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Q: In a certain office, 1/3 of workers are women, 1/2 of the women are married and 1/3 of the married women have children. If 3/4  of the men are married and 2/3  of the married men have children, what part of the workers are without children?

  • 1
    5/18
  • 2
    4/9
  • 3
    11/18
  • 4
    17/36
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Answer : 3. "11/18"
Explanation :

Answer: C) 11/18 Explanation: Let the total number of workers be x. Then,    Number of women = x/3 and number of men = x - x/3  = 2x/3   Number of women having children = x/18   Number of men having children = x/3   Number of workers having children = (x/18) + (x/3) = 7x/18    Therefore, workers having no children = x - 7x/18 = 11/18 of all workers.

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