It is currently 22 Sep 2017, 03:09

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

Four staff members at a certain company worked on a project

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

Hide Tags

1 KUDOS received
Intern
Intern
User avatar
Joined: 20 Feb 2012
Posts: 42

Kudos [?]: 473 [1], given: 6

Four staff members at a certain company worked on a project [#permalink]

Show Tags

New post 27 Feb 2012, 10:03
1
This post received
KUDOS
16
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

74% (01:44) correct 26% (01:47) wrong based on 777 sessions

HideShow timer Statistics

Four staff members at a certain company worked on a project. The amounts of time that the four staff members worked on the project were in the ratio 2 to 3 to 5 to 6. If one of the four staff members worked on the project for 30 hours, which of the following CANNOT be the total number of hours that the four staff members worked on the project?

A. 80
B. 96
C. 160
D. 192
E. 240
[Reveal] Spoiler: OA

Kudos [?]: 473 [1], given: 6

Expert Post
13 KUDOS received
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 41682

Kudos [?]: 124396 [13], given: 12078

Re: Four staff members at a certain company worked on a project [#permalink]

Show Tags

New post 27 Feb 2012, 13:31
13
This post received
KUDOS
Expert's post
9
This post was
BOOKMARKED
BANON wrote:
Four staff members at a certain company worked on a project. The amounts of time that the four staff members worked on the project were in the ratio 2 to 3 to 5 to 6. If one of the four staff members worked on the project for 30 hours, which of the following CANNOT be the total number of hours that the four staff members worked on the project?

A. 80
B. 96
C. 160
D. 192
E. 240


A:B:C:D=2x:3x:5x:6x, for some positive number x. Total time 2x+3x+5x+6x=16x.

If 2x = 30 then 16x = 240;
If 3x = 30 then 16x = 160;
If 5x = 30 then 16x = 96;
If 6x = 30 then 16x = 80;

Only answer choices which is not obtained is 192.

Answer: D.
_________________

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 [?]: 124396 [13], given: 12078

2 KUDOS received
Intern
Intern
avatar
Joined: 08 Mar 2012
Posts: 4

Kudos [?]: 9 [2], given: 0

Re: Four staff members at a certain company worked on a project [#permalink]

Show Tags

New post 21 Mar 2012, 00:16
2
This post received
KUDOS
well 192 is a multiple of 16, where x=12.
since for x=12, no person in the company can have worked 30 hrs, hence 192 cannot be the total hours...
that is my understanding... am i correct???

Kudos [?]: 9 [2], given: 0

Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 41682

Kudos [?]: 124396 [0], given: 12078

Re: Four staff members at a certain company worked on a project [#permalink]

Show Tags

New post 21 Mar 2012, 00:29
monalimishra wrote:
well 192 is a multiple of 16, where x=12.
since for x=12, no person in the company can have worked 30 hrs, hence 192 cannot be the total hours...
that is my understanding... am i correct???


That's correct. Another approach is given in my previous post.
_________________

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 [?]: 124396 [0], given: 12078

GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 09 Sep 2013
Posts: 17594

Kudos [?]: 270 [0], given: 0

Premium Member
Re: Four staff members at a certain company worked on a project [#permalink]

Show Tags

New post 12 Sep 2013, 09:41
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________

GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

Kudos [?]: 270 [0], given: 0

1 KUDOS received
Senior Manager
Senior Manager
avatar
Joined: 29 Oct 2013
Posts: 296

Kudos [?]: 461 [1], given: 197

Concentration: Finance
GPA: 3.7
WE: Corporate Finance (Retail Banking)
GMAT ToolKit User
Re: Four staff members at a certain company worked on a project [#permalink]

Show Tags

New post 19 May 2014, 23:57
1
This post received
KUDOS
Bunuel, 29% got it wrong. Is it sub600? thanks
_________________

Please contact me for super inexpensive quality private tutoring

My journey V46 and 750 -> http://gmatclub.com/forum/my-journey-to-46-on-verbal-750overall-171722.html#p1367876

Kudos [?]: 461 [1], given: 197

Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 41682

Kudos [?]: 124396 [0], given: 12078

Re: Four staff members at a certain company worked on a project [#permalink]

Show Tags

New post 20 May 2014, 00:51

Kudos [?]: 124396 [0], given: 12078

Manager
Manager
avatar
Joined: 13 Dec 2013
Posts: 55

Kudos [?]: 5 [0], given: 21

GPA: 2.71
GMAT ToolKit User
Re: Four staff members at a certain company worked on a project [#permalink]

Show Tags

New post 13 Nov 2014, 08:35
Bunuel wrote:
BANON wrote:
Four staff members at a certain company worked on a project. The amounts of time that the four staff members worked on the project were in the ratio 2 to 3 to 5 to 6. If one of the four staff members worked on the project for 30 hours, which of the following CANNOT be the total number of hours that the four staff members worked on the project?

A. 80
B. 96
C. 160
D. 192
E. 240


A:B:C:D=2x:3x:5x:6x, for some positive number x. Total time 2x+3x+5x+6x=16x.

If 2x = 30 then 16x = 240;
If 3x = 30 then 16x = 160;
If 5x = 30 then 16x = 96;
If 6x = 30 then 16x = 80;

Only answer choices which is not obtained is 192.

Answer: D.



Thanks Brunel :)

Just a thought, I used the same concept but only used the last digits

If 2x = 30 then 16x = 240; (eliminate 240,160 and 80)
If 3x = 30 then 16x = 160;
If 5x = 30 then 16x = 96; (Eliminate 96)
If 6x = 30 then 16x = 80;

You can then deduce the answer quicker

Cheers

Kudos [?]: 5 [0], given: 21

SVP
SVP
User avatar
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1854

Kudos [?]: 2521 [0], given: 193

Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)
Re: Four staff members at a certain company worked on a project [#permalink]

Show Tags

New post 13 Nov 2014, 22:25
Answer = D = 192

Ratio = 2x:3x:5x:6x > Total = 16x

Any one has worked for 30 Hrs. We have to check condition for all 4.

So, multiple 30 * 16 = 480

The given OA should divide 480 properly; the result should come up anything of 2, 3, 5, 6

only 192 is unable to divide
_________________

Kindly press "+1 Kudos" to appreciate :)

Kudos [?]: 2521 [0], given: 193

Director
Director
User avatar
Status: No dream is too large, no dreamer is too small
Joined: 14 Jul 2010
Posts: 624

Kudos [?]: 1114 [0], given: 39

Four staff members at a certain company worked on a project. The [#permalink]

Show Tags

New post 11 Apr 2015, 08:33
According to the question
2:3:5:6 [Dividing by 2]
1:3:5:3 [now dividing by 3]
1:1:5:1

Now adding the ratios : 1+1+5+1 = 8
All the options is divisible by 8 except 192, Thus Answer is D. Please write I did wrong.
_________________

Collections:-
PSof OG solved by GC members: http://gmatclub.com/forum/collection-ps-with-solution-from-gmatclub-110005.html
DS of OG solved by GC members: http://gmatclub.com/forum/collection-ds-with-solution-from-gmatclub-110004.html
100 GMAT PREP Quantitative collection http://gmatclub.com/forum/gmat-prep-problem-collections-114358.html
Collections of work/rate problems with solutions http://gmatclub.com/forum/collections-of-work-rate-problem-with-solutions-118919.html
Mixture problems in a file with best solutions: http://gmatclub.com/forum/mixture-problems-with-best-and-easy-solutions-all-together-124644.html

Kudos [?]: 1114 [0], given: 39

GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 09 Sep 2013
Posts: 17594

Kudos [?]: 270 [0], given: 0

Premium Member
Re: Four staff members at a certain company worked on a project [#permalink]

Show Tags

New post 12 Apr 2016, 23:03
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________

GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

Kudos [?]: 270 [0], given: 0

Expert Post
1 KUDOS received
Target Test Prep Representative
User avatar
S
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 1525

Kudos [?]: 769 [1], given: 2

Location: United States (CA)
Re: Four staff members at a certain company worked on a project [#permalink]

Show Tags

New post 02 May 2016, 09:03
1
This post received
KUDOS
Expert's post
1
This post was
BOOKMARKED
BANON wrote:
Four staff members at a certain company worked on a project. The amounts of time that the four staff members worked on the project were in the ratio 2 to 3 to 5 to 6. If one of the four staff members worked on the project for 30 hours, which of the following CANNOT be the total number of hours that the four staff members worked on the project?

A. 80
B. 96
C. 160
D. 192
E. 240


Solution:

We are given that the amounts of time that the four members worked on the project were in the ratio 2 to 3 to 5 to 6. A straightforward approach is to create a ratio with x multipliers. The ratio becomes: 2x : 3x : 5x : 6x, where 2x was person 1’s time, 3x was person 2’s time, 5x was person 3’s time, and 6x was person 4’s time.

From this information, we can determine that the total time worked by all the members is the sum of our ratios: 2x + 3x + 5x + 6x = 16x.

We are also given that one of the members worked for 30 hours. Thus, we can create 4 different equations to get 4 different possible x values.

Option 1) If Person 1 was the individual who worked 30 hours, then 2x = 30 and x = 15

Option 2) If Person 2 was the individual who worked 30 hours, then 3x = 30 and x = 10

Option 3) If Person 3 was the individual who worked 30 hours, then 5x = 30 and x = 6

Option 4) If Person 4 was the individual who worked 30 hours, then 6x = 30 and x = 5

The above results show the 4 different options for the total number of hours an individual staff member worked.

Now, remember that the entire group worked for 16x hours. We substitute each of the 4 possible values for x into this expression:

Option 1: 16x = (16) (15) = 240 hours

Option 2: 16x = (16) (10) = 160 hours

Option 3: 16x = (16) (6) = 96 hours

Option 4: 16x = (16) (5) = 80 hours

The only value that we did not get was 192 hours, so D is the correct answer.
_________________

Scott Woodbury-Stewart
Founder and CEO

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

Kudos [?]: 769 [1], given: 2

1 KUDOS received
Senior Manager
Senior Manager
User avatar
S
Status: Professional GMAT Tutor
Affiliations: AB, cum laude, Harvard University (Class of '02)
Joined: 10 Jul 2015
Posts: 393

Kudos [?]: 459 [1], given: 53

Location: United States (CA)
Age: 37
GMAT 1: 770 Q47 V48
GMAT 2: 730 Q44 V47
GMAT 3: 750 Q50 V42
GRE 1: 337 Q168 V169
WE: Education (Education)
Re: Four staff members at a certain company worked on a project [#permalink]

Show Tags

New post 10 May 2016, 18:22
1
This post received
KUDOS
Attached is a visual that should help.
Attachments

Screen Shot 2016-05-10 at 5.52.54 PM.png
Screen Shot 2016-05-10 at 5.52.54 PM.png [ 56.16 KiB | Viewed 6719 times ]


_________________

Harvard grad and 770 GMAT scorer, offering high-quality private GMAT tutoring, both in-person and via Skype, since 2002.

McElroy Tutoring

Kudos [?]: 459 [1], given: 53

Manager
Manager
avatar
B
Joined: 02 Sep 2015
Posts: 54

Kudos [?]: 10 [0], given: 32

Location: United States
GMAT 1: 760 Q49 V44
GPA: 3.97
WE: Project Management (Energy and Utilities)
Reviews Badge
Re: Four staff members at a certain company worked on a project [#permalink]

Show Tags

New post 03 Jun 2016, 21:50
2:3:5:6 is the ratio of hours that the four employees worked. This means that:
1 employee worked 2/16 of the total hours
1 employee worked 3/16 of the total hours
1 employee worked 5/16 of the total hours
1 employee worked 6/16 of the total hours

Knowing this, we can divide 30 by the answer choices to make sure it matches up with one of the above. Essentially I plugged in to find the solution to this problem.

A.) 30 hours/ 80 total hours = 6/16 which is good
B.) 30 hours/ 96 total hours = 5/16 which is good
C.) 30 hours/160 total hours = 3/16 which is good

At this point I know the answer is either C or D, and I do not like the idea of plugging in D.) so I skip straight to E.)
E.) 30 hours/240 total hours = 2/16 which is good ---> the answer is D.)

Kudos [?]: 10 [0], given: 32

Intern
Intern
avatar
B
Joined: 24 May 2016
Posts: 19

Kudos [?]: 7 [0], given: 163

Location: Germany
Concentration: International Business, General Management
GMAT ToolKit User
Re: Four staff members at a certain company worked on a project [#permalink]

Show Tags

New post 03 Jun 2017, 00:57
1
This post was
BOOKMARKED
Brute Force:
You know the ratio is 2x:3x:5x:6x =16x
Now you can set 16x equal to all the answer options and see which one when you calculate through the options yields 30. So each option except one does contain one member that worked 30 hours.
For A) x yields 5 so 6*5=30 -->wrong
B) x yields 6 5*6= 30 -->wrong
C) x yields 10 3*10=30 --> wrong
D) x yields 12 when you calculate through you see nothing yields 30 --> bingo
E) x yields 15 2*15 =30 -->wrong
The moment you figured out D does not yield a 30 you can stop working

Kudos [?]: 7 [0], given: 163

Re: Four staff members at a certain company worked on a project   [#permalink] 03 Jun 2017, 00:57
    Similar topics Author Replies Last post
Similar
Topics:
1 EXPERTS_POSTS_IN_THIS_TOPIC A company consists of 5 senior and 3 junior staff officers. If a Bunuel 9 10 Apr 2017, 00:39
7 EXPERTS_POSTS_IN_THIS_TOPIC Company K has an annual budget for a certain project, and 1/5 of this udaymathapati 5 10 Sep 2017, 12:56
1 EXPERTS_POSTS_IN_THIS_TOPIC A manufacturing company employs staff.work full or part time MichelleSavina 3 20 Mar 2016, 07:39
8 EXPERTS_POSTS_IN_THIS_TOPIC There are 2 kinds of staff members in a certain company, PART TIME AND Alchemist1320 10 04 Aug 2017, 08:00
47 EXPERTS_POSTS_IN_THIS_TOPIC Four staff members at a certain company worked on a project. Bunuel 15 11 Mar 2017, 13:52
Display posts from previous: Sort by

Four staff members at a certain company worked on a project

  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®.