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ExamsIBPS POQuantitative Aptitude

In a factory, the ratio between the number of men and women is 3:2. On one day, 18 men and 7 women were absent due to bad weather, and the ratio between the number of men and women present became 9:7. What is the actual number of women in the factory?

  1. 46
  2. 34
  3. 78
  4. 42

Correct answer: 42

Solution

Let men and women be \(3x\) and \(2x\). After absences, they become \(3x-18\) and \(2x-7\), and their ratio is 9:7. Solving gives \(x=21\), so the number of women is \(2x=42\).

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