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Seven thieves try to share a hoard of gold bars equally between themselves. Unfortunately, six bars...

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Advance Math

  1. Seven thieves try to share a hoard of gold bars equally betweenthemselves. Unfortunately, six bars are left over, and in the fightover them, one thief is killed. The remaining six thieves, stillunable to share (all) the bars equally since two are left over,again fight, and another is killed. When the remaining five share(all) the bars, one bar is left over, and it is only after yetanother thief is killed that an equal sharing is possible. What isthe minimum number of bars which allows this to happen? [Hint: Becarefully to check that the conditions for the Chinese RemainderTheorem apply before using it.]

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