It is internally consistent if statements 1 and 5 are true. All other statements except #8 are false. Statement 8 is indeterminate but the puzzle does not prohibit this.
So 1 is correct, 2 is false, 4 is false, 7 is false, 8 is false, 11 is true, 3 and 6 have to be false because they are dependent upon the other and don't work together. 5 is correct, 9 is false, 10 and 12 are false, but 11 is correct.
16 comments:
Okay, this one is hard to unravel...
# 11 is grammatically incorrect. The subject (1 statement (of many)) is singular and should therefore be accompanied by a singular verb.
It is internally consistent if statements 1 and 5 are true. All other statements except #8 are false. Statement 8 is indeterminate but the puzzle does not prohibit this.
1,3,4,6,7,9 are true.
2,5,8,10,11,12 are false.
yeeeeeeeee
1,2,3,6,9,11 T is another possible solution. There is no right answer. Just many logically inconsistent ones.
1,2,3,6,9,11 is not a possible solution since there is a contradiction: 2 is true but out of the last three statements, only two are true.
1,3,4,6,7,9 cannot all be true - 9 says that Exactly 3 of the first 6 statements are true, so 1,3,4, and 6 cannot all be true.
1st statement is true
1, 5, 6, 9, 11?
Only the first statement is true.
I'm pretty sure it's 1, 5, 6, 9 and 11 that are true.
So 1 is correct, 2 is false, 4 is false, 7 is false, 8 is false, 11 is true, 3 and 6 have to be false because they are dependent upon the other and don't work together. 5 is correct, 9 is false, 10 and 12 are false, but 11 is correct.
@darby: That's inconsistent. If 11 is true then 7,8,9 can't be all false.
1 3 4 6 7 11 are all true
I got 1, 5, 6, 9, and 11 as true also.
1,3,4,6,7,11 are the only correct statements. :crosschecked.
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