2015 Holiday Logic Puzzle from IMACS


December 24, 2015 Filed under: Logical Reasoning IMACS Staff Writer @ 1:00 am

After school, weekend and online programs in math and computer science for gifted children who enjoy fun, academic challenges.

Last New Year’s Eve, Mary, Nancy and Peter each made a different resolution about desserts.

  • One of them said "No ice cream."
  • One of them said "All of my desserts will have fruit! (That makes it healthy, right?)"
  • One of them said "No chocolate."

In January, the three friends went out to eat three times. Loving social media, they each declared their dessert choice online during the meal. During each meal …

  • exactly one person kept his or her resolution and was honest about it,
  • exactly one person broke his or her resolution and was honest about it, and
  • exactly one person broke his or her resolution and lied about it.

Over the three meals, each person took each action once. Here were their declarations:

  Mary Nancy Peter
At Meal #1 peach cobbler apple pie with vanilla ice cream chocolate ice cream
At Meal #2 chocolate covered strawberries plum pudding peach cobbler
At Meal #3 apple pie with vanilla ice cream chocolate cake cheesecake

For each person, what resolution was made?

Try your best before looking at the solution to this year’s IMACS Holiday Logic Puzzle.

IMACS wishes you and your family a happy holiday season and healthy new year! Like IMACS on Facebook for the latest information about our local classes and online courses.
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