Question

WIL
Which of the given statements is correct with respect to the following scenario?
On an island, sun worshipers are truthful, moon worshipers are liars and earth worshipers are
alternators. During a festival, a person meets three people Allen, Brock, and Cathy belonging to
different groups.
Allen said, "I am a sun worshiper", Brock said, "Allen is telling the truth" and Cathy said, "I am an earth
worshiper".​

Answer 1

Given : On an island, sun worshipers are truthful, moon worshipers are liars and earth worshipers are alternators. During a  festival, a person meets three people Allen, Brock, and Cathy belonging to different groups.

Allen said, "I am a sun worshiper", Brock said, "Allen is telling the truth" and Cathy said, "I am an earth worshiper".​

To Find :  Which of the given statements is correct with respect to the given scenario

1) Allen worships suns

2) Brock worships moon

3) Cathy worships sun

4) Cathy worships earth​

Solution:

sun worshiper - always Truth

Moon worshiper - always lie

Earth worshiper - can be Truth or Lie ( as they alternate their statement )

Allen said, "I am a sun worshiper"

case 1 :

Assume Allen is sun worshipers  hence truthful

so Allen is telling truth

so Now  Brock said, "Allen is telling the truth"

Hence Brock Must be Earth worshiper  and telling Truth in this case

now Cathy must be moon worshiper

Cathy said, "I am an earth worshiper".​ - LIE  

Allen -  sun worshiper

Brock  - Earth worshiper

Cathy  - moon worshiper

case 2 :

Assume Allen is Moon worshiper

Allen said, "I am a sun worshiper"   -  LIE

Brock said, "Allen is telling the truth" also must be a LIE

Hence Brock must be  Earth worshiper  telling LIE in this case

now Cathy must be Sun worshiper

but Cathy said, "I am an earth worshiper".​ - LIE   ( not possible as sun worshiper always speak truth )

so CASE 2 not possible

Assume allen is Earth worshiper

Allen said, "I am a sun worshiper"   - LIE  in this cas

Brock said, "Allen is telling the truth" also must be LIE

so Brock must Moon worshiper

hence Cathy must be Sun worshiper

But Cathy said, "I am an earth worshiper".​

Which is False   Hence not possible again

so CASE 3 not possible

Hence

Allen -  sun worshiper

Brock  - Earth worshiper

Cathy  - moon worshiper

from given options

1) Allen worships suns   - Correct  

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