Logical Reasoning

PT134 · S1 · Q20 Members of the VideoKing

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Members of the VideoKing Frequent Viewers club can now receive a special discount coupon.

Given

Members of the VideoKing MC + 10+ → LR Frequent Viewers club can now receive a special discount coupon.

Members of the club who MC + ~10+ → MS have rented more than ten videos in the past month can receive the discount coupon only at the VideoKing location from which the member last rented a movie.

Members of the Frequent ~10+ + ~MS Viewers club who have not rented more than ten videos in the past month can receive the coupon only at the Main Street location.

Pat, who has not rented more than ten videos in the past month, can receive the special discount coupon at the Walnut Lane location of VideoKing.

20.

If all of the statements above are true, which one of the following must be true?

  1. The only people who can

    Reversal

    This reverses the MS → MC + ~10+ third statement.

    4% picked this

  2. Some members of the Frequent

    Unsupported

    The statements show that some people who have not rented more than ten videos are not members of the Frequent Viewers club, but that does not mean that some people.

    15% picked this

  3. Some members of the Frequent

    Contradiction

    The statements indicate that no member of the club can receive the discount coupon at more than one location.

    17% picked this

  4. Correct

    Some people who are not

    Why this is right

    Pat can receive the ~MS special discount code at a location other than Main Street. The contrapositive of ~MS → ~MC or 10+ the second statement implies that Pat is not a member of the club or has rented more than ten videos in the past month. Pat did not rent more ~10+ than ten videos in the past month. It follows that Pat is ~MC not a member of the Frequent Viewers club.

    Skill tested: Must be True · how this choice captures the argument's function is the move to repeat next time.

    60% picked this

  5. If Pat rents a movie

    Unsupported

    The statements imply that Pat is not a member of the Frequent Viewers club. While they may only be able to receive the discount coupon at one location, people who are not members of the club may be able to receive the discount coupon in more than one location.

    3% picked this

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