BdMO Problem 8

Logic Level 1

One day I bought one flower plant and asked my friends to tell the color and name of the flower.

Abed said, “White Rose”.

Orvill said, “Red China Rose”.

Monem said, “White Tube Rose”.

Everyone said either the color or flower name right but not both.

What flower did I buy?

White Rose Red China Rose Red Rose White China Rose

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1 solution

Anonymous Person
Sep 21, 2014

Answer: White China Rose.

When we read what each person said we notice an important thing: Abed and Monem said the same colour, but different rose names.

If we analize that situation carefully we can conclude that:

  • Both can't be right about the flower name at the same time, therefore both must be right about the colour: due to at least one of them being wrong about the flower name, that one must be right about the colour;

  • Given that both are right about the colour, it means that neither of them actually said the right name.

As a result: . White is the colour; - Neither "Rose" or "Tube Rose" are the right name, which means that, according to the options, it must be "China Rose", hence "White China Rose".

Even if we had to write an answer from nothing rather than choosing an option, we could still verify this easily:

  • Given that we already know white is the right colour, that means Orvill is wrong about the colour. However, it also means that he must be right about the name: "China Rose".

Now we know that the answer is, undoubtably, "White China Rose".

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