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OG Two points, N and Q

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AbeNeedsAnswers Master | Next Rank: 500 Posts Default Avatar
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OG Two points, N and Q

Post Thu Aug 24, 2017 8:33 pm
Elapsed Time: 00:00
  • Lap #[LAPCOUNT] ([LAPTIME])


    Two points, N and Q (not shown), lie to the right of point M on line ". What is the ratio of the length of QN to the length of MQ?

    (1) Twice the length of MN is 3 times the length of MQ.
    (2) Point Q is between points M and N.

    A

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    Marty Murray Legendary Member
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    Post Sat Sep 02, 2017 10:29 am
    Statement 1: Twice the length of MN is 3 times the length of MQ.

    We know from the question that both N and Q are to the right of M. So, the lengths of MN and MQ are both distances to the right of M.

    Translate the statement.

    2MN = 3MQ

    MN = 1.5MQ

    So, we know that N is further from M than Q is. Since both N and Q are to the right of M the sequence is M Q N.

    Since MN = 1.5MQ the distance between N and Q is .5MQ.

    So QN/MQ = .5

    Sufficient.

    Statement 2: Point Q is between points M and N.

    This statement give us no information about distances or relative distances.

    Insufficient.

    The correct answer is A.

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