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Tough Puzzles & Brain Teasers
Puzzles on logic and mathematics that will make you scratch your head.
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Kunal Gokhe
Kunal Gokhe
Mechanical
08 Feb 2019

Five Card 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.

2mos ago

You don’t have to hit one with a club to solve this.  Clue 2 is not needed.

2mos ago

The interesting thing is that clue one can be left out. Still the same solution comes up.

Kunal Gokhe
Kunal Gokhe
Mechanical
2mos ago

@Ramani Aswath 

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.

2mos ago

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

Unless this is a circular statement saying that my card is next to my neighbour, the only prime number next to the card next to 2H is 7C, thee other being 4H, which is not a prime.


2mos ago

My mistake.

I missed out on this.

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

You are right.