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# Of the companies surveyed about the skills they required in

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25 Jun 2012, 03:08
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Difficulty:

35% (medium)

Question Stats:

70% (02:47) correct 30% (01:44) wrong based on 873 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, 05:18
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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 10669 times ]

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

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16 Nov 2012, 05:58
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

GMAT Club is introducing a new project: The Official Guide for GMAT® Review, 13th Edition - Quantitative Questions Project

Each week we'll be posting several questions from The Official Guide for GMAT® Review, 13th Edition and then after couple of days we'll provide Official Answer (OA) to them along with a slution.

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Hi Bunuel - Im not able to access the below link. Im getting an error message that reads "you are NOT authorized"

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, 02:14
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, 13:47

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, 17:48
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, 04:16
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, 09:32
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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 3363 times ]

Using both, we have all the data.

None = 100 - 20 - 20 - 45 = 15

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Get started with Veritas Prep GMAT On Demand for $199 Veritas Prep Reviews Senior Manager Status: Professional GMAT Tutor Affiliations: AB, cum laude, Harvard University (Class of '02) Joined: 10 Jul 2015 Posts: 348 Location: United States (CA) GMAT 1: 770 Q47 V48 GMAT 2: 730 Q44 V47 GRE 1: 337 Q168 V169 WE: Education (Education) Followers: 59 Kudos [?]: 351 [0], given: 45 Re: Of the companies surveyed about the skills they required in [#permalink] ### Show Tags 27 Mar 2016, 19:18 Here is a visual that should help. Attachments Screen Shot 2016-03-27 at 7.17.12 PM.png [ 97.7 KiB | Viewed 3216 times ] _________________ Harvard grad and 770 GMAT scorer, offering high-quality private GMAT tutoring, both in-person and via Skype, since 2002. McElroy Tutoring Intern Joined: 02 Feb 2017 Posts: 2 Followers: 0 Kudos [?]: 0 [0], given: 0 See the problem below. Didn't understand well to solve, [#permalink] ### Show Tags 06 Feb 2017, 17:21 This the problem in data sufficiency. Sent from my iPhone using GMAT Club Forum mobile app EMPOWERgmat Instructor Status: GMAT Assassin/Co-Founder Affiliations: EMPOWERgmat Joined: 19 Dec 2014 Posts: 9109 Location: United States (CA) GMAT 1: 800 Q51 V49 GRE 1: 340 Q170 V170 Followers: 440 Kudos [?]: 2860 [1] , given: 169 Re: See the problem below. Didn't understand well to solve, [#permalink] ### Show Tags 06 Feb 2017, 19:48 1 This post received KUDOS Expert's post Hi polineni, For future reference, you should make sure to post specific GMAT questions in the proper sub-Forum. The DS sub-Forum can be found here: https://gmatclub.com/forum/gmat-data-su ... cy-ds-141/ The specific question that you're interested in was discussed here: https://gmatclub.com/forum/of-the-compa ... 15186.html GMAT assassins aren't born, they're made, Rich _________________ 760+: Learn What GMAT Assassins Do to Score at the Highest Levels Contact Rich at: Rich.C@empowergmat.com # Rich Cohen Co-Founder & GMAT Assassin # Special Offer: Save$75 + GMAT Club Tests

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

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07 Feb 2017, 00:00
polineni wrote:

This the problem in data sufficiency.

Sent from my iPhone using GMAT Club Forum mobile app

Merging topics. Please refer to the discussion above.

Also, please follow the rules when posting a question: https://gmatclub.com/forum/rules-for-po ... 33935.html Thank you.
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21 Mar 2017, 23:02
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

This question asks us if we have enough information to determine what percent of the companies surveyed require neither computer skills nor writing- if we think of this question as a Venn Diagram then circle A can be the percent of companies that require writing skills, circle b can be the percent of companies that require computer skills, the intersection of circle a and b ( circle c if you will) is the percent of companies that require both, and a circle separate from these three circles, circle D, can be the percent of companies that require neither ( see set theory). If we know the percentage of A B and C then we can calculate what the percentage of circle D will be ( Total= A + B - both + neither).

Statement (1) tells us that half of the companies that required computer skills require writing skills; this implies that the percentage of c will be half of b- if the percentage of companies that required computer skills were say 60 percent- then the percentage of companies that require both would be 30 percent according to this statement. However, we cannot calculate the percentage of companies that require writing skills only from this statement and therefore we cannot calculate the percentage that require neither. Insufficient.

Statement (2) gives us the total percentage of companies that require writing skills- if 45 percent require only writing skills then the percentage of A is 65 ( see set theory). However, this leaves us with the same problem as statement (1) - we cannot find out the percentage of "B." Insufficient.

Statement (1) and Statement (2) allow us to calculate the percentage of A, B and C and thus solve for D. Sufficient
Total= 45% + 40% - 20% + D (We can just assume these are values of 100 for the sake of convenience though algebra may be more appropriate in other circumstances)
100= 45+ 40- 20 + D
100= 85-20+D
100=65+D
35=D
Of the companies surveyed about the skills they required in   [#permalink] 21 Mar 2017, 23:02
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