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wu :: forums    riddles    putnam exam (pure math) (Moderators: SMQ, william wu, Icarus, Grimbal, towr, Eigenray)    University Interview Questions « Previous topic | Next topic » Pages: 1  Reply Notify of replies Send Topic Print    Author  Topic: University Interview Questions  (Read 667 times) ThudnBlunder Uberpuzzler The dewdrop slides into the shining Sea     Gender: Posts: 4489 University Interview Questions   « on: Jan 18th, 2005, 7:36am » Quote Modify Three brilliant students go for separate interviews with a university admissions officer, a number theorist. He chooses 4 whole numbers greater than 1 and tells the 1st student their product. The student tells him the 4 numbers. He tells the 2nd student the sum of the squares of the 4 numbers and she duly tells  him the 4 numbers. 'Too easy', he thinks. So he tells the 3rd student the product of the 3 smallest numbers plus twice the square of the largest number. The student was unable to tell him the 4 numbers.     What 4 numbers did he choose?     « Last Edit: Jan 19th, 2005, 12:09am by ThudnBlunder » IP Logged THE MEEK SHALL INHERIT THE EARTH.....................................................................er, if that's all right with the rest of you. Icarus wu::riddles Moderator Uberpuzzler Boldly going where even angels fear to tread.     Gender: Posts: 4863 Re: University Interview Questions   « Reply #1 on: Jan 18th, 2005, 4:27pm » Quote Modify Were the students given that the 4 numbers were distinct, or did they have to consider the possibility of 2 or more of the numbers being the same? IP Logged "Pi goes on and on and on ... And e is just as cursed. I wonder: Which is larger When their digits are reversed? " - Anonymous ThudnBlunder Uberpuzzler The dewdrop slides into the shining Sea     Gender: Posts: 4489 Re: University Interview Questions   « Reply #2 on: Jan 18th, 2005, 11:46pm » Quote Modify on Jan 18th, 2005, 4:27pm, Icarus wrote: Were the students given that the 4 numbers were distinct...? Not in the version I have. IP Logged THE MEEK SHALL INHERIT THE EARTH.....................................................................er, if that's all right with the rest of you. Eigenray wu::riddles Moderator Uberpuzzler     Gender: Posts: 1948 Re: University Interview Questions   « Reply #3 on: Jan 19th, 2005, 6:36am » Quote Modify ::2,3,3,5::? 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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