Today is 4 December 2013, the 338th day of the year.
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			There are many forms of the classic liars problem – this is a favorite of ours here at Platonic Realms. Suppose you meet seven brothers, James, John, Jack, Jerry, Joe, Jarred, and Jeff: James says, "Exactly one of us is lying." John says, "Exactly two of us are lying." Jack says, "Exactly three of us are lying." Jerry says, "Exactly four of us are lying." Joe says, "Exactly five of us are lying." Jarred says, "Exactly six of us are lying." Jeff says, "Exactly seven of us are lying." Today's challenge: Which of the brothers are lying, and which are telling the truth? (Bonus challenge: What difference would it make if they left out the word "exactly?") HINT Solution to yesterday's challenge THE MATH STORE LIVES! At last, the new Math Store is open, including all the downloads we have offered in the past. Please come poke around the shop and let us know what you think! NEW FOR 2012: Platonic Realms is at last being rewritten and moved to a new server. Please check back soon to see the new look, new content (together with all your old favorites), and an all new math store! This site is registered with the Internet Content Rating Association (ICRA), and is suitable for all ages. Because we value freedom of expression on the internet as well as the privacy and comfort of our visitors, Platonic Realms is also bug-free and blink-free. Platonic Realms uses cookies for site-traffic analysis, but these automatically expire soon after your visit. Our privacy policy is very simple: we ALWAYS ask our visitors before collecting any personal information, and we NEVER share information about our visitors with anyone else. Period.

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