A Logician meets with five of his new students. These students have never met before and do not know each other's names. The logician goes to the board and writes all their names in random order.
I know you do not know each other's names. Here is what I want you to do. Any one of you can write down the following statement on the board:
My name is not ______
The blank must be a first name or a last name and must be a single word. After seeing that, are the others able to guess that person's name? AND can that one sentence lead you to correctly guess all the other student’s names? No talking to each other of course.
The students thought about it. They realized the following:
Four of the five students were girls and one was a boy.
Four of the five first names were gender neutral. One (Rosa) was not.
Two of the five students were Asian (Chinese)
So here is what happened.
A student wrote on the board: MY NAME IS NOT _______
Immediately all the others knew who that person was.
Then, two other students came forward and said: I know each and every student’s names. Then those students proceeded to correctly identify all the names.
Who was the first student and what name did he/she write in his/her written sentence?
How did everyone else identify him/her?
Which were the other students who correctly identified everybody?