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 iamgine 10-15-2012 06:13 AM

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?"

Bob: "Is it a square number?"
Ann lied again

Bob: "Is it a cube number?"

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?

 raiderfan19 10-15-2012 06:47 AM

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?

 Real Men Wear Green 10-15-2012 07:02 AM

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,

 fpliii 10-15-2012 07:02 AM

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

 iamgine 10-15-2012 08:34 AM

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 :applause:

 NotYetGreat 10-15-2012 08:50 AM

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. :oldlol:

 MasterDurant24 10-15-2012 09:50 AM

Re: A riddle....again...

Is it 729?

 Bucket_Nakedz 10-15-2012 09:57 AM

Re: A riddle....again...

69

Re: A riddle....again...

These puzzles are too challenging for people like me who never took a college level logic course :(

 REACTION 10-15-2012 01:36 PM

Re: A riddle....again...

Are you going to finish your other one?

 Patrick Chewing 10-15-2012 02:16 PM

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??

 sunsfan1357 10-15-2012 02:26 PM

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 :oldlol:

One day I shall learn...

 Jasi 10-15-2012 02:35 PM

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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