One Correct Answer

Logic Level 2

Statement A: Only statement A is correct

Statement B: Statement A or statement B is correct

Statement C: Statement B or statement C is correct

Only one of the above statements is true. Which one is it?

Cannot be determined Statement C Statement A Statement B

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Aman Baser by Aman Baser , 21, India

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1 solution

Eli Ross Staff
Sep 16, 2015

Remember, only one statement is correct. We'll eliminate choices on this basis. If statement A was correct, then statement B would also be true, so this cannot be the case.

If statement B was correct, then statement C would also true, so this cannot be the case.

If statement C was correct, then statements A and B would be false. Thus, statement C is the correct statement.

7 Helpful 0 Interesting 0 Brilliant 0 Confused

I'm not a fan of this one because it's not clear that "or" is exclusive. If "or" is inclusive (which is standard usage in mathematical logic) then B and C can both be true. But yes, if "or" is exclusive then only C is true.

Bill Wilcox - 5 years, 9 months ago

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This is actually not the case; in general (and here) "or" is inclusive. ("Xor" is the exclusive form.)

The reason "B" cannot be true is because if statement B were true, then statement "C" is true, since statement C is that statement B or C is true. That would give two true statements, but the problem says only 1 statement is true.

Eli Ross Staff - 5 years, 9 months ago

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Yes. I was considering the three statements by themselves without the proviso that only one of them was true.

Bill Wilcox - 5 years, 9 months ago

Nice answer :D

Hani Salah - 5 years, 9 months ago

Yaa, basically neither A nor B can be correct, because they are referred as possibly correct in 2 statements each.

Shib Shankar Sikder - 5 years, 9 months ago

in my opinion, this is the worst question i've encountered of this nature on this site. that may because i lack in the qualities i desire to possess from a philosophical/problem solving point of view, but it could also be that the question lacked...

Ian Kesson - 4 years, 5 months ago

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