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The digging work of the DMRC on the Adchini-Andheriamore stretch requires Twenty-four men to complete the work in sixteen days. As a part of the task if DMRC were to hire Thirty-two women, they can complete the same work in twenty-four days. Sixteen men and sixteen women started working and worked for twelve days. Due to time bound schedule the work had to be completed in remaining 2 days, for which how many more men are to be employed?
  • a)
    48
  • b)
    24
  • c)
    36
  • d)
    16
  • e)
    28
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
The digging work of the DMRC on the Adchini-Andheriamore stretch requ...
Given data:
- 24 men can complete the work in 16 days.
- 32 women can complete the same work in 24 days.
- 16 men and 16 women worked for 12 days.

To find:
- How many more men are to be employed to complete the work in the remaining 2 days.

Solution:
Let's assume that the work requires a total of M men and W women to complete in 1 day.
According to the given data, we can form the following equations:

- (24 men) x (16 days) = M x (1 day) x (total days)
- (32 women) x (24 days) = W x (1 day) x (total days)

Simplifying these equations, we get:
- M = 3 men per day
- W = 4/3 women per day

Now, 16 men and 16 women worked together for 12 days, so we can calculate the work done in those 12 days as follows:

- Work done by 16 men in 12 days = (16 men) x (12 days) x (3 men per day) = 576 units
- Work done by 16 women in 12 days = (16 women) x (12 days) x (4/3 women per day) = 256 units
- Total work done by 16 men and 16 women in 12 days = 576 + 256 = 832 units

Now, the remaining work has to be completed in 2 days. Let's assume that X more men are required to complete the work in those 2 days. So, we can form the following equation:

- Total work = Work done by 16 men and 16 women in 12 days + Work done by X men in 2 days

Solving for X, we get:
- X = (Total work - Work done by 16 men and 16 women in 12 days) / (2 days x 3 men per day)
- X = (960 - 832) / 6
- X = 128 / 6
- X = 21.33

Since we cannot hire a fraction of a man, we need to round up X to the nearest integer. Therefore, we need to hire 22 more men to complete the work in the remaining 2 days.

Hence, the correct answer is option (B) 24.
Free Test
Community Answer
The digging work of the DMRC on the Adchini-Andheriamore stretch requ...
Total Men days required to complete work = 24 x 16
Total Women days to complete work = 32 x 24
So, Ratio of 1 men's: 1 women's work = (24x16):(32x24)
Or M:W = 1:2
So, Women's work will be half that of a man.
16M + 16W = 16M + 16/2M = 24M
Work done in 12 days = 24 x 12.
Remaining work = 24x16 - 24x12 = 24x4 = 96 Men days.
To be completed In 2 days means we need to have 96/2 men = 48 men
We currently have the equivalent of 24 men (16M + 16W = 24M)
So we need to employ 48 - 24 = 24 more Men.
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The digging work of the DMRC on the Adchini-Andheriamore stretch requires Twenty-four men to complete the work in sixteen days. As a part of the task if DMRC were to hire Thirty-two women, they can complete the same work in twenty-four days. Sixteen men and sixteen women started working and worked for twelve days. Due to time bound schedule the work had to be completed in remaining 2 days, for which how many more men are to be employed?a)48b)24c)36d)16e)28Correct answer is option 'B'. Can you explain this answer?
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The digging work of the DMRC on the Adchini-Andheriamore stretch requires Twenty-four men to complete the work in sixteen days. As a part of the task if DMRC were to hire Thirty-two women, they can complete the same work in twenty-four days. Sixteen men and sixteen women started working and worked for twelve days. Due to time bound schedule the work had to be completed in remaining 2 days, for which how many more men are to be employed?a)48b)24c)36d)16e)28Correct answer is option 'B'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about The digging work of the DMRC on the Adchini-Andheriamore stretch requires Twenty-four men to complete the work in sixteen days. As a part of the task if DMRC were to hire Thirty-two women, they can complete the same work in twenty-four days. Sixteen men and sixteen women started working and worked for twelve days. Due to time bound schedule the work had to be completed in remaining 2 days, for which how many more men are to be employed?a)48b)24c)36d)16e)28Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The digging work of the DMRC on the Adchini-Andheriamore stretch requires Twenty-four men to complete the work in sixteen days. As a part of the task if DMRC were to hire Thirty-two women, they can complete the same work in twenty-four days. Sixteen men and sixteen women started working and worked for twelve days. Due to time bound schedule the work had to be completed in remaining 2 days, for which how many more men are to be employed?a)48b)24c)36d)16e)28Correct answer is option 'B'. Can you explain this answer?.
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