- #1
sorax123
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Three logical individuals, Amy, Bob and Carol, sit in a circle wearing Christmas hats. Each hat has a number on it so all three can see the others� numbers but not their own. They are told that the numbers are three different positive digits. They are each to make a statement in turn and are told to raise their hands when they know their own number.
Amy says: "Carol's number is greater than Bob's". No one raises their hand.
Bob then says: "The sum of Amy's and Carol's numbers is even.�
On hearing this, Carol raises her hand. Even then Amy and Bob do not raise theirs.
But, after a pause, and once it has become clear that Amy isn't going to raise her hand, Bob raises his and then Amy raises hers.
What are Amy's, Bob's and Carol's numbers?
A very interesting problem. I thought it would be good to post it on here to see what you guys think the answer is, and the assumptions made to get there.
Have fun :)
Amy says: "Carol's number is greater than Bob's". No one raises their hand.
Bob then says: "The sum of Amy's and Carol's numbers is even.�
On hearing this, Carol raises her hand. Even then Amy and Bob do not raise theirs.
But, after a pause, and once it has become clear that Amy isn't going to raise her hand, Bob raises his and then Amy raises hers.
What are Amy's, Bob's and Carol's numbers?
A very interesting problem. I thought it would be good to post it on here to see what you guys think the answer is, and the assumptions made to get there.
Have fun :)