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. Both statements taken together are sufficient to answer the question, but neither statement alone is sufficient
- A. Statement (1) alone is sufficient, but statement (2) alone is not sufficient to answer the question
- B. Statement (2) alone is sufficient, but statement (1) alone is not sufficient to answer the question
- C. Both statements taken together are sufficient to answer the question, but neither statement alone is sufficient
- D. Each statement alone is sufficient
Explanation
Option C gives sufficient information from which it can be concluded that the percentage of companies that did not require neither computer skills or writing skills using a venn diagram Taking (1) and (2) together, 85 percent (20 + 20 + 45), i.e., 20% required computer skills, 20% required both skills, and 45% required only writing skills. Therefore, companies that do not require computer skills nor reading skills would be equal to 100-85 = 15% of the surveyed companies that require neither computer skills nor writing skills.All the other options provided are not sufficient enough to conclude the percentage of companies that do not require computer skills nor reading skills.
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Quantitative reasoning applies arithmetic and basic algebra to numerical relationships, including percentages, ratios, averages, fractions, proportions, profit and loss, rates, time, work and measurement. Questions focus on translating words into equations, choosing an efficient method and checking whether the result is numerically reasonable.
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