BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

In country Z, 10% of the people do not have a university...

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
Legendary Member
Posts: 2499
Joined: Sun Oct 29, 2017 2:04 pm
Followed by:6 members

In country Z, 10% of the people do not have a university...

by swerve » Thu Mar 22, 2018 9:30 am
In country Z, 10% of the people do not have a university diploma but have the job of their choice, and 25% of the people who do not have the job of their choice have a university diploma. If 40% of the people have the job of their choice, what percent of the people have a university diploma?

A. 35%
B. 45%
C. 55%
D. 65%
E. 75%

The OA is B.

Please, can any expert explain this PS question for me? I can't get the correct answer. I need your help. Thanks.
Top
Source: — Problem Solving |

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 3008
Joined: Mon Aug 22, 2016 6:19 am
Location: Grand Central / New York
Thanked: 470 times
Followed by:34 members

by Jay@ManhattanReview » Thu Mar 22, 2018 10:40 pm
swerve wrote:In country Z, 10% of the people do not have a university diploma but have the job of their choice, and 25% of the people who do not have the job of their choice have a university diploma. If 40% of the people have the job of their choice, what percent of the people have a university diploma?

A. 35%
B. 45%
C. 55%
D. 65%
E. 75%

The OA is B.

Please, can any expert explain this PS question for me? I can't get the correct answer. I need your help. Thanks.
See the image below

Image

Adding equation (1) and (2), we get

=> (0.3x + 0.25y) + (0.1x + 0.75y) = x
=> y = 0.6x

We have to get the value of [(0.3x + 0.25y) / x]*100% ---(3)

Plugging-in the value of y = 0.6x in equation (3), we get

[(0.3x + 0.25y) / x]*100% = [(0.3x + 0.25*0.6x) / x]*100% = [(0.3x + 0.15x) / x]*100% = [0.45x / x]*100% = 45%

The correct answer: B

Hope this helps!

-Jay
_________________
Manhattan Review GMAT Prep

Locations: New York | Singapore | London | Dubai | and many more...

Schedule your free consultation with an experienced GMAT Prep Advisor! Click here.
Top
User avatar
GMAT Instructor
Posts: 15539
Joined: Tue May 25, 2010 12:04 pm
Location: New York, NY
Thanked: 13060 times
Followed by:1906 members
GMAT Score:790

by GMATGuruNY » Fri Mar 23, 2018 1:55 am
swerve wrote:In country Z, 10% of the people do not have a university diploma but have the job of their choice, and 25% of the people who do not have the job of their choice have a university diploma. If 40% of the people have the job of their choice, what percent of the people have a university diploma?

A. 35%
B. 45%
C. 55%
D. 65%
E. 75%
Let J = job, NJ = no job, D = diploma, ND = no diploma.
To organize the data, use the following DOUBLE-MATRIX:
Image

40% of the people have the job of their choice.
The following matrix is yielded:
Image

10% of the people do not have a university diploma but have the job of their choice.
The following matrix is yielded:
Image

25% of the people who do not have the job of their choice have a university diploma.
Since 1/4 of the 60 jobless people have a diploma-- implying that 15 jobless people have a diploma -- the following matrix is yielded:
Image

What percent of the people have a university diploma?
In the completed matrix, total D = 45.

The correct answer is B.
Private tutor exclusively for the GMAT and GRE, with over 20 years of experience.
Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.

As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.

For more information, please email me (Mitch Hunt) at [email protected].
Student Review #1
Student Review #2
Student Review #3
Top

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 16207
Joined: Mon Dec 08, 2008 6:26 pm
Location: Vancouver, BC
Thanked: 5254 times
Followed by:1268 members
GMAT Score:770

by Brent@GMATPrepNow » Fri Mar 23, 2018 5:45 am
swerve wrote:In country Z, 10% of the people do not have a university diploma but have the job of their choice, and 25% of the people who do not have the job of their choice have a university diploma. If 40% of the people have the job of their choice, what percent of the people have a university diploma?

A. 35%
B. 45%
C. 55%
D. 65%
E. 75%
I thought I'd point out that Jay's and Mitch's Double Matrix approach 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 people, and the two characteristics are:
- has a university diploma or doesn't have a university diploma
- had job of choice or doesn't have job of choice

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: https://www.gmatprepnow.com/module/gmat- ... ems?id=919

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

Easy Problem Solving questions
- https://www.beatthegmat.com/finance-majo ... 67425.html

Medium Problem Solving questions
- https://www.gmatprepnow.com/module/gmat- ... /video/920
- https://www.beatthegmat.com/posted-speed ... 72374.html
- https://www.beatthegmat.com/motel-t271938.html
- https://www.beatthegmat.com/of-the-appli ... 70255.html
- https://www.beatthegmat.com/opening-nigh ... 64869.html
- https://www.beatthegmat.com/at-least-100 ... 74669.html
- https://www.beatthegmat.com/prblem-solving-t279424.html

Difficult Problem Solving questions
- https://www.gmatprepnow.com/module/gmat- ... /video/946
- https://www.beatthegmat.com/ratio-problem-t268339.html
- https://www.beatthegmat.com/overlapping- ... 65223.html
- https://www.beatthegmat.com/fractions-t264254.html
- https://www.beatthegmat.com/overlapping- ... 64092.html
- https://www.beatthegmat.com/mba/2011/05/ ... question-2

Easy Data Sufficiency questions
- https://www.gmatprepnow.com/module/gmat- ... /video/943
- https://www.beatthegmat.com/for-what-per ... 70596.html
- https://www.beatthegmat.com/ds-quest-t187706.html

Medium Data Sufficiency questions
- https://www.beatthegmat.com/sets-matrix-ds-t271914.html
- https://www.beatthegmat.com/each-of-peop ... 71375.html
- https://www.beatthegmat.com/a-manufacturer-t270331.html
- https://www.beatthegmat.com/in-costume-f ... 69355.html
- https://www.beatthegmat.com/mba/2011/05/ ... question-1

Difficult Data Sufficiency questions
- https://youtu.be/dsCeqF9Kbk8
- https://www.beatthegmat.com/double-set-m ... 71423.html
- https://youtu.be/dOZ9KM1m5Hs
- https://www.beatthegmat.com/sets-t269449.html
- https://www.beatthegmat.com/mba/2011/05/ ... question-3

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
Image
Top

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 8086
Joined: Sat Apr 25, 2015 10:56 am
Location: Los Angeles, CA
Thanked: 43 times
Followed by:29 members

by Scott@TargetTestPrep » Sun Jun 02, 2019 4:18 pm
swerve wrote:In country Z, 10% of the people do not have a university diploma but have the job of their choice, and 25% of the people who do not have the job of their choice have a university diploma. If 40% of the people have the job of their choice, what percent of the people have a university diploma?

A. 35%
B. 45%
C. 55%
D. 65%
E. 75%

Let's let the total number of people be 100.

Since 10% of the people do not have a university diploma but have a job of their choice, 10 people do not have a university diploma but do have a job of their choice.

Since 40% of the people, or 40 people, have a job of their choice, 60 people do not have a job of their choice. So we know that 0.25(60) = 15 people who do not have a job of their choice have a university diploma and thus 45 people who do not have a job of their choice do not have a university diploma.

Since 10 people do not have a university diploma but have a job of their choice and 45 people who do not have a job of their choice do not have a university diploma, it must mean 10 + 45 = 55 people do not have a university diploma. So 45 people, or 45/100 = 45% of the people do have a university diploma.

Answer: B

Scott Woodbury-Stewart
Founder and CEO
[email protected]

Image

See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews

ImageImage
Top
Post new topic Post Reply
• Page 1 of 1