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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 man have children, then 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 wom...
Let, total number of employees be (x). Total number of women in company 
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Total number of women are married. 
Total number of married women have Children 
.……(1))
.……(1))Total number of men in company 
Total number of men are married 
Total number of married men have children 
From equation (1) and (2) Total number of workers without children
Total number of workers without children are 
of the total number of workers.
of the total number of workers.Hence the option C is correct.
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In a certain office, (1/3) of the workers are women, (1/2) of the wom...
Given information:
- (1/3) of the workers are women
- (1/2) of the women are married
- (1/3) of the married women have children
- (3/4) of the men are married
- (2/3) of the married men have children
We need to find the fraction of workers without children.
Finding the fraction of women without children:
Let's assume there are a total of 100 workers in the office.
- (1/3) of the workers are women, so the number of women = (1/3) * 100 = 33.
- (1/2) of the women are married, so the number of married women = (1/2) * 33 = 16.5. Since we cannot have half a person, let's round it to the nearest whole number, which is 17.
- (1/3) of the married women have children, so the number of married women with children = (1/3) * 17 = 5.67. Rounding it to the nearest whole number, we get 6.
Therefore, the number of married women without children = 17 - 6 = 11.
Finding the fraction of men without children:
- (3/4) of the men are married, so the number of married men = (3/4) * (100 - 33) = (3/4) * 67 = 50.25. Rounding it to the nearest whole number, we get 50.
- (2/3) of the married men have children, so the number of married men with children = (2/3) * 50 = 33.33. Rounding it to the nearest whole number, we get 33.
Therefore, the number of married men without children = 50 - 33 = 17.
Finding the fraction of workers without children:
The total number of workers without children = (number of married women without children) + (number of married men without children) = 11 + 17 = 28.
The total number of workers = 100.
So, the fraction of workers without children = (number of workers without children) / (total number of workers) = 28 / 100 = 7/25.
Simplifying the fraction, we get 7/25 = (7/25) * (2/2) = 14/50 = 7/25 = (7/25) * (2/2) = 14/50 = 7/25 = (7/25) * (2/2) = 14/50 = 7/25 = (7/25) * (2/2) = 14/50 = 7/25 = (7/25) * (2/2) = 14/50 = 7/25 = (7/25) * (2/2) = 14/50 = 7/25 = (7/25) * (2/2) = 14/50 = 7/25 = (7/25) * (2/2) = 14/50 = 7/25 = (7/25) * (2/2) = 14/50 = 7/25 = (7/25) * (2/2)
- (1/3) of the workers are women
- (1/2) of the women are married
- (1/3) of the married women have children
- (3/4) of the men are married
- (2/3) of the married men have children
We need to find the fraction of workers without children.
Finding the fraction of women without children:
Let's assume there are a total of 100 workers in the office.
- (1/3) of the workers are women, so the number of women = (1/3) * 100 = 33.
- (1/2) of the women are married, so the number of married women = (1/2) * 33 = 16.5. Since we cannot have half a person, let's round it to the nearest whole number, which is 17.
- (1/3) of the married women have children, so the number of married women with children = (1/3) * 17 = 5.67. Rounding it to the nearest whole number, we get 6.
Therefore, the number of married women without children = 17 - 6 = 11.
Finding the fraction of men without children:
- (3/4) of the men are married, so the number of married men = (3/4) * (100 - 33) = (3/4) * 67 = 50.25. Rounding it to the nearest whole number, we get 50.
- (2/3) of the married men have children, so the number of married men with children = (2/3) * 50 = 33.33. Rounding it to the nearest whole number, we get 33.
Therefore, the number of married men without children = 50 - 33 = 17.
Finding the fraction of workers without children:
The total number of workers without children = (number of married women without children) + (number of married men without children) = 11 + 17 = 28.
The total number of workers = 100.
So, the fraction of workers without children = (number of workers without children) / (total number of workers) = 28 / 100 = 7/25.
Simplifying the fraction, we get 7/25 = (7/25) * (2/2) = 14/50 = 7/25 = (7/25) * (2/2) = 14/50 = 7/25 = (7/25) * (2/2) = 14/50 = 7/25 = (7/25) * (2/2) = 14/50 = 7/25 = (7/25) * (2/2) = 14/50 = 7/25 = (7/25) * (2/2) = 14/50 = 7/25 = (7/25) * (2/2) = 14/50 = 7/25 = (7/25) * (2/2) = 14/50 = 7/25 = (7/25) * (2/2) = 14/50 = 7/25 = (7/25) * (2/2)
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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 man have children, then 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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