Brain Teasers
Club Logic
At Jimbo's school there are 3 clubs: the snooker club, the chess club and the table tennis club.
1. All of the chess players also belong to one or more of the other clubs.
2. No snooker players play chess except for those who also play table tennis.
3. Some table tennis players who don't play chess also play snooker.
Now determine if the following statements are true or false:
A. Some non table tennis players that play snooker also play chess (T or F?)
B. No chess players that also play table tennis play snooker (T or F?)
C. Some non-snooker players who play chess also play table-tennis (T or F?)
1. All of the chess players also belong to one or more of the other clubs.
2. No snooker players play chess except for those who also play table tennis.
3. Some table tennis players who don't play chess also play snooker.
Now determine if the following statements are true or false:
A. Some non table tennis players that play snooker also play chess (T or F?)
B. No chess players that also play table tennis play snooker (T or F?)
C. Some non-snooker players who play chess also play table-tennis (T or F?)
Hint
Model this with a deck of cards such that the snooker players are the Hearts, the Chess players are the Kings and the table tennis players are court cards. Thus all Kings are Hearts and/or court cards. No hearts are Kings except for KH which is also a court card. Some court cards that are not Kings are also hearts. Now reinterpret the questions.Answer
A. The answer is FALSE. In terms of the hint given, some non court cards that are hearts are also Kings would be false.B. The answer is FALSE. In terms of the hint given, no King that is also a court card is a heart would be false.
C. The answer is TRUE. In terms of the hint given, some non-hearts that are Kings are also court cards would be true.
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Comments
This may be extremely easy, but it is very enjoyable. Good going Jimbo!
I disagree on the extremely easy part - but I agree on the enjoyable part!
Nov 03, 2003
Fairly easy, but entertaining.
he was oke but not bulletproof
Should not C be false? All (not some) non-hearts that are kings are also court cards.
It is certainly true that all Kings are court cards. This does not make it false. We are asked to determine if some are court cards. Yes some are court cards, in fact all are court cards. This makes it true.
I could feel my brain exploding, but hey, I figured it out.
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