Alice and Belle are perfect logicians. Each of them is given a different fraction, of the form , where n is a positive integer. They only know their own number and they know it's a different fraction from the other. They need to tell whose number is larger. The following conversation occurs: Alice: "I don't know". Belle: "I don't know either." Alice: "I still don't know." Belle: “Now I know whose number is larger." Alice: “Now I know your number too." Who has the larger number? What is the difference of the denominators? (A) Alice. 1. (B) Alice. 2. (C) Belle. 1. (D) Belle. 2.

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Author:Erwin Kreyszig
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Alice and Belle are perfect logicians. Each of them is given a different
fraction, of the form , where n is a positive integer. They only know their own
number and they know it's a different fraction from the other. They need to
tell whose number is larger. The following conversation occurs:
Alice: "I don't know".
Belle: "I don't know either."
Alice: "I still don't know."
Belle: “Now I know whose number is larger."
Alice: "Now I know your number too."
Who has the larger number? What is the difference of the denominators?
(A) Alice. 1.
(B) Alice. 2.
(C) Belle. 1.
(D) Belle. 2.
Transcribed Image Text:Alice and Belle are perfect logicians. Each of them is given a different fraction, of the form , where n is a positive integer. They only know their own number and they know it's a different fraction from the other. They need to tell whose number is larger. The following conversation occurs: Alice: "I don't know". Belle: "I don't know either." Alice: "I still don't know." Belle: “Now I know whose number is larger." Alice: "Now I know your number too." Who has the larger number? What is the difference of the denominators? (A) Alice. 1. (B) Alice. 2. (C) Belle. 1. (D) Belle. 2.
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