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In a certain office, 1/3 of the 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 workers are without children?
  • a)
    5/18
  • b)
    4/9
  • c)
    11/18
  • d)
    17/36
Correct answer is option 'C'. Can you explain this answer?
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In a certain office, 1/3 of the workers are women, 1 /2 of the women a...
Part, of workers having children
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In a certain office, 1/3 of the workers are women, 1 /2 of the women a...
To find the fraction of workers without children, we need to calculate the fraction of workers with children and subtract it from 1.

Fraction of Women:
Given that 1/3 of the workers are women, this means that the remaining 2/3 are men.

Fraction of Married Women:
Out of the women, 1/2 are married. Therefore, the fraction of married women is 1/3 * 1/2 = 1/6.

Fraction of Married Men:
Out of the men, 3/4 are married. Therefore, the fraction of married men is 2/3 * 3/4 = 1/2.

Fraction of Women with Children:
Given that 1/3 of the married women have children, this means that the fraction of women with children is 1/6 * 1/3 = 1/18.

Fraction of Men with Children:
Given that 2/3 of the married men have children, this means that the fraction of men with children is 1/2 * 2/3 = 1/3.

Adding the fractions of women and men with children:
1/18 + 1/3 = 5/18.

Fraction of Workers without Children:
Finally, to find the fraction of workers without children, we subtract the fraction of workers with children from 1:
1 - 5/18 = 13/18.

Therefore, the fraction of workers without children is 13/18, which is equivalent to option C.
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In a certain office, 1/3 of the 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 workers are without children?a)5/18b)4/9c)11/18d)17/36Correct answer is option 'C'. Can you explain this answer?
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In a certain office, 1/3 of the 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 workers are without children?a)5/18b)4/9c)11/18d)17/36Correct answer is option 'C'. Can you explain this answer? for Mathematics 2024 is part of Mathematics preparation. The Question and answers have been prepared according to the Mathematics exam syllabus. Information about In a certain office, 1/3 of the 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 workers are without children?a)5/18b)4/9c)11/18d)17/36Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Mathematics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a certain office, 1/3 of the 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 workers are without children?a)5/18b)4/9c)11/18d)17/36Correct answer is option 'C'. Can you explain this answer?.
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