Thirteen friends and their birthdays

Logic Level 2

When Gustav and Sam were planning their shared birthday party, they noticed that the eleven friends they wanted to invite, Anna, Bill, Deb, Dory, Eliza, Gaby, Jan, John, Judy, Mary, and Otto, were all born on different months, all different from theirs, and that, just like them, they were each born on a month with at least two letters in common with their own name.

Which of the friends was born in November?

Deb Mary John Dory

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2 solutions

Henry U
Nov 17, 2018

Let's start by considering Anna and Otto because they only have two letters in their names. The only months that contain A and N or O and T are January and October respectively.

Jan is next. His month can't have A and N since Anna has her birthday there, so Jan's month must have a J. The possibilities are June and July, but July doesn't contain A or N. Therefore, Jan's birthday is in June.

Now consider John. By trying the remaining months, we see that only November can be possible for his birthday.

We're lucky and the question asks for November, so we don't have to find out about the other friends to see that John has his birthday in November.

V I S I O N .
Jan 11, 2019

Deb , Otto , Anna have only 2 distinct letters in their name . Deb can only be December , Otto can only be October.

Anna can only be January(Main Point)

We have John , Judy , Jan with J in their name .Since Jan has only June left as a option and therefore Judy has July as only option, therefore John Must be in November

And who is in February?

Hasmik Garyaka - 2 years, 3 months ago

How does Deb have only 2 distinct letters in her name?

Elliott Chen - 1 year, 4 months ago

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