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Minimum Value With Ratio (Posted on 2009-09-07) Difficulty: 3 of 5
Determine minimum value of P, such that for any arbitrary subset Sí consisting of precisely P distinct positive integers chosen from the set S = {1,2,3,4,.....,90, 91}, there exists two positive integers m and n each belonging to Sí, such that:

2/3 ≤ m/n ≤ 3/2

No Solution Yet Submitted by K Sengupta    
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  Subject Author Date
SolutionSame solution, but simpler (spoiler)Steve Herman2009-09-07 16:16:13
solution with proofDaniel2009-09-07 14:28:42
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