Author 
Message 
TAGS:

Hide Tags

Director
Joined: 23 Sep 2015
Posts: 503

At Gallicum Enterprises, all employees are in one of three categories: [#permalink]
Show Tags
31 May 2018, 05:27
Question Stats:
80% (01:27) correct 20% (01:45) wrong based on 44 sessions
HideShow timer Statistics
At Gallicum Enterprises, all employees are in one of three categories: J, K, or L. The ratio of the numbers of employees in J to K to L has been 1:3:5 for some time. Last month, 20 new J employees were hired, and no employees left. If the new ratio of J to K is now 1:2 with these new J employees, what is the new total number of employees at Gallicum Enterprises? A. 180 B. 240 C. 260 D. 320 E. 380
Official Answer and Stats are available only to registered users. Register/ Login.
_________________
Thanks! Do give some kudos.
Best Gmat Resource: GmatPrep CRGmatPrep SCGmatPrep RC



Manager
Joined: 28 Nov 2017
Posts: 143
Location: Uzbekistan

At Gallicum Enterprises, all employees are in one of three categories: [#permalink]
Show Tags
31 May 2018, 05:58
aragonn wrote: At Gallicum Enterprises, all employees are in one of three categories: J, K, or L. The ratio of the numbers of employees in J to K to L has been 1:3:5 for some time. Last month, 20 new J employees were hired, and no employees left. If the new ratio of J to K is now 1:2 with these new J employees, what is the new total number of employees at Gallicum Enterprises?
A. 180 B. 240 C. 260 D. 320 E. 380 Initial number of \(J\), \(K\) and \(L\) employees is \(x\), \(3x\) and \(5x\) respectively. New number of \(J\), \(K\) and \(L\) employees is \(x+20\), \(3x\) and \(5x\) respectively. Question stem says that \(\frac{x+20}{3x}=\frac{1}{2}\). So, \(x=40\). New total number of employees is \(x+3x+5x+20=9*40+20=380\). Answer: E
_________________
Kindest Regards! Tulkin.



BSchool Forum Moderator
Joined: 26 Feb 2016
Posts: 2807
Location: India
GPA: 3.12

Re: At Gallicum Enterprises, all employees are in one of three categories: [#permalink]
Show Tags
31 May 2018, 06:09
aragonn wrote: At Gallicum Enterprises, all employees are in one of three categories: J, K, or L. The ratio of the numbers of employees in J to K to L has been 1:3:5 for some time. Last month, 20 new J employees were hired, and no employees left. If the new ratio of J to K is now 1:2 with these new J employees, what is the new total number of employees at Gallicum Enterprises?
A. 180 B. 240 C. 260 D. 320 E. 380 If we reduce each of the answer options by 20 employees who have joined last month, the number of employees must be divisible by 1+3+5 = 9 Testing answer options A. 180  20 = \(\frac{160}{9}\) = Not an integer B. 240  20 = \(\frac{220}{9}\) = Not an integer C. 260  20 = \(\frac{240}{9}\) = Not an integer D. 320  20 = \(\frac{300}{9}\) = Not an integerE. 380  20 = \(\frac{360}{9}\) = Integer (Option E)
_________________
You've got what it takes, but it will take everything you've got



Director
Joined: 23 Sep 2015
Posts: 503

Re: At Gallicum Enterprises, all employees are in one of three categories: [#permalink]
Show Tags
31 May 2018, 06:18
pushpitkc wrote: If we reduce each of the answer options by 20 employees who have joined last month, the number of employees must be divisible by 1+3+5 = 9
Testing answer options A. 180  20 = \(\frac{160}{9}\) = Not an integer B. 240  20 = \(\frac{220}{9}\) = Not an integer C. 260  20 = \(\frac{240}{9}\) = Not an integer D. 320  20 = \(\frac{300}{9}\) = Not an integer E. 380  20 = \(\frac{360}{9}\) = Integer (Option E) Interesting answer, I haven't thought about this one. good learning for sure.
_________________
Thanks! Do give some kudos.
Best Gmat Resource: GmatPrep CRGmatPrep SCGmatPrep RC



Intern
Joined: 02 May 2018
Posts: 15

At Gallicum Enterprises, all employees are in one of three categories: [#permalink]
Show Tags
31 May 2018, 11:15
This one is a Reverse Plugging In question.
We can see that the parts J, K and L add up to 9. Thus, the initial total number of employees should be divisible by 9.
Subtract the amount of newcomers (20) from the answer choices and get the following numbers: 160, 220, 240, 300, 360. Clearly, only 360 is divisible by 9 out of these 5 numbers.
Just to be sure, it may be wise to check the option. If there are 360 total employees, then there are \(\frac{1}{9}*360 = 40\) employees working for J. Consequently, \(40* 3 = 120\) and \(40 * 5 = 200\) employees working for K and L respectively.
If we add 20 employees to the J division, the number of employees in J is 60. Hence the new ration of J to K is indeed 1:2, because 60:120 is 1:2. Thus, E is the correct answer.



Target Test Prep Representative
Status: Head GMAT Instructor
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2570

Re: At Gallicum Enterprises, all employees are in one of three categories: [#permalink]
Show Tags
01 Jun 2018, 11:19
aragonn wrote: At Gallicum Enterprises, all employees are in one of three categories: J, K, or L. The ratio of the numbers of employees in J to K to L has been 1:3:5 for some time. Last month, 20 new J employees were hired, and no employees left. If the new ratio of J to K is now 1:2 with these new J employees, what is the new total number of employees at Gallicum Enterprises?
A. 180 B. 240 C. 260 D. 320 E. 380 We have the ratio of: J : K : L = x : 3x : 5x, and so the original total number of employees is x + 3x + 5x = 9x. Last month, 20 new J employees were hired, and no employees left, and the new ratio of J to K is 1:2 with these new J employees: (x + 20)/3x = 1/2 2(x + 20) = 3x 2x + 40 = 3x x = 40 The original number of employees was 9x = 9(40) = 360. So the new number of employees is 360 + 20 = 380, Answer: E
_________________
Jeffery Miller
Head of GMAT Instruction
GMAT Quant SelfStudy Course
500+ lessons 3000+ practice problems 800+ HD solutions




Re: At Gallicum Enterprises, all employees are in one of three categories:
[#permalink]
01 Jun 2018, 11:19






