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11 May 2025, 22:05
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siddharth_
Drawing a small diagram helps you see quickly what is given. Chances of error reduce substantially too. I have added a diagram to my solution given in this post.
08 Jul 2026, 03:01
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OA : D
The argument is flawed because consider that there are 100 employees in the company. Suppose 60 employees work in the manufacturing division, so it is true that most employees of the company work in manufacturing.
Out of these 60 manufacturing employees, only 24 employees work overtime, and each of these 24 employees works 35 hours of overtime per month. The remaining 36 manufacturing employees work 0 hours of overtime.
So it is true that the average overtime per month worked by an employee in the manufacturing division is 14 hours. (You can do the average using above numbers to be sure)
Now suppose the remaining 40 employees in the company, who work outside the manufacturing division, also work 0 hours of overtime.
This means that in the whole company, only 24 out of 100 employees work any overtime. So only 24% of employees work overtime, while 76% of employees work no overtime at all.
Therefore, even though the manufacturing division has an average of 14 hours of overtime per employee per month, it is still possible that most employees in the company do not work any overtime.
The argument is flawed because consider that there are 100 employees in the company. Suppose 60 employees work in the manufacturing division, so it is true that most employees of the company work in manufacturing.
Out of these 60 manufacturing employees, only 24 employees work overtime, and each of these 24 employees works 35 hours of overtime per month. The remaining 36 manufacturing employees work 0 hours of overtime.
So it is true that the average overtime per month worked by an employee in the manufacturing division is 14 hours. (You can do the average using above numbers to be sure)
Now suppose the remaining 40 employees in the company, who work outside the manufacturing division, also work 0 hours of overtime.
This means that in the whole company, only 24 out of 100 employees work any overtime. So only 24% of employees work overtime, while 76% of employees work no overtime at all.
Therefore, even though the manufacturing division has an average of 14 hours of overtime per employee per month, it is still possible that most employees in the company do not work any overtime.
08 Jul 2026, 03:07
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Lets also understand what does the argument actually says while mentioning average.
The grammar around the 'average' changes what is being averaged.
First line of the argument :
"The average amount of overtime per month worked by an employee in the manufacturing division is 14 hours." means
(total overtime by manufacturing employees in a month) divided by (number of manufacturing employees) = 14 hours
just like :
The average income of a worker in this factory is ₹30,000
Another line from the argument :
"The average amount of overtime per month worked by any employee in the company generally does not fluctuate much from month to month." means that
Pick any one employee. That employee’s monthly overtime generally stays stable from month to month.
Example:
Employee A: 10, 11, 10, 9 hours
Employee B: 0, 0, 1, 0 hours
The grammar around the 'average' changes what is being averaged.
First line of the argument :
"The average amount of overtime per month worked by an employee in the manufacturing division is 14 hours." means
(total overtime by manufacturing employees in a month) divided by (number of manufacturing employees) = 14 hours
just like :
The average income of a worker in this factory is ₹30,000
Another line from the argument :
"The average amount of overtime per month worked by any employee in the company generally does not fluctuate much from month to month." means that
Pick any one employee. That employee’s monthly overtime generally stays stable from month to month.
Example:
Employee A: 10, 11, 10, 9 hours
Employee B: 0, 0, 1, 0 hours
