Logic Puzzles

Norroen Dyrd · **Posted:** Tue Aug 27, 2013 6:39 am

Incorrect.

Moeboid · **Posted:** Tue Aug 27, 2013 6:41 am

What's incorrect about it? Are the trains not allowed to reverse?

Norroen Dyrd · **Posted:** Tue Aug 27, 2013 6:50 am

They are. But the cars they leave in the feeder cannot move on their own accord without the engine.

Spoiler:

Moeboid · **Posted:** Tue Aug 27, 2013 7:05 am

Ahh, I understand. I think the passenger trains that I'm used to are a little different to the ones in your puzzle. It would work here in Australia :p. So can I assume that each train has one engine and that it is at the front of each train?

Edit: Does the engine have to be in the same place once the passenger train has passed?

Norroen Dyrd · **Posted:** Tue Aug 27, 2013 7:13 am

There are various kinds of trains to be found all over the world.
But these trains have the engine at the front and the cars behind the engine.
If the passenger train had two engines (front and back), I would have mentioned it in the puzzle. :wink:

And even if the passenger train had two engines, it wouldn't eliminate the contradiction of the freight train reversing with the passenger train in its way. :wink:

Moeboid · **Posted:** Tue Aug 27, 2013 9:08 am

I meant that the passenger train should disconnect half of its carriages, but reading over my answer, I guess that wasn't clear. Can you just clarify what a feeder is?

Norroen Dyrd · **Posted:** Tue Aug 27, 2013 9:18 am

I found your answer very clear. If I didn't, I'd ask to clarify. :wink:

A feeder is a branch line.
A feeder example:

Hidden:

Moeboid · **Posted:** Tue Aug 27, 2013 9:39 am

Ah, thanks for that. I needed to know if it could be entered from both directions, but I see that it can't.

Also, you didn't need to clarify because it was wrong anyway (I assumed there were engines at both ends). I was just saying that I meant that the carriages should disconnect to avoid a collision - that's the part that wasn't clear. Anyway, new answer:

Spoiler:

Norroen Dyrd · **Posted:** Tue Aug 27, 2013 10:30 am

This is, indeed, a possible solution, even if it has more steps than the one intended. :wink:

It could also have been worked out this way:

Hidden:

Your turn, Moeboid!

Moeboid · **Posted:** Tue Aug 27, 2013 10:58 am

My solution works if the feeder can only be entered from one direction (can't reverse in). Your pic lead me to believe that the feeder in the puzzle was the same.

OK here's mine. I suspect it will be quite difficult. What number comes next in the sequence?

2, 4, 5, 8, 11, 15, 17, 22, 23, 28, 29, 36, 37, 46, 47, 56, ?

Taters · **Posted:** Tue Aug 27, 2013 11:30 am

Moeboid · **Posted:** Tue Aug 27, 2013 11:32 am

Incorrect. I knew someone would guess that :p

Norroen Dyrd · **Posted:** Wed Aug 28, 2013 11:26 am

It is plainly evident that the sequence begins with a prime number and then goes on alternating between prime and composite numbers. Is it a chance occurrence?

Taters · **Posted:** Wed Aug 28, 2013 11:27 am

Norroen Dyrd · **Posted:** Wed Aug 28, 2013 11:31 am

However, some prime numbers have been excluded from the sequence.

Moeboid · **Posted:** Wed Aug 28, 2013 11:49 am

No, it's not a chance occurrence - well spotted. And 59 is actually the correct answer. I stupidly ended it on a prime number, making it easy to get the answer without actually identifying the pattern. However, since the pattern itself remains unexplained, and because I suspect Taters only solved it thanks to Norroen's observation, I'm not going to consider the puzzle solved until the pattern itself has been identified.

Norroen Dyrd · **Posted:** Wed Aug 28, 2013 12:04 pm

I scratched off 59 as a correct answer, because, as I said earlier, I was baffled by some prime numbers missing from the sequence. Apparently, we are to establish the reason why they are not there. :wink:

Taters · **Posted:** Wed Aug 28, 2013 12:17 pm

By my reckoning, the pattern would have to be consistent with a pre-defined number sequence, like the puzzle that used pi, as any procedurally generated sequence(i.e.: +2, -1, etc.) doesn't seem to fit.

Musicman247 · **Posted:** Wed Aug 28, 2013 1:07 pm

I almost thought it was: add 2, add enough to make the next prime, add 3, add enough to make the next prime, add 4, add enough to make the next prime, add 5 , add enough to make the next prime, but then it breaks down and the sequence stops.

2, (2) 4, (p) 5, (3) 8, (p) 11, (4) 15, (p) 17, (5) 22, (p) 23, (5) 28, (p) 29, (7) 36, (p) 37, (9) 46, (p) 47, (9) 56, ?

Moeboid · **Posted:** Wed Aug 28, 2013 1:11 pm

I continued it for so long specifically so that that sequence would break down :p.

The SheoDovah · **Posted:** Wed Aug 28, 2013 11:18 pm

300213,4853,2121.9

Moeboid · **Posted:** Fri Aug 30, 2013 12:05 pm

Ok, time to announce the real answer:

Spoiler:

Musicman247 · **Posted:** Fri Aug 30, 2013 12:48 pm

Nice one, Moe.

Norroen Dyrd · **Posted:** Fri Aug 30, 2013 2:49 pm

Moeboid wrote:

Ok, time to announce the real answer:

Spoiler:

That was a very interesting puzzle, Moeboid!

Hidden:

I suppose now it's Jedi Taters' turn, since he guessed the number correctly?

Moeboid · **Posted:** Fri Aug 30, 2013 3:31 pm

I could give it to anyone, really. Norroen noticed the pattern of primes, Taters identified the next number, and MM was closest to identifying the pattern. Any of you can take it; I don't mind.

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