Mrs Goodsworthys Hats Puzzle

The Puzzle:

Mrs Goodsworthy has 6 gorgeous hats. 3 are green, 2 are blue, and 1 is canary yellow.

Four of her friends, Janet, Collette, Melanie, and Anya have come for tea and are trying on her hats. Mrs. Goodsworthy helps each friend put on a hat and has them stand in a line as shown below.

Janet > Collette > Melanie > Anya

None of the ladies can see what color hat she is wearing.
Janet can see the colors of the hats Collette, Melanie, and Anya are wearing.
Collette can see the colors of the hats Melanie and Anya are wearing.
Melanie can see the color of the hat that Anya is wearing.
Anya cannot see the color of any of the hats.

Mrs. Goodsworthy asks her friends what color hat each of them is wearing, and Janet says she can't tell. Collette says she isn't able to tell either, and Melanie says she can't tell.

Anya, on the other hand, is able to announce the color of her hat. How was Anya able to figure out the color of her hat, and what was the color?

The color of Anya's hat was green.

If Janet and Collette said "I can't tell" it tells Melanie that hers or Anya's is the hat that there were 3 of (i.e., green).

If Melanie saw any other colour she would therefore know that hers was green, but, since she didn't, Anya knew hers was green.

⊟ Logic Puzzles

Total
Attended	0
Correct	0
Incorrect	0

Puzzles Logic Puzzles Mrs Goodsworthys Hats

Mrs Goodsworthys Hats Puzzle

Score Board