Four gentlemen and four young ladies are shipwrecked on a deserted island. Eventually each person falls in love with one person and is loved by one person.
The names of the four gentlemen are: Jason, Arthur, Jim and Bill. The names of the four ladies are: Gloria, Rose, Mary and Jill.
You are given the following information:
- The lady that Jason loved fell in love with Jim.
- The lady that Arthur loved fell in love with Bill.
- Gloria loved neither Jim nor Jason.
- The gentleman that Rose loved fell in love with Mary.
- Bill did not love Mary.
- Gloria loved the gentleman who loved Rose.
There is no mutual love interest (nobody loves the person who loves them back). Nobody is homosexual or narcissistic.
Whom did Arthur love?
Either we have an eight-sided love "triangle" (ie, 1 loves 2 who loves 3 who loves 4 who loves 5 who loves 6 who loves 7 who loves 8 who loves 1) or we have two 4-sided "triangles" (1 loves 2 who loves 3 who loves 4 who loves 1).
Clues 4 and 6 mean that Gloria and Rose and Mary are in the same triangle, so that it must be the first case. In fact, from clues 4 and 6, Gloria loves ? loves Rose loves ? loves Mary loves ? loves Jill loves ? loves Gloria.
From clues 1 and 2, our 8-sided triangle must also be Jason loves ? loves Jim loves ? loves Arthur loves ? loves Bill loves ? loves Jason.
So who does Gloria love? It is not Jim or Jason (from clue 3), and it cannot be Arthur (because then Bill would love Mary). So, Gloria must love Bill, and the full relationship is: Gloria loves Bill loves Rose loves Jason loves Mary loves Jim loves Jill loves Arthur loves Gloria.
Final answer: Arthur loves Gloria.
Romantic triangles (spoiler)
