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CMA Foundation · Fundamentals of Business Mathematics and Statistics · Set Theory, including Venn Diagram

Among 80 employees of a Chennai firm, 45 know Excel, 38 know Tally, and every employee knows at least one of the two. How many know only Tally?

35 employees know only Tally. Since everyone knows at least one tool, those knowing both equal 45 plus 38 minus 80, which is 3. Removing these 3 from the 38 Tally users leaves 35 who know Tally alone.

  1. A35Correct
  2. B3
  3. C38
  4. D45

Explanation

Both = 45 + 38 - 80 = 3. Only Tally = 38 - 3 = 35. The option 3 is just the overlap, and 38 includes those who know both.

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