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DIRECTIONS for the question: Solve the following question and mark the best possible option.
4 men and 6 women complete a task in 24 days. If the women are at least half as efficient as the men, but not more efficient than the men, what is the range of the number of days for 6 women and 2 men to complete a task?
- a)27 to 30.6
- b)30 to 33.6
- c)33 to 36.6
- d)24 to 27.6
Correct answer is option 'B'. Can you explain this answer?
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DIRECTIONSfor the question:Solve the following question and mark the b...
4m and 6w finish in 24 days.
In one day, 4m + 6w = 1/24 of task.
In one day, 4m + 6w = 1/24 of task.
In these questions, just substitute extreme values to get the whole range:
If a woman is half as efficient as man
4m + 3m = 1/24, 7m = 1/24, m = 1/168
6w + 2m = 3m + 2m = 5m, 5m will take 168/5 days = 33.6 days
If a woman is half as efficient as man
4m + 3m = 1/24, 7m = 1/24, m = 1/168
6w + 2m = 3m + 2m = 5m, 5m will take 168/5 days = 33.6 days
If a woman is as efficient as a man
4m + 6w finish in 24 days
10m finish 1/24 of task in a day
6w + 2m = 8m, 8m will take 240/8 = 30 days to finish the task.
So, the range = 30 to 33.6 days.
4m + 6w finish in 24 days
10m finish 1/24 of task in a day
6w + 2m = 8m, 8m will take 240/8 = 30 days to finish the task.
So, the range = 30 to 33.6 days.
The new team will take 30 to 33.6 days to finish the task.
So option B.
So option B.
Most Upvoted Answer
DIRECTIONSfor the question:Solve the following question and mark the b...
Given:
- 4 men and 6 women can complete a task in 24 days.
To find:
- The range of the number of days for 6 women and 2 men to complete the same task.
Approach:
- Let's assume that the efficiency of a man is 'm' and the efficiency of a woman is 'w'.
- According to the given condition, women are at least half as efficient as men, but not more efficient than men. Therefore, we can write the inequality as:
- w >= m/2 and w <=>
Solution:
Step 1: Calculate the total work done by 4 men and 6 women in 24 days.
- Let the total work be 'T'.
- The work done by 1 man in 1 day = 1/(4 * 24).
- The work done by 1 woman in 1 day = 1/(6 * 24).
- The total work done by 4 men and 6 women in 1 day = (4 * 1/(4 * 24)) + (6 * 1/(6 * 24)) = 1/24 + 1/24 = 1/12.
- Therefore, the total work done by 4 men and 6 women in 24 days = (1/12) * 24 = 2 units.
Step 2: Calculate the total work done by 6 women and 2 men in 'd' days.
- Let the total work be 'T'.
- The work done by 1 man in 1 day = 1/(2 * d).
- The work done by 1 woman in 1 day = 1/(6 * d).
- The total work done by 6 women and 2 men in 1 day = (2 * 1/(2 * d)) + (6 * 1/(6 * d)) = 1/d + 1/d = 2/d.
- Therefore, the total work done by 6 women and 2 men in 'd' days = (2/d) * d = 2 units.
Step 3: Determine the range of 'd' using the inequality.
- According to the given condition, women are at least half as efficient as men, but not more efficient than men. Therefore, we can write the inequality as:
- w >= m/2 and w <=>
- 1/(6 * d) >= 1/(2 * d)/2 and 1/(6 * d) <= 1/(2="" *="">
- d >= 3 and d <=>
Step 4: Convert the range to the required format.
- The range of 'd' is from 3 to 6 days.
- To convert it to the format given in the options, we can multiply it by 3.
- The range of 'd' is then from 9 to 18 days.
Step 5: Convert the range to the required format (decimal values).
- The range of 'd' is from 9 to 18 days.
- To convert it to decimal values, we can divide it by 3.
- The range of 'd' is then from
- 4 men and 6 women can complete a task in 24 days.
To find:
- The range of the number of days for 6 women and 2 men to complete the same task.
Approach:
- Let's assume that the efficiency of a man is 'm' and the efficiency of a woman is 'w'.
- According to the given condition, women are at least half as efficient as men, but not more efficient than men. Therefore, we can write the inequality as:
- w >= m/2 and w <=>
Solution:
Step 1: Calculate the total work done by 4 men and 6 women in 24 days.
- Let the total work be 'T'.
- The work done by 1 man in 1 day = 1/(4 * 24).
- The work done by 1 woman in 1 day = 1/(6 * 24).
- The total work done by 4 men and 6 women in 1 day = (4 * 1/(4 * 24)) + (6 * 1/(6 * 24)) = 1/24 + 1/24 = 1/12.
- Therefore, the total work done by 4 men and 6 women in 24 days = (1/12) * 24 = 2 units.
Step 2: Calculate the total work done by 6 women and 2 men in 'd' days.
- Let the total work be 'T'.
- The work done by 1 man in 1 day = 1/(2 * d).
- The work done by 1 woman in 1 day = 1/(6 * d).
- The total work done by 6 women and 2 men in 1 day = (2 * 1/(2 * d)) + (6 * 1/(6 * d)) = 1/d + 1/d = 2/d.
- Therefore, the total work done by 6 women and 2 men in 'd' days = (2/d) * d = 2 units.
Step 3: Determine the range of 'd' using the inequality.
- According to the given condition, women are at least half as efficient as men, but not more efficient than men. Therefore, we can write the inequality as:
- w >= m/2 and w <=>
- 1/(6 * d) >= 1/(2 * d)/2 and 1/(6 * d) <= 1/(2="" *="">
- d >= 3 and d <=>
Step 4: Convert the range to the required format.
- The range of 'd' is from 3 to 6 days.
- To convert it to the format given in the options, we can multiply it by 3.
- The range of 'd' is then from 9 to 18 days.
Step 5: Convert the range to the required format (decimal values).
- The range of 'd' is from 9 to 18 days.
- To convert it to decimal values, we can divide it by 3.
- The range of 'd' is then from
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DIRECTIONSfor the question:Solve the following question and mark the best possible option.4 men and 6 women complete a task in 24 days. If the women are at least half as efficient as the men, but not more efficient than the men, what is the range of the number of days for 6 women and 2 men to complete a task?a)27 to 30.6b)30 to 33.6c)33 to 36.6d)24 to 27.6Correct answer is option 'B'. Can you explain this answer?
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DIRECTIONSfor the question:Solve the following question and mark the best possible option.4 men and 6 women complete a task in 24 days. If the women are at least half as efficient as the men, but not more efficient than the men, what is the range of the number of days for 6 women and 2 men to complete a task?a)27 to 30.6b)30 to 33.6c)33 to 36.6d)24 to 27.6Correct 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 DIRECTIONSfor the question:Solve the following question and mark the best possible option.4 men and 6 women complete a task in 24 days. If the women are at least half as efficient as the men, but not more efficient than the men, what is the range of the number of days for 6 women and 2 men to complete a task?a)27 to 30.6b)30 to 33.6c)33 to 36.6d)24 to 27.6Correct 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 DIRECTIONSfor the question:Solve the following question and mark the best possible option.4 men and 6 women complete a task in 24 days. If the women are at least half as efficient as the men, but not more efficient than the men, what is the range of the number of days for 6 women and 2 men to complete a task?a)27 to 30.6b)30 to 33.6c)33 to 36.6d)24 to 27.6Correct answer is option 'B'. Can you explain this answer?.
DIRECTIONSfor the question:Solve the following question and mark the best possible option.4 men and 6 women complete a task in 24 days. If the women are at least half as efficient as the men, but not more efficient than the men, what is the range of the number of days for 6 women and 2 men to complete a task?a)27 to 30.6b)30 to 33.6c)33 to 36.6d)24 to 27.6Correct 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 DIRECTIONSfor the question:Solve the following question and mark the best possible option.4 men and 6 women complete a task in 24 days. If the women are at least half as efficient as the men, but not more efficient than the men, what is the range of the number of days for 6 women and 2 men to complete a task?a)27 to 30.6b)30 to 33.6c)33 to 36.6d)24 to 27.6Correct 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 DIRECTIONSfor the question:Solve the following question and mark the best possible option.4 men and 6 women complete a task in 24 days. If the women are at least half as efficient as the men, but not more efficient than the men, what is the range of the number of days for 6 women and 2 men to complete a task?a)27 to 30.6b)30 to 33.6c)33 to 36.6d)24 to 27.6Correct answer is option 'B'. Can you explain this answer?.
Solutions for DIRECTIONSfor the question:Solve the following question and mark the best possible option.4 men and 6 women complete a task in 24 days. If the women are at least half as efficient as the men, but not more efficient than the men, what is the range of the number of days for 6 women and 2 men to complete a task?a)27 to 30.6b)30 to 33.6c)33 to 36.6d)24 to 27.6Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT.
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Here you can find the meaning of DIRECTIONSfor the question:Solve the following question and mark the best possible option.4 men and 6 women complete a task in 24 days. If the women are at least half as efficient as the men, but not more efficient than the men, what is the range of the number of days for 6 women and 2 men to complete a task?a)27 to 30.6b)30 to 33.6c)33 to 36.6d)24 to 27.6Correct answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
DIRECTIONSfor the question:Solve the following question and mark the best possible option.4 men and 6 women complete a task in 24 days. If the women are at least half as efficient as the men, but not more efficient than the men, what is the range of the number of days for 6 women and 2 men to complete a task?a)27 to 30.6b)30 to 33.6c)33 to 36.6d)24 to 27.6Correct answer is option 'B'. Can you explain this answer?, a detailed solution for DIRECTIONSfor the question:Solve the following question and mark the best possible option.4 men and 6 women complete a task in 24 days. If the women are at least half as efficient as the men, but not more efficient than the men, what is the range of the number of days for 6 women and 2 men to complete a task?a)27 to 30.6b)30 to 33.6c)33 to 36.6d)24 to 27.6Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of DIRECTIONSfor the question:Solve the following question and mark the best possible option.4 men and 6 women complete a task in 24 days. If the women are at least half as efficient as the men, but not more efficient than the men, what is the range of the number of days for 6 women and 2 men to complete a task?a)27 to 30.6b)30 to 33.6c)33 to 36.6d)24 to 27.6Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice DIRECTIONSfor the question:Solve the following question and mark the best possible option.4 men and 6 women complete a task in 24 days. If the women are at least half as efficient as the men, but not more efficient than the men, what is the range of the number of days for 6 women and 2 men to complete a task?a)27 to 30.6b)30 to 33.6c)33 to 36.6d)24 to 27.6Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice CAT tests.
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