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• ### $450 Tuition Credit & Official CAT Packs FREE February 15, 2019 February 15, 2019 10:00 PM EST 11:00 PM PST EMPOWERgmat is giving away the complete Official GMAT Exam Pack collection worth$100 with the 3 Month Pack ($299) • ### Free GMAT practice February 15, 2019 February 15, 2019 10:00 PM EST 11:00 PM PST Instead of wasting 3 months solving 5,000+ random GMAT questions, focus on just the 1,500 you need. # Of 30 applicants for a job, 14 had at least 4 years'  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics Author Message TAGS: ### Hide Tags Manager Joined: 02 Dec 2012 Posts: 174 Of 30 applicants for a job, 14 had at least 4 years' [#permalink] ### Show Tags 20 Dec 2012, 07:26 2 12 00:00 Difficulty: 5% (low) Question Stats: 90% (01:48) correct 10% (02:21) wrong based on 899 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 ##### Most Helpful Community Reply 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, 15:27 3 4 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 ##### General Discussion Math Expert Joined: 02 Sep 2009 Posts: 52905 Re: Of 30 applicants for a job, 14 had at least 4 years' [#permalink] ### Show Tags 20 Dec 2012, 07:28 3 1 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 Probably the easiest way to solve would be to make a matrix: Attachment: Experience.PNG [ 3.63 KiB | Viewed 15250 times ] Note: numbers in black are given and numbers in red are calculated. Answer: E. _________________ Intern Joined: 05 Mar 2013 Posts: 44 Location: India Concentration: Entrepreneurship, Marketing GMAT Date: 06-05-2013 GPA: 3.2 Re: Of 30 applicants for a job, 14 had at least 4 years' [#permalink] ### Show Tags 14 May 2013, 16:40 3 1 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: 4382 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, 10:12 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 8215 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/Co-Founder Affiliations: EMPOWERgmat Joined: 19 Dec 2014 Posts: 13536 Location: United States (CA) GMAT 1: 800 Q51 V49 GRE 1: Q170 V170 Re: Of 30 applicants for a job, 14 had at least 4 years' [#permalink] ### Show Tags 19 Nov 2015, 16:19 Hi BlueDragon2010, Each of the responses presents a variation on the solution. Here's one that uses the Tic-Tac-Toe board. The initial 3x3 grid contains the information given by the prompt. The second 3x3 grid contains the first set of deductions (the sub-totals, in blue), followed by the sub-groups (in green). http://postimg.org/image/h4gg5bmu5/ The answer to the question is in the upper-left 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 Co-Founder & GMAT Assassin Special Offer: Save$75 + GMAT Club Tests Free
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Re: Of 30 applicants for a job, 14 had at least 4 years'  [#permalink]

### Show Tags

07 Jul 2016, 08:24
1
1
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

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

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.

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VP
Joined: 09 Mar 2016
Posts: 1285
Of 30 applicants for a job, 14 had at least 4 years'  [#permalink]

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07 Mar 2018, 11:15
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? ?

$$14+18+3-2x=30$$

$$35-2x=30$$

$$5 = 2x$$

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?
Retired Moderator
Joined: 25 Feb 2013
Posts: 1216
Location: India
GPA: 3.82
Re: Of 30 applicants for a job, 14 had at least 4 years'  [#permalink]

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10 Mar 2018, 10:35
1
dave13 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? ?

$$14+18+3-2x=30$$

$$35-2x=30$$

$$5 = 2x$$

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 dave13

what is your logic behind "2x"? what is "x" and why "2x" ?
VP
Joined: 09 Mar 2016
Posts: 1285
Of 30 applicants for a job, 14 had at least 4 years'  [#permalink]

### Show Tags

11 Mar 2018, 02:20
niks18 wrote:
dave13 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? ?

$$14+18+3-2x=30$$

$$35-2x=30$$

$$5 = 2x$$

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 dave13

what 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 )

have a fantastic day
Retired Moderator
Joined: 25 Feb 2013
Posts: 1216
Location: India
GPA: 3.82
Re: Of 30 applicants for a job, 14 had at least 4 years'  [#permalink]

### Show Tags

11 Mar 2018, 02:38
1
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 )

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.
VP
Joined: 09 Mar 2016
Posts: 1285
Re: Of 30 applicants for a job, 14 had at least 4 years'  [#permalink]

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11 Mar 2018, 03:23
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 )

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 = $$x$$

$$14+18-x+3=30$$

$$35-x=30$$

$$5 = x$$
Re: Of 30 applicants for a job, 14 had at least 4 years'   [#permalink] 11 Mar 2018, 03:23
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