Three expert logicians played a game with a set of 11 cards each with a different...

 

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Three expert logicians played a game with a set of 11 cards each with a different two-digit prime number below 50. Each drew a card and held it up so that they could only see the number on their own card but could not see the other numbers. Ali, Bobby and Charlie in turn were then asked two questions, namely "Is your number the smallest of the three?" and "Is your number the largest of the three?". In the first round all three answered "Don't know" to both questions. The same happened in rounds two and three. In round 4 Ali answered "No" to the first question. What numbers did each logician have? Three expert logicians played a game with a set of 11 cards each with a different two-digit prime number below 50. Each drew a card and held it up so that they could only see the number on their own card but could not see the other numbers. Ali, Bobby and Charlie in turn were then asked two questions, namely "Is your number the smallest of the three?" and "Is your number the largest of the three?". In the first round all three answered "Don't know" to both questions. The same happened in rounds two and three. In round 4 Ali answered "No" to the first question. What numbers did each logician have?

Answer rating: 100% (QA)

Solution Two digit prime number upto 5o 11 13 17 19 23 29 3131414347 These are to... View the full answer