Kogorous Riddle Thread and eworms Deduction Thread

[Akonyl]

given the sequence 61, 52, 63, 94, 46, 18, what's the pattern that connects the numbers?

[Hoshi, tantei-chan]

Spoiler:

They are all squares of numbers with their digits reversed.

4² = 16-->61
5²= 25--52
6² = 36 --63
7² = 49 -- 94
8² = 64 -- 46
9² = 81 -- 18

[Akonyl]

yeppers, that's correct.

[eworm]

Hey, that was a good one. Your turn, Yoshi Hoshi.

[Hoshi, tantei-chan]

given the sequence 1,1,2,3,5,8,13,21,34,55,89,144, what is the next number and explain why.

[A.E.]

Spoiler: come on you could do better; this one is easy

233; it's the fibonacci series.

[Hoshi, tantei-chan]

Sorry for it being too easy, I'm a bit lazy to look for a harder one. Anyways, you got the correct answer.

[A.E.]

Aliens have abducted you and then poisened you.
They, however, offered you one chance of survival. If you succeed, you'll get the antidote, and you will, also, be set free.
They want to see how smart you are, so if you pass the test, you'll get back to your normal life, as though nothing had happened.
Their way of testing you is that they gave you two vials (one of which has the antidote, and the other has the same poisen you've been drugged with, earlier).
So one vial will cure you, and one vial will kill you even faster.

Spoiler: Here are the two vials

[img width=480]http://img560.imageshack.us/img560/6681/vials.png[/img]
Don't let my masterful editing skills distract you!

So, what will you do?

[eworm]

WTF is "fibonacci series"?

Spoiler:

If vial B is lying then it's not true that vial A has the antidote. So vial B has the antidote.
If vial A is lying then it's not true that vial A has the antidote. So vial B has the antidote.
Either way it's vial B.

[A.E.]

If vial B is lying then it's not true that vial A has the antidote. So vial B has the antidote.But vial "A" says it's "A"
If vial A is lying then it's not true that vial A has the antidote. So vial B has the antidote.But vial "B" says it's "A"
Either way it's vial B.

Your approach is taking each case seperately; something which you are not supposed to do, since both cases are interconnected, and one affects the other.

WTF is "fibonacci series"?

Fibonacci's are the numbers 1, 1, 2, 3, 5, 8,‥, where every number after the first two is the sum of the two preceding numbers (0 is sometimes included as the first term); hence the Fibonacci series, where each term is an integer equal to the sum of the two preceding terms. It's named after Leonardo Fibonacci, an "Italian" mathematician.


P.S. I never said whether your answer is right or wrong; I'm merely pointing out the flaw in your explanation..

[sstimson]

Another try to explain Vials
First question could both be telling the truth?
A : B = Lie A = Cure
B:  A = Lie A = Cure

And the answer is no since both are call the other a liar

and it is also true that both can not be liars since that would make one of their statements true

Note Since both say A=Cure then there is no way of an Absolute Truth with both because

A If True makes B: A = True B = Cure if A is Absolute Truth ( all statements are true for them )
B if True makes A: B = True B = Cure if B is Absolute Truth ( all statements are true for them )

now note case A being Absolute Truth we get this

A : B = Lie  A = Cure
B : A = True B = Cure

and as all above statement being true can not be because both A=cure and B=cure can not both be true

next B being Absolute Truth we get this
A : A = True B = Cure
B : A = Lie  A = Cure

and as all above statement being true can not be because both A=cure and B=cure can not both be true

That should show that neither one is telling Absolute Truth ( all statements are true for them )

that leaves four cases

A=true A=cure: If true then A is total truth (B is lying when it says A is lying. The other statement is true )
A=lie  A=cure:  If true then B is total truth (A is lying when it says B is lying. The other statement is true )
B=true B=cure:  If true then A is total lie (B is telling the truth when it says A is lying. The other statement is false )
B=lie B=cure:  If true then B is total lie (A is telling the truth when it says B is lying. The other statement is false )

So what would I do?

Spoiler:

If I do nothing I die. If I pick the wrong one I die. But what if the Bad Vial is just a stronger Poison of what I was given? I mix the two together and take them both believing that the cure would also cure the stronger poison as well

[A.E.]

Spoiler: sstimson's long long explanation

[quote="sstimson"]
Another try to explain Vials
First question could both be telling the truth?
A : B = Lie A = Cure
B:  A = Lie A = Cure

And the answer is no since both are call the other a liar

and it is also true that both can not be liars since that would make one of their statements true

Note Since both say A=Cure then there is no way of an Absolute Truth with both because

A If True makes B: A = True B = Cure if A is Absolute Truth ( all statements are true for them )
B if True makes A: B = True B = Cure if B is Absolute Truth ( all statements are true for them )

now note case A being Absolute Truth we get this

A : B = Lie  A = Cure
B : A = True B = Cure

and as all above statement being true can not be because both A=cure and B=cure can not both be true

next B being Absolute Truth we get this
A : A = True B = Cure
B : A = Lie  A = Cure

and as all above statement being true can not be because both A=cure and B=cure can not both be true

That should show that neither one is telling Absolute Truth ( all statements are true for them )

that leaves four cases

A=true A=cure: If true then A is total truth (B is lying when it says A is lying. The other statement is true )
A=lie  A=cure:  If true then B is total truth (A is lying when it says B is lying. The other statement is true )
B=true B=cure:  If true then A is total lie (B is telling the truth when it says A is lying. The other statement is false )
B=lie B=cure:  If true then B is total lie (A is telling the truth when it says B is lying. The other statement is false )

So what would I do?
If I do nothing I die. If I pick the wrong one I die. But what if the Bad Vial is just a stronger Poison of what I was given? I mix the two together and take them both believing that the cure would also cure the stronger poison as well

I admire the extended series of syllogisms you have got there, sstimson. I guess that was the whole purpose of me posting such a riddle; I love those silly syllogisms.
As you might have implied, there, there is only one absolute truth we can be sure of: one vial has the antidote, one doesn't. And as sstimson might have noticed, the key sentence in the riddle was, what will you do?. I asked that, rather than "which vial would you take?" to avoid any limitation the riddle has already bounded, and let the approach to the answer be open to many interpretations..
So, I, hereby, admit that sstimson's answer is the absolute solution one would choose to survive.
sstimon, I guess it's your turn.
And sorry for the belated response; I shouldn't have posted a riddle right before I went to sleep.

[sstimson]

I know time to think of a riddle and I get back to you on that. I also noticed this Line from your riddle ( After my post ):

Their way of testing you is that they gave you two vials (one of which has the antidote, and the other has the same poison you've been drugged with, earlier).

When I saw that statement. My guess and hope that one would be a cure all became fact.

[A.E.]

I know time to think of a riddle and I get back to you on that. I also noticed this Line from your riddle ( After my post ):

Their way of testing you is that they gave you two vials (one of which has the antidote, and the other has the same poison you've been drugged with, earlier).

When I saw that statement. My guess and hope that one would be a cure all became fact.

I put that statement for emphatic purposes only (I know I could have said "only one has the antidote" and that's it). I suppose that line gave me away

[sstimson]

I feel like being lazy so my riddle will be this:

Abegho riddle on the vials had four clauses. Changing only one clause and leaving the rest alone, make this riddle solvable by logic and show your work. And let's make a small change to the end. One vial will only cure your poison and nothing else. The other is instant death!

Abegho Riddle:

Aliens have abducted you and then poisened you.
They, however, offered you one chance of survival. If you succeed, you'll get the antidote, and you will, also, be set free.
They want to see how smart you are, so if you pass the test, you'll get back to your normal life, as though nothing had happened.
Their way of testing you is that they gave you two vials (one of which has the antidote, and the other has the same poisen you've been drugged with, earlier).
So one vial will cure you, and one vial will kill you even faster.

Spoiler: Here are the two vials

[img width=480]http://img560.imageshack.us/img560/6681/vials.png[/img]
Don't let my masterful editing skills distract you!

So, what will you do?

In this case my solution to the original riddle will also kill you