1) Four Mensans have sowed confusion in their city. They are Allan, Beatrice, Carlo and Denise. How have they sowed confusion? They have formed a SIG, that’s how. Well, not quite. The real source of confusion is that each of them has a cat named after one of the other three people, and a dog named after yet another of the three. You guessed correctly that no two dogs and no two cats have the same name. I can tell you that Denise’s dog is named after the person who owns the cat Carlo, and Carlo’s cat is named after the same person. Beatrice’s cat is named after the person who owns the cat in turn named after the person who owns the dog Allan. So…. who owns the dog Denise?  

2) In Mensa Calgary’s ping pong tournament for 2008, there were 96 entrants. We devised a complex formula for the first round, which resulted in 80 entrants remaining after 32 games. Thereafter, we simplified: a person was eliminated after one loss. No matches were tied. How many games in all were played to determine the winner?

 

 

The answers to June’s puzzles were supplied in the June issue.

 

Here are the answers to this month’s puzzles:

 

1) If the names are given corresponding letters of the alphabet, this is the ownership chart:

 

Owner             A            B            C            D

Dog                 C            A            D            B

Cat                  D            C            B            A

 

Therefore Carlo owns Denise the dog.