Four staff members at a certain company worked on a project. : GMAT Problem Solving (PS)
Check GMAT Club Decision Tracker for the Latest School Decision Releases http://gmatclub.com/AppTrack

 It is currently 18 Jan 2017, 06:43

### 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

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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# Four staff members at a certain company worked on a project.

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 36545
Followers: 7075

Kudos [?]: 93078 [4] , given: 10542

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

### Show Tags

08 Oct 2012, 00:47
4
KUDOS
Expert's post
14
This post was
BOOKMARKED
00:00

Difficulty:

35% (medium)

Question Stats:

72% (02:58) correct 28% (02:04) wrong based on 877 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

Practice Questions
Question: 56
Page: 159
Difficulty: 600
[Reveal] Spoiler: OA

_________________
Math Expert
Joined: 02 Sep 2009
Posts: 36545
Followers: 7075

Kudos [?]: 93078 [0], given: 10542

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

### Show Tags

08 Oct 2012, 00:48
Expert's post
13
This post was
BOOKMARKED
SOLUTION

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.

_________________
Director
Joined: 24 Aug 2009
Posts: 507
Schools: Harvard, Columbia, Stern, Booth, LSB,
Followers: 17

Kudos [?]: 674 [3] , given: 276

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

### Show Tags

08 Oct 2012, 01:59
3
KUDOS
Let the time taken is 2x, 3x , 5x & 6x
Total time taken 16x
Any one of 2x, 3x , 5x & 6x equals 30 .
So 16x can take any of the below mentioned values -
30*16/2 , 30*16/3, 30*16/5 , 30*16/6
240 , 160, 96, 80
_________________

If you like my Question/Explanation or the contribution, Kindly appreciate by pressing KUDOS.
Kudos always maximizes GMATCLUB worth
-Game Theory

If you have any question regarding my post, kindly pm me or else I won't be able to reply

Senior Manager
Joined: 15 Jun 2010
Posts: 368
Schools: IE'14, ISB'14, Kellogg'15
WE 1: 7 Yrs in Automobile (Commercial Vehicle industry)
Followers: 11

Kudos [?]: 368 [2] , given: 50

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

### Show Tags

08 Oct 2012, 02:31
2
KUDOS
Let the time taken as 2x, 3x , 5x & 6x
Total time taken 16x
Any one of 2x, 3x , 5x & 6x equals 30 and x can be 15, 10, 6 and 5 respectively.
Now for all values of X (15,10,6 & 5) 16x will be
= 16*15 = 240 (E)
= 16*10 = 160 (C)
= 16*6 = 96 (B)
= 16*5 =80 (A)

_________________

Regards
SD
-----------------------------
Press Kudos if you like my post.
Debrief 610-540-580-710(Long Journey): http://gmatclub.com/forum/from-600-540-580-710-finally-achieved-in-4th-attempt-142456.html

Senior Manager
Joined: 06 Aug 2011
Posts: 405
Followers: 2

Kudos [?]: 190 [1] , given: 82

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

### Show Tags

08 Oct 2012, 09:19
1
KUDOS
Ohh 13 the edition question luk little trickier than 12th...i didnt buy 13th yet..

well.. +1 to all above me

very nice question bunuel ..

2x, 3x, 5x, 6x...sum=16x

we r taking X as total no of hours..

2/16x=30 ...x=240

3/16x=30=then x can be =160

5/16x= 30 ...then x can be =96

6/16x= 30..then x can be =80..

D is the only choice which can not X value..
_________________

Bole So Nehal.. Sat Siri Akal.. Waheguru ji help me to get 700+ score !

Director
Status: Done with formalities.. and back..
Joined: 15 Sep 2012
Posts: 647
Location: India
Concentration: Strategy, General Management
Schools: Olin - Wash U - Class of 2015
WE: Information Technology (Computer Software)
Followers: 46

Kudos [?]: 546 [2] , given: 23

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

### Show Tags

09 Oct 2012, 20:57
2
KUDOS
Four members worked in ration 2:3:5:6, hence as everyone mentioned, individual work could be taken as 2x, 3x,5x, and 6x. Also this gives us total work as 16x.
But we are told that one of these individual works is 30hrs. hence, possible scenarios, if
(1)2x =30 => 16x = 240 (2) 3x =30 => 16x = 160 (3) 5x =30 => 16x = 96 (4) 6x =30 => 16x = 80
Hence Answer is D 192 which can not be any of these.
Another alternate is to backsolve,
for options A to E, Answer/16 should give us a multiplication factor (which is denoted by x in first solution). Since this multiplication factor should be present for individual work also, 30 should be divisible by this to give individual work ratio of any out of 2,3,5,6.
eg. 80/16 =5 and 30/5 =6 or 240/16=15 and 30/15=2, but 192/16=12 and 30/12 =2.5 (not one of the ratios)
This leaves us with choice D again.

Bunuel wrote:
The Official Guide for GMAT® Review, 13th Edition - Quantitative Questions Project

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

Practice Questions
Question: 56
Page: 159
Difficulty: 600

GMAT Club is introducing a new project: The Official Guide for GMAT® Review, 13th Edition - Quantitative Questions Project

Each week we'll be posting several questions from The Official Guide for GMAT® Review, 13th Edition and then after couple of days we'll provide Official Answer (OA) to them along with a slution.

We'll be glad if you participate in development of this project:
2. Please vote for the best solutions by pressing Kudos button;
3. Please vote for the questions themselves by pressing Kudos button;
4. Please share your views on difficulty level of the questions, so that we have most precise evaluation.

Thank you!

_________________

Lets Kudos!!!
Black Friday Debrief

Math Expert
Joined: 02 Sep 2009
Posts: 36545
Followers: 7075

Kudos [?]: 93078 [0], given: 10542

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

### Show Tags

11 Oct 2012, 12:15
SOLUTION

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.

Kudos points given to everyone with correct solution. Let me know if I missed someone.
_________________
Intern
Joined: 04 Aug 2009
Posts: 10
Followers: 0

Kudos [?]: 3 [1] , given: 1

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

### Show Tags

11 Oct 2012, 13:41
1
KUDOS
Hi Bunuel,

If we change this question to say that the ratios are still the same i.e 2, 3, 5 and 6 but the prompt says that the the sum of the hours worked by two of the workers is 121 and then we are asked to find the sum of total hours worked by all the workers. Would this be still a valid variation provided we restrict the number of hours in integers only?

Math Expert
Joined: 02 Sep 2009
Posts: 36545
Followers: 7075

Kudos [?]: 93078 [0], given: 10542

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

### Show Tags

11 Oct 2012, 13:51
Hi Bunuel,

If we change this question to say that the ratios are still the same i.e 2, 3, 5 and 6 but the prompt says that the the sum of the hours worked by two of the workers is 121 and then we are asked to find the sum of total hours worked by all the workers. Would this be still a valid variation provided we restrict the number of hours in integers only?

Yes.

Given: A:B:C:D=2x:3x:5x:6x, for some positive integer x and the sum of the hours worked by two of the workers is 121.

Since the only sum which gives integer value for x is 5x+6x=121 --> x=11, then total time is 16x=16*11.

Hope it helps.
_________________
Director
Status: Final Countdown
Joined: 17 Mar 2010
Posts: 563
Location: India
GPA: 3.82
WE: Account Management (Retail Banking)
Followers: 17

Kudos [?]: 278 [1] , given: 75

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

### Show Tags

12 Oct 2012, 00:23
1
KUDOS
Given Ratios- 2:3:5:6
2x+3x+4x+5x=16x
lets check one by one with ACs, and when we come to D;
16x=192
=>x=12
if you put x= 12 in any individual's value (2x,3x,5x,6x) 30 can not be acheived.

_________________

" Make more efforts "
Press Kudos if you liked my post

GMAT Club Legend
Joined: 09 Sep 2013
Posts: 13436
Followers: 575

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

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

### Show Tags

25 Jun 2014, 20:36
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.
_________________
Manager
Joined: 07 Apr 2014
Posts: 147
Followers: 1

Kudos [?]: 23 [0], given: 81

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

### Show Tags

10 Sep 2014, 20:47
Bunuel 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

Practice Questions
Question: 56
Page: 159
Difficulty: 600

2x:3x:5x:6x

x could be 15, 10,5,6..

2x+3x+5x+6x=16x

apply x

192 is a odd man out
GMAT Club Legend
Joined: 09 Sep 2013
Posts: 13436
Followers: 575

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

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

### Show Tags

01 Oct 2015, 20:56
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.
_________________
Re: Four staff members at a certain company worked on a project.   [#permalink] 01 Oct 2015, 20:56
Similar topics Replies Last post
Similar
Topics:
19 Four staff members at a certain company worked on a project 13 27 Feb 2012, 09:03
1 Four staff members at a certain company worked on a project. 1 12 Aug 2011, 12:15
2 There are 2 kinds of staff members in a certain company, PART TIME AND 5 10 Jul 2011, 19:35
1 A manufacturing company employs staff.work full or part time 3 23 Jan 2011, 01:57
6 Company K has an annual budget for a certain project, and 1/5 of this 4 23 Aug 2010, 07:47
Display posts from previous: Sort by