Question

Which option depicts one of the cases of Arthur, Bob and Charles being Truthful, Liar and
Alternator(the one who alternates between a lie and a truth in no order), based on the following
scenario -
Arthur says, "I am the truthful one" while, Bob says, "Arthur is the truthful one", and Carl says, "I am the alterator"​

Answer 1

Given : Arthur says. "I am the truthful one while, Bob says. "Arthur is the truthful one", and Carl says I am the alternator

To Find : Who is who

Solution:

Let say Arthur is Truthful

Arthur says. "I am the truthful one  which is Truth

Bob says. "Arthur is the truthful one  Truth  Hence Bob must be alternator

Carl Says - I am alternator  - LIE  hence Carl is Lier

Satisfy all condition.

Let say Arthur is Liar

Arthur says. "I am the truthful   Which is Lie

Bob says. "Arthur is the truthful one   again a lie Hence Bob is alternator

Carl Says - I am alternator   which must be Truth but can not be

Hence this case not possible

Let say Arthur is alternator

case 1 : Bob is Truthful

Bob says. "Arthur is the truthful one"   is a Lie  Hence not possible

Case 2 : Carl  is Truthful

Carl Says - I am alternator  which is not possible

Hence this case not possible

So

Arthur is Truthful

Arthur says. "I am the truthful one  which is Truth

Bob says. "Arthur is the truthful one  Truth  Hence Bob must be alternator

Carl Says - I am alternator  - LIE  hence Carl is Liar

Satisfy all condition.

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