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If 25% of a company's employees are

This topic has 3 expert replies and 0 member replies

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If 25% of a company's employees are

Post Mon Sep 25, 2017 5:29 am
Elapsed Time: 00:00
  • Lap #[LAPCOUNT] ([LAPTIME])
    If 25% of a company's employees are women older than 30, what percent of the men employees are 30 or younger?

    1.Half of the women employees are 30 or younger
    2.35% of the company's employees are men of 30 or younger

    OA: C

    Can somebody explain via 2*2 or Venn diagram?

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    Post Mon Sep 25, 2017 6:33 am
    NandishSS wrote:
    If 25% of a company's employees are women older than 30, what percent of the men employees are 30 or younger?

    1.Half of the women employees are 30 or younger
    2.35% of the company's employees are men of 30 or younger

    OA: C

    Can somebody explain via 2*2 or Venn diagram?
    Set up your double-set matrix and designate the total 'T.' We'll start with this:




    Statement 1 tell us that half of the women are 30 or younger. Well, that means there are the same number of women 30 or younger as over 30. If there are .25T older than 30, there will be .25T under
    30, giving us a total of .5T women, and thus .5T men. But not enough to find the percent of male employees who are 30 or younger. S1 is not sufficient. Now our matrix looks like this:





    Statement 2 tells us that the Men/30 or over cell is .35T. By itself, not sufficient. Our matrix would look like this:




    Together we know that there are .5T men and .35T of those are 40 or over, thus leaving .15T who are under 30. Thus the percent of men under 30 would be .15T/.5T = 30%. We have a unique value, this together the statements are sufficient. The answer is C


    Our final matrix looks like this:



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    Post Mon Sep 25, 2017 6:52 am
    NandishSS wrote:
    If 25% of a company's employees are women older than 30, what percent of the men employees are 30 or younger?

    1.Half of the women employees are 30 or younger
    2.35% of the company's employees are men of 30 or younger
    Let the total number of employees = 100.
    Since 25% of the employees are women older than 30, the following matrix is yielded:


    What percent of the men employees are 30 or younger?
    Question stem, rephrased:
    What is the value of (men 30 or younger)/(all men)?

    Statement 1: Half of the women employees are 30 or younger.
    Since half of the women are 30 or younger, the 25 women who are older than 30 must constitute the remaining half of the women, implying that there are a total of 50 women.
    The following matrix is yielded:

    No way to determine the value of (men 30 or younger)/(all men).
    INSUFFICIENT.

    Statement 2: 35% of the company's employees are men of 30 or younger.
    The following matrix is yielded:

    No way to determine the value of (men 30 or younger)/(all men).
    INSUFFICIENT.

    Statements combined:
    The following matrix is yielded:

    Thus:
    (men 30 or younger)/(all men) = 35/50.
    SUFFICIENT.

    The correct answer is C.

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    Post Mon Sep 25, 2017 7:11 am
    I thought I'd point out that Mitch's approach (known as the Double Matrix Method) can be used for most questions featuring a population in which each member has two characteristics associated with it.
    Here, we have a population of employees, and the two characteristics are:
    - female or male
    -aged 30 or younger or older than 30

    This question type is VERY COMMON on the GMAT, so be sure to master the technique.

    To learn more about the Double Matrix Method, watch this video: http://www.gmatprepnow.com/module/gmat-word-problems?id=919

    Once you’re familiar with this technique, you can attempt these additional practice questions:

    Easy Problem Solving questions
    - http://www.beatthegmat.com/finance-majors-non-finance-majors-overlapping-set-question-t167425.html

    Medium Problem Solving questions
    - http://www.gmatprepnow.com/module/gmat-word-problems/video/920
    - http://www.beatthegmat.com/posted-speed-limit-t272374.html
    - http://www.beatthegmat.com/motel-t271938.html
    - http://www.beatthegmat.com/of-the-applicants-passes-a-certain-test-15-t270255.html
    - http://www.beatthegmat.com/opening-night-and-late-patrons-t264869.html
    - http://www.beatthegmat.com/at-least-100-students-at-a-certain-high-school-study-japanes-t274669.html
    - http://www.beatthegmat.com/prblem-solving-t279424.html

    Difficult Problem Solving questions
    - http://www.gmatprepnow.com/module/gmat-word-problems/video/946
    - http://www.beatthegmat.com/ratio-problem-t268339.html
    - http://www.beatthegmat.com/overlapping-sets-question-t265223.html
    - http://www.beatthegmat.com/fractions-t264254.html
    - http://www.beatthegmat.com/overlapping-sets-t264092.html
    - http://www.beatthegmat.com/mba/2011/05/09/random-double-matrix-question-2

    Easy Data Sufficiency questions
    - http://www.gmatprepnow.com/module/gmat-word-problems/video/943
    - http://www.beatthegmat.com/for-what-percent-of-those-tested-for-a-certain-t270596.html
    - http://www.beatthegmat.com/ds-quest-t187706.html

    Medium Data Sufficiency questions
    - http://www.beatthegmat.com/sets-matrix-ds-t271914.html
    - http://www.beatthegmat.com/each-of-people-voted-once-in-an-election-x-t271375.html
    - http://www.beatthegmat.com/a-manufacturer-t270331.html
    - http://www.beatthegmat.com/in-costume-for-halloween-t269355.html
    - http://www.beatthegmat.com/mba/2011/05/05/random-double-matrix-question-1

    Difficult Data Sufficiency questions
    - https://youtu.be/dsCeqF9Kbk8
    - http://www.beatthegmat.com/double-set-matrix-question-t271423.html
    - https://youtu.be/dOZ9KM1m5Hs
    - http://www.beatthegmat.com/sets-t269449.html
    - http://www.beatthegmat.com/mba/2011/05/16/random-double-matrix-question-3

    Cheers,
    Brent

    _________________
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