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# Of the companies surveyed about the skills they required in

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Intern
Joined: 26 Jul 2010
Posts: 24

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Updated on: 19 Jan 2018, 09:27
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Difficulty:

35% (medium)

Question Stats:

75% (01:59) correct 25% (02:00) wrong based on 94 sessions

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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: http://gmatclub.com/forum/of-the-compan ... 34899.html

Originally posted by pgmat on 28 Nov 2010, 18:25.
Last edited by Bunuel on 19 Jan 2018, 09:27, edited 2 times in total.
Edited the question and added the OA
Director
Joined: 03 Sep 2006
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Re: Of the companies surveyed about the skills they required in  [#permalink]

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28 Nov 2010, 18:49
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"
Manager
Joined: 13 Jul 2010
Posts: 131
Re: Of the companies surveyed about the skills they required in  [#permalink]

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28 Nov 2010, 19:29
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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Joined: 02 Sep 2009
Posts: 52327
Re: Of the companies surveyed about the skills they required in  [#permalink]

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29 Nov 2010, 00:18
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 2968 times ]

Hope it helps.
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Re: Of the companies surveyed about the skills they required in  [#permalink]

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29 Nov 2010, 02:35
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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Respect,
Vaibhav

PS: Correct me if I am wrong.

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Joined: 16 Oct 2010
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Location: Pune, India
Re: Of the companies surveyed about the skills they required in  [#permalink]

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29 Nov 2010, 05:58
1
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 2926 times ]

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

Ques1.jpg [ 9.72 KiB | Viewed 2925 times ]

You cannot find x with either statement alone. But using both, you get x = 100% - (20 + 20 + 45)% = 15%
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Karishma
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Re: Of the companies surveyed about the skills they required in  [#permalink]

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03 Apr 2012, 19:40
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
Math Expert
Joined: 02 Sep 2009
Posts: 52327
Re: Of the companies surveyed about the skills they required in  [#permalink]

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03 Apr 2012, 22:48
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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GMAT 1: 680 Q44 V39
GMAT 2: 710 Q48 V40
Re: Of the companies surveyed about the skills they required in  [#permalink]

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11 Apr 2012, 05:28
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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Posts: 52327
Re: Of the companies surveyed about the skills they required in  [#permalink]

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11 Apr 2012, 05:38
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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Posts: 52327
Re: Of the companies surveyed about the skills they required in  [#permalink]

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19 Jan 2018, 09:28
pgmat 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 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: http://gmatclub.com/forum/of-the-compan ... 34899.html
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Re: Of the companies surveyed about the skills they required in &nbs [#permalink] 19 Jan 2018, 09:28
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