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Puzzle – True/False test – answers

March 5, 2007 am31 7:24 am

This is the place to post your answers to the True/False test. For questions, go back to the test.

You can also post easier, harder, or even impossible variations here.

6 Comments leave one →
  1. March 5, 2007 pm31 3:49 pm 3:49 pm

    If #1 is true, then #2 is false, and #3 and #4 must be one of each (due to #1). However, neither of those work — in either case #4 is not satisfied. So #1 must be false, making #2 true, in which case #3 and #4 must be both false or both true. Since in either case there will be consecutive statements with the same answer, #4 must be false. Hence the correct (and unique) solution is F, T, F, F.

  2. March 5, 2007 pm31 6:48 pm 6:48 pm

    I started with # 3 as True.
    Solution is: F F T F

  3. JBL permalink
    March 5, 2007 pm31 10:58 pm 10:58 pm

    KG, that doesn’t work: if the answer to 2 is F, the answer to 1 must be T.

    I think it’s easiest to start with number 4: if 4 is T, we must have 3F, 2T, 1F, in which case the answer to 1 is wrong. Thus we have 4F.

    The we continue like Brent: if 1T, then 2F then (because 1T) 3T, but then the answer to 4 is wrong. Thus 1F, 2T and (because 1F) 3F.

  4. March 6, 2007 am31 9:48 am 9:48 am

    JBL, right :-S

  5. Lsquared permalink
    March 9, 2007 pm31 10:39 pm 10:39 pm

    I think there’s some ambiguity in the test. In #4 does “two consecutive statements have the same correct response” mean: _every_ two consecutive statements have the same correct response OR does it mean _there exist_ two consecutive statements have the same correct response. If it means the former, I believe TFFT also works.

  6. March 10, 2007 am31 4:19 am 4:19 am

    I don’t know about that. However, “It is false that there are at least two consecutive statements with the same response” is certainly unambiguous, even if no more clear (not a goal here!)

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