3077

[gmatalongthewatchtower]

#3077
Premise - At the dealership where Tim is buying a new car, red interior is the only color available on any red or any black painted car, and black interior is the only color available on any yellow painted car.

Assumption - Tim will not purchase a car with red interior.

Conclusion - Therefore, Tim will purchase a yellow painted car

OR

Conclusion - Therefore, Tim will not purchase a red or black painted car.

can someone please help me to diagram this?


Here's what I did: (I assumed that "the only" introduces a sufficient condition, as opposed to "only without the article "the" that introduces a necessary condition)

Is my understanding correct?

P1 if red or black => red interior

P2 if yellow car => black interior

A if purchase => no red interior

C if purchase => no red or black

Thanks

[timmydoeslsat]

I believe it is the case that you are given the premises and an assumption, and then you are to choose which one of the two conclusions follows logically.

This is what this problems appears to be, at least to me.

You are correct in your interpration of the premises, which would be:

red or black car ---> red interior

yellow car ---> black interior

We also are given that ~red interior

So we know for sure that ~red and ~black will be purchased.

We do not know that Tim will purchase a yellow car. He may purchase a green one or a blue one.