Of the companies surveyed about the skills they required in : GMAT Data Sufficiency (DS)
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# Of the companies surveyed about the skills they required in

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25 Jun 2012, 02:08
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35% (medium)

Question Stats:

69% (02:45) correct 31% (01:46) wrong based on 733 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.

Diagnostic Test
Question: 34
Page: 25
Difficulty: 700
[Reveal] Spoiler: OA

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

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29 Jun 2012, 04:18
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SOLUTION

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

Skills.JPG [ 52.83 KiB | Viewed 9368 times ]

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

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16 Nov 2012, 04:58
Bunuel wrote:
The Official Guide for GMAT® Review, 13th Edition - Quantitative Questions Project

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.

Diagnostic Test
Question: 34
Page: 25
Difficulty: 700

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The Official Guide for GMAT® Review, 13th Edition - Quantitative Questions Project

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

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14 Aug 2013, 01:14
Bumping for review and further discussion.

All OG13 questions are here: the-official-guide-quantitative-question-directory-143450.html
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Re: Of the companies surveyed about the skills they required in [#permalink]

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05 Mar 2014, 12:47

Strategy: Find out both "JUST" computer skills and "JUST" writing skills, SUM them. Take that SUM and subtract from 100% (Total possible) to reach the "neither" of those 2 possibilities.

From stem: 20% require both computer skills and writing skills (helps us ascertain "JUST" computer skills" in statement 1.
From (1): 2 * 20% require JUST computer skills -> 40% for JUST computer skills but don't know about writing skills - N.S.
From (2): 45% require JUST writing skills -> 45% for JUST writing skills but don't know about computer skills - N.S
(1 + 2) Now know both "JUST" computer skills & writing skills. If you add these up you get 85% with no overlap. Subtract this from 100% (total possible) to reach 15% as neither. Sufficient.

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

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17 Jun 2015, 16:48
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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

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15 Mar 2016, 03:16
Hi Bunuel

Can I solve this DS question by the overlapping formula step by step to discover which statement provides required info or both or none ?
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Re: Of the companies surveyed about the skills they required in [#permalink]

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15 Mar 2016, 08:32
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Bunuel 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.

Diagnostic Test
Question: 34
Page: 25
Difficulty: 700

Think of the Venn Diagram. You are given that the overlap area has 20 companies (assuming total 100 companies) in the question stem.

(1) Of those companies surveyed that required computer skills, half required writing skills.
So half of the companies that required computer skills, required writing skills too. Hence this 20 forms half of the companies that required computer skills. So total 40 companies required computer skills. The info given in red is obtained by using statement 1. We don't know how many required only writing skills yet so we cannot find none. Not sufficient.

(2) 45 percent of the companies surveyed required writing skills but not computer skills.
Now we know that 45 required only writing skills. The info in green is obtained by statement 2. But we don't know how many required only computer skills so not sufficient.

Attachment:

Overlapping sets.jpg [ 25.44 KiB | Viewed 2268 times ]

Using both, we have all the data.

None = 100 - 20 - 20 - 45 = 15

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

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27 Mar 2016, 18:18
Here is a visual that should help.
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Screen Shot 2016-03-27 at 7.17.12 PM.png [ 97.7 KiB | Viewed 2120 times ]

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Re: Of the companies surveyed about the skills they required in   [#permalink] 27 Mar 2016, 18:18
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