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

It is currently 13 Nov 2018, 18:44

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 November
PrevNext
SuMoTuWeThFrSa
28293031123
45678910
11121314151617
18192021222324
2526272829301
Open Detailed Calendar
  • Essential GMAT Time-Management Hacks

     November 14, 2018

     November 14, 2018

     07:00 PM PST

     08:00 PM PST

    Join the webinar and learn time-management tactics that will guarantee you answer all questions, in all sections, on time. Save your spot today! Nov. 14th at 7 PM PST
  • $450 Tuition Credit & Official CAT Packs FREE

     November 15, 2018

     November 15, 2018

     10:00 PM MST

     11:00 PM MST

    EMPOWERgmat is giving away the complete Official GMAT Exam Pack collection worth $100 with the 3 Month Pack ($299)

If 7 times the number of male workers in a certain factory equals 3

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

Hide Tags

Intern
Intern
User avatar
S
Joined: 20 Oct 2017
Posts: 28
Location: India
Concentration: Organizational Behavior, Sustainability
WE: Other (Education)
If 7 times the number of male workers in a certain factory equals 3  [#permalink]

Show Tags

New post Updated on: 09 Feb 2018, 13:41
2
1
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

72% (00:51) correct 28% (02:13) wrong based on 65 sessions

HideShow timer Statistics

If 7 times the number of male workers in a certain factory equals 3 times the number of female workers, then which of the following can be the total number of workers in this factory?

A. 21
B. 37
C. 110
D. 128
E. 201

Source: examPAL

_________________

:-) Giving Kudos is the best way to say 'Thank You' :-)


Originally posted by Jiggy11 on 05 Feb 2018, 11:45.
Last edited by Jiggy11 on 09 Feb 2018, 13:41, edited 3 times in total.
Intern
Intern
avatar
B
Joined: 27 Jan 2016
Posts: 19
Location: India
Concentration: International Business, Operations
WE: Design (Energy and Utilities)
CAT Tests
Re: If 7 times the number of male workers in a certain factory equals 3  [#permalink]

Show Tags

New post 05 Feb 2018, 12:08
3
Consider x male , y female employee.
As per the statement 7x=3y
Implies y=7x/3
X+Y
x+7x/3+=10x/3
In the options 110 is a multiple of 10
So..
Option C
VP
VP
User avatar
P
Joined: 09 Mar 2016
Posts: 1060
Re: If 7 times the number of male workers in a certain factory equals 3  [#permalink]

Show Tags

New post 05 Feb 2018, 12:55
shivsuddala wrote:
Consider x male , y female employee.
As per the statement 7x=3y
Implies y=7x/3
X+Y
x+7x/3+=10x/3
In the options 110 is a multiple of 10
So..
Option C


how did you get 10x ? :?
Intern
Intern
User avatar
S
Joined: 20 Oct 2017
Posts: 28
Location: India
Concentration: Organizational Behavior, Sustainability
WE: Other (Education)
Re: If 7 times the number of male workers in a certain factory equals 3  [#permalink]

Show Tags

New post 05 Feb 2018, 22:46
2
dave13 wrote:
shivsuddala wrote:
Consider x male , y female employee.
As per the statement 7x=3y
Implies y=7x/3
X+Y
x+7x/3+=10x/3
In the options 110 is a multiple of 10
So..
Option C


how did you get 10x ? :?


Think it this way.
7M = 3F
Therefor M = (3/7) F
Now Total Workers in the factory are = M + F = (3/7)F + F = 10F/7
So whatever be the number of Workers; The number of female workers will always be an integer value.
Now lets check each option:
Option A = Total Workers is 21 implies 10F/7 = 21; giving an non-integer value for F
Option B = Total Workers is 37 implies 10F/7 = 37; again giving an non-integer value for F
Option C = Total Workers is 110 implies 10F/7 = 110; giving an integer value of F = 77 and that leaves number of males M = 33
7 times number of males = 7 x 33 = 231 = 3 times number of females = 3 x 77 = 231
Hence C is the only possible answer.

Option D = Total Workers is 128 implies 10F/7 = 128; again giving an non-integer value for F
Option E = Total Workers is 201 implies 10F/7 = 201; again giving an non-integer value for F
_________________

:-) Giving Kudos is the best way to say 'Thank You' :-)

Veritas Prep GMAT Instructor
User avatar
P
Joined: 16 Oct 2010
Posts: 8527
Location: Pune, India
Re: If 7 times the number of male workers in a certain factory equals 3  [#permalink]

Show Tags

New post 06 Feb 2018, 01:17
1
1
Jiggy11 wrote:
If 7 times the number of male workers in a certain factory equals 3 times the number of female workers, then which of the following can be the total number of workers in this factory?

A. 21
B. 37
C. 110
D. 128
E. 201

Source: examPAL


7M = 3F

\(\frac{M}{F} = \frac{3}{7}\)

Since number of male workers and female workers must both be integers, M must be a multiple of 3 (say M = 3a) and F the same multiple of 7 (say F = 7a).

So the sum will be 3a+7a = 10a

Only option (C) is possible.
_________________

Karishma
Veritas Prep GMAT Instructor

Learn more about how Veritas Prep can help you achieve a great GMAT score by checking out their GMAT Prep Options >

GMAT self-study has never been more personalized or more fun. Try ORION Free!

Intern
Intern
avatar
Joined: 09 Apr 2017
Posts: 2
Re: If 7 times the number of male workers in a certain factory equals 3  [#permalink]

Show Tags

New post 25 May 2018, 20:58
shiv17 wrote:
Consider x male , y female employee.
As per the statement 7x=3y
Implies y=7x/3
X+Y
x+7x/3+=10x/3
In the options 110 is a multiple of 10
So..
Option C


Could you explain this in some other way too?
Intern
Intern
avatar
B
Joined: 24 Sep 2017
Posts: 4
Re: If 7 times the number of male workers in a certain factory equals 3  [#permalink]

Show Tags

New post 25 May 2018, 21:01
If 7 times the number of male workers in a certain factory equals 3 times the number of female workers, then which of the following can be the total number of workers in this factory?

Work with it like this 7:3 is ratio of male to females.
Can be written as 7x:3x and hence total workers 7x+3x=10x
One factor is 10 and answer choice C is divisible by 10, hence correct.
GMAT Club Bot
Re: If 7 times the number of male workers in a certain factory equals 3 &nbs [#permalink] 25 May 2018, 21:01
Display posts from previous: Sort by

If 7 times the number of male workers in a certain factory equals 3

  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®.