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 Adam Tyson
PowerScore Staff
  • PowerScore Staff
  • Posts: 5153
  • Joined: Apr 14, 2011
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#39480
You are correct with your first diagram, salmach - if you are a member, you can get the coupon. Your second diagram is pretty good, too, though slightly flawed - if you are a member that rented MORE than 10 (10 is not enough), you go to the last place you rented.

Your last diagram goes off the rails. If you cannot get it from the last place you rented, then you are not a member who rented more than 10 videos - that's the contrapositive of the previous rule. That doesn't mean you can get the coupon elsewhere, like Main Street, because perhaps some people (non-members, maybe) can't get it at all.

Finally, you're missing the last rule: if you are a member who rented 10 or fewer (not more than 10), you must get it from Main Street or not at all. Main Street is your only option.

The correct answer has nothing to do with rules for different locations, because there ARE no such rules. The rules are about members and how many videos they've rented. Pat has not met the sufficient condition in the first rule (more than 10), so it simply doesn't apply to her, and she hasn't met the necessary condition of the second rule, triggering the contrapositive of that rule and proving she is not a member who rented 10 or fewer videos. We now know that she cannot be a member, but since she can still get the coupon, it must be that some non-members (at least Pat) can get it. That's answer D!

Be careful in your reading and meticulous with your diagrams to avoid confusion and mistakes, and don't make assumptions that are superfluous to the argument (like different rules for different locations). Be careful, and good luck!

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