Author 
Message 
TAGS:

Hide Tags

Manager
Joined: 02 Dec 2012
Posts: 178

Of 30 applicants for a job, 14 had at least 4 years'
[#permalink]
Show Tags
20 Dec 2012, 08:26
Question Stats:
89% (01:23) correct 11% (01:49) wrong based on 852 sessions
HideShow timer Statistics
Of 30 applicants for a job, 14 had at least 4 years' experience, 18 had degrees, and 3 had less than 4 years' experience and did not have a degree. How many of the applicants had at least 4 years' experience and a degree? (A) 14 (B) 13 (C) 9 (D) 7 (E) 5
Official Answer and Stats are available only to registered users. Register/ Login.




Intern
Joined: 21 Mar 2013
Posts: 1

Of 30 applicants for a job, 14 had at least 4 years' experience,
[#permalink]
Show Tags
14 May 2013, 16:27
Step 1: assign variables to each of the data points provided in the question so that they correspond to the OVERLAPPING SETS formula:
30 = Total Applicants = T 14 = Applicants with 4 yrs exp = G1 18 = Applicants with degrees = G2 3 = Applicants with NEITHER 4yrs exp nor degrees = NONE ?? = Applicants with BOTH 4yrs exp AND degrees = BOTH
Step 2: recall the formula for overlapping sets with 2 groups: Total = G1 + G2  BOTH + NONE
Step 3: Plug and chug the variables that we just assigned to solve for BOTH: T = G1 + G2  BOTH + NONE 30 = 14 + 18  BOTH + 3 30 = 35  BOTH 5 = BOTH 5 = BOTH
Correct Answer = E




Math Expert
Joined: 02 Sep 2009
Posts: 49430

Re: Of 30 applicants for a job, 14 had at least 4 years'
[#permalink]
Show Tags
20 Dec 2012, 08:28



Intern
Joined: 05 Mar 2013
Posts: 44
Location: India
Concentration: Entrepreneurship, Marketing
GMAT Date: 06052013
GPA: 3.2

Re: Of 30 applicants for a job, 14 had at least 4 years'
[#permalink]
Show Tags
14 May 2013, 17:40
albertrahul wrote: Of 30 applicants for a job, 14 had at least 4 years' experience, 18 had degrees, and 3 had less than 4 years' experience and did not have a degree. How many of the applicants had at least 4 years' experience and a degree.
(A) 14 (B) 13 (C) 9 (D) 7 (E) 5
Let's discuss. The set of 30 applicants is a square. Applicants who have less than four years experience and also have no degree are outside both the circles. = 3 applicants. Left circle denotes the number of applicants with at least 4years experience = A. Right circle denotes the number of applicants with degrees = B. Now number of applicants in both the circles should be 30  3. ie 27. This 27 is equal to A + B  A intersection B. We have to find A intersection B. 27 = 14 + 18  A intersection B which gives A intersection B as 5
_________________
"Kudos" will help me a lot!!!!!!Please donate some!!!
Completed Official Quant Review OG  Quant
In Progress Official Verbal Review OG 13th ed MGMAT IR AWA Structure
Yet to do 100 700+ SC questions MR Verbal MR Quant
Verbal is a ghost. Cant find head and tail of it.



Board of Directors
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 4033
Location: India
GPA: 3.5
WE: Business Development (Commercial Banking)

Re: Of 30 applicants for a job, 14 had at least 4 years'
[#permalink]
Show Tags
19 Nov 2015, 11:12
Walkabout wrote: Of 30 applicants for a job, 14 had at least 4 years' experience, 18 had degrees, and 3 had less than 4 years' experience and did not have a degree. How many of the applicants had at least 4 years' experience and a degree?
(A) 14 (B) 13 (C) 9 (D) 7 (E) 5 Working same as Bunuel, still sahring
Attachments
Degree and Experience.PNG [ 3.69 KiB  Viewed 7549 times ]
_________________
Thanks and Regards
Abhishek....
PLEASE FOLLOW THE RULES FOR POSTING IN QA AND VA FORUM AND USE SEARCH FUNCTION BEFORE POSTING NEW QUESTIONS
How to use Search Function in GMAT Club  Rules for Posting in QA forum  Writing Mathematical Formulas Rules for Posting in VA forum  Request Expert's Reply ( VA Forum Only )



EMPOWERgmat Instructor
Status: GMAT Assassin/CoFounder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 12443
Location: United States (CA)

Re: Of 30 applicants for a job, 14 had at least 4 years'
[#permalink]
Show Tags
19 Nov 2015, 17:19
Hi BlueDragon2010, Each of the responses presents a variation on the solution. Here's one that uses the TicTacToe board. The initial 3x3 grid contains the information given by the prompt. The second 3x3 grid contains the first set of deductions (the subtotals, in blue), followed by the subgroups (in green). http://postimg.org/image/h4gg5bmu5/ The answer to the question is in the upperleft corner: GMAT assassins aren't born, they're made, Rich
_________________
760+: Learn What GMAT Assassins Do to Score at the Highest Levels Contact Rich at: Rich.C@empowergmat.com
Rich Cohen
CoFounder & GMAT Assassin
Special Offer: Save $75 + GMAT Club Tests Free
Official GMAT Exam Packs + 70 Pt. Improvement Guarantee www.empowergmat.com/
***********************Select EMPOWERgmat Courses now include ALL 6 Official GMAC CATs!***********************



Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 3528
Location: United States (CA)

Re: Of 30 applicants for a job, 14 had at least 4 years'
[#permalink]
Show Tags
07 Jul 2016, 09:24
Walkabout wrote: Of 30 applicants for a job, 14 had at least 4 years' experience, 18 had degrees, and 3 had less than 4 years' experience and did not have a degree. How many of the applicants had at least 4 years' experience and a degree?
(A) 14 (B) 13 (C) 9 (D) 7 (E) 5 For this we can setup a table with 2 main categories: years of experience and degrees. These can be broken down further into: 1) Had at least 4 years of experience 2) Had less than 4 years of experience 3) Had a degree 4) Did not have a degree In addition we are given the following information: 1) There are 30 total applicants 2) 14 applicants had at least 4 years of experience 3) 18 applicants had degrees 4) 3 applicants had less than 4 years of experience and did not have a degree Let’s fill all this information into a table. We can use the information to fill in the rest of the chart. Remember the “Total” label in each column or row represents the sum of the preceding two cells in each column or row, respectively. We are asked how many of the applicants had at least 4 years' experience and a degree. We can see from our table that the answer is 5. Answer is E.
_________________
Scott WoodburyStewart
Founder and CEO
GMAT Quant SelfStudy Course
500+ lessons 3000+ practice problems 800+ HD solutions



Director
Joined: 09 Mar 2016
Posts: 884

Of 30 applicants for a job, 14 had at least 4 years'
[#permalink]
Show Tags
07 Mar 2018, 12:15
Walkabout wrote: Of 30 applicants for a job, 14 had at least 4 years' experience, 18 had degrees, and 3 had less than 4 years' experience and did not have a degree. How many of the applicants had at least 4 years' experience and a degree?
(A) 14 (B) 13 (C) 9 (D) 7 (E) 5 can anyone tell me whats wrong with my solution? or is it correct? ? \(14+18+32x=30\) \(352x=30\) \(5 = 2x\) chetan2u hello, can please tell me if my solution is correct? it seems like i got 5, but if solve the last part to the end, then i will have x = 2.5 niks18 hello perhaps you have idea?
_________________
In English I speak with a dictionary, and with people I am shy.



PS Forum Moderator
Joined: 25 Feb 2013
Posts: 1217
Location: India
GPA: 3.82

Re: Of 30 applicants for a job, 14 had at least 4 years'
[#permalink]
Show Tags
10 Mar 2018, 11:35
dave13 wrote: Walkabout wrote: Of 30 applicants for a job, 14 had at least 4 years' experience, 18 had degrees, and 3 had less than 4 years' experience and did not have a degree. How many of the applicants had at least 4 years' experience and a degree?
(A) 14 (B) 13 (C) 9 (D) 7 (E) 5 can anyone tell me whats wrong with my solution? or is it correct? ? \(14+18+32x=30\) \(352x=30\) \(5 = 2x\) chetan2u hello, can please tell me if my solution is correct? it seems like i got 5, but if solve the last part to the end, then i will have x = 2.5 niks18 hello perhaps you have idea? Hi dave13what is your logic behind "2x"? what is "x" and why "2x" ?



Director
Joined: 09 Mar 2016
Posts: 884

Of 30 applicants for a job, 14 had at least 4 years'
[#permalink]
Show Tags
11 Mar 2018, 03:20
niks18 wrote: dave13 wrote: Walkabout wrote: Of 30 applicants for a job, 14 had at least 4 years' experience, 18 had degrees, and 3 had less than 4 years' experience and did not have a degree. How many of the applicants had at least 4 years' experience and a degree?
(A) 14 (B) 13 (C) 9 (D) 7 (E) 5 can anyone tell me whats wrong with my solution? or is it correct? ? \(14+18+32x=30\) \(352x=30\) \(5 = 2x\) chetan2u hello, can please tell me if my solution is correct? it seems like i got 5, but if solve the last part to the end, then i will have x = 2.5 niks18 hello perhaps you have idea? Hi dave13what is your logic behind "2x"? what is "x" and why "2x" ? Hi niks18, thanks for a nice question i am more than happy to explain let me explain my logic total applicants 30 14 at least have 4 years` experience 18  have degrees 3  had less than 4 years experience and dont have experinence now question: How many of the applicants had at least 4 years' experience and a degree ? hence let number of applicants who had both at least 4 yrs experience and a degree be 2x (why 2 and not just x because it says both hence x+x = 2x ) please advice have a fantastic day
_________________
In English I speak with a dictionary, and with people I am shy.



PS Forum Moderator
Joined: 25 Feb 2013
Posts: 1217
Location: India
GPA: 3.82

Re: Of 30 applicants for a job, 14 had at least 4 years'
[#permalink]
Show Tags
11 Mar 2018, 03:38
dave13 wrote: Hi niks18, thanks for a nice question i am more than happy to explain let me explain my logic total applicants 30 14 at least have 4 years` experience 18  have degrees 3  had less than 4 years experience and dont have experinence now question: How many of the applicants had at least 4 years' experience and a degree ? hence let number of applicants who had both at least 4 yrs experience and a degree be 2x (why 2 and not just x because it says both hence x+x = 2x ) please advice have a fantastic day \(x\) is a variable here and variable must represent only one particular unknown quantity. For any other unknown quantity you need to define a different variable. Here unknown quantity is number of people who have BOTH a degree and at least 4 years of experience. Same individual will posses both the characteristics.



Director
Joined: 09 Mar 2016
Posts: 884

Re: Of 30 applicants for a job, 14 had at least 4 years'
[#permalink]
Show Tags
11 Mar 2018, 04:23
niks18 wrote: dave13 wrote: Hi niks18, thanks for a nice question i am more than happy to explain let me explain my logic total applicants 30 14 at least have 4 years` experience 18  have degrees 3  had less than 4 years experience and dont have experinence now question: How many of the applicants had at least 4 years' experience and a degree ? hence let number of applicants who had both at least 4 yrs experience and a degree be 2x (why 2 and not just x because it says both hence x+x = 2x ) please advice have a fantastic day \(x\) is a variable here and variable must represent only one particular unknown quantity. For any other unknown quantity you need to define a different variable. Here unknown quantity is number of people who have BOTH a degree and at least 4 years of experience. Same individual will posses both the characteristics. ok i think now i got it thank you # of total applicants = \(30\) # of apllicants with at least have 4 years` experience = \(14\) # of applicants with degrees = \(18\) # of applicants had less than 4 years experience and dont have experinence = \(3\) # of applicants who had BOTH at least 4 years' experience and a degree = \(x\) \(14+18x+3=30\) \(35x=30\) \(5 = x\)
_________________
In English I speak with a dictionary, and with people I am shy.




Re: Of 30 applicants for a job, 14 had at least 4 years' &nbs
[#permalink]
11 Mar 2018, 04:23






