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Three Coin Consideration (Posted on 2023-03-03) Difficulty: 3 of 5
• Jason is 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).
• Jason has precisely one of each of the three types of coin in his pocket.

A) If Jason randomly selects one coin, it will either be red, a circle, or the 5 unit coin.
B) If he randomly selects 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.

Determine the color, shape, and value of each coin.

See The Solution Submitted by K Sengupta    
Rating: 5.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Solution Solution | Comment 1 of 5
The descriptions of the potential first and second coins are a sort of skew symmetry.  So I'll add a third one to finish the symmetry that says the last coin is either green, square, or 15 units.

Now I'll take these three rules and line them up so that the columns don't have any repeated/conflicting descriptions.  There are two ways to do this:

 red,      circle,  5 unit
triangle, 10 unit, blue
15 unit, green, square
red, circle, 5 unit
10 unit, blue, triangle
square, 15 unit, green
Then reading the columns there are two ways to describe the three coins:
Coin A = 15 unit red triangle, Coin B = 10 unit green circle, and Coin C = 5 unit blue square
Coin A = 10 unit red square, Coin B = 15 unit blue circle, and Coin C = 5 unit green triangle.

Now the last clue comes into play.  Only the first of the two results have the triangular coin have a larger value than the square coin.  Thus the three coins consist of a 15 unit red triangle, a 10 unit green circle, and a 5 unit blue square.

Edited on March 3, 2023, 10:47 pm
  Posted by Brian Smith on 2023-03-03 12:42:23

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