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

    Available with Beat the GMAT members only code

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

    Available with Beat the GMAT members only code

    MORE DETAILS
    Economist Test Prep
  • 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

A certain high school has 5,000 (OG2016)

This topic has 2 expert replies and 2 member replies
boomgoesthegmat Senior | Next Rank: 100 Posts Default Avatar
Joined
25 Apr 2016
Posted:
93 messages
Thanked:
1 times

A certain high school has 5,000 (OG2016)

Post Fri May 06, 2016 12:30 pm
Elapsed Time: 00:00
  • Lap #[LAPCOUNT] ([LAPTIME])
    A certain high school has 5,000 students. Of these students, x are taking music, y are taking art, and z are taking both music and art. How many students are taking neither music nor art?

    A) 5000 - z
    B) 5000 - x - y
    C) 5000 - x + z
    D) 5000 - x - y - z
    E) 5000 - x - y + z

    OA: E

    Need free GMAT or MBA advice from an expert? Register for Beat The GMAT now and post your question in these forums!
    OptimusPrep Master | Next Rank: 500 Posts
    Joined
    13 Mar 2015
    Posted:
    410 messages
    Followed by:
    7 members
    Thanked:
    120 times
    GMAT Score:
    770
    Post Sat May 07, 2016 7:50 pm
    boomgoesthegmat wrote:
    A certain high school has 5,000 students. Of these students, x are taking music, y are taking art, and z are taking both music and art. How many students are taking neither music nor art?

    A) 5000 - z
    B) 5000 - x - y
    C) 5000 - x + z
    D) 5000 - x - y - z
    E) 5000 - x - y + z

    OA: E
    Music = x,
    Art = y
    Both Music and Art = z

    Therefore people who take atleast one = x + y - z
    People who have taken none = 5000 - (x + y - z) = 5000 - x - y + z

    Correct Option: E

    _________________
    Ankur
    99th Percentile GMAT Tutor | Optimus Prep™

    Optimus Prep™ GMAT Courses:
    www.Optimus-Prep.com/GMAT

    Free Online Trial Hour:
    http://www.optimus-prep.com/request-free-online-trial-hour/

    Free GMAT Study Plan:
    http://www.optimus-prep.com/ebook/

    Optimus Prep™ Rates:
    GMAT Private Tutoring Online: $80-100/hr.*
    GMAT Private Tutoring In-Person: $130-150/hr.*
    GMAT On Demand Course: $299 (Use Discount Code BEATTHEGMAT111)*

    *All GMAT Courses Have A 50 Points Score Improvement Or Full Refund Guarantee

    Post Mon May 09, 2016 10:46 am
    boomgoesthegmat wrote:
    A certain high school has 5,000 students. Of these students, x are taking music, y are taking art, and z are taking both music and art. How many students are taking neither music nor art?

    A) 5000 - z
    B) 5000 - x - y
    C) 5000 - x + z
    D) 5000 - x - y - z
    E) 5000 - x - y + z

    OA: E
    Solution:

    We are given an overlapping set with 2 categories: music and art. In any two-category set problem we can use the following formula:

    Total number of members = # in category A + # in category B - # in both categories + # in neither category

    Using the formula for the current problem we have:

    5,000 = x + y - z + neither

    5,000 - x - y + z = neither

    Answer:E

    _________________
    Jeffrey Miller Head of GMAT Instruction

    800_or_bust Master | Next Rank: 500 Posts Default Avatar
    Joined
    26 Apr 2014
    Posted:
    199 messages
    Followed by:
    4 members
    Thanked:
    16 times
    Test Date:
    7/9/2016
    GMAT Score:
    780
    Post Mon May 09, 2016 11:31 am
    boomgoesthegmat wrote:
    A certain high school has 5,000 students. Of these students, x are taking music, y are taking art, and z are taking both music and art. How many students are taking neither music nor art?

    A) 5000 - z
    B) 5000 - x - y
    C) 5000 - x + z
    D) 5000 - x - y - z
    E) 5000 - x - y + z

    OA: E
    In lieu of solving, I'll just post a reminder that you have to add the members of the combined set to avoid double counting. With that said, the answer should be fairly intuitive.

    _________________
    800 or bust!

    GMAT/MBA Expert

    Post Wed May 11, 2016 11:47 pm
    You could also just pick numbers.

    Suppose x = 100, y = 50, and z = 10.

    Since z is counted in both x and y, we have 90 taking just music, 40 taking just art, and 10 taking both.

    5000 - 90 - 40 - 10 = 4860 = E.

    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 65 topics
    3 Roland2rule 49 topics
    4 ardz24 40 topics
    5 LUANDATO 16 topics
    See More Top Beat The GMAT Members...

    Most Active Experts

    1 image description Brent@GMATPrepNow

    GMAT Prep Now Teacher

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

    EMPOWERgmat

    103 posts
    3 image description GMATGuruNY

    The Princeton Review Teacher

    100 posts
    4 image description EconomistGMATTutor

    The Economist GMAT Tutor

    92 posts
    5 image description Jay@ManhattanReview

    Manhattan Review

    79 posts
    See More Top Beat The GMAT Experts