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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

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

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

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

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05 Mar 2014, 13:47

Answer - C

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.

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

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17 Jun 2015, 17:48

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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

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 ]

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

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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

gmatclubot

Of the companies surveyed about the skills they required in
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21 Mar 2017, 23:02

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