SOLUTION: The hundred-handed monster Briareus was hungry and attacked a flock of 98 sheep. He didn't want to eat them all, so he developed a strange way to decide which ones to eat. With his
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Question 1172765: The hundred-handed monster Briareus was hungry and attacked a flock of 98 sheep. He didn't want to eat them all, so he developed a strange way to decide which ones to eat. With his hundred hands he lined the sheep up in front of him and attached tags labeling the sheep from 1 to 98, from left to right. First he crammed all the sheep into his mouth. Then he spat out all the even-numbered sheep. Then for every sheep with a number divisible by three, he stuffed it into his mouth if it was outside or spat it out if it was already inside. He did the same for every sheep with a number divisible by 4, 5, and so on up to 98. At the end, he devoured the sheep that were left in his mouth. How many sheep were left in the flock after Briareus left?
Answer by Solver92311(821) (Show Source): You can put this solution on YOUR website!
Perfect squares have an odd number of divisors and non-perfect squares have an even number of divisors. A sheep number that had an even number of divisors ended up outside. So he ate all of the perfect square numbered sheep.
John
My calculator said it, I believe it, that settles it
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