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25 Jun 2012, 03:08
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C
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Difficulty:
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79% (02:06) correct
21%
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wrong
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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.
(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.
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 \(\frac{y}{2}=20\)). 
Skills.JPG [ 52.83 KiB | Viewed 62242 times ]
Answer: C.
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 62242 times ]
15 Mar 2016, 09:32
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Bunuel
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 50756 times ]
None = 100 - 20 - 20 - 45 = 15
Answer (C)
