Author 
Message 
TAGS:

Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 49206

Four staff members at a certain company worked on a project.
[#permalink]
Show Tags
08 Oct 2012, 01:47
Question Stats:
77% (01:55) correct 23% (05:33) wrong based on 1083 sessions
HideShow timer Statistics




Math Expert
Joined: 02 Sep 2009
Posts: 49206

Re: Four staff members at a certain company worked on a project.
[#permalink]
Show Tags
08 Oct 2012, 01:48




Senior Manager
Joined: 24 Aug 2009
Posts: 476
Schools: Harvard, Columbia, Stern, Booth, LSB,

Re: Four staff members at a certain company worked on a project.
[#permalink]
Show Tags
08 Oct 2012, 02:59
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 Answer D
_________________
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: 329
Schools: IE'14, ISB'14, Kellogg'15
WE 1: 7 Yrs in Automobile (Commercial Vehicle industry)

Re: Four staff members at a certain company worked on a project.
[#permalink]
Show Tags
08 Oct 2012, 03:31
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) Hence Answer D
_________________
Regards SD  Press Kudos if you like my post. Debrief 610540580710(Long Journey): http://gmatclub.com/forum/from600540580710finallyachievedin4thattempt142456.html



Senior Manager
Joined: 06 Aug 2011
Posts: 349

Re: Four staff members at a certain company worked on a project.
[#permalink]
Show Tags
08 Oct 2012, 10:19
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: 611
Location: India
Concentration: Strategy, General Management
Schools: Olin  Wash U  Class of 2015
WE: Information Technology (Computer Software)

Re: Four staff members at a certain company worked on a project.
[#permalink]
Show Tags
09 Oct 2012, 21:57
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 ProjectFour 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 ProjectEach 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: 1. Please provide your solutions to the questions; 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



Intern
Joined: 04 Aug 2009
Posts: 10

Re: Four staff members at a certain company worked on a project.
[#permalink]
Show Tags
11 Oct 2012, 14:41
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?
Thanks in advance.



Math Expert
Joined: 02 Sep 2009
Posts: 49206

Re: Four staff members at a certain company worked on a project.
[#permalink]
Show Tags
11 Oct 2012, 14:51



Senior Manager
Status: Final Countdown
Joined: 17 Mar 2010
Posts: 479
Location: India
GPA: 3.82
WE: Account Management (Retail Banking)

Re: Four staff members at a certain company worked on a project.
[#permalink]
Show Tags
12 Oct 2012, 01:23
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. Answer : D
_________________
" Make more efforts " Press Kudos if you liked my post



Manager
Joined: 07 Apr 2014
Posts: 118

Re: Four staff members at a certain company worked on a project.
[#permalink]
Show Tags
10 Sep 2014, 21:47
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



Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 3484
Location: United States (CA)

Re: Four staff members at a certain company worked on a project.
[#permalink]
Show Tags
08 Feb 2017, 19:50
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 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, in which 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. Answer: D
_________________
Scott WoodburyStewart
Founder and CEO
GMAT Quant SelfStudy Course
500+ lessons 3000+ practice problems 800+ HD solutions



Manager
Joined: 03 Jan 2017
Posts: 174

Re: Four staff members at a certain company worked on a project.
[#permalink]
Show Tags
11 Mar 2017, 13:52
2:3:5:6 or total 16x lets test answer choices 30/one of the ratios. Answer is D: 192 can not be obtained



Manager
Joined: 31 Jul 2017
Posts: 121
Location: Tajikistan
Concentration: Finance, Economics
GPA: 3.85
WE: Accounting (Investment Banking)

Re: Four staff members at a certain company worked on a project.
[#permalink]
Show Tags
22 Jun 2018, 06:29
I tested each case to arrive to the answer. Case 1) 2:3:5:6 (assume 30 h is the least number of hours worked, then multiple is 15) 30:45:75:95, total number is 240 (cross E) Case 2) (assume 30 h is the second least number of hours worked, then multiple is 10) 2:3:5:6 20:30:50:60, total number of hours is 160 (cross C) Case 3) (assume 30 h is the second greatest number of hours worked, then multiple is 6) 2:3:5:6 12:18:30:36, total number of hours is 96 (cross B) Case 4) (assume 30 h is the greatest number of hours worked, then multiple is 5) 2:3:5:6 10:15:25:30, total number of hours is 80 (cross A). Now, we are left with D, which is the correct answer




Re: Four staff members at a certain company worked on a project. &nbs
[#permalink]
22 Jun 2018, 06:29






