#1271 - Dating Puzzle
katrina wants to go on a date and prefers her date to be tall, dark and handsome.
Of the preferred traits - tall, dark and handsome - no two of Shahrukh, Ajay, Salman and Akshay have the same number.
Only Shahrukh or Akshay is tall and fair.
Only Ajay or Salman is short and handsome.
Shahrukh and Salman are either both tall or both short.
Ajay and Akshay are either both dark or both fair.
Who is katrina's date?
Salman is katrina's date.
As no two of them have the same number of preferred traits - from (1), exactly one of them has none of the preferred traits and exactly one of them has all the preferred traits.
From (4) and (5), there are only two possibilities:
* Shahrukh & Salman both are tall and Ajay & Akshay both are fair.
* Shahrukh & Salman both are short and Ajay & Akshay both are dark.
But from (2), second possibility is impossible. So the first one is the correct possibility i.e. Shahrukh & Salman both are tall and Ajay & Akshay both are fair.
Then from (3), Ajay is short and handsome.
Also, from (1) and (2), Shahrukh is tall and fair. Also, Akshay is the person without any preferred traits. Salman is Dark. Shahrukh and Salman are handsome. Thus, following are the individual preferred traits:
Salman - Tall, Dark and Handsome
Shahrukh - Tall and Handsome
Ajay - Handsome
Akshay - None :-(
Hence, Salman is katrina's date.
