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hardest riddle i ever heard

 
 
Reply Sun 16 Jan, 2005 09:24 pm
guys lets see how smart you are.
this question has been considred as hardest question in this world

there are 3 guys in a room. one of them is lier.. second one always says truth.. third one is random

by askin 3 yes or no questions..you have to find which one is which


waitin for ur response guys
rahul
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Type: Discussion • Score: 1 • Views: 1,386 • Replies: 9
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Individual
 
  1  
Reply Sun 16 Jan, 2005 10:27 pm
Do all of them answer, or does only one?
0 Replies
 
r a h u l
 
  1  
Reply Sun 16 Jan, 2005 10:37 pm
you can ask any one
Quote:
Individual
Posted: Sun Jan 16, 2005 9:27 pm Post subject:

--------------------------------------------------------------------------------

Do all of them answer, or does only one?



You can ask any one ( and its not compulsary to ask only one specifically)
but total number(at the end) of YES OR NO QUESTIONS can not be more then 3
k waitin for your reply
RAHUL
0 Replies
 
markr
 
  1  
Reply Sun 16 Jan, 2005 10:44 pm
This is similar to a previous post:
http://www.able2know.com/forums/viewtopic.php?t=31704

First find one person who is not the random guy.
Call them A, B, and C. Ask A, "Is B more truthful than C?" If the answer is yes, then C is not the random guy. If the answer is no, then B is not the random guy. This can be verified by examining all possible permutations. Note that you don't know the identity of anyone at this point. You've only identified one who is not the random guy.

Let's say we determine that B is not the random guy. Ask B, "Would the other non-random guy say you always tell the truth?" If B says yes, then B is the liar. Otherwise, B tells the truth. Now you know the identy of B.

Ask B if A is the random guy. There are four possibilities:

B is the liar and says yes
A: truth teller, B: liar, C: random

B is the liar and says no
A: random, B: liar, C: truth teller

B tells the truth and says yes
A: random, B: truth teller, C: liar

B tells the truth and says no
A: liar, B: truth teller, C: random

This assumes each knows the identity of the others.
0 Replies
 
r a h u l
 
  1  
Reply Mon 17 Jan, 2005 02:46 pm
donn get it
Quote:
markr
Posted: Sun Jan 16, 2005 9:44 pm Post subject:

--------------------------------------------------------------------------------

This is similar to a previous post:
http://www.able2know.com/forums/viewtopic.php?t=31704

First find one person who is not the random guy.
Call them A, B, and C. Ask A, "Is B more truthful than C?" If the answer is yes, then C is not the random guy. If the answer is no, then B is not the random guy. This can be verified by examining all possible permutations. Note that you don't know the identity of anyone at this point. You've only identified one who is not the random guy.

Let's say we determine that B is not the random guy. Ask B, "Would the other non-random guy say you always tell the truth?" If B says yes, then B is the liar. Otherwise, B tells the truth. Now you know the identy of B.

Ask B if A is the random guy. There are four possibilities:

B is the liar and says yes
A: truth teller, B: liar, C: random

B is the liar and says no
A: random, B: liar, C: truth teller

B tells the truth and says yes
A: random, B: truth teller, C: liar

B tells the truth and says no
A: liar, B: truth teller, C: random

This assumes each knows the identity of the others


hi markr
i understand the last part u said......i donn get how to find the random guy.

can u explain dat again

thanx in advance
Rahul
0 Replies
 
thisisa44caliberlovelette
 
  1  
Reply Tue 18 Jan, 2005 07:25 am
i think youl have to say to all of them 'is the guy to you left a liar?' if the guy on the far right hand side (with no one on his left) says yes, then hes not truthful
its so difficult to write down how the others two eactions would affect it but, basically second question, 'is the guy to your right a liar?' and this sorts them out even more, and finally, ask one of then, whci you now would know is telling the truth/lying, which one is the random guy, and from this we know which one is and which one isnt, and youve got all three. im pretty sure this technique worjs cos ive worked it through in my head. is this what you had?
0 Replies
 
markr
 
  1  
Reply Tue 18 Jan, 2005 09:53 am
sounds like seven questions to me
0 Replies
 
markr
 
  1  
Reply Tue 18 Jan, 2005 02:26 pm
Here are all of the possibilities for determining a non-random guy:

A B C - Response from A to "Is B more truthful than C?"
-------------------------------------------------------
L R T - Y
L T R - N
R L T - Y/N
R T L - Y/N
T L R - N
T R L - Y

When the response is Y, C can't be the random guy.
When the response is N, B can't be the random guy.
0 Replies
 
r a h u l
 
  1  
Reply Wed 19 Jan, 2005 10:54 pm
make sense
Quote:
thisisa44caliberlovelette
Posted: Tue Jan 18, 2005 6:25 am Post subject:

--------------------------------------------------------------------------------

i think youl have to say to all of them 'is the guy to you left a liar?' if the guy on the far right hand side (with no one on his left) says yes, then hes not truthful
its so difficult to write down how the others two eactions would affect it but, basically second question, 'is the guy to your right a liar?' and this sorts them out even more, and finally, ask one of then, whci you now would know is telling the truth/lying, which one is the random guy, and from this we know which one is and which one isnt, and youve got all three. im pretty sure this technique worjs cos ive worked it through in my head. is this what you had?




make sense but one mistake....random guy can say say yes or no..so may be in both cases he is saying truth...
u r near to answer......u can do it
RAHUL
0 Replies
 
markr
 
  1  
Reply Wed 19 Jan, 2005 11:57 pm
Well, if you're going to count a question asked of all three as a single question, then it's trivial and unworthy of the "Hardest Riddle" title.

Ask all three if a circle is round.

The responses will be
Y Y N (N is the liar)
or
Y N N (Y is the truth-teller)

If YYN, then ask the N if the first Y is the truth-teller.
If YNN, then ask the Y if the first N is the liar.

However, I'd consider that five questions.
0 Replies
 
 

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