In Leftwrite, every inhabitant is either a lefty or a righty. Lefties write true statements with their left hand and false statements with their right hand. Righties write false statements with their left hand and true statements with their right hand. An inhabitant wrote these statements.
1. This statement was written with my left hand.
2. Both of these statements were written with my right hand.
What type is the inhabitant, and what hand was each statement written with?
(In reply to
Puzzle Answer by K Sengupta)
Assume that Statement 1 was written by a Rightie.
Then with his right hand he would truthfully write and with his left hand he would falsely write that Statement 1 was written with his right hand. This is a contradiction.
Accordingly, Statement 1 was written by a leftie either using his left hand or the right hand.
Assume Statement-2 is true.
Then, it follows that the Leftie wrote both the statements with his right hand. This, inter alia, implies that Statement-2 must be false.
Accordingly, the Leftie wrote Statement 2 with his right hand.
In such a situation, Statement-2 will remain false, if the Leftie had written Statement-1 with his left hand.
Consequently, summarizing this we have:
The inhabitant is a Leftie.
He used his left hand to write Statement 1, and:
He used his right hand to write Statement 2.
Edited on March 25, 2022, 3:36 am
Explanation for Puzzle Answer
