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# OG 10 PS Q- 153

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Author Message
Manager
Status: GMAT Preperation
Joined: 04 Feb 2010
Posts: 101
Concentration: Social Entrepreneurship, Social Entrepreneurship
GPA: 3
WE: Consulting (Insurance)
Followers: 2

Kudos [?]: 156 [0], given: 15

OG 10 PS Q- 153 [#permalink]

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06 Sep 2010, 01:15
00:00

Difficulty:

(N/A)

Question Stats:

50% (02:18) correct 50% (00:23) wrong based on 6 sessions

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Of 30 applicants for a job, 14 had at least 4 years of exper, 18 had degrees, and 3 had less than 4 years exper and did not have a degree, how many applicants had at least 4 years exper and a degree?

a)14
b)13
c)9
d)7
e)5

OG's the explainaton is confusing.. can someone help me with a better way of answering this kind of questions?
[Reveal] Spoiler: OA
Senior Manager
Status: Time to step up the tempo
Joined: 24 Jun 2010
Posts: 408
Location: Milky way
Schools: ISB, Tepper - CMU, Chicago Booth, LSB
Followers: 8

Kudos [?]: 211 [0], given: 50

Re: OG 10 PS Q- 153 [#permalink]

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06 Sep 2010, 01:30
vanidhar wrote:
Of 30 applicants for a job, 14 had at least 4 years of exper, 18 had degrees, and 3 had less than 4 years exper and did not have a degree, how many applicants had at least 4 years exper and a degree?

a)14
b)13
c)9
d)7
e)5

OG's the explainaton is confusing.. can someone help me with a better way of answering this kind of questions?

Answer is E. Here is how:
The quickest way is to setup a matrix and work through the given values in the question.

For all such problems, set up a matrix with number of columns and rows corresponding to the divisions mentioned in the question stem.

 Degrees and Experience > 4 yrs Exp < 4 yrs Exp Total Degree 5 (Required Value) 13 18 (Given) No Degree 9 3 12 Total 14(Given) 16 30 (Given)

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Last edited by ezhilkumarank on 06 Sep 2010, 01:31, edited 1 time in total.
Director
Status: Apply - Last Chance
Affiliations: IIT, Purdue, PhD, TauBetaPi
Joined: 18 Jul 2010
Posts: 688
Schools: Wharton, Sloan, Chicago, Haas
WE 1: 8 years in Oil&Gas
Followers: 15

Kudos [?]: 158 [0], given: 15

Re: OG 10 PS Q- 153 [#permalink]

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06 Sep 2010, 01:30
30-3=27 you have to deal with.
27=14+18-common to both the groups
hence common =5
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Intern
Joined: 19 Mar 2010
Posts: 6
Followers: 0

Kudos [?]: 0 [0], given: 0

Re: OG 10 PS Q- 153 [#permalink]

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06 Sep 2010, 01:42
Use Venn diagram to solve this problem. It is straight fwd.
Let
A: no. of applicants with atleast 4 years of exp.
B: no. of applicants with a degree.
C: no. of applicants with less than 4 yrs of exp.

Since we cannot have applicants with atleast 4 yrs of exp and less than 4 yrs of exp. at the same time, it is clear that intersection of A, B and C is zero. And so is with the case of intersection of A and C.

Now you can easily solve the equation of three sets.

The correct answer is 5.
Manager
Joined: 17 Mar 2010
Posts: 183
Followers: 3

Kudos [?]: 186 [0], given: 9

Re: OG 10 PS Q- 153 [#permalink]

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07 Sep 2010, 01:19
always use table for this kind of problem
Re: OG 10 PS Q- 153   [#permalink] 07 Sep 2010, 01:19
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# OG 10 PS Q- 153

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