Question

Which option depicts one of the cases of Arthur, Bob and Charles being Truthful Liar and
Alternator(the one who alternates betwee's a le 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 7am
the alternator"

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

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 Liar

Satisfy all condition.

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Answer 2

Explanation:

In the scenario given in question statement, Arthur is truthful and Bob is the alternator actually since Bob is verifying the statement of Arthur that he is saying correct. Carl is simply stating his role but isn't giving any idea as if Arther is telling truth or lie. So his role is not being served and Carl is a liar while this is done by Bob which is giving some statement about Arthur.