An island comprises entirely of Liars and Truthers..

Truthers always tell the truth but Liars will always speak falsely.



Precisely 45 people attended a dinner in the island. Each one of them sat at a big round table.

After the dinner was over, each of the attendees was asked about their neighbours, and each stated that they were seated between one Liar and one Truther.

It transpired later that precisely two of the Truthers were mistaken in their statements.

Determine the number of Liars And Truthers attending the dinner.

• 30 truthers and 15 liars
• 12 years agoHelpfull: Yes(2) No(1)
• 21 liars and 24 truthers.
  In the round table, 1st one which sat as liar ane 2nd one which sat as truther.
  Like that persons which sat in ODD rows are liar and EVEN rows are truther upto 42 seats(21 liars + 21 truthers).
  Then, 43, 44 and 45th seats are occupied by truthers.. So, the 43rd and 44th truthers are mistakenly said.
• 12 years agoHelpfull: Yes(2) No(3)
• 30 truth tellers and 15 liars
  
  
  we must take our base pattern of TTF TTF TTF .......TTF (13 sets), and insert a TTT and an FTF, in order to keep the total at 45. Where we add them is irrelevant.
• 12 years agoHelpfull: Yes(2) No(0)
• 30 Truthers and 15 Liars
  
  Example: All stated that they were seated between one Liar and one Truther. But Liar speaks false. liars are not sitting between one Liar and one Truther. Actually liars are sitting between two truthers. Only Truthers are sitting between liar and Truther.
  
  T represesnt Truther and L represents Liar. In a sample of 45 people the positions will be
  TTL TTL TTL TTL TTL... 15 people
  TTL TTL TTL TTL TTL... 15 people
  TTL TTL TTL TTL TLT... 15 people ---- 3
  
  It transpired later that precisely two of the Truthers were mistaken in their statements means 43rd and 1st poistion Truthers were mistaken in their statements.
  
  
  
  From the above sample, we can say all Truther were seated between one Liar and one Truther and Also
  
• 12 years agoHelpfull: Yes(1) No(4)