### Brain Teasers

# Three Coins

You are travelling to an exotic country which has three types of coins. Each coin has a different value (5, 10, or 15 units), a different color (red, green, or blue), and a different shape (round, square, and triangular). You have one of each coin in your pocket.

a) If you randomly select one coin, it will either be red, a circle, or the 5 unit coin.

b) If you randomly select another coin, it will either be blue, a triangle, or the 10 unit coin.

c) The triangular coin is worth more than the square coin.

What is the color, shape, and value of each coin?

a) If you randomly select one coin, it will either be red, a circle, or the 5 unit coin.

b) If you randomly select another coin, it will either be blue, a triangle, or the 10 unit coin.

c) The triangular coin is worth more than the square coin.

What is the color, shape, and value of each coin?

### Answer

1) The 5 unit coin is blue and square.2) The 10 unit coin is green and round.

3) The 15 unit coin is red and triangular.

Here's how to solve it:

Statement "a" will tell you that the round coin is not red or the 5 unit coin. Statement "b" indicates that the triangular coin is not blue or the 10 unit coin. Statement "c" then tells you that the triangular coin has to be the 15 unit coin (since it can't be the 5 unit coin, either).

Now going back to statement "a", the round coin must be the 10 unit coin which makes the square coin the 5 unit coin. Also from statement "a" you can determine that the square coin is not red (since the 5 unit coin is not red), leaving the triangular coin to be red. From statement "b" you can determine that the square coin is blue, since the 10 unit coin (the round one) cannot be blue. This leaves the round coin to be green.

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