GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 19 Dec 2018, 03:57

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 in December
PrevNext
SuMoTuWeThFrSa
2526272829301
2345678
9101112131415
16171819202122
23242526272829
303112345
Open Detailed Calendar
  • Happy Christmas 20% Sale! Math Revolution All-In-One Products!

     December 20, 2018

     December 20, 2018

     10:00 PM PST

     11:00 PM PST

    This is the most inexpensive and attractive price in the market. Get the course now!
  • Key Strategies to Master GMAT SC

     December 22, 2018

     December 22, 2018

     07:00 AM PST

     09:00 AM PST

    Attend this webinar to learn how to leverage Meaning and Logic to solve the most challenging Sentence Correction Questions.

At a small company, 70 percent of the employees are women, and 60 perc

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

Hide Tags

Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 51302
At a small company, 70 percent of the employees are women, and 60 perc  [#permalink]

Show Tags

New post 09 Jul 2015, 03:04
1
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

92% (01:49) correct 8% (02:55) wrong based on 139 sessions

HideShow timer Statistics

At a small company, 70 percent of the employees are women, and 60 percent of the employees are married. If 2/3 of the men are single, what fraction of the women are married?

A. 5/16
B. 1/3
C. 9/20
D. 7/10
E. 5/7

Kudos for a correct solution.

_________________

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

CEO
CEO
User avatar
P
Status: GMATINSIGHT Tutor
Joined: 08 Jul 2010
Posts: 2711
Location: India
GMAT: INSIGHT
WE: Education (Education)
Reviews Badge
Re: At a small company, 70 percent of the employees are women, and 60 perc  [#permalink]

Show Tags

New post 09 Jul 2015, 03:55
3
Bunuel wrote:
At a small company, 70 percent of the employees are women, and 60 percent of the employees are married. If 2/3 of the men are single, what fraction of the women are married?

A. 5/16
B. 1/3
C. 9/20
D. 7/10
E. 5/7

Kudos for a correct solution.



Make a Double Matrix and Solve as mentioned below

Answer: Option E
Attachments

File comment: www.GMATinsight.com
Sol 5.jpg
Sol 5.jpg [ 132.23 KiB | Viewed 4583 times ]


_________________

Prosper!!!
GMATinsight
Bhoopendra Singh and Dr.Sushma Jha
e-mail: info@GMATinsight.com I Call us : +91-9999687183 / 9891333772
Online One-on-One Skype based classes and Classroom Coaching in South and West Delhi
http://www.GMATinsight.com/testimonials.html

ACCESS FREE GMAT TESTS HERE:22 ONLINE FREE (FULL LENGTH) GMAT CAT (PRACTICE TESTS) LINK COLLECTION

Manager
Manager
User avatar
Joined: 26 Dec 2011
Posts: 114
Schools: HBS '18, IIMA
Re: At a small company, 70 percent of the employees are women, and 60 perc  [#permalink]

Show Tags

New post 09 Jul 2015, 04:57
2
Bunuel wrote:
At a small company, 70 percent of the employees are women, and 60 percent of the employees are married. If 2/3 of the men are single, what fraction of the women are married?

A. 5/16
B. 1/3
C. 9/20
D. 7/10
E. 5/7

Kudos for a correct solution.


Solution -

Lets take total employees are 100.

Given that, Total Women = 70 and Total Married = 60.

Total Men = 100 - 70 = 30 and Single men = 2/3*30 = 20.

Married men = total men - single men = 30 - 20 = 10.
Married women = Total married - Married men = 60 - 10 = 50.

Fraction of women are married = Married women / Total Women = 50 / 70 = 5/7. ANS E
_________________

Thanks,
Kudos Please

Current Student
avatar
Joined: 22 Apr 2015
Posts: 46
Location: United States
GMAT 1: 620 Q46 V27
GPA: 3.86
Re: At a small company, 70 percent of the employees are women, and 60 perc  [#permalink]

Show Tags

New post 09 Jul 2015, 17:58
1
I got the right answer but only by partially guessing since the only answer I recognized after the matrix was 5/7.

But the question stem had me confused because I was thinking Married Women/total employees. Am I reading something wrong?
CEO
CEO
avatar
S
Joined: 20 Mar 2014
Posts: 2631
Concentration: Finance, Strategy
Schools: Kellogg '18 (M)
GMAT 1: 750 Q49 V44
GPA: 3.7
WE: Engineering (Aerospace and Defense)
GMAT ToolKit User Premium Member Reviews Badge
At a small company, 70 percent of the employees are women, and 60 perc  [#permalink]

Show Tags

New post 09 Jul 2015, 18:02
1
xLUCAJx wrote:
I got the right answer but only by partially guessing since the only answer I recognized after the matrix was 5/7.

But the question stem had me confused because I was thinking Married Women/total employees. Am I reading something wrong?


Yes, the question asks you to provide a ratio of married women / total women (=5/7) and not married women/ total employees (this will incorrectly give you 1/2). The question stem asks about "what fraction of the women are married?". It does not say "what fraction of total employees are the women married?" (or a similar language).
Director
Director
avatar
P
Joined: 21 May 2013
Posts: 652
Re: At a small company, 70 percent of the employees are women, and 60 perc  [#permalink]

Show Tags

New post 11 Jul 2015, 10:12
Bunuel wrote:
At a small company, 70 percent of the employees are women, and 60 percent of the employees are married. If 2/3 of the men are single, what fraction of the women are married?

A. 5/16
B. 1/3
C. 9/20
D. 7/10
E. 5/7

Kudos for a correct solution.


Let no of employees=100
No of women=70
No of men=30
Married employees=60
2/3 of men i.e 20 are single
Married men=10
Married women=60-10=50
Single women=20
Single men=10
Reqd fraction=50/70=5/7
Answer E
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 51302
Re: At a small company, 70 percent of the employees are women, and 60 perc  [#permalink]

Show Tags

New post 13 Jul 2015, 01:58
Bunuel wrote:
At a small company, 70 percent of the employees are women, and 60 percent of the employees are married. If 2/3 of the men are single, what fraction of the women are married?

A. 5/16
B. 1/3
C. 9/20
D. 7/10
E. 5/7

Kudos for a correct solution.


800score Official Solution:

A good strategy when asked to find fractions or percentages of populations of unspecified size is to assume that the whole population is composed of 100 members. This makes it easier to handle. Therefore, suppose that there are 100 employees in the company. If 70% are women, then 30% are men. We then have 70 women and 30 men. If 2/3 of the men are single, then 1/3 of 30 (10 men) are married. 60% of 100 (or 60) employees are married. If 10 are men, then 50 are women. Therefore, the fraction of women who are married is 50/70, or 5/7.

The right answer is choice (E).
_________________

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

Target Test Prep Representative
User avatar
G
Status: Head GMAT Instructor
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2830
Re: At a small company, 70 percent of the employees are women, and 60 perc  [#permalink]

Show Tags

New post 26 Feb 2018, 10:18
Bunuel wrote:
At a small company, 70 percent of the employees are women, and 60 percent of the employees are married. If 2/3 of the men are single, what fraction of the women are married?

A. 5/16
B. 1/3
C. 9/20
D. 7/10
E. 5/7


We can let the total number of employees = n, thus:

(7/10)n = women, (3/10)n = men, (6/10)n = (3/5)n = married, (4/10)n = (2/5)n = not married

Since 2/3 of the men are not married, (2/3) x (3/10)n = n/5 = not married men, thus:

2n/5 - n/5 = n/5 = not married women

Thus, the number of married women is 7n/10 - n/5 = 7n/10 - 2n/10 = 5n/10 and the fraction of the women are married is (5n/10)/(7n/10) = 5/7.

Alternate Solution:

Let’s assume there are 300 employees at the company. We know that 70% of them, or 0.7 x 300 = 210, are women, which means that there are 300 - 210 = 90 men employed at the company. We are also given that 2/3 of the 90 men, which is 2/3 x 90 = 60, are single. This means that there are 90- 60 = 30 married men.

We are also given that 60% of the employees are married, which is 0.6 x 300 = 180 employees. Subtracting the 30 married men from this total leaves us with 180 - 30 = 150 married women.

Thus, there are 150 married women out of 210 total women, giving us 150/210 = 15/21 = 5/7.

Answer: E
_________________

Jeffery Miller
Head of GMAT Instruction

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

GMAT Club Bot
Re: At a small company, 70 percent of the employees are women, and 60 perc &nbs [#permalink] 26 Feb 2018, 10:18
Display posts from previous: Sort by

At a small company, 70 percent of the employees are women, and 60 perc

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


Copyright

GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| 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®.