• 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
  • EMPOWERgmat Slider
    1 Hour Free
    BEAT THE GMAT EXCLUSIVE

    Available with Beat the GMAT members only code

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

    Available with Beat the GMAT members only code

    MORE DETAILS
    PrepScholar GMAT
  • 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
  • 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
  • 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
  • Magoosh
    Magoosh
    Study with Magoosh GMAT prep

    Available with Beat the GMAT members only code

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

    Available with Beat the GMAT members only code

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

    Available with Beat the GMAT members only code

    MORE DETAILS
    Economist Test Prep

If [x] is the greatest integer..........

This topic has 2 expert replies and 0 member replies
pzazz12 Master | Next Rank: 500 Posts Default Avatar
Joined
22 Sep 2010
Posted:
155 messages
Thanked:
6 times

If [x] is the greatest integer..........

Post Mon Oct 25, 2010 4:05 am
Elapsed Time: 00:00
  • Lap #[LAPCOUNT] ([LAPTIME])
    If [x] is the greatest integer less than or equal to x, what is the value of [-1.6]+[3.4]+[2.7]?

    A. 3
    B. 4
    C. 5
    D. 6
    E. 7

    Need free GMAT or MBA advice from an expert? Register for Beat The GMAT now and post your question in these forums!

    GMAT/MBA Expert

    fskilnik GMAT Instructor
    Joined
    09 Oct 2010
    Posted:
    306 messages
    Followed by:
    23 members
    Thanked:
    59 times
    Post Mon Oct 25, 2010 4:56 am
    pzazz12 wrote:
    If [x] is the greatest integer less than or equal to x, what is the value of [-1.6]+[3.4]+[2.7]?

    A. 3
    B. 4
    C. 5
    D. 6
    E. 7
    Hi, pzazz12.

    Accept my advice: the BEST way to deal safely with this sort of problem is drawing the real number line... doing that, please note that [x] means the value of x itself if x is an integer and the value of the greater integer BELOW x if x is not an integer. That put:

    [-1.6] = -2
    [3.4] = 3
    [2.7] = 2

    And you finish it!

    Regards,
    Fabio.

    _________________
    GMATH high-level Quant Prep
    www.GMATH.NET

    Post Tue Jul 07, 2015 3:36 am
    pzazz12 wrote:
    If [x] is the greatest integer less than or equal to x, what is the value of [-1.6]+[3.4]+[2.7]?

    A. 3
    B. 4
    C. 5
    D. 6
    E. 7
    Solution:

    Remember that an integer is a "whole number" (either positive or negative), or 0. Thus, if we want to know the greatest integer less than or equal to, for example, 2.1, the answer would be 2, because 2, in this case, is the largest integer that is less than 2.1. Similarly, the greatest integer less than -2.4 would be -3, because -3 is the largest integer that is less than -2.4. Note that in each case, we have rounded down, because of the "less than" requirement stated in the question stem.

    We first need to determine the values for [-1.6], [3.4], and [2.7]. Since the notation [x] means the greatest integer less than or equal to x, we will round down each value in the brackets. Therefore,

    [-1.6] = -2

    [3.4] = 3

    [2.7] = 2

    We sum these three integers:

    -2 + 3 + 2 = 3

    Answer: A

    _________________
    Jeffrey Miller Head of GMAT Instruction

    Thanked by: hey.mims

    Best Conversation Starters

    1 Vincen 180 topics
    2 lheiannie07 61 topics
    3 Roland2rule 54 topics
    4 ardz24 44 topics
    5 VJesus12 14 topics
    See More Top Beat The GMAT Members...

    Most Active Experts

    1 image description Brent@GMATPrepNow

    GMAT Prep Now Teacher

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

    EMPOWERgmat

    105 posts
    3 image description GMATGuruNY

    The Princeton Review Teacher

    101 posts
    4 image description Jay@ManhattanReview

    Manhattan Review

    82 posts
    5 image description Matt@VeritasPrep

    Veritas Prep

    80 posts
    See More Top Beat The GMAT Experts