your logic, Anders, is that because Sid “knows what he did” he is telling the truth. Is this a general solution for all puzzles of this nature?

Yat, you state that “If you know that among two people, exactly one is telling the truth (one statement is enough to know that), then the other two lie”. Doesn’t that make three people?

Sorry for being so obtuse about this guys, but I am a slow learner.

About 2 minutes

Yes, I’m pretty sure we had this one just a few weeks ago. Figured it out quickly then and same again.

one minute to get a solution; another to confirm that it is unique.

about 4 min. It was fun.

got

Of course this is all rather perverse in that the answer is based on most of the suspects lying. As the police can’t possibly know just one suspect is telling the truth, then things don’t look to good for one suspect as he’s been fingered as the murderer by one suspect, as a liar by a second and this is consistent with the reply of the third and he has every motive to lie about his role.

Given this, he would be the most likely person to be convicted. As it is, the answer will be the person least likely to have committed the act on the basis of the evidence. In the case of the “right answer”, there’s no obvious personal protection motive for two of the lies (of course, you can’t rule out friend/enemy relationships between the suspects).

Slow day, Steve? 🙂

that’s the thing that bugs me about logic problems like this – the premise is so illogical.

I did it, with a pencil in the kitchen.

2 mins. and I liked it.

Yes you did! 🙂

1min….

Took a couple of minutes – started off by working out who each suspect claimed did / did not do it, then a couple of steps later (work ’em out for yourselves!) was presented with only one scenario which could meet the puzzle requirements.

a few minutes

2 minutes!!!!

didn’t you put this one out ages ago?

Well, obviously I worked out who did it immediately, but first I needed to resolve some unfinished business with my ex, get back at the by-the-book superintendent and explore the sexual tension with my new DI. All of which will be forgotten by the time next week’s puzzle starts.

2 minutes…

Working this out looks like a lot of trouble. Perhaps it’ll be easiest if we just beat a confession out of one of these guys. The main thing here is to keep the statistics looking good.

Between 3-4 minutes. First time through, I came up with impossibilities for all of them. Tough, but fun!

About 2 minutes. I checked how many true statements there would have been if each of the four suspects did it, and only one possibility yielded 1 true statement and 3 lies.

As usual, I thought about the puzzle and wrote my comment *BEFORE* reading the comments in the thread; I am now going to go and read the thread to see how many moans and whinges there are about spoilers, due to the fact that some people seem to insist on reading the thread first despite knowing that it is likely to contain spoilers.

In that you have stated a methodology which yields the answer, doesn’t your post constitute a spoiler LoonMeister?

less then a minute

Richard did it.

Sid did it…!!!

1 min

Solved in 3 minutes. One for finding the solution, and two more minutes for being sure…

About 5-10 minutes – I had to get a pen and paper and make some notes to be sure.

One minute erm…..I got it……I think……