BrainDen.com - Brain Teasers

## Question

All in a triangle formation. The role of random,false or truth are

assigned to 3 players. These players must guess his and the
roles of others to win. No one know at the start his role or the
roles of player on his left and his right.

Holding a grounded device they should press a button for a guess:
(buttons can be repeatedly press but 3 right ones will do)

Players False Truth Random
Left O O O
Center O O O
Right O O O

1) The random player will get a jolt of volts (electric shock)
if his last 2 succeeding guesses are both true or both false.
2)The false player will get a jolt of volts if his guess is true.
3)The truth player will get a jolt of volts if his guess is false.

What buttons they should press to win with least try and pain ?

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• 0

Abbreviations: Truth Teller=T, Liar=L, Random=R

First press LT button.

If you get shocked then it means that either 1) you=T OR 2) you=L, left=T, right=R, so press the LR button next. If jolted again, then you=T, left=L right=R. Done (2 presses, 2 jolts).

If the second press was safe then press RT. If jolted, then you=T, left=R, right=L. If not, then you=L, left=T, right=R. Done (3 presses, 1 or 2 jolts)

If the first press was safe that means either 1) you=R OR 2) you=L, left=R, right=T, so press the CT button next. If jolted, then you=R, left=L, right=T. Done (2 presses, 1 jolt)

If the second press was safe too, then press LF or RR button. If shocked then you=R, left=T, right=L, otherwise you=L, left=R, right=T. Done (3 presses, 0 or 1 jolts)

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Buttons = F T R and results = J(olt) or N(ojolt)

Press: F T R

Responses
Truth-teller: J N J
Liar: J N N
Random: J J N

These are unique patterns.

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• 0

Buttons = F T R and results = J(olt) or N(ojolt)

Press: F T R

Responses

Truth-teller: J N J

Liar: J N N

Random: J J N

These are unique patterns.

nice example..

Responses F T R

Truth-teller: J N J

Liar: J N N

Random: J J N

..here the player is a Liar..sitting on his left is the TruthTeller and

on his right the Random.

He pressed the 3 buttons CF ,CT, CR resulting in 'jolt ,none,none'

because he is a FalseTeller...IF he pressed LF.....because he is a

FalseTeller.. the result should be 'none' because the TruthTeller on

his left is not a FalseTeller :

Responses F T R

Left:(Truth-teller) N J N

Center:(Liar) J N N

Right:(Random) N N J

...with luck he can only press LT CF RR (3 jolts only)

Hint : Which button should be pressed first ?

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• 0

Abbreviations: Truth Teller=T, Liar=L, Random=R

First press LT button.

If you get shocked then it means that either 1) you=T OR 2) you=L, left=T, right=R, so press the LR button next. If jolted again, then you=T or L, left=L? right=R?. Done (2 presses, 2 jolts).

if you=Center playing TruthTeller

LT?-x=CT LR?-x= LF 2jolts

if you=Center playing FalseTeller

LT?+x=CF LR?+x=LR 2jolts

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• 0

Press buttons: T R F

If
Truth-teller: N J X
Liar: N N J
Random: N N N
If truth teller he need not press the button further. If liar, pressing third button F will give Jolt, but in case he is Random, he will get No jolt.

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• 0

there are 9 ( LT LF LR CT CF CR RT RF RR) buttons to push..only 3 are correct for each device

..if you are at the Center that can be T, R, F what is the first try you recommend?

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Abbreviations: Truth Teller=T, Liar=L, Random=R

First press LT button.

If you get shocked then it means that either 1) you=T OR 2) you=L, left=T, right=R, so press the LR button next. If jolted again, then you=T or L, left=L? right=R?. Done (2 presses, 2 jolts).

if you=Center playing TruthTeller

LT?-x=CT LR?-x= LF 2jolts

if you=Center playing FalseTeller

LT?+x=CF LR?+x=LR 2jolts

Sorry, TSLF. I don't think I understand your comment. Are you saying that it's possible that a liar gets jolted twice by pressing LT followed by LR? It's either a T or R to his left, so both of these cannot be true.

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• 0

Hi K-man..thanks

First press LT button.

If you get shocked then it means that either 1) you=T OR 2) you=L, left=T, right=R,
so press the LR button next. If jolted again, then you=T, left=L right=R. Done (2 presses, 2 jolts).

If the second press was safe then press RT. If jolted, then you=T, left=R, right=L.
If not, then you=L, left=T, right=R. Done (3 presses, 1 or 2 jolts)

If the first press was safe that means either 1) you=R OR 2) you=L, left=R, right=T,
so press the CT button next.
If jolted, then you=R, left=L, right=T. Done (2 presses, 1 jolt)

If the second press was safe too, then press LF or RR button. If shocked then you=R, left=T, right=L,
otherwise you=L, left=R, right=T. Done (3 presses, 0 or 1 jolts)
--------------------------------------------------------------------------------------------------------------------------------
My sincere apologies for messing your solution.You are right!.. LT can not be LR, i got confused

If you may allow me to reconstruct your solution: L(iar)=F(alse)*
CT : LT-X:L? LR-X : LF .. CT+O:CT LF+O:LF RR+O:RR 5 presses 2jolts
LR+O:LR .. RT-X:RF CT+O:CT RF+O:RF 5 presses 2 jolts

CF: LT+X:LT LR-O:LT ..RT-O:RR CF+X:CF RR+X:RR 5 presses 3 jolts
LT-O:LR CT-O:CF ..LF-O:LR CF+X:CF LR+X:LF RT+X:RT 6 presses 3 jolts

CR: LT-O: LF CT-X:CR ..CR+O:CR LF+X:LF RT+X:RT 5 presses 3 jolts
LT+O:LT CT-O:CR ..LF-X :LT CR+O:CR RF+X:RF 5 presses 3 jolts

other lines of pressings: 1=left 2=center 3=right

2r?-x=2t 2t?+o=2t 1f?+o =1f 3r?+o=3r!
1f?-x=1r 1r?+o=1r 3f?+o=3f!

2r?-o=2f 2f?+x=2f 1t?+x=1t 3r?+x=3r!
1t?-o =1r 1r?+x=1r 3t?+x=3t!

2r?+o=2r 2f?-o=2r 1t?+o=1t (3t?-o=3f)* 3f?+o=3f!
1t?-x=1f 1f?+o=1f (3f?-o=3t) 3t?+o=3t!

*better 1 more press than jolted

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