# Five Card Trick Puzzle - Solution

### The Puzzle:

I am thinking of one of these five cards:

You have to try to find out which one I am thinking of. Here are some clues:

i) The value of my card is a prime number.

ii) The values of my two neighbours add up to a multiple of 3.

iii) My card is next to a card which is next to the 2 of hearts.

You have to try to find out which one I am thinking of. Here are some clues:

i) The value of my card is a prime number.

ii) The values of my two neighbours add up to a multiple of 3.

iii) My card is next to a card which is next to the 2 of hearts.

### Our Solution:

I was thinking of one of the five cards in the picture. You had to try to find out which one I was thinking of. It was the TWO OF HEARTS.

This is how to find out from the clues:

i) The value of my card is a prime number.

So it could have been 7C or 7D or 2H.

ii) The values of my two neighbours add up to a multiple of 3.

So it could have been 7D or 2H.

iii) My card is next to a card which is next to the 2 of hearts.

So it could only have been 2H.

This is how to find out from the clues:

i) The value of my card is a prime number.

So it could have been 7C or 7D or 2H.

ii) The values of my two neighbours add up to a multiple of 3.

So it could have been 7D or 2H.

iii) My card is next to a card which is next to the 2 of hearts.

So it could only have been 2H.

Puzzle Author: Stephen Froggatt

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