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Directions: Two quantities A and B are given in the following questions. You have to find the value to both A and B by using your knowledge of mathematics and choose the most suitable relation between the magnitude of A and B from the given options.
Quantity A - Time taken (in days) by X and Y to complete the work together. X takes 26 days alone while Y is 30% more efficient than X.
Quantity B - Time taken (in days) by 6 men and 6 children to complete the work. 10 men can complete the work in 8 days. Child is 75% as efficient as men.
- a)Quantity A ? Quantity B
- b)Quantity A ? Quantity B
- c)Quantity A = Quantity B or no relationship can be established
- d)Quantity A > Quantity B
- e)Quantity A < quantity="" />
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
Directions: Two quantities A and B are given in the following questio...
Understanding Quantity A
To find the time taken by X and Y to complete the work together, we first need to determine their individual work rates.
- X's rate: X completes the work in 26 days. Therefore, X's work rate = 1/26 (work per day).
- Y's efficiency: Y is 30% more efficient than X. Thus, Y's rate = X's rate + 30% of X's rate = 1/26 + 0.3 * (1/26) = 1.3/26 = 13/260 = 1/20 (work per day).
- Combined rate of X and Y:
- Combined rate = X's rate + Y's rate = 1/26 + 1/20.
- To add these, we find a common denominator (260):
- (10/260) + (13/260) = 23/260.
- Time taken by X and Y together:
- Time = 1 / (combined rate) = 260/23 ≈ 11.304 days.
Understanding Quantity B
Next, we calculate the time taken by 6 men and 6 children to complete the same work.
- Work rate of men: 10 men complete the work in 8 days, so 1 man’s rate = 1/(10 * 8) = 1/80 (work per day).
- Work rate of children: Each child is 75% as efficient as a man, so:
- Child's rate = 0.75 * (1/80) = 3/240 = 1/80 (work per day).
- Combined rate of 6 men and 6 children:
- Combined rate = (6 * 1/80) + (6 * 1/80) = (6/80 + 6/80) = 12/80 = 3/20 (work per day).
- Time taken by 6 men and 6 children:
- Time = 1 / (combined rate) = 20/3 ≈ 6.67 days.
Final Comparison
- Quantity A: ≈ 11.304 days
- Quantity B: ≈ 6.67 days
Thus,
Conclusion
- Since Quantity A (11.304 days) is greater than Quantity B (6.67 days), the correct answer is option D: Quantity A > Quantity B.
To find the time taken by X and Y to complete the work together, we first need to determine their individual work rates.
- X's rate: X completes the work in 26 days. Therefore, X's work rate = 1/26 (work per day).
- Y's efficiency: Y is 30% more efficient than X. Thus, Y's rate = X's rate + 30% of X's rate = 1/26 + 0.3 * (1/26) = 1.3/26 = 13/260 = 1/20 (work per day).
- Combined rate of X and Y:
- Combined rate = X's rate + Y's rate = 1/26 + 1/20.
- To add these, we find a common denominator (260):
- (10/260) + (13/260) = 23/260.
- Time taken by X and Y together:
- Time = 1 / (combined rate) = 260/23 ≈ 11.304 days.
Understanding Quantity B
Next, we calculate the time taken by 6 men and 6 children to complete the same work.
- Work rate of men: 10 men complete the work in 8 days, so 1 man’s rate = 1/(10 * 8) = 1/80 (work per day).
- Work rate of children: Each child is 75% as efficient as a man, so:
- Child's rate = 0.75 * (1/80) = 3/240 = 1/80 (work per day).
- Combined rate of 6 men and 6 children:
- Combined rate = (6 * 1/80) + (6 * 1/80) = (6/80 + 6/80) = 12/80 = 3/20 (work per day).
- Time taken by 6 men and 6 children:
- Time = 1 / (combined rate) = 20/3 ≈ 6.67 days.
Final Comparison
- Quantity A: ≈ 11.304 days
- Quantity B: ≈ 6.67 days
Thus,
Conclusion
- Since Quantity A (11.304 days) is greater than Quantity B (6.67 days), the correct answer is option D: Quantity A > Quantity B.
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Community Answer
Directions: Two quantities A and B are given in the following questio...
Quantity A -
Time taken by X = 26 days.
Efficiency ratio X : Y = 10:13
Time ratio will be opposite of efficiency ratio.
Time taken by Y = 26 × (10 / 13) = 20
Time taken by both =1 / (1 / 20 + 1 / 26) = 260 / 23 = 11.3 days
Quantity B -
Let total work be = 10 × 8 = 80 units (considering 1 men does 1 unit work in a day)
Work done by a child in a day = 75% of 1 unit or 0.75 unit.
Work done by 6 men and 6 children in a day = 6 + 6 × 0.75 = 10.5
Time = 80 / 10.5 = 7.61 days
Hence, Quantity A > Quantity B
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Directions: Two quantities A and B are given in the following questions. You have to find the value to both A and B by using your knowledge of mathematics and choose the most suitable relation between the magnitude of A and B from the given options.Quantity A - Time taken (in days) by X and Y to complete the work together. X takes 26 days alone while Y is 30% more efficient than X.Quantity B - Time taken (in days) by 6 men and 6 children to complete the work. 10 men can complete the work in 8 days. Child is 75% as efficient as men.a)Quantity A ? Quantity Bb)Quantity A ? Quantity Bc)Quantity A = Quantity B or no relationship can be establishedd)Quantity A > Quantity Be)Quantity A Correct answer is option 'D'. Can you explain this answer?
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Directions: Two quantities A and B are given in the following questions. You have to find the value to both A and B by using your knowledge of mathematics and choose the most suitable relation between the magnitude of A and B from the given options.Quantity A - Time taken (in days) by X and Y to complete the work together. X takes 26 days alone while Y is 30% more efficient than X.Quantity B - Time taken (in days) by 6 men and 6 children to complete the work. 10 men can complete the work in 8 days. Child is 75% as efficient as men.a)Quantity A ? Quantity Bb)Quantity A ? Quantity Bc)Quantity A = Quantity B or no relationship can be establishedd)Quantity A > Quantity Be)Quantity A Correct answer is option 'D'. Can you explain this answer? for Banking Exams 2025 is part of Banking Exams preparation. The Question and answers have been prepared according to the Banking Exams exam syllabus. Information about Directions: Two quantities A and B are given in the following questions. You have to find the value to both A and B by using your knowledge of mathematics and choose the most suitable relation between the magnitude of A and B from the given options.Quantity A - Time taken (in days) by X and Y to complete the work together. X takes 26 days alone while Y is 30% more efficient than X.Quantity B - Time taken (in days) by 6 men and 6 children to complete the work. 10 men can complete the work in 8 days. Child is 75% as efficient as men.a)Quantity A ? Quantity Bb)Quantity A ? Quantity Bc)Quantity A = Quantity B or no relationship can be establishedd)Quantity A > Quantity Be)Quantity A Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Banking Exams 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions: Two quantities A and B are given in the following questions. You have to find the value to both A and B by using your knowledge of mathematics and choose the most suitable relation between the magnitude of A and B from the given options.Quantity A - Time taken (in days) by X and Y to complete the work together. X takes 26 days alone while Y is 30% more efficient than X.Quantity B - Time taken (in days) by 6 men and 6 children to complete the work. 10 men can complete the work in 8 days. Child is 75% as efficient as men.a)Quantity A ? Quantity Bb)Quantity A ? Quantity Bc)Quantity A = Quantity B or no relationship can be establishedd)Quantity A > Quantity Be)Quantity A Correct answer is option 'D'. Can you explain this answer?.
Directions: Two quantities A and B are given in the following questions. You have to find the value to both A and B by using your knowledge of mathematics and choose the most suitable relation between the magnitude of A and B from the given options.Quantity A - Time taken (in days) by X and Y to complete the work together. X takes 26 days alone while Y is 30% more efficient than X.Quantity B - Time taken (in days) by 6 men and 6 children to complete the work. 10 men can complete the work in 8 days. Child is 75% as efficient as men.a)Quantity A ? Quantity Bb)Quantity A ? Quantity Bc)Quantity A = Quantity B or no relationship can be establishedd)Quantity A > Quantity Be)Quantity A Correct answer is option 'D'. Can you explain this answer? for Banking Exams 2025 is part of Banking Exams preparation. The Question and answers have been prepared according to the Banking Exams exam syllabus. Information about Directions: Two quantities A and B are given in the following questions. You have to find the value to both A and B by using your knowledge of mathematics and choose the most suitable relation between the magnitude of A and B from the given options.Quantity A - Time taken (in days) by X and Y to complete the work together. X takes 26 days alone while Y is 30% more efficient than X.Quantity B - Time taken (in days) by 6 men and 6 children to complete the work. 10 men can complete the work in 8 days. Child is 75% as efficient as men.a)Quantity A ? Quantity Bb)Quantity A ? Quantity Bc)Quantity A = Quantity B or no relationship can be establishedd)Quantity A > Quantity Be)Quantity A Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Banking Exams 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions: Two quantities A and B are given in the following questions. You have to find the value to both A and B by using your knowledge of mathematics and choose the most suitable relation between the magnitude of A and B from the given options.Quantity A - Time taken (in days) by X and Y to complete the work together. X takes 26 days alone while Y is 30% more efficient than X.Quantity B - Time taken (in days) by 6 men and 6 children to complete the work. 10 men can complete the work in 8 days. Child is 75% as efficient as men.a)Quantity A ? Quantity Bb)Quantity A ? Quantity Bc)Quantity A = Quantity B or no relationship can be establishedd)Quantity A > Quantity Be)Quantity A Correct answer is option 'D'. Can you explain this answer?.
Solutions for Directions: Two quantities A and B are given in the following questions. You have to find the value to both A and B by using your knowledge of mathematics and choose the most suitable relation between the magnitude of A and B from the given options.Quantity A - Time taken (in days) by X and Y to complete the work together. X takes 26 days alone while Y is 30% more efficient than X.Quantity B - Time taken (in days) by 6 men and 6 children to complete the work. 10 men can complete the work in 8 days. Child is 75% as efficient as men.a)Quantity A ? Quantity Bb)Quantity A ? Quantity Bc)Quantity A = Quantity B or no relationship can be establishedd)Quantity A > Quantity Be)Quantity A Correct answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for Banking Exams.
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Directions: Two quantities A and B are given in the following questions. You have to find the value to both A and B by using your knowledge of mathematics and choose the most suitable relation between the magnitude of A and B from the given options.Quantity A - Time taken (in days) by X and Y to complete the work together. X takes 26 days alone while Y is 30% more efficient than X.Quantity B - Time taken (in days) by 6 men and 6 children to complete the work. 10 men can complete the work in 8 days. Child is 75% as efficient as men.a)Quantity A ? Quantity Bb)Quantity A ? Quantity Bc)Quantity A = Quantity B or no relationship can be establishedd)Quantity A > Quantity Be)Quantity A Correct answer is option 'D'. Can you explain this answer?, a detailed solution for Directions: Two quantities A and B are given in the following questions. You have to find the value to both A and B by using your knowledge of mathematics and choose the most suitable relation between the magnitude of A and B from the given options.Quantity A - Time taken (in days) by X and Y to complete the work together. X takes 26 days alone while Y is 30% more efficient than X.Quantity B - Time taken (in days) by 6 men and 6 children to complete the work. 10 men can complete the work in 8 days. Child is 75% as efficient as men.a)Quantity A ? Quantity Bb)Quantity A ? Quantity Bc)Quantity A = Quantity B or no relationship can be establishedd)Quantity A > Quantity Be)Quantity A Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of Directions: Two quantities A and B are given in the following questions. You have to find the value to both A and B by using your knowledge of mathematics and choose the most suitable relation between the magnitude of A and B from the given options.Quantity A - Time taken (in days) by X and Y to complete the work together. X takes 26 days alone while Y is 30% more efficient than X.Quantity B - Time taken (in days) by 6 men and 6 children to complete the work. 10 men can complete the work in 8 days. Child is 75% as efficient as men.a)Quantity A ? Quantity Bb)Quantity A ? Quantity Bc)Quantity A = Quantity B or no relationship can be establishedd)Quantity A > Quantity Be)Quantity A Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
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