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# Of the companies surveyed about the skills they required in

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28 Nov 2010, 19:25
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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.
[Reveal] Spoiler: OA

Last edited by Bunuel on 03 Apr 2012, 23:45, edited 1 time in total.
Edited the question and added the OA
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28 Nov 2010, 19:49
With statement 1 you can't even know how many require computer skills and how many require writing skills. So there is no chane to find out the number which require neither of these skills.

With statement 2, we can't know the percentage which might be required to know the computer skills and as a result we can't know the percentage which requires neither.

But if we combine the statement 1 and statement2, we can find out the percentage of the employees which require neither of the skills.

Thus "C"
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28 Nov 2010, 20:29
LM wrote:
With statement 1 you can't even know how many require computer skills and how many require writing skills. So there is no chane to find out the number which require neither of these skills. can't you determine the percentage of computer skills since half of the computer skills also required writing skills and we know the percentage that required both =20% so therefore percentage total that required computer skills was 40%?

With statement 2, we can't know the percentage which might be required to know the computer skills and as a result we can't know the percentage which requires neither.

But if we combine the statement 1 and statement2, we can find out the percentage of the employees which require neither of the skills.

Thus "C"

I used venn diagram for this and go a total of 85% that required both comp skills and writing skills or either or. so the percentage that required none is 15%.
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29 Nov 2010, 01:18
pgmat wrote:
Can some one help me with this DS problem?

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.

Thanks.

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 $$\frac{y}{2}=20$$).
Attachment:

Skills.JPG [ 52.83 KiB | Viewed 2233 times ]

Hope it helps.
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29 Nov 2010, 03:35
My method too is similar:

lets say
C - Computer skills
W - writing skills
CW - both = 20% (given)
C'W' - Neither

From 1: we get CW = C/2 => C=40%
But we can not comment on W..

From2: We get W-CW = 45 => W=65
We do not get anything on C...

When we combine both C=40, W=65, CW=20
(Total %) 100 = C + W + C'W' - CW => 100 = 40 + 65 + C'W' - 20

=> C'W' = 15%

PS: If you like my post, don't hesitate to click "+1 Kudos"
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PS: Correct me if I am wrong.

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29 Nov 2010, 06:58
pgmat wrote:
Thanks. Could you please share the Venn Diagram?

There you go:
Stmnt 1: Of those who required computer skills, half required writing skills too. This means those 'half' are the ones that are common to both computer and writing. Then those who require only computer skills should also be 20%.
Attachment:

Ques2.jpg [ 9.68 KiB | Viewed 2194 times ]

Stmnt 2: 45% required only Writing skills.
Attachment:

Ques1.jpg [ 9.72 KiB | Viewed 2193 times ]

You cannot find x with either statement alone. But using both, you get x = 100% - (20 + 20 + 45)% = 15%
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03 Apr 2012, 20:40
Of the companies surveyed about the skills they required in prospective employees, 20 percent required both computer skills and writing skills. What perfect 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.

Can someone explain their thought process through this problem? I've tried reading and re-reading the GMAT explanation but I just can't seem to understand their process.

Thanks,
Rich
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03 Apr 2012, 23:48
NvrEvrGvUp wrote:
Of the companies surveyed about the skills they required in prospective employees, 20 percent required both computer skills and writing skills. What perfect 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.

Can someone explain their thought process through this problem? I've tried reading and re-reading the GMAT explanation but I just can't seem to understand their process.

Thanks,
Rich

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

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11 Apr 2012, 06:28
I still can't wrap my head around the wording of statement one.

I understand statement two but I still don't understand how to use statement one.
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Re: Of the companies surveyed about the skills they required in [#permalink]

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11 Apr 2012, 06:38
NvrEvrGvUp wrote:
I still can't wrap my head around the wording of statement one.

I understand statement two but I still don't understand how to use statement one.

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 $$\frac{y}{2}=20$$).

My post above shows how it can be represented in double-set matrix and Karishma's post shows how it can be represented in Venn diagram.

So, can you please be more specific what part is confusing for you in this statement?
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Re: Of the companies surveyed about the skills they required in [#permalink]

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23 Nov 2014, 23:31
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Re: Of the companies surveyed about the skills they required in   [#permalink] 23 Nov 2014, 23:31
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