Liar, Liar, Pants on Fire!

Logic Level 2

Once Calvin travelling in his airplane enters the Bermuda triangle. Fortunately, instead of sinking in the sea, it lands on a strange island. On that island, fortunately again, there are some people living. Calvin somehow got to know that there were two kinds of people on that island: the people who always spoke truth and the people who always spoke lies. Calvin encounters 5 people \(A,B,C,D,E\) in his way. The five people gave their statements as follows:

Person A: More of us speak truth than lie.
Person B: More of us speak lie than truth.
Person C: Only two of us speak truth.
Person D: Only three of us speak lie.
Person E: I always speak truth.

Calvin is in search of truth speaking person(s) so that he can return to his hometown. So which person(s) definitely speak the truth?


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