True colours

Logic Level 2

Mr. White, Mr. Blue, Mr. Brown, and Mr. Pink are at a restaurant.

Mr. Pink said, “I can’t believe it. The boss gave us names that matched our shirt colours, but no one got the same name as their own shirt colour. My name is terrible.”

“Who cares what anyone’s name is?” said the person in the blue shirt.

“Yeah, that’s easy for you to say. You have a cool sounding name. Maybe if the cleaners hadn’t messed up my dark coloured shirts I could have worn a different shirt and gotten a better name,” Mr. Pink replied.

“Yeah, I don’t like my name either,” said Mr. Brown.

What colour shirt was Mr. White wearing?

Hint: use a logical grid.

Blue Brown Pink White Not enough information

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2 solutions

Joshua Lowrance
Apr 20, 2019

Mr. Pink, Mr. Brown, and the person in the blue shirt all talk. Mr. Pink and Mr. Brown cannot be wearing the blue shirt because the blue shirted person talks separately from Mr. Pink and Mr. Brown. Mr. Blue cannot be wearing the blue shirt because no one wears the same color shirt as their name. Therefore Mr. White is wearing the blue shirt.

Jonathan Tse
Apr 19, 2019

Firstly, everybody's name colour can't be their shirt colour, so that cancels out four. Mr. Pink can't be wearing a blue shirt, because Mr. Pink replies to the person in the blue shirt. Pink also can't be wearing a brown shirt, as the question states that the cleaners messed up his dark shirts, including brown. So, by elimination, Pink wears a white shirt, and nobody else wears white.

Mr. Brown doesn't like his shirt colour either, which is a different idea than the person in blue. Therefore, once again due to elimination Mr. Brown wears a pink shirt.

Since nobody else wears a Blue shirt, Mr. White wears a Blue shirt.

Use a logical grid to keep up if needed.

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