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 →
JD2718 
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.
I started with # 3 as True.
Solution is: F F T F
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.
JBL, right :-S
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.
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!)