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Results tagged with logical-deduction
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user 1497
A puzzle that requires formal logical deduction to arrive at the solution. This suggests more than merely reasoning through clues to find an answer (you might want [situation] for that).
57
votes
Two doors with two guards - one lies, one tells the truth
Choose a guard and ask him,
If you choose the truthful guard, he will give you an honest answer. Enter his door if he says "yes" and enter the other door otherwise.
If you choose the liar, he wil …
- 6,304
12
votes
Accepted
Self referential puzzles - follow-up
(assuming numbers with leading zeros, ex "05" are forbidden)
Part 1. Establishing an upper boundary for digit size
Suppose there exists a solution where the largest blank is filled in with three d …
- 6,489
5
votes
Similar to knight/knave puzzle: Insane asylum
Not necessarily. That is a reply that could be made by an insane patient.
Anything an insane inhabitant says is false. When an insane inhabitant says "I believe [X]", then the truth is that he does n …
- 6,489
13
votes
Not enough pylons!
Bob "peels" each pylon, effectively seperating the inside from the outside. If he has a long enough knife, he can do this without leaving any visible cuts.
Here is a depiction of the cross section of …
- 6,489
13
votes
Measuring the amount of liquid in a container without a measuring tool
Assumptions:
it is possible to "duplicate" a container by pouring liquid into an empty container until it has exactly as much liquid as the original.
it is possible to "average" two containers by po …
- 6,489
8
votes
Accepted
Hardest sum sudoku ever! (as well as how to solve them)
I got:
Here's how I found the first 15 or so values. (terminology note: when I say a group is (x,y,z), that means the group must contain those numbers, but we don't know in what order yet)
- 6,489
2
votes
need help with a math equation puzzle
I wrote a script to go through all possible equations using +, -, /, *. Here is the output:
7
7 * (3 - (40 / 20))
(3 - (40 / 20)) * 7
7 / (3 - (40 / 20))
40
40 * ((3 * 7) - 20)
40 * ((7 * 3) - 2 …
- 6,489
7
votes
Accepted
Housing crisis in heaven
This is a restatement of Hilbert's paradox of the Grand Hotel, in particular the Infinitely many coaches with infinitely many guests each problem.
The solution is to take each person's ticket, and as …
- 6,489