• 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
  • 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
  • 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
  • Veritas Prep
    Free Veritas GMAT Class
    Experience Lesson 1 Live Free

    Available with Beat the GMAT members only code

    MORE DETAILS
    Veritas Prep
  • 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
  • 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
  • Magoosh
    Magoosh
    Study with Magoosh GMAT prep

    Available with Beat the GMAT members only code

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

    Available with Beat the GMAT members only code

    MORE DETAILS
    PrepScholar GMAT

Operations on Rational Numbers

This topic has 4 member replies
Jeevanantham Junior | Next Rank: 30 Posts Default Avatar
Joined
08 Apr 2012
Posted:
18 messages
Thanked:
1 times

Operations on Rational Numbers

Post Sun May 27, 2012 3:28 am
Elapsed Time: 00:00
  • Lap #[LAPCOUNT] ([LAPTIME])
    If s and t are positive numbers such that s/t = 64.12, which of the following could be the remainder when s is divided by t?
    a) 2 b) 4 c) 8 d) 20 e) 45.

    Source : OG . Please explain the way to solve this problem. What is the key point in this problem to start up solving it.

    Need free GMAT or MBA advice from an expert? Register for Beat The GMAT now and post your question in these forums!
    aneesh.kg Master | Next Rank: 500 Posts
    Joined
    16 Apr 2012
    Posted:
    385 messages
    Followed by:
    29 members
    Thanked:
    186 times
    Post Sun May 27, 2012 3:40 am
    Jeevanantham wrote:
    If s and t are positive numbers such that s/t = 64.12, which of the following could be the remainder when s is divided by t?
    a) 2 b) 4 c) 8 d) 20 e) 45.

    Source : OG . Please explain the way to solve this problem. What is the key point in this problem to start up solving it.
    Let's discuss a few concepts first.

    Any number N can be represented by:
    N = Divisor*Quotient + Remainder
    Dividing LHS and RHS by Divisor,
    (N/Divisor) = Quotient + (Remainder/Divisor)
    (N/Divisor) = Integral Part + Decimal Part
    Any number when divided by another number leaves an Integral Part and a Decimal Part. The Integral Part = Quotient whereas the Decimal Part = (Remainder)/(Divisor)

    Lets return to this problem.
    Decimal Part = 0.12 = (Remainder)/t
    Remainder = 0.12t = 3t/25
    The Remainder has to be a multiple of 3 (and 't' has to be a multiple of 25).

    Among the options given, there is just one option that is a multiple of 3.
    (E) is correct.

    _________________
    Aneesh Bangia
    GMAT Math Coach
    aneesh.bangia@gmail.com

    GMATPad:
    Facebook Page: http://www.facebook.com/GMATPad

    Thanked by: Jeevanantham
    Jeevanantham Junior | Next Rank: 30 Posts Default Avatar
    Joined
    08 Apr 2012
    Posted:
    18 messages
    Thanked:
    1 times
    Post Sun May 27, 2012 3:55 am
    Thanks for your reply.

    But How come 0.12t = 3t/25 ? I did not get this point alone.

    aneesh.kg Master | Next Rank: 500 Posts
    Joined
    16 Apr 2012
    Posted:
    385 messages
    Followed by:
    29 members
    Thanked:
    186 times
    Post Sun May 27, 2012 4:00 am
    Jeevanantham wrote:
    Thanks for your reply.

    But How come 0.12t = 3t/25 ? I did not get this point alone.
    0.12t = 12t/100 = 3t/25
    I'm sure you could've thought of that too
    Smile

    _________________
    Aneesh Bangia
    GMAT Math Coach
    aneesh.bangia@gmail.com

    GMATPad:
    Facebook Page: http://www.facebook.com/GMATPad

    Jeevanantham Junior | Next Rank: 30 Posts Default Avatar
    Joined
    08 Apr 2012
    Posted:
    18 messages
    Thanked:
    1 times
    Post Sun May 27, 2012 4:02 am
    Yup... Smile You made it simple... Thanks man..

    Best Conversation Starters

    1 LUANDATO 138 topics
    2 lheiannie07 91 topics
    3 Roland2rule 79 topics
    4 AAPL 71 topics
    5 swerve 66 topics
    See More Top Beat The GMAT Members...

    Most Active Experts

    1 image description EconomistGMATTutor

    The Economist GMAT Tutor

    160 posts
    2 image description Jay@ManhattanReview

    Manhattan Review

    128 posts
    3 image description GMATGuruNY

    The Princeton Review Teacher

    125 posts
    4 image description Rich.C@EMPOWERgma...

    EMPOWERgmat

    118 posts
    5 image description Brent@GMATPrepNow

    GMAT Prep Now Teacher

    114 posts
    See More Top Beat The GMAT Experts