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CMA Foundation · Fundamentals of Business Mathematics and Statistics · Statistical Representation of Data

In a survey of 200 employees of a Pune firm, 120 are male. Of the males, 45 are graduates, and of the females, 50 are graduates. Using a two-way table, how many employees in total are non-graduates?

105 employees are non-graduates. Females number 80, total graduates are 45 plus 50, which is 95, and subtracting from 200 gives 105. The figure 95 is the count of graduates, not non-graduates.

  1. A95
  2. B105Correct
  3. C75
  4. D110

Explanation

Females = 200 - 120 = 80. Graduates = 45 + 50 = 95. Non-graduates = 200 - 95 = 105. Option 95 is the number of graduates, mistaken for non-graduates.

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