It is currently 13 Dec 2017, 14:55

Decision(s) Day!:

CHAT Rooms | Ross R1 | Kellogg R1 | Darden R1 | Tepper R1


Close

GMAT Club Daily Prep

Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

At a technology firm, employees are categorizes as either engineers or

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Expert Post
1 KUDOS received
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 42583

Kudos [?]: 135541 [1], given: 12697

At a technology firm, employees are categorizes as either engineers or [#permalink]

Show Tags

New post 29 Aug 2017, 22:44
1
This post received
KUDOS
Expert's post
3
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

85% (02:09) correct 15% (02:44) wrong based on 70 sessions

HideShow timer Statistics

At a technology firm, employees are categorizes as either engineers or non-engineers. 80% of the engineers have a masters degree and 55% of the non-engineers have a masters degree. If 70% of all employees have a masters degree, what percent of all employees are engineers?

A. 55%
B. 60%
C. 65%
D. 70%
E. 75%
[Reveal] Spoiler: OA

_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Kudos [?]: 135541 [1], given: 12697

3 KUDOS received
Director
Director
User avatar
P
Joined: 18 Aug 2016
Posts: 597

Kudos [?]: 180 [3], given: 136

GMAT 1: 630 Q47 V29
GMAT 2: 740 Q51 V38
GMAT ToolKit User Premium Member Reviews Badge CAT Tests
At a technology firm, employees are categorizes as either engineers or [#permalink]

Show Tags

New post 29 Aug 2017, 23:28
3
This post received
KUDOS
2
This post was
BOOKMARKED
Bunuel wrote:
At a technology firm, employees are categorizes as either engineers or non-engineers. 80% of the engineers have a masters degree and 55% of the non-engineers have a masters degree. If 70% of all employees have a masters degree, what percent of all employees are engineers?

A. 55%
B. 60%
C. 65%
D. 70%
E. 75%

...................M..............NM..............Total
E...............0.8x............0.2x...............x
NE............0.55y...........0.45y..............y
Total.....0.8x+0.55y....0.2x+0.45y.......x+y

\(0.8x+0.55y = 0.7(x+y)\)
\(0.1x = 0.15y\)
\(x=1.5y\)
Since we have to calculate the % of engineers from all employees..eqn would be x/(x+y)
\(1.5y/(1.5y+y)\)
1.5/2.5 = 60%
B
_________________

We must try to achieve the best within us


Thanks
Luckisnoexcuse


Last edited by Luckisnoexcuse on 30 Aug 2017, 00:07, edited 1 time in total.

Kudos [?]: 180 [3], given: 136

Manager
Manager
User avatar
S
Status: Searching for something I've been searching..LOL
Joined: 14 Dec 2016
Posts: 64

Kudos [?]: 25 [0], given: 158

Location: India
Concentration: Healthcare, Operations
Schools: Ross '20
GMAT 1: 590 Q35 V42
GPA: 3.5
WE: Medicine and Health (Health Care)
GMAT ToolKit User CAT Tests
Re: At a technology firm, employees are categorizes as either engineers or [#permalink]

Show Tags

New post 30 Aug 2017, 00:01
Luckisnoexcuse wrote:
Bunuel wrote:
At a technology firm, employees are categorizes as either engineers or non-engineers. 80% of the engineers have a masters degree and 55% of the non-engineers have a masters degree. If 70% of all employees have a masters degree, what percent of all employees are engineers?

A. 55%
B. 60%
C. 65%
D. 70%
E. 75%

M NM Total
E 0.8x 0.2x x
NE 0.55y 0.45y y
Total 0.8x+0.55y 0.2x+0.45y x+y

0.8x+0.55y = 0.7(x+y)
0.1x = 0.15y
x=1.5y
1.5/2.5 = 60%
B



Would you be kind enough to explain how you got the denominator in the highlighted step??? Luckisnoexcuse

Kudos [?]: 25 [0], given: 158

Director
Director
User avatar
P
Joined: 18 Aug 2016
Posts: 597

Kudos [?]: 180 [0], given: 136

GMAT 1: 630 Q47 V29
GMAT 2: 740 Q51 V38
GMAT ToolKit User Premium Member Reviews Badge CAT Tests
At a technology firm, employees are categorizes as either engineers or [#permalink]

Show Tags

New post 30 Aug 2017, 00:04
kill3rlook5 wrote:
Luckisnoexcuse wrote:
Bunuel wrote:
At a technology firm, employees are categorizes as either engineers or non-engineers. 80% of the engineers have a masters degree and 55% of the non-engineers have a masters degree. If 70% of all employees have a masters degree, what percent of all employees are engineers?

A. 55%
B. 60%
C. 65%
D. 70%
E. 75%

M NM Total
E 0.8x 0.2x x
NE 0.55y 0.45y y
Total 0.8x+0.55y 0.2x+0.45y x+y

0.8x+0.55y = 0.7(x+y)
0.1x = 0.15y
x=1.5y
1.5/2.5 = 60%
B



Would you be kind enough to explain how you got the denominator in the highlighted step??? Luckisnoexcuse

Sure kill3rlook5
We have to calculate x/(x+y) since x = 1.5y
x/(x+y) = 1.5y/(1.5y + y) = 1.5/2.5..which is 60% in % terms
Hope it helps
_________________

We must try to achieve the best within us


Thanks
Luckisnoexcuse

Kudos [?]: 180 [0], given: 136

Manager
Manager
User avatar
S
Status: Searching for something I've been searching..LOL
Joined: 14 Dec 2016
Posts: 64

Kudos [?]: 25 [0], given: 158

Location: India
Concentration: Healthcare, Operations
Schools: Ross '20
GMAT 1: 590 Q35 V42
GPA: 3.5
WE: Medicine and Health (Health Care)
GMAT ToolKit User CAT Tests
Re: At a technology firm, employees are categorizes as either engineers or [#permalink]

Show Tags

New post 30 Aug 2017, 00:18
Quote:
Sure kill3rlook5
We have to calculate x/(x+y) since x = 1.5y
x/(x+y) = 1.5y/(1.5y + y) = 1.5/2.5..which is 60% in % terms
Hope it helps



Thanks a ton for explaining that. I was on the verge of tearing my hair trying to understand that.... :-D :-D :-D :-D

Kudos [?]: 25 [0], given: 158

VP
VP
avatar
P
Joined: 22 May 2016
Posts: 1123

Kudos [?]: 402 [0], given: 644

At a technology firm, employees are categorizes as either engineers or [#permalink]

Show Tags

New post 30 Aug 2017, 17:01
Luckisnoexcuse wrote:
Bunuel wrote:
At a technology firm, employees are categorizes as either engineers or non-engineers. 80% of the engineers have a masters degree and 55% of the non-engineers have a masters degree. If 70% of all employees have a masters degree, what percent of all employees are engineers?

A. 55%
B. 60%
C. 65%
D. 70%
E. 75%

...................M..............NM..............Total
E...............0.8x............0.2x...............x
NE............0.55y...........0.45y..............y
Total.....0.8x+0.55y....0.2x+0.45y.......x+y

\(0.8x+0.55y = 0.7(x+y)\)
\(0.1x = 0.15y\)
\(x=1.5y\)
Since we have to calculate the % of engineers from all employees..eqn would be x/(x+y)
\(1.5y/(1.5y+y)\)
1.5/2.5 = 60%
B

I used your equation, but not your chart, and confused myself for a LONG time about total, despite the fact that I had just used both variables in a weighted average to find the ratio of x to y.

I kept thinking that I had failed to account for the other 30 percent who were not included in the equation. I chose B, unconvinced.

Then I saw your post. I'm still not sure I understand what happened to the other 30 percent, but I believe you.

Nice work. And kudos.

Kudos [?]: 402 [0], given: 644

Expert Post
4 KUDOS received
Target Test Prep Representative
User avatar
S
Status: Head GMAT Instructor
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 1802

Kudos [?]: 981 [4], given: 5

Re: At a technology firm, employees are categorizes as either engineers or [#permalink]

Show Tags

New post 02 Sep 2017, 06:11
4
This post received
KUDOS
Expert's post
1
This post was
BOOKMARKED
Bunuel wrote:
At a technology firm, employees are categorizes as either engineers or non-engineers. 80% of the engineers have a masters degree and 55% of the non-engineers have a masters degree. If 70% of all employees have a masters degree, what percent of all employees are engineers?

A. 55%
B. 60%
C. 65%
D. 70%
E. 75%


We can let the total employees = 100.

Thus, 70 have a master’s degree and 30 do not.

We can let n = the number of engineers and create the following equation:

0.8n + 0.55(100 - n) = 70

0.8n + 55 - 0.55n = 70

0.25n = 15

n = 60

Thus, engineers are 60% of the employees.

Answer: B
_________________

Jeffery Miller
Head of GMAT Instruction

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

Kudos [?]: 981 [4], given: 5

Manager
Manager
avatar
B
Joined: 03 May 2014
Posts: 167

Kudos [?]: 17 [0], given: 126

Location: India
WE: Sales (Mutual Funds and Brokerage)
Re: At a technology firm, employees are categorizes as either engineers or [#permalink]

Show Tags

New post 10 Sep 2017, 20:04
Overlapping sets problem. we can use 2X2 table.
Attachments

Screen Shot 2017-09-11 at 9.33.11 AM.png
Screen Shot 2017-09-11 at 9.33.11 AM.png [ 34.29 KiB | Viewed 533 times ]

Kudos [?]: 17 [0], given: 126

Manager
Manager
User avatar
B
Status: love the club...
Joined: 24 Mar 2015
Posts: 213

Kudos [?]: 21 [0], given: 472

Re: At a technology firm, employees are categorizes as either engineers or [#permalink]

Show Tags

New post 10 Sep 2017, 21:14
1
This post was
BOOKMARKED
Bunuel wrote:
At a technology firm, employees are categorizes as either engineers or non-engineers. 80% of the engineers have a masters degree and 55% of the non-engineers have a masters degree. If 70% of all employees have a masters degree, what percent of all employees are engineers?

A. 55%
B. 60%
C. 65%
D. 70%
E. 75%




70 = .8x + (100 - x)* .55
solving for x we can get the answer ...

hope this helps
cheers ..

Kudos [?]: 21 [0], given: 472

Manager
Manager
User avatar
G
Joined: 31 Jul 2017
Posts: 169

Kudos [?]: 67 [0], given: 74

Location: United States
Concentration: Finance, Economics
GPA: 3.32
Reviews Badge CAT Tests
At a technology firm, employees are categorizes as either engineers or [#permalink]

Show Tags

New post 11 Sep 2017, 10:57
Explaining the photo below using the see-saw method:

Please forgive the crudeness of the drawing!

The ratio of masters degrees is 3:2 (15:10), weighted towards engineers. So, engineers comprise 60% of the company. We get this because we know 55% of non engineers have their degree, and 80% of engineers do as well, so you can determine the weight of each, given that 70% of the total company have their degree.

Notice the tilt towards the engineer side, so you don't get confused with the 15 and 10.
Attachments

picture 1.png
picture 1.png [ 13.12 KiB | Viewed 447 times ]


_________________

D-Day: November 18th, 2017

Kudos [?]: 67 [0], given: 74

At a technology firm, employees are categorizes as either engineers or   [#permalink] 11 Sep 2017, 10:57
Display posts from previous: Sort by

At a technology firm, employees are categorizes as either engineers or

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.