Help on Setup for In/Out games (December 01 Fruit Stand game
Posted: Thu Apr 21, 2011 2:01 pm
Hello folks,
So my main issue has been with logic games, and grouping games in particular. Would in/out games be considered a subset of grouping games? For an example of a game that I had somewhat of an issue diagramming, December 2001 had a fruit stand with fruits that can be in or out depending on what other fruits are on the stand. I'll list the game here:
A fruit stand carries at least one kind of the following kinds of fruit: figs, kiwis, oranges, pears, tangerines, and watermelons. The stand does not carry any other kind of fruit. The selection of fruits is consistent with the following conditions:
If the stand carries kiwis, then it does not carry pears.
If the stand does not carry tangerines, then it carries kiwis.
If the stand carries oranges, then it carries both pears and watermelons.
If the stand carries watermelons, then it carries figs or tangerines or both.
How would you go about tackling this problem? Writing out the conditionals and then the contrapositves might be a good step, and I tried. Should I set up an In/Out box? Is this an in/out game?
Edit: I figured perhaps I should put down the couple problems I got wrong to see how people would go about solving them.
4. If the stand carries no watermelons, then which one of the following must be true?
A. The stand carries kiwis.
B. The stand carries at least two kinds of fruit.
C. The stand carries at most three kinds of fruit.
D. The stand carries neither oranges nor pears.
E. The stand carries neither oranges nor kiwis.
5. If the stand carries watermelons, then which one of the following must be false?
A. The stand does not carry figs.
B. The stand does not carry tangerines.
C. The stand does not carry pears.
D. The stand carries pears but not oranges.
E. The stand carries pears but not tangerines.
For some reason it's the first two rules that are throwing me for a loop, even though I can't pinpoint exactly why. Perhaps I'm overthinking it.
Thanks for the help...
So my main issue has been with logic games, and grouping games in particular. Would in/out games be considered a subset of grouping games? For an example of a game that I had somewhat of an issue diagramming, December 2001 had a fruit stand with fruits that can be in or out depending on what other fruits are on the stand. I'll list the game here:
A fruit stand carries at least one kind of the following kinds of fruit: figs, kiwis, oranges, pears, tangerines, and watermelons. The stand does not carry any other kind of fruit. The selection of fruits is consistent with the following conditions:
If the stand carries kiwis, then it does not carry pears.
If the stand does not carry tangerines, then it carries kiwis.
If the stand carries oranges, then it carries both pears and watermelons.
If the stand carries watermelons, then it carries figs or tangerines or both.
How would you go about tackling this problem? Writing out the conditionals and then the contrapositves might be a good step, and I tried. Should I set up an In/Out box? Is this an in/out game?
Edit: I figured perhaps I should put down the couple problems I got wrong to see how people would go about solving them.
4. If the stand carries no watermelons, then which one of the following must be true?
A. The stand carries kiwis.
B. The stand carries at least two kinds of fruit.
C. The stand carries at most three kinds of fruit.
D. The stand carries neither oranges nor pears.
E. The stand carries neither oranges nor kiwis.
5. If the stand carries watermelons, then which one of the following must be false?
A. The stand does not carry figs.
B. The stand does not carry tangerines.
C. The stand does not carry pears.
D. The stand carries pears but not oranges.
E. The stand carries pears but not tangerines.
For some reason it's the first two rules that are throwing me for a loop, even though I can't pinpoint exactly why. Perhaps I'm overthinking it.
Thanks for the help...