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A Dangerous Castle Indeed

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A castle has n rooms in each of which there are 7 samurai. Their total number 7n leaves remainders of 9 and 15 when divided by 25 and 36 respectively. Find the least possible value for n.

Edo, Japan, 1603-1867

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"A Dangerous Castle Indeed," Loci (April 2008)

Dummy View - NOT TO BE DELETED