Thursday, May 07, 2009

Who is which?

In an imaginary country called Amphibilians, there two types of people. One is called Fellahs, who invariably tells the truth, and the other is Phibba, who invariably lies. The inhabitants of Amphibilians have problem telling the two apart, but visitors would usually find themselves confused. One day, a visitor met with a group of five Amphibilians. He asked them, “Are you Fellahs or Phibbas?” The first person answered, “There are more Fellahs than there is Phibbas among us.” The second person shook his head, “No, there are more Phibbas than there is Fellahs among us.” The third person said “Two of us are Fellahs.” The fourth person said, “Three of us are Phibbas.” The visitor asked the fifth guy, “What about you?” The fifth person answered, “I am a Fellah.”

Can you tell which are Fellahs and which are Phibbas among these five Amphibilians?

Answer:















3 and 4 are in agreement, so they belong to the same group.
1 and 2 are not in agreement, so they belong in a different group.
Let's say 3 & 4 are Fellahs, and plus either 1 OR 2, that would be at least 3 Fellah, so it's contradicting 3's statement, which can't happen if 3 is a Fellah. So 3 & 4 are Phibbas.
So, 2 is Fellah, because he said there's more Phibba than Fellah.
So, 1 is Phibba, because he's the opposite of 2.
What about no 5? If he is Fellah, than 3 is right (there is 2 Fellah) which can't happen because 3 is a Phibba (he lies).
So, 5 is a Phibba.
In conclusion, all are Phibba except no 2.

10 comments:

Bas

fening aku phening mynie..

aku teka only the 2nd is fellah, the rest are phibas

ipohmom

pening lah mynie...

yang akak tau, ada 3 katak besar di Perak! :)

UmmuAhmads

mynie, pening nya kepala saya... sbg mana peningnya saya melihat keadaan politik di msia....

Nanti saya cuba fikir ye... atau, bagi je lah jawapan...hehehe...

bAiTi

The 2nd one, I guess :P

bAiTi

2nd one phibbas

UmmuAhmads

Mynie, saya rasa Bas a.k.a Drwati betul... the 2nd one je yg fellah, yg lain semua phibbas... ;)

SMM

bas,
yeah right, teka konon - kau betul! mesti dah buat penaakulan mantik ni :)

ipohmom,
hah kalau katak tu, amphibians.. tak jauh dah tu dari amphibilians..

ummuahmads,
ah-ha kalau pening politik malaysia tu mmg saya setuju. at least teka-teki ni ada juga logic & reasoning, boleh deduct..

baiti,
that's close (terbalik je)! thanks for trying :)

Bas

mana ada penaakulan mantik,aku main lukis bulat2 je atas megasketcher anak aku, try n error ikut yg no 5 tu tipu ke tak, takdela groupkan org2 tu macam kau, gila tak sistematik problem solving aku

bAiTi

hahaha.. actually i answered fellas. silap type tu :P

SMM

bas,
well, whatever methods, it was still a deduction. i used some sort of table, but leceh nak buat table ke bulat2 (mcm kau) so kena tulis style penerangan gitu..

baiti,
oh typo rupanya. mcm saya selalu buat, selalu tertukar bila ada 2 benda (binary) for eg i sometimes said left when i meant right. haha ;p

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