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Which of the following could be the greatest . . .

This topic has 1 expert reply and 0 member replies

Which of the following could be the greatest . . .

Post Fri Sep 29, 2017 6:48 pm
Elapsed Time: 00:00
  • Lap #[LAPCOUNT] ([LAPTIME])
    Which of the following could be the greatest common factor of positive integers a and b?

    I. 1
    II. a
    III. a-b

    A) II only
    B) I and II only
    C) I and III only
    D) II and III only
    E) I, II and III

    The OA is E.

    I don't know how can I solve this PS question. I need some help. Thanks.

    Need free GMAT or MBA advice from an expert? Register for Beat The GMAT now and post your question in these forums!
    Post Sat Sep 30, 2017 3:58 pm
    Hi Vincen,

    We're told that A and B are positive integers. We're asked which of the Roman Numerals COULD be the Greatest Common Factor of A and B. We can solve the problem by TESTing VALUES.

    I. 1

    IF A=1 and B=2, then the GCF = 1. Roman Numeral 1 COULD be true.
    Eliminate Answers A and D.

    II. A

    IF A=1 and B=2, then the GCF = 1 (so the GCF = A). Roman Numeral 2 COULD be true.
    Eliminate Answer C.

    III. A - B

    IF A=2 and B=1, then the GCF = 1 (so the GCF = A-B). Roman Numeral 3 COULD be true.
    Eliminate Answer B.

    Final Answer: E

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

    _________________
    Contact Rich at Rich.C@empowergmat.com

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