Solution to Last Week’s Merry Birthday Puzzle!

A week ago, we shared a brain teaser sent in by a PuzzleNationer named Darrin (who credited Marilynn Rapp Buxton as the creator of the puzzle). Darrin challenged us to solve the following logic puzzle.

Today, we’re going to share not only the solution, but how we got there! Please enjoy this brief solve and tutorial, submitted by one of your fellow PuzzleNationers!


Four friends — two girls named Holly and Joy, two boys named Kris and Noel — all celebrate their birthdays during December. Though none was born on Christmas Day — each was born on a different day — they all have festive names. Can you figure out each person’s last name and order of birth?

1. Nobody’s first name goes with the traditional last name (Berry, Fully, Kringle, or Singer) that you might expect.
2. Someone’s birthday is three days after their friend Joy’s birthdate.
3. Holly’s birthday is three days before Noel’s and three days after Kris’.
4. Miss Fully’s birthdate is six days after Joy’s.
5. Noel’s birthdate is six days after the one whose last name is Berry.


christmas elves

[Image courtesy of Moji-Moji Design on ravelry.]

Let’s sort out the order of birth first.

We know from rule 3 that Holly’s birthdate is three days before Noel’s and three days after Kris’s. So their birthdate order is Kris, Holly, Noel.

But we also know from rule 2 that someone’s birthday is three days after Joy’s. Since they all have different birthdays, that means Joy’s birthday comes first in the order, giving us Joy, Kris, Holly, Noel.

Rule 4 tells us that Miss Fully’s birthdate is six days after Joy’s, so Holly’s last name is Fully.

Rule 5 states that Noel’s birthday is six days after the one whose last name is Berry, so Kris’s last name is Berry.

That gives us Joy ____, Kris Berry, Holly Fully, Noel ____.

Rule 1 tells us all four last names — Berry, Fully, Kringle, and Singer — and that nobody’s first name goes with the traditional last name that you might expect. Logically, those names would be Holly Berry, Joy Fully, Kris Kringle, and Noel Singer.

Since Kringle and Singer are the two remaining last names, and Singer can’t go with Noel, our final list reads Joy Singer, Kris Berry, Holly Fully, Noel Kringle.

How did you do, fellow PuzzleNationers? Did you solve this one? Let us know in the comments section below! We’d love to hear from you.


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