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OG 10 PS Q- 153

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OG 10 PS Q- 153 [#permalink] New post 06 Sep 2010, 01:15
00:00

Question Stats:

60% (02:18) correct 40% (00:35) wrong based on 0 sessions
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
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Re: OG 10 PS Q- 153 [#permalink] New post 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 ExpTotal
Degree5 (Required Value)1318 (Given)
No Degree9312
Total14(Given)1630 (Given)

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Last edited by ezhilkumarank on 06 Sep 2010, 01:31, edited 1 time in total.
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Re: OG 10 PS Q- 153 [#permalink] New post 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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Re: OG 10 PS Q- 153 [#permalink] New post 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.
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Re: OG 10 PS Q- 153 [#permalink] New post 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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