Mix-up Logic Puzzle!
Contributed by Myron Janzen,
Math teacher at Duchesne Academy
in Houston, Texas
Jeffrey Jefferson delivers mail for the Post Office. His delivery route includes the posh
10-story Memorial Park Apartment House.
There are 10 families which reside at this building (one family per
floor). Each family gets 3 different publications a day. The delivery schedule
to the Apartment House includes 10 different magazines in all.
Each magazine has a very goofy name and it is unlikely you have ever heard
of any of them, but why let that spoil a good puzzle?
Here are the names of the five monthly magazines and five weekly
The 5 Monthly Magazines
The 5 Weekly Magazines
- The Hula Hoopist
- Tic-Tac-Toe Review
- The Yo-Yo Fancier
- The Tobacco Spitter
- The Snipe Hunter
- The Hopscotch Advocate
- The Telephone Booth Stuffer
- The Potato Sack Racer
- The Shuffleboarder
- The Pie Eater
Unfortunately for Jeff, it rained today. When he began pulling the magazines from his
not-too-waterproof sack, he found all the labels stuck together in a gummy mess. Undaunted,
Jeff sat down in the lobby to figure out which magazines to stuff into the mailboxes of the following families:
The Ten Families
Can you determine which floor
each family lives on?
1. The Altmans
2. The Becks
3. The Clarks
4. The Donovans
5. The Engels
6. The Falks
7. The Gardiners
8. The Hansens
9. The Ibsens
10. The Judsons
Although it is important to remember that each of the ten periodicals has three subscribers among the residents of
the Memorial Park Apartments, please
note that no two families get more than ONE magazine in common.
Jeff also remembered that each family subscribes to either two monthlies and a weekly or two weeklies and a monthly.
Inasmuch as each family occupies an entire floor by themselves, by close examination of the
following clues you can determine which family lives on which floor as well as the three magazines each family receives. Here are the
16 remaining facts that Jeffrey Jefferson was sure about:
1. The families on the 1st and 10th floors, as well as the Clarks, all get
The Tobacco Spitter.
2. The Hansens and the Gardiners, as well as the family on the 10th floor, subscribe to
The Pie Eater.
3. The families who get The Shuffleboarder all live on odd-numbered floors.
4. The Becks, who live directly above the Hansens, subscribe to The Tic-Tac-Toe Review, The Tobacco Spitter,
and The Pie
5. The families that subscribe to The Telephone Booth Stuffer all live on even-numbered floors.
6. None of the families above the 6th floor gets The Hopscotch
7. The Falks, who get The Telephone Booth Stuffer plus two monthlies, live directly above the Engels, whose subscriptions include
The Yo-Yo Fancier and the The Potato Sack
8. Among the families on floors 1, 2, and 3 (one of whom is the Donovans), one gets the The
Hopscotch Advocate, another gets the The
Shuffleboarder, while one of the remaining weeklies is subscribed to by all three families.
9. The Ibsens live directly above the family that subscribes to The Tobacco
Spitter, The Hula Hoopist, and The Hopscotch
10. The Judsons, whose subscriptions include The Snipe
Hunter and The Hopscotch Advocate, live directly above and below families who receive The Potato Sack Racer.
11. Subscribers to The Yo-Yo Fancier are the Altmans and the family on the 8th floor, and also the family whose other subscriptions are for
The Tic-Tac-Toe Review and The Potato Sack
12. The same monthly goes to the Judsons and the family on the 7th floor, and also to the family whose other subscriptions are for
The Hula Hoopist and The Telephone Booth
13. The family on the 5th floor subscribes to The Tobacco Spitter, The Hula Hoopist, and
The Hopscotch Advocate.
14. The Falks do NOT subscribe to The Tic-Tac-Toe Review, The Yo-Yo
Fancier, or The Tobacco Spitter.
15. The same monthly goes to the Ibsens, the Becks, and also the family on the
16. The Hansens do NOT receive The Tic-Tac-Toe Review, The Yo-Yo
Fancier, or The Tobacco Spitter.
The Magazine Mix-up Puzzle isn't all that hard, but
it is very long. There is a lot of information to keep track of.
It took me about two hours to solve it. Send your answers
to Rick Archer, firstname.lastname@example.org