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Mathematics 69 Online
Parth (parthkohli):

Toggler riddle. You have 5 people in front of you. 4 of them are togglers. A toggler is a person who alternatively speaks the truth and the untruth. For example if I am a toggler and you ask me my name, I may speak the truth for the first time, but then I'll lie, then I'll speak the truth, then I'll lie. For example I will say: I am Parth. If you ask again I am lgba. Ask again: I am Parth Now there is one truthteller who always tells the truth. You have to ask two questions to any two people(you may ask the same person) and you have to know the truthteller. How will you know?

Parth (parthkohli):

Notice that the toggler may also lie on their first chance.

OpenStudy (lgbasallote):

can they tell the truth first time and second time?

Parth (parthkohli):

Only the truthteller can speak the truth all the time. The togglers would speak truths and lies alternatively.

OpenStudy (blockcolder):

I suspect you have to ask something about what they'll say when the question is asked again.

Parth (parthkohli):

Hmm no

Parth (parthkohli):

Will you be able to know who the truthteller is?

OpenStudy (blockcolder):

Not something like, "If I ask this question to this guy, will he tell the truth?" ??

Parth (parthkohli):

No actually. That's some other riddle. This is the harder version.

OpenStudy (lgbasallote):

then ask the name twice

Parth (parthkohli):

No, you wouldn't be able to know then.

OpenStudy (lgbasallote):

the one who doesnt change answers is the truthteller

Parth (parthkohli):

Only two questions.

OpenStudy (blockcolder):

Am I correct in saying that you have to ask the same questions to only one person?

Parth (parthkohli):

Yes! But what will you ask?

Parth (parthkohli):

And another thing....we don't have the same question for everybody. You'll have to think for each of those.

OpenStudy (wolfboy):

Ask he same person twice

Parth (parthkohli):

Yeah but what do you ask?

OpenStudy (wolfboy):

If its a toggler then he will change answers and yo uwill know he is the togler

Parth (parthkohli):

You have to see who is the truthteller btw

OpenStudy (wolfboy):

If its the truth teller he will say the same thing twice

OpenStudy (wolfboy):

Or

OpenStudy (wolfboy):

Ask them each who is the truth teller and if they say the something then that person is the truthteller

Parth (parthkohli):

Ok think that there are 5 guys and then choose a guy you wanna talk to.

OpenStudy (wolfboy):

If they say something different you are in some trouble

OpenStudy (lgbasallote):

ask them "who farted"

OpenStudy (wolfboy):

XD

Parth (parthkohli):

Choose the guy you wanna talk to

OpenStudy (blockcolder):

The problem is that there are so many possibilities; the idea is to reduce those possibilities into a few using a specific question. I have a few ideas in mind, such as "Is one of you a truth-teller?", but I can't find a question where I have information, whether or not they lied.

Parth (parthkohli):

Ok you want the solution?

OpenStudy (wolfboy):

NO!

OpenStudy (lgbasallote):

the second guy from the front is the truthteller

Parth (parthkohli):

Lol

OpenStudy (wolfboy):

OH i got it!

OpenStudy (wolfboy):

wait

OpenStudy (wolfboy):

I think i got it

Parth (parthkohli):

Google is great. Wow

OpenStudy (wolfboy):

First ask one Are you the truth teller?

OpenStudy (wolfboy):

If the person responds "Yes". They are either the truth teller or they are a toggler that has just lied to you that will now tell you the truth. Either way the next answer will be truthful. Therefore ask who is the truth teller.

OpenStudy (wolfboy):

f the answer to question 1 is "no". They have to be a toggler that has just told you the truth. Therefore the next question will be a lie. Therefore the question " who is a toggler" will reveal the truth teller.

Parth (parthkohli):

google is great...you can't type so fast

OpenStudy (wolfboy):

Yea i can

Parth (parthkohli):

No one gets the medal

OpenStudy (wolfboy):

Sometimes

OpenStudy (wolfboy):

ok!

Parth (parthkohli):

Do you want the solution guys?

Parth (parthkohli):

Ask - Are you the truthteller? YES - either a lying toggler or a truthteller will say this. You ask next - who is the truthteller? The truthteller will say 'me' The lying toggler will speak the truth

Parth (parthkohli):

Actually you'll ask are you a toggler? if he says yes then he is a truthtelling toggler and the next time you'll ask who is not the truthteller

Parth (parthkohli):

If he says no then it's a lying toggler or a truthteller

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