Brain Teasers
Baggage Mishaps
Logic-Grid
Logic Grid puzzles come with a handy interactive grid that will help you solve the puzzle based on the given clues.Logic-Grid
Savannah got distracted when her shuttle arrived at Earth Central Airport. Now she's at Lost & Found with four other travelers all waiting to retrieve one lost piece of luggage of a different color (black, blue, green, red or yellow.) While filling out their baggage retrieval paperwork, they discovered an amazing coincidence. Each person had the last name of one other person's nationality and another's destination country (America, England, France, Panama or Zambia). Nobody had the same last name, nationality or destination country of anyone else in the group. Each person is traveling from his or her country of origin to only one other country. Use the following clues to determine each traveler's first name, last name (L), nationality (N), destination country (D) and baggage color. Because this is Logic Land, the unlikelihood of the travelers actually sharing the same airport is not of any concern in solving this puzzle.
1. Each traveler's last name, nationality and destination country are three different names.
2. Ms. Panama is neither the Zambian citizen nor the one going to England; Carmelita wants her suitcase to stand out, so she is not the person with the black bag. (All five travelers are mentioned in this clue.)
3. The person bound for France, who asked Echo where she bought her fragrant cup of coffee, sat next to Mr. England.
4. Echo is not the French citizen that helped Pierre with his paperwork.
5. Of the person with the lovely yellow suitcase and Savannah, one is traveling to Zambia and the other is the American citizen.
6. Pierre's destination country is the nationality of the owner of the black bag; the destination country of the owner of the black bag is Pierre's nationality.
7. The person surnamed America is not going to France and the person traveling to America has either a blue or green bag.
8. Juan, who does not have yellow luggage, does not have England as his last name.
9. The five travelers are the American, Echo, the blue suitcase owner, the one traveling to Panama and Ms. France.
1. Each traveler's last name, nationality and destination country are three different names.
2. Ms. Panama is neither the Zambian citizen nor the one going to England; Carmelita wants her suitcase to stand out, so she is not the person with the black bag. (All five travelers are mentioned in this clue.)
3. The person bound for France, who asked Echo where she bought her fragrant cup of coffee, sat next to Mr. England.
4. Echo is not the French citizen that helped Pierre with his paperwork.
5. Of the person with the lovely yellow suitcase and Savannah, one is traveling to Zambia and the other is the American citizen.
6. Pierre's destination country is the nationality of the owner of the black bag; the destination country of the owner of the black bag is Pierre's nationality.
7. The person surnamed America is not going to France and the person traveling to America has either a blue or green bag.
8. Juan, who does not have yellow luggage, does not have England as his last name.
9. The five travelers are the American, Echo, the blue suitcase owner, the one traveling to Panama and Ms. France.
Hint
Hint: We know that Echo is a woman from clue 3, so there are 3 women and 2 men. Pierre is Mr. England from clues 3 & 8. He must be Zambian since he cannot be any of the other people in clue 2. Since Pierre is Zambian, clue 6 tells us that the owner of the black luggage must be the one going to Zambia. In clue 5, Savannah must be the owner of the black bag since the person going to Zambia cannot have the yellow bag (clue 6), which makes the yellow bag's owner the American. Next look at clue 9 for information on the remaining two travelers.See answer for complete step-by-step solution.
Answer
We know that there are 3 women, Carmelita, Savannah, and Echo (clue 3), and 2 men, Pierre and Juan. We know that Pierre is surnamed England, since clue 3 tells us that the person surnamed England is male, and clue 8 tells us that Juan, the only other male is not Mr. England. In clue 2, Pierre is not Ms. Panama, the traveler to England (clue 1 tells us that Mr. England is not traveling to England), Carmelita, or the owner of the black baggage (clue 6); leaving only the Zambian. Since Pierre is from Zambia, clue 6 tells us that the owner of the black luggage must be the one heading to Zambia. In clue 5, the person traveling to Zambia (who we now know has black baggage) must be Savannah and the American citizen has the yellow luggage. Savannah must be Ms. France to fit clue 9 since she is not the American (the 3rd person we have identified), Echo, the owner of the blue bag (Savannah has the black bag), or the traveler bound for Panama (she is heading to Zambia). Savannah's nationality cannot be French or Zambian (clue 1), English (clues 1 and 6 - Pierre cannot be heading to England because of his last name), or America (since Savannah is not American). The only remaining country is Panama. So Savannah is Panamanian and clue 6 tells us that Pierre must be heading to Panama.We now have 3 people, Pierre, Savannah, and the American with the yellow bag. According to clue 9, the 2 remaining people are the owner of the blue bag and Echo. Juan is not the owner of the yellow bag (clue 8) so he must have the blue bag, leaving only Carmelita to be the American. Since Echo is not French (clue 4), she must be English and Juan is French (the only remaining option). We know that the person going to France is neither Echo from clue 3 nor Juan because he is French (clue 1), so the only remaining option is that Carmelita is heading to France. Clue 2 tells us that Carmelita is not Ms. Panama, so she must be Echo. Carmelita cannot be surnamed America (clue 1) so this is Juan's last name, leaving only Zambia as Carmelita's surname. Clue 2 tells us that Ms. Panama cannot be the one traveling to England so that must be Juan's destination. Echo is traveling to America, the only remaining option. From clue 7, Echo must have the green bag, since Juan has the blue bag, leaving the red bag to belong to Pierre.
First-Last-Nationality-Destination-Color
Carmelita-Zambia-America-France-Yellow
Echo-Panama-English-America-Green
Juan-America-French-England-Blue
Pierre-England-Zambia-Panama-Red
Savannah-France-Panama-Zambia-Black
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Comments
Great job! Loved the tricky tracking of names, nationalities and destinations.
Thank you! I'm glad you liked it.
Wow, this was great. I think my brain is shot now.
The main reason I thought it was hard where a lot of varaitions of names.
But I agree it was hard!!!
Great puzzle.
The duplicate last names, nationalities and destinations added a nice twist.
The duplicate last names, nationalities and destinations added a nice twist.
I really enjoy the way you word the clever clues; they are quite clear, but complicated. Some day soon I hope to solve it!
Another great puzzle! I am brand new to this site. I just did cabaret's new puzzle and wanted to do others by this member. This one is even more fun than the last.
I loved how the first clue resulted in 15 boxes filled in the grid. And how the yellow/Savannah clue tied in with the I think it was the 2nd clue. And there were no extra clues. Please keep these coming.
I am off to try your 3rd teaser!
I loved how the first clue resulted in 15 boxes filled in the grid. And how the yellow/Savannah clue tied in with the I think it was the 2nd clue. And there were no extra clues. Please keep these coming.
I am off to try your 3rd teaser!
Wow, I'm a bit embarassed I had to use your hint, but that was fantastic! Thanks!
Nice! Messed up early on -- read a "not" into a clue where there wasn't one -- but then restarted and got it. Very enjoyable.
very fun! nice job (my only quibble is that I would list the surname in the grid as France instead of French.)
Loved it. Challenging but doable!
This one was a great challenge. Extreme concentration was exercised. Very well done.
Great job! Once I realized that I had skipped a clue, I got it!
Excellent puzzle! Really worked my brain on that one...had to break out the pen and paper to keep track.
Absolutely brilliant! I actually had to make a second logic grid on paper for clues two and nine!
Wonderful puzzle. I think the only misleading thing is you refer to someone as Ms. France but on the grid it says French for the last name. Made me think you meant the nationality at first instead of the last name.
DUUUUUUDDE that was a tough one! Every clue feels redundant, but its not..
Love the idea, great job!
Love the idea, great job!
Great puzzle, thanks!
I managed to solve it with glpsol (a free linear and mixed integer programming solver, available for most platforms).
Just in case anyone is interested to play with it, I have uploaded the model file to pastebin ( http://pastebin.com/mCNRrQm7 )
I managed to solve it with glpsol (a free linear and mixed integer programming solver, available for most platforms).
Just in case anyone is interested to play with it, I have uploaded the model file to pastebin ( http://pastebin.com/mCNRrQm7 )
Saska, Congratulations on your truly unique and completely befuddling (at least to me) solution method! I really appreciate your response.
@caberet
The problem is that, after spending some quality time with linear algebra, once you master the (black) art of rewriting those logic grid puzzles to a set of linear expoessions which can be solved by a computer in mere seconds, most of their fun is gone.
As you may have noticed I went straight to the two problems rated as most difficult in this category and (mechanically) solved both of them. I guess I have to settle for other types of puzzles for the rest of my life. ;-)
Once again thanks for your great puzzles.
The problem is that, after spending some quality time with linear algebra, once you master the (black) art of rewriting those logic grid puzzles to a set of linear expoessions which can be solved by a computer in mere seconds, most of their fun is gone.
As you may have noticed I went straight to the two problems rated as most difficult in this category and (mechanically) solved both of them. I guess I have to settle for other types of puzzles for the rest of my life. ;-)
Once again thanks for your great puzzles.
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