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2002 AMC 10BProblem 7P1-10~2 minPrint
Fractions & DecimalsDivisibility & FactorsUse the answer choices (mod checks, size, form) to eliminate or selectBound the quantity above/below or estimate to pin it down

Let nn be a positive integer such that 12+13+17+1n\frac 12 + \frac 13 + \frac 17 + \frac 1n is an integer. Which of the following statements is not true:

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Problem © Mathematical Association of America (MAA), American Mathematics Competitions. Reproduced for non-commercial educational use. Solution and commentary are original to this site. Also appeared as 2002 12B #4.