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Old 10-15-2012, 07:02 AM   #4
fpliii
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Default 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
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