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wu :: forums    riddles    medium (Moderators: Icarus, Grimbal, SMQ, ThudnBlunder, towr, Eigenray, william wu)    Exact batting average 80% « Previous topic | Next topic » Pages: 1  Reply Notify of replies Send Topic Print    Author  Topic: Exact batting average 80%  (Read 2544 times) gkwal Newbie     Posts: 25 Exact batting average 80%   « on: May 3rd, 2007, 11:33am » Quote Modify At some point during a baseball season, a player has a batting average of less than 80%.  Later during the season, his average exceeds 80%.  Prove that at some point, his batting average was exactly 80%. IP Logged Obob Senior Riddler     Gender: Posts: 489 Re: Exact batting average 80%   « Reply #1 on: May 3rd, 2007, 12:10pm » Quote Modify This is the first problem on the 2004 Putnam exam. IP Logged Archae Junior Member     Posts: 111 Re: Exact batting average 80%   « Reply #2 on: May 3rd, 2007, 1:46pm » Quote Modify Furthermore, if the same situation exists and the inverse of the batting average (= 100% - [the batting average]) can be represented as a fraction of 1 over another integer, then at some point, the player's average was exactly the given percentage IP Logged Pages: 1  Reply Notify of replies Send Topic Print Forum Jump: ----------------------------- riddles -----------------------------  - easy => medium   - hard   - what am i   - what happened   - microsoft   - cs   - putnam exam (pure math)   - suggestions, help, and FAQ   - general problem-solving / chatting / whatever ----------------------------- general -----------------------------  - guestbook   - truth   - complex analysis   - wanted   - psychology   - chinese « Previous topic | Next topic »

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