Author 
Message 
TAGS:

Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 39753

Four staff members at a certain company worked on a project. [#permalink]
Show Tags
08 Oct 2012, 01:47
5
This post received KUDOS
Expert's post
16
This post was BOOKMARKED
Question Stats:
73% (02:56) correct
27% (02:04) wrong based on 1019 sessions
HideShow timer Statistics



Math Expert
Joined: 02 Sep 2009
Posts: 39753

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



Director
Joined: 24 Aug 2009
Posts: 503
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
3
This post received 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 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: 361
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
2
This post received 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) 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: 400

Re: Four staff members at a certain company worked on a project. [#permalink]
Show Tags
08 Oct 2012, 10:19
1
This post received 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: 640
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
2
This post received 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 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



Math Expert
Joined: 02 Sep 2009
Posts: 39753

Re: Four staff members at a certain company worked on a project. [#permalink]
Show Tags
11 Oct 2012, 13:15
SOLUTIONFour 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. Kudos points given to everyone with correct solution. Let me know if I missed someone.
_________________
New to the Math Forum? Please read this: 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? Extrahard Quant Tests with Brilliant Analytics



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
1
This post received 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?
Thanks in advance.



Math Expert
Joined: 02 Sep 2009
Posts: 39753

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



Director
Status: Final Countdown
Joined: 17 Mar 2010
Posts: 537
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
1
This post received 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. Answer : D
_________________
" Make more efforts " Press Kudos if you liked my post



GMAT Club Legend
Joined: 09 Sep 2013
Posts: 16024

Re: Four staff members at a certain company worked on a project. [#permalink]
Show Tags
25 Jun 2014, 21:36
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.
_________________
GMAT Books  GMAT Club Tests  Best Prices on GMAT Courses  GMAT Mobile App  Math Resources  Verbal Resources



Manager
Joined: 07 Apr 2014
Posts: 141

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



GMAT Club Legend
Joined: 09 Sep 2013
Posts: 16024

Re: Four staff members at a certain company worked on a project. [#permalink]
Show Tags
01 Oct 2015, 21:56
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.
_________________
GMAT Books  GMAT Club Tests  Best Prices on GMAT Courses  GMAT Mobile App  Math Resources  Verbal Resources



GMAT Club Legend
Joined: 09 Sep 2013
Posts: 16024

Re: Four staff members at a certain company worked on a project. [#permalink]
Show Tags
06 Feb 2017, 08:47
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



Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 1158
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: 201

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




Re: Four staff members at a certain company worked on a project.
[#permalink]
11 Mar 2017, 13:52







