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1345 - Data Sufficiency

Data Sufficiency MCQ No. : 49845

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.

Correct Answer: C

Explanation:

Arithmetic Percents

The surveyed companies could be placed into one of the following four categories:

  1. Requiring computer skills and requiring writing skills
  2. Requiring computer skills but not requiring writing skills
  3. Not requiring computer skills but requiring writing skills
  4. Not requiring either computer skills or writing skills

It is given that 20 percent of the surveyed companies fell into category 1. It is necessary to determine what percent of the surveyed companies fell into category 4.

  • (1) This helps identify the percentage in category 2. Since -4 the companies that required computer skills also required writing skills (i.e., those in category 1), then the other -= of the companies that required computer skills did not require writing skills (thus category 2 = category 1). However, this information only establishes that 20 percent required computer skills, but not writing skills; NOT sufficient.
  • (2) While this establishes category 3, that is, that 45 percent required writing skills but not computer skills, no further information is available; NOT sufficient.

Taking (1) and (2) together, the first three categories add up to 85 percent (20 +20+45). Therefore, category 4 would be equal to 100- 85= 15 percent of the surveyed companies required neither computer skills nor writing skills.

The correct answer is C; both statements together are sufficient.

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