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?
         
       
      
      
      
          
      
      
          Answer & 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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