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Two logicians (A and B) each pick a whole number from 1 to 30 inclusive. The following conversation happens:.........

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Two logicians (A and B) each pick a whole number from 1 to 30 inclusive. The following conversation happens:

A: “Is your number double mine?”

B: “I don’t know. Is your number double mine?”

A: “I don’t know. Is your number half mine?”

B: “I don’t know. Is your number half mine?”

A: “I don’t know.”

B: “I know your number.”

All the statements are true. What is A’s number and how did B know?

posted Nov 23, 2023 by Rahul Vaidya

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There is a one person who have two numbers, he tells sum to the person A and product of those numbers to B.

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A: I don't know what are the numbers.

B: I also don't know what are the numbers.

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