• Kaplan Test Prep
    Free Practice Test & Review
    How would you score if you took the GMAT

    Available with Beat the GMAT members only code

    MORE DETAILS
    Kaplan Test Prep
  • PrepScholar GMAT
    5 Day FREE Trial
    Study Smarter, Not Harder

    Available with Beat the GMAT members only code

    MORE DETAILS
    PrepScholar GMAT
  • EMPOWERgmat Slider
    1 Hour Free
    BEAT THE GMAT EXCLUSIVE

    Available with Beat the GMAT members only code

    MORE DETAILS
    EMPOWERgmat Slider
  • Economist Test Prep
    Free Trial & Practice Exam
    BEAT THE GMAT EXCLUSIVE

    Available with Beat the GMAT members only code

    MORE DETAILS
    Economist Test Prep
  • Magoosh
    Magoosh
    Study with Magoosh GMAT prep

    Available with Beat the GMAT members only code

    MORE DETAILS
    Magoosh
  • Varsity Tutors
    Award-winning private GMAT tutoring
    Register now and save up to $200

    Available with Beat the GMAT members only code

    MORE DETAILS
    Varsity Tutors
  • Target Test Prep
    5-Day Free Trial
    5-day free, full-access trial TTP Quant

    Available with Beat the GMAT members only code

    MORE DETAILS
    Target Test Prep
  • e-gmat Exclusive Offer
    Get 300+ Practice Questions
    25 Video lessons and 6 Webinars for FREE

    Available with Beat the GMAT members only code

    MORE DETAILS
    e-gmat Exclusive Offer
  • Veritas Prep
    Free Veritas GMAT Class
    Experience Lesson 1 Live Free

    Available with Beat the GMAT members only code

    MORE DETAILS
    Veritas Prep

If p and q are positive integers, is p > q?

This topic has 1 expert reply and 0 member replies

If p and q are positive integers, is p > q?

Post Tue Sep 12, 2017 10:39 am
Elapsed Time: 00:00
  • Lap #[LAPCOUNT] ([LAPTIME])
    If p and q are positive integers, is p > q?

    (1) 4p + 5q = 87
    (2) p^3 < 40q

    OA is C.

    Is any of the statements sufficient?

    Need free GMAT or MBA advice from an expert? Register for Beat The GMAT now and post your question in these forums!
    Post Sun Sep 17, 2017 10:20 am
    Hi Vincen,

    We're told that P and Q are POSITIVE INTEGERS. We're asked if P is greater than Q. This is a YES/NO question. This question can be solved by TESTing VALUES.

    1) 4P + 5Q = 87

    While this equation might look a bit difficult to deal with, the fact that P and Q must be POSITIVE INTEGERS significantly limits the possible solutions. With a bit of 'brute force' you can find the first two solutions (and then spot a pattern that will help you to find the other two solutions).

    IF....
    P = 3, Q = 15 then the answer to the question is NO
    P = 8, Q = 11 then the answer to the question is NO

    At this point, you should notice that you had to increase P by 5 to find the second solution. If you try that again, you'll find the 3rd and 4th solutions:

    P = 13, Q = 7 then the answer to the question is YES
    P = 18, Q = 3 then the answer to the question is YES
    Fact 1 is INSUFFICIENT

    2) P^3 < 40Q

    Only one of the solutions above 'fits' Fact 2: P = 3, Q = 15 and the answer to the question is NO

    IF...
    P = 2, Q = 1 then the answer to the question is YES.
    Fact 2 is INSUFFICIENT

    Combined, there's only one solution that 'fits' BOTH Facts: P = 3, Q = 15, so the answer to the question is ALWAYS NO.
    Combined, SUFFICIENT

    Final Answer: C

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

    _________________
    Contact Rich at Rich.C@empowergmat.com

    Thanked by: Vincen

    Best Conversation Starters

    1 Vincen 180 topics
    2 lheiannie07 61 topics
    3 Roland2rule 61 topics
    4 ardz24 40 topics
    5 VJesus12 14 topics
    See More Top Beat The GMAT Members...

    Most Active Experts

    1 image description Brent@GMATPrepNow

    GMAT Prep Now Teacher

    160 posts
    2 image description Rich.C@EMPOWERgma...

    EMPOWERgmat

    102 posts
    3 image description GMATGuruNY

    The Princeton Review Teacher

    99 posts
    4 image description Jay@ManhattanReview

    Manhattan Review

    86 posts
    5 image description Matt@VeritasPrep

    Veritas Prep

    80 posts
    See More Top Beat The GMAT Experts