Message Board Basketball Forum - InsideHoops A riddle....again...
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 10-15-2012, 06:13 AM #1 iamgine ...     Join Date: Nov 2007 Posts: 13,596 A riddle....again... A riddle for those who cannot sleep... Ann is thinking of a number between ten and a thousand. Bob is trying to guess the number Bob: "Is it less than five hundred?" Ann answered, but she lied. Bob: "Is it a square number?" Ann lied again Bob: "Is it a cube number?" Ann answer truthfully this time Bob: "All right I got two answers, the number you are thinking of must be one of them" What is the number Ann was thinking of?
10-15-2012, 06:47 AM   #2
raiderfan19
Shazam!

Join Date: Jun 2006
Posts: 4,940
Re: A riddle....again...

Quote:
 Originally Posted by iamgine A riddle for those who cannot sleep... Ann is thinking of a number between ten and a thousand. Bob is trying to guess the number Bob: "Is it less than five hundred?" Ann answered, but she lied. Bob: "Is it a square number?" Ann lied again Bob: "Is it a cube number?" Ann answer truthfully this time Bob: "All right I got two answers, the number you are thinking of must be one of them" What is the number Ann was thinking of?
Does he know she lied?

 10-15-2012, 07:02 AM #3 Real Men Wear Green Please clap.     Join Date: Jun 2006 Location: Boston, MA Posts: 23,052 Re: A riddle....again... All we know is she lied twice and told the truth once. How do we figure it out with only that? No possibilities have been eliminated,
 10-15-2012, 07:02 AM #4 fpliii sahelanthropus     Join Date: Mar 2012 Posts: 10,043 Re: A riddle....again... my solution's in white, highlight if interested (should be right) 3 statements 1) numbers n 10≤n<500: 490 (501 otherwise) 2) squares s 10≤s≤1000: 28 (963 otherwise) 3) cubes c 10≤c≤1000: 8 (983 otherwise) 8 possibilities: ttt, ttf, tft, tff, ftt, ftf, fft, fff ttt: 490 (1) --> 19 (2) --> 1 (3) [64 only possibility] ttf: 490 (1) --> 19 (2) --> 18 (3) tft: 490 (1) --> 471 (2) --> 5 (3) tff: 490 (1) --> 471 (2) --> 24 (3) ftt: 501 (1) --> 9 (2) --> 1 (3) [729 only possibility] ftf: 501 (1) --> 9 (2) --> 8 (3) fft: 501 (1) --> 492 (2) --> 2 (3) [512, 1000 only possibilities] fff: 501 (1) --> 492 (2) --> 490 (3) since he said there are two answers, that means she told him FFT (i.e. <500, not a square, is a cube), so he's uncertain as to whether it is 512 or 1000; since the first two are lies, that means it's actually TTT, which only has 64 as a possibility thanks for the entertainment OP
10-15-2012, 08:34 AM   #5
iamgine
...

Join Date: Nov 2007
Posts: 13,596
Re: A riddle....again...

Quote:
 Originally Posted by fpliii my solution's in white, highlight if interested (should be right) thanks for the entertainment OP
This is correct

 10-15-2012, 08:50 AM #6 NotYetGreat Great college starter     Join Date: May 2009 Posts: 3,450 Re: A riddle....again... You should post more of these riddles. I wanna put my new mathematical/logic skill set (which still kinda sucks) to practice. Curse you, fpliii, for answering so quickly though.
 10-15-2012, 09:50 AM #7 MasterDurant24 National High School Star     Join Date: Nov 2007 Posts: 1,971 Re: A riddle....again... Is it 729?
 10-15-2012, 09:57 AM #8 Bucket_Nakedz Buckle up     Join Date: Jan 2011 Location: Anchorage, AK Posts: 2,739 Re: A riddle....again... 69
 10-15-2012, 12:03 PM #9 InfiniteBaskets Decent college freshman     Join Date: Jun 2007 Posts: 2,777 Re: A riddle....again... These puzzles are too challenging for people like me who never took a college level logic course
 10-15-2012, 01:36 PM #10 REACTION HYRYSICPT?     Join Date: Dec 2011 Posts: 596 Re: A riddle....again... Are you going to finish your other one?
10-15-2012, 02:16 PM   #11
Patrick Chewing
O.G. Shot Caller

Join Date: Aug 2010
Location: Where the Slime Live
Posts: 17,691
Re: A riddle....again...

Quote:
 Originally Posted by iamgine A riddle for those who cannot sleep... Ann is thinking of a number between ten and a thousand. Bob is trying to guess the number Bob: "Is it less than five hundred?" Ann answered, but she lied. Bob: "Is it a square number?" Ann lied again Bob: "Is it a cube number?" Ann answer truthfully this time Bob: "All right I got two answers, the number you are thinking of must be one of them" What is the number Ann was thinking of?

Aren't we missing the Yes or No answers Ann gave to Bob here??

10-15-2012, 02:26 PM   #12
sunsfan1357
Word.

Join Date: Nov 2006
Location: Manteca/San Diego
Posts: 4,116
Re: A riddle....again...

Quote:
 Originally Posted by fpliii my solution's in white, highlight if interested (should be right) thanks for the entertainment OP
I understood nothing of this post

One day I shall learn...

10-15-2012, 02:35 PM   #13
Jasi
Quality?

Join Date: Feb 2008
Location: Where the Rooster first crowed
Posts: 6,416
Re: A riddle....again...

Quote:
 Originally Posted by Patrick Chewing Aren't we missing the Yes or No answers Ann gave to Bob here??
Lol, it wouldnt even be a riddle if you knew them

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