Thread: A riddle....again... View Single Post
 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