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Of the companies surveyed about the skills they required in

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Director
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Of the companies surveyed about the skills they required in [#permalink]

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14 Jun 2011, 03:52
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Of the companies surveyed about the skills they required in prospective employees, 20 percent required both computer skills and writing skills. What percent of the companies surveyed required neither computer skills nor writing skills?

(1) Of those companies surveyed that required computer skills, half required writing skills.
(2) 45 percent of the companies surveyed required writing skills but not computer skills.

OPEN DISCUSSION OF THIS QUESTION IS HERE: of-the-companies-surveyed-about-the-skills-they-required-in-134899.html
[Reveal] Spoiler: OA

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Re: companies surveyed [#permalink]

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14 Jun 2011, 03:55
Look here for a detailed explanation :

ds-ques-66118.html
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Re: companies surveyed [#permalink]

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14 Jun 2011, 04:51
table is
W !W
C 20 x a gives x=40
!C45 60

b gives 60-45 = 15 for !C !W.

C here.
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Re: companies surveyed [#permalink]

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14 Jun 2011, 07:27
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subhashghosh wrote:
Look here for a detailed explanation :

ds-ques-66118.html

Please complete the following solution:

Total = 100 = Computer Only + both (20)+ Writing only + Neither comp Nor writing.

1) Computer = Computer Only + both (20)
Writing = Writing only + both (20)

Computer = 2 * Writing

Insuff alone

2) Writing only = 45

Writing = 45 + 20 = 65

insuff alone remaining 100 - 65 = 35 can include Computer only and neither comp nor writing.

What should i do now to get neither comp nor writing?
Together
suff.
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Re: companies surveyed [#permalink]

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14 Jun 2011, 09:45
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Baten80 wrote:
Of the companies surveyed about the skills they required in prospective employees, 20 percent required both computer skills and writing skills. What percent of companies required neither computer skills nor writing skills?

(1) Of those companies surveyed that required computer skills, half required writing skills.
(2) 45 percent of the companies surveyed required writing skills but now computer skills.

C- Computer
W- Writing
T- Total
B-Both
N- Neither

OC-Only C
OW-Only W

T=C+W-B+N
100=C+W-20+N
N=120-C-W

(1)
B=1/2*C
C=2B=2*20=40----------------1
N=120-C-W
N=120-40-W
N=80-W----------------2
W-Unknown
Not Sufficient.

(2)
OW=45
W=B+OW=20+45=65-------------3
N=120-C-W
N=120-C-65
N=55-C-----------------4
C-Unknown;
Not Sufficient.

Using 1 and 4:
N=55-C=55-40=15
OR
Using 2 and 3:
N=80-W=80-65=15

Sufficient.

Ans: "C"
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Re: Of the companies surveyed about the skills they required in [#permalink]

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25 Feb 2014, 04:35
I got stung trying to translate the first statement.

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Re: Of the companies surveyed about the skills they required in [#permalink]

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25 Feb 2014, 04:39
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actionj wrote:
I got stung trying to translate the first statement.

Of the companies surveyed about the skills they required in prospective employees, 20 percent required both computer skills and writing skills. What percent of the companies surveyed required neither computer skills nor writing skills?

(1) Of those companies surveyed that required computer skills, half required writing skills.
(2) 45 percent of the companies surveyed required writing skills but not computer skills.

You can draw a Venn diagram or make a matrix to solve this question.

Note that statement (1) says that "of those companies surveyed that required computer skills, half required writing skills" --> if $$y$$ required computer skills, then of those $$y$$ who required computer skills, $$\frac{y}{2}$$ also required writing skills (# of companies required computer and writing skills is $$\frac{y}{2}=20$$).

OPEN DISCUSSION OF THIS QUESTION IS HERE: of-the-companies-surveyed-about-the-skills-they-required-in-134899.html
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Re: Of the companies surveyed about the skills they required in   [#permalink] 25 Feb 2014, 04:39
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