A Puzzle and a Skill Challenge

malcolm_n

Adventurer
I designed a skill challenge which leads into a puzzle. The idea is that the party is in a tower and (for reasons related to the story) has only one chance to pick the right door out of 30.

This can be reflavored into finding the right door out of Sigil, choosing from a large quantity of potentially trapped boxes, or any other way to give the party this puzzle.

Skill Challenge: Breaching the Sanctum
Read the Following
[FONT=&quot] There are 30 doors you can choose from. There is a shelf on the wall which could be helpful in deciding which door you can use to enter the sanctum. If you do not choose the right door the first time, you risk being caught by powerful enemies, or finding yourself in the wrong place with little to no time remaining in your quest..
You have 9 minutes to research the books on the wall next to you, and each check represents 1 minute of time used whether you succeed or fail.

[/FONT]As the party makes checks below, provide them the clues in order for their successes. Exceptions to this are spelled out in the check. They can only attempt each secondary check once before they lose more time.
Primary Skills: Arcana, History, Religion.
Secondary Skills: Stealth, Athletics, or Thievery
Arcana: Grabbing a book on the arcane nature of this place, you learn a vital clue.
Athletics or Thievery: You discover a hidden drawer on the shelf through either force or subtlety and find clue #7 written on a paper inside.
History: You've heard of this place, and you just read something that reminds you of a clue.
Religion: Your god gives you some insight into which book you can read to find a clue.
Stealth: You sneak up and try to listen at the first door, which gives you clue #5.

The clues
1.The door is not square (in case the party asks, all of the doors look identical, except for the numbers painted on them).
2.The door is not prime.
3.You could pass this door twice as often as others.
4.You couldn’t pass the door 5 times, but you could pass it 6.
5.Don’t use the first door
6.You can pass the door many more times than other doors.
7.Think of the clues in math terms.
8.Replace door with number.
9.How often you can pass the door is division.

If the party guesses correctly that they need to use the twenty-fourth door, they are able to reach to the proper door and pass through it to the sanctum beyond before trouble arrives.[FONT=&quot]
If the party does not guess correctly, they are either caught by pursuers or open the wrong door and are unable to go back.[/FONT]
 
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I like it.

I don't think I understand clue 3 though.

"3.You could pass this door twice as often as others."

I work it out that with all the clues I am left with:
6, 12, 18, 24

6 (1x6, 6x1, 2x3, 3x2) total 4 ways
12 (1x12, 12x1, 2x6, 6x2, 3x4, 4x3) total 6 ways
18 (1x18, 18x1, 2x9, 9x2, 3x6, 6x3) total 6 ways
24 (1x24, 24x1, 2x12, 12x2, 3x8, 8x3, 4x6, 6x4) total 8 ways

Yes the result of 24 (8 ways) is twice the amount of 6 (4 ways) but not twice the amount of 12 and 18 (both 6 ways)

Really clue 4 is the key clue to solving the puzzle, but clue 3 is confusing me.

Of course I could be doing something wrong. B-)
 

hehe, it means there are more ways to divide it than any other number. yes, the twice throws it off. I changed it to more than any other.

*Edit* Wait, that makes it identical to #6. I looked over it again. #3 only means that it's an even door. #6 is the one that solves the issue of 6, 12, 18, 24.

Would you say clue 4 is a giveaway before you get to the point that you know it's a math problem?
 
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Personally I think you should realise that it is a maths problem at clue #1, but if you don't at #1 then you should at #2.

I'm just left wondering how much patience a typical player is going to have for a problem of this sort? Maybe you should have a real time time limit on solving the puzzle to ramp up the tension and keep people engaged.

I don't know, maybe 15 mins tops?
 

That isn't a common issue in our games, but if you need to enforce one, keep them to an actual 9 minutes. Each check is only a few seconds' time and they should have about 5-6 minutes of time out of game to finally pay attention and do it after they've gotten all the results they can.
 

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