In a certain office 1 3 of workers are women 1 2 of the women are married and 1 3 of the married wom...........

Logical Reasoning(Master ) Arithmetical Reasoning

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?

5/18

4/9

11/18

17/36

17/29

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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.