Brain Teasers
Psychic Card Guess
Abe, Bea, and Cal deal three aces face down on a table and guess at the suit of each card in turn. Each of the three aces is correctly identified by at least one person. Nobody gets exactly one right answer, however, and no two persons finish with the same number of correct answers. What are the three cards?
Guesses:
Abe: 1. Heart 2. Spade 3. Club
Bea: 1. Heart 2. Diamond 3. Club
Cal: 1. Diamond 2. Spade 3. Heart
Guesses:
Abe: 1. Heart 2. Spade 3. Club
Bea: 1. Heart 2. Diamond 3. Club
Cal: 1. Diamond 2. Spade 3. Heart
Answer
The cards are:1. Heart 2. Diamond 3. Club
Since nobody guesses just one card correctly and no two people guess the same number of cards correctly, then the number guessed correctly by the three people must be zero, two, and three cards. Since Abe and Bea have two similar guesses, card 1 must be Hearts and card 3 must be clubs. This means that Cal must be wrong on all counts, which means that card 2 must be a Diamond.
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