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OG A, B, C, and D are points on a line.

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AbeNeedsAnswers Master | Next Rank: 500 Posts Default Avatar
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OG A, B, C, and D are points on a line.

Post Thu Aug 24, 2017 8:29 pm
Elapsed Time: 00:00
  • Lap #[LAPCOUNT] ([LAPTIME])
    A, B, C, and D are points on a line. If C is the midpoint of line segment AB and if D is the midpoint of line segment CB, is the length of line segment DB greater than 5?

    1) The length of line segment AC is greater than 8
    2) The length of line segment CD is greater than 6

    B

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    Post Tue Sep 05, 2017 10:33 am
    Hi AbeNeedsAnswers,

    We're told that A, B, C, and D are points on a line, C is the midpoint of line segment AB and D is the midpoint of line segment CB. We're asked if the length of line segment DB is greater than 5. This is a YES/NO question.

    You might find it useful to draw a picture (and it would likely help you to make the algebraic 'deductions' that are needed to answer this question).

    < - - A - - - - - C - - D - - B - - >

    In the above example, C is the midpoint of AB and D is the midpoint of CB, so...
    AC = CB = X
    CD = DB = Y
    X = 2Y

    The question essentially asks if Y is greater than 5.

    1) The length of line segment AC is greater than 8

    With Fact 1, we know that X is greater than 8. This means that Y is greater than 4.
    IF... Y = 6, then the answer to the question is YES.
    IF... Y = 5, then the answer to the question is NO.
    Fact 1 is INSUFFICIENT

    2) The length of line segment CD is greater than 6

    With Fact 2, we know that Y is greater than 6. Thus, the answer to the question is ALWAYS YES.
    Fact 2 is SUFFICIENT

    Final Answer: B

    GMAT assassins aren't born, they're made,
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