Friday, July 31, 2009

Match ABC to 123

You need to match A, B and C to the numbers 1, 2 and 3.  But you are given some peculiar information by which to determine how to match them up.
  1. If A is not 1, then C is not 3.
  2. If B is either 2 or 1, then A is 3.
  3. If C is not 2, then A cannot be 3.
  4. If C is not 1, then A is not 3.
  5. If C is 3, then B is not 1 or 2.
  6. If B is 3, then A is not 2.
Can you match them up?


  1. I guess following is the answer:


  2. Correct. A is 1, B is 3, and C is 2. Given statements three and four, A cannot be 3, because it must be either not 1 or not 2. Given statement two, and that A cannot be 3, B must be 3. Given statement six, A must be one, because B is 3 and A is therefore not 3 or 2. That leaves 2 for C.

  3. A is first C is second and B is third! Simply a matter of narrowing down. Nothing a paper and pen can't solve, and a few minutes, ok a few more then a few minutes but I got the answer in the end! I think :)

  4. With only six possibilities, it should be fairly quick to write them down and eliminate them all (except for the true answer), right?

    Then why did it take me so long! ;-)

    You had it right: A-1, B-3, C-2

  5. so the first clue if A=1 then C cannot = 3 means that C=2 and B=3

    I think that it was a give away from the first response! :)

    Thanks a lot for posting


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