Group Games Questions - - Question 18

If the chairperson of the committee is to be a homeowner, which one of the following must be true?

Kostey80 September 17, 2019

Why B is Incorrect compare to A

So I am a little bit confused why A not B B)G>K>F(Just one place left) so if we have to chose F>Q so Just one variable And the rule said that if you select G>R, so It will be correct We have just one spot left and it will be R What am I missing

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Irina September 17, 2019

@Kostey80,

If the chairperson is a homeowner, it means exactly two representatives are selected from homeowners - P Q R S and 3 representatives from tenants - F G J K.

Let's compare (A) and (B)

(A) If G is selected, Q is also selected.

We know that if G is selected, K must also be selected. We cannot select J & M because both of them must be selected and we have only one tenant spot left, thus F must be selected.
G K F are all the tenants that must be selected.

The rules then tell us that if F is selected, Q must also be selected. Thus, at least one of the homeowners must be Q per answer choice A.

(B) If G is selected, R is also selected

We can use the same inferences to establish that:

G K F must be selected from the tenants and
Q must be selected from homeowners

The other homeowner could be any of P/ R/S, since either of them could be selected, we cannot say that R must always be selected in this scenario. I think you might have misconstrued the answer choice saying if G -> R as a rule, while it is a must be true inference, not a rule. Can we conclude that every time we pick G and the chairperson is a homeowner, R will also be picked? No, because it is also possible to pick R S or P along with Q, hence (B) is incorrect.

Let me know if you have any further questions.

Kostey80 September 17, 2019

Oh ok now I got it "I think you might have misconstrued the answer choice saying if G -> R as a rule, while it is a must be true inference, not a rule"

Thanks for your help