Originally posted by Matt1511
Hey guys =D
This little puzzle was made by a 7 year old boy and is known as one of the hardest math problems ever.
Can you figure it out? We'll see.
I'll release the answer when this gets unactive or when someone guesses it right. NO hints will be given.
Goodluck:y:
I got it !
"If I were to ask the Chief to your left if you could tell the truth would he say '

A'?"
EXPLINATION

the rest of the e-mail)
I'll notate them as:
Truthie: T
Falsie: F
Mixed: M
So there are 6 possibilities:
seat:| 1 | 2 | 3 |
------------------
a: | T | F | M |
b: | T | M | F |
c: | F | T | M |
d: | F | M | T |
e: | M | T | F |
f: | M | F | T |
I'll translate "Chief to your left" to a number for ease.
Question 1: to Chief #1: "If I asked #2 if you could tell the truth would he say '

A'?"
Now here is the third crux: the Truthful Chief ALWAYS tells the truth and the False Chief ALWAYS lies so if either of them don't know then they can not answer.
So if #2 is the mixed chief then you will get silence to Question #1. Giving you three possible answers to the yes/no Question which is how you can get 6 possibilities out of only 2 Chief's answers.
Q1 answer #a: Silence:
seat:| 1 | 2 | 3 |
------------------
b: | T | M | F |
d: | F | M | T |
Question 2#a :
If silence to Q1 then you ask the same question to seat#3, 'to your left now means seat #1 so: "Seat #3: If I were to ask #1 if you could tell the truth would he say '

A'?"
If DA = yes
seat:| 1 | 2 | 3 |
------------------
b: | T | M | F | = DA
d: | F | M | T | = JA
If DA = no, same result
seat:| 1 | 2 | 3 |
------------------
b: | T | M | F | = DA
d: | F | M | T | = JA
I'll explain:
---If DA = yes-----------------
seat:| 1 | 2 | 3 |
------------------
b: | T | M | F | = DA: 3 can't tell the truth, 1 would be honest and say no translating to 'JA', 3 then lies about weather 1 would say '

A' and says yes translating to DA.
seat:| 1 | 2 | 3 |
------------------
d: | F | M | T | = JA: 3 can tell the truth, 1 would lie about that and say no which translates to 'JA', 3 is then honest about weather 1 would say '

A' and says no translating to JA.
---If DA = no-----------------
seat:| 1 | 2 | 3 |
------------------
b: | T | M | F | = DA: 3 can't tell the truth, 1 would be honest and say no translating to '

A', 3 then lies about weather 1 would say '

A' and says no translating to DA.
seat:| 1 | 2 | 3 |
------------------
d: | F | M | T | = JA: 3 can tell the truth, 1 would lie about that and say no which translates to '

A', 3 is then honest about weather 1 would say '

A' and says yes translating to JA.
Great so what if Q1 doesn't come back in silence:
Then you know #2 is NOT mixed
Let's remember if the answer comes back DA it's a lie, JA it's honest
if Q1 answer = DA (lie) then we know #2 is NOT Mixed and #1 is not Truthie so there are 3 possible scenarios:
seat:| 1 | 2 | 3 |
------------------
c: | F | T | M |
e: | M | T | F |
f: | M | F | T |
Then you ask #2 "If I were to ask #3 if you could tell the truth would he say '

A'?"
If silence then #3 is Mixed and:
seat:| 1 | 2 | 3 |
------------------
c: | F | T | M |
If DA then #2 is Falsie and #3 is NOT Mixed:
seat:| 1 | 2 | 3 |
------------------
f: | M | F | T |
If JA then #2 is Truthie and #3 is NOT Mixed:
seat:| 1 | 2 | 3 |
------------------
e: | M | T | F |
if Q1 answer = JA (truth) then we know #2 is NOT Mixed and #1 is not Falsie so there are 3 possible scenarios:
seat:| 1 | 2 | 3 |
------------------
a: | T | F | M |
e: | M | T | F |
f: | M | F | T |
Then you ask #2 "If I were to ask #3 if you could tell the truth would he say '

A'?"
If silence then #3 is Mixed and:
seat:| 1 | 2 | 3 |
------------------
a: | T | F | M |
If DA then #2 is Falsie and #3 is NOT Mixed:
seat:| 1 | 2 | 3 |
------------------
f: | M | F | T |
If JA then #2 is Truthie and #3 is NOT Mixed:
seat:| 1 | 2 | 3 |
------------------
e: | M | T | F |
GOTTA LOVE GOOGLE!