Question

In a cosmopolitan club, there are three groups, Golden, Silver, and Diamond. While members of the Golden group
are truthful, members of the Silver group are liars, and each member of the Diamond group is an alternator (who
alternates among truth and lies in any order). Adam, Billy, Cam, and David, who are members of different groups
of
the club, work as Advocate, Doctor, Pilot, and Engineer, not necessarily in the same order. They made the following
statements when asked about their categories and profession.
Adam: Exactly two of us are truthful. I am an Advocate. The Doctor is an alternator.
Billy: I am an alternator. I am an Engineer. Cam is a liar.
Cam: I am truthful. I am a Doctor. David is Pilot.
David: Exactly two of us are liars. I am a Doctor. Billy is an Advocate.
If Billy is an advocate and David is a doctor, then who is/are the liar(s)?​

Answer 1

Given :-

Adam: Exactly two of us are truthful. I am an Advocate. The Doctor is an alternator.

Billy: I am an alternator. I am an Engineer. Cam is a liar.

Cam: I am truthful. I am a Doctor. David is Pilot.

David: Exactly two of us are liars. I am a Doctor. Billy is an Advocate.

To Find :- If Billy is an advocate and David is a doctor, then who is/are the liar(s) ?

Answer :- Adam and Cam are liars.

Explanation :-

Statement :- Billy is an advocate and David is a doctor .

Conclusion :-

• Billy says that he is an alternator. He is an Engineer. Cam is a liar. which is false as billy is an advocate .
• Cam says that, he is truthful , a doctor and david is pilot which is also false as david is a doctor .
• David says that, exactly two of us are liars. I am a Doctor and Billy is an Advocate . This statement is true . Therefore, David is telling the truth .

Hence, we can conclude that, Adam and Cam are liars.

Answer 2

Answer:

Adam and Cam are liars.

:) ;)