Thread: Silliness Quiz
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Old 03-01-2012, 06:17 AM   #5847
pdurrant
The Grand Mouse 高貴的老鼠
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Quote:
Originally Posted by Bilbo1967 View Post
I'll guess at (c), for no other reason than I don't think it can be (a), because if it is (a), then (b) must be true as well. After that I can't get the logic straight in my head between (b) and (c), so I will just guess at one of them.

(Getting out my bus timetable if I get to set the next question ).

I'm not sure that guesses count, but you're right.

The important thing is that only one of the answers is correct.

A can't be that one, because is A is correct then B is correct too.
B can't be that one, because if B is correct then C is correct too.

C is the only correct answer. A and B are not correct.

You can work it out using boolean logic. We know that only one is true.

Try A=TRUE, B=FALSE, C=FALSE. Substitute in and we get
A: TRUE
B: TRUE or FALSE = TRUE
C: FALSE or FALSE = FALSE
which is a contradiction, as we assumed B=FALSE and we find B=TRUE

Try A=FALSE, B=TRUE, C=FALSE.
A: FALSE
B: FALSE or TRUE = TRUE
C: TRUE or FALSE = TRUE
another contradiction, as we assumed C=FALSE and we find C=TRUE

Try A=FALSE, B=FALSE, C=TRUE:
A: FALSE
B: FALSE or FALSE = FALSE
C: FALSE or TRUE = TRUE
No contradictions, the right answer is C.

Over to you, Bilbo...
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