Sunday, July 2, 2017

logical deduction - What is his full name?


A smart man meets three smart persons (Raj, Lisa and Nick) for the very first time. They ask him his name.


He writes 12 full names on a piece of paper and puts it in front of them. He says his full name is one of the 12.


enter image description here



Then he separately writes down his first name on a piece of paper and only gives it to Raj. So the other two don’t get to see it.


He writes down his middle initial on another piece of paper and only gives it to Lisa. Again Nick and Raj don’t see that.


Then he writes down his surname (last name) on a piece of paper and only gives it to Nick. Raj and Lisa don’t see it.


He asks Raj: Do you know my full name?


Raj responds: No I do not. But I know they do not either.


The man looks at Lisa.


Lisa responds: Hmm. I did not know before Raj spoke and I do not know now.


The man looks at Nick.


Nick says: I did not know before, but now I know your full name.


Raj says: Now I know it too.



Lisa says: Me too.


So what is his full name?


Loosely based on a structure of another puzzle to be disclosed after answers are in.



Answer



It should be



Ben A Armistead



Logic behind it:




If his first name is Robert or Ken, Nick might know if his last name is Atkinson or Armitstead (note the additional t), which are unique. Thus, in such a case Ray couldn't say for sure that Nick doesn't know. If his first name is Scott, Lisa might know since the middle letter B is unique. Since Lisa still doesn't know it, it can't be Richard R Armistead (since his R is unique among the remaining options). Since Nick now knows, his last name must be unique for the remaining options and must be Armistead, the corresponding name/initial being Ben A.



From my comment on the OP, and the question in a comment on this one, here's an analysis if Ken R Armitstead was called Ken R Armistead instead (that's a lot of steads right there):



Ken is now a possible first name. Thus, the R is not a unique initial, and we can't eliminate it since Lisa can't gain any info from it. Then, we have 2 unique last names left (Johansson and Fleischman). Since Nick knows, it must be one of those and not Armstrong or Armistead. Then, Lisa also knows since their middle letters are distinct. Poor Ray is left unknowing, however, since they are both called Ken (and the knowledge that Lisa and Nick know his name doesn't help either).



No comments:

Post a Comment

classical mechanics - Moment of a force about a given axis (Torque) - Scalar or vectorial?

I am studying Statics and saw that: The moment of a force about a given axis (or Torque) is defined by the equation: $M_X = (\vec r \times \...