The Hidden Number

Bar and Ilan each chose an integer between 1 and 30.

Ilan: Is your number double mine?

Bar: I don't know. Is your number double mine?

Ilan: I don't know. Is your number half of mine?

Bar: I don't know. Is your number half of mine?

Ilan: I don't know.

Bar: I know what your number is.

Difficulty level (1 very easy - 10 very hard): 3

Logic -> Reasoning / Logic Combinatorics -> Case Analysis / Checking Cases -> Processes / Procedures

Sources:

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