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My question is, since All A being C is a certainty and not merely a possibility, does the conclusion hold true? (Because possibility is probably a subset of certainty??)
Absolutely. In order for something to be true, it has to be possible, and we know from the statements that all As are Cs. Imagine negating the conclusion--"It is not possible that all As are Cs." That can't be right.
However, this is pretty far afield from the GMAT. Does this relate to some trouble you've been having with the test?
I got a syllogism based very critical CR question in my official exam
Posted from my mobile device
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Interesting! Can you tell us more? Was it a normal-looking CR problem, where you solved it by thinking in terms of syllogisms? Or did it actually look like what was posted in this topic (with "statement 1," "statement 2," etc.?)