If Gunsel and five other applicants are the only applicants interviewed, and if exactly three applicants are hired, t...

Angel92 on April 26, 2022

Need help breaking down this question

If Gunsel and five other applicants are the only applicants interviewed, and if exactly three applicants are hired, then which one of the following could be an accurate list of the applicants hired? I can't find the answer to what im looking for because I'm having trouble understanding this question. Am I interpreting this question correctly? Interviewed: G + _ _ _ _ _ , in other words G plus five others MUST be interviewed and then from those five that are interviewed EXACTLY 3 must be hired. I'm trying to figure out how I can get to E. But then again, this a could be true question so I don't have to depend strictly on the rules in this case?Please correct me if im wrong. This question took me an hour to figure out. ;(

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Emil-Kunkin on May 5, 2022

Hi Angel92,

You are interpreting this correctly, we have six interviews, three hired, and one person who is not interviewed.

I: _ _ _ _ _ _
H: _ _ _
Not interviewed: _

We know that F is always interviewed, and that G is interviewed- and that if G then J, and if J then L, so all four of F, G, J, and L must be interviewed.

I: G, J, F L _ _
H: _ _ _
Not interviewed: _

So two of the three of K, M, O must be interviewed. Our final rule tells us that if M is hired, and L is interviewed (and L is in fact interviewed) then O must be hired. This means we can eliminate any answer with M but not O, which includes A, B, and D.

We can eliminate C because if K is hired, then m must have been interviewed, which would mean our six interviews would be G, J, F L, K, M. However, C also includes
O which would have to be not interviewed as there are only six allowed.

Angel92 on May 7, 2022

Thank you!! This helps a lot!