GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 24 Sep 2018, 08:45

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# Of 30 applicants for a job, 14 had at least 4 years'

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
2
11
00:00

Difficulty:

5% (low)

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
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
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

##### General Discussion
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
3
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

Probably the easiest way to solve would be to make a matrix:
Attachment:

Experience.PNG [ 3.63 KiB | Viewed 14365 times ]
Note: numbers in black are given and numbers in red are calculated.

_________________
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, 17:40
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: 4033
Location: India
GPA: 3.5
Re: Of 30 applicants for a job, 14 had at least 4 years'  [#permalink]

### Show Tags

19 Nov 2015, 11:12
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/Co-Founder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 12443
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, 17:19
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
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
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.

_________________

Scott Woodbury-Stewart
Founder and CEO

GMAT Quant Self-Study 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
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?
_________________

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
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" ?
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:
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
_________________

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
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.
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 )

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 = $$x$$

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

$$35-x=30$$

$$5 = x$$
_________________

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
Display posts from previous: Sort by

# Of 30 applicants for a job, 14 had at least 4 years'

## Events & Promotions

 Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.