• 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
  • PrepScholar GMAT
    5 Day FREE Trial
    Study Smarter, Not Harder

    Available with Beat the GMAT members only code

    MORE DETAILS
    PrepScholar GMAT
  • Veritas Prep
    Free Veritas GMAT Class
    Experience Lesson 1 Live Free

    Available with Beat the GMAT members only code

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

    Available with Beat the GMAT members only code

    MORE DETAILS
    EMPOWERgmat Slider
  • 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
  • Magoosh
    Magoosh
    Study with Magoosh GMAT prep

    Available with Beat the GMAT members only code

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

    Available with Beat the GMAT members only code

    MORE DETAILS
    Economist 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

If a and b are positive integers

This topic has 2 expert replies and 1 member reply
canbtg Senior | Next Rank: 100 Posts Default Avatar
Joined
11 Oct 2013
Posted:
46 messages
Thanked:
4 times

If a and b are positive integers

Post Mon Jun 29, 2015 3:48 am
Elapsed Time: 00:00
  • Lap #[LAPCOUNT] ([LAPTIME])
    If a and b are positive integers is a/b < 9/11?

    A)a/b < 0.818

    B)b/a > 1.223

    oa

    D

    Need free GMAT or MBA advice from an expert? Register for Beat The GMAT now and post your question in these forums!
    theCEO Master | Next Rank: 500 Posts Default Avatar
    Joined
    17 Oct 2010
    Posted:
    363 messages
    Followed by:
    3 members
    Thanked:
    115 times
    Post Mon Jun 29, 2015 4:03 am
    canbtg wrote:
    If a and b are positive integers is a/b < 9/11?

    A)a/b < 0.818

    B)b/a > 1.223

    oa

    D
    9/11 = 0.818181...

    1)
    if a/b < 0.818, a/b will always be less tan 0.818181... Statement is sufficent

    2)
    b/a > 1.223
    a/b < 1/1.223 = 0.8177
    If a/b < 0.8177,a/b will always be less tan 0.818... statement is sufficent

    answer = d

    Post Mon Jun 29, 2015 4:15 am
    canbtg wrote:
    If a and b are positive integers is a/b < 9/11?

    A)a/b < 0.818

    B)b/a > 1.223
    Is a/b < 9/11?

    9/11 = 0.8181...

    Questions stem rephrased:
    Is a/b < 0.8181?

    Statement 1: a/b < 0.818
    Since 0.818 < 0.8181, we get:
    a/b < 0.818 < 0.8181
    a/b < 0.8181.
    SUFFICIENT.

    Is a/b < 9/11?

    Cross-multiplying, we get:
    11a < 9b
    11/9 < b/a
    b/a > 11/9.

    11/9 = 1.2222...

    Question stem, rephrased:
    Is b/a > 1.2222?

    Statement 2: b/a > 1.223
    Since 1.223 > 1.2222, we get:
    b/a > 1.223 > 1.2222
    b/a > 1.2222.
    SUFFICIENT.

    The correct answer is D.

    _________________
    Mitch Hunt
    GMAT Private Tutor
    GMATGuruNY@gmail.com
    If you find one of my posts helpful, please take a moment to click on the "Thank" icon.
    Available for tutoring in NYC and long-distance.
    For more information, please email me at GMATGuruNY@gmail.com.

    Free GMAT Practice Test How can you improve your test score if you don't know your baseline score? Take a free online practice exam. Get started on achieving your dream score today! Sign up now.

    GMAT/MBA Expert

    Post Mon Jun 29, 2015 4:12 pm
    If we remember some of our common fractional to decimal conversions, we can use the fact that

    1/11 = .09090909...

    to determine that

    9/11 = 9 * (1/11) = .81818181...

    Since a/b < .818 < .81818181 = 9/11, we have a/b < 9/11, and S1 is sufficient.

    We can use similar conversions for the second step. a/b < 9/11 if b/a > 11/9.

    1/9 = .1111...., so 11/9 = 11 * (.1111...) = 1.222...

    b/a > 1/223 > 1/222... = 11/9, so again this is sufficient.

    Enroll in a Veritas Prep GMAT class completely for FREE. Wondering if a GMAT course is right for you? Attend the first class session of an actual GMAT course, either in-person or live online, and see for yourself why so many students choose to work with Veritas Prep. Find a class now!

    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