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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. If3/4of the men are married and2/3of the married men have children, what part of the workers are without children?

Correct Answer: 11\/18

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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