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Direction: Given below are three quantities named A, B and C. Based on the given information, you have to determine the relation between these three quantities. You should use the given data and your knowledge of mathematics to choose among the possible answer.
If A, B, C can do a job working alone in 12, 16, 24 days respectively.
Quantity A: They all work together for 3 days, then C quits. How many days will A and B take to finish the rest of the job?
Quantity B: A and B work for 6 days. Then they left the work, remaining work is done by C alone in ___ days
Quantity C: A, B and C work alternately for 6 days, remaining work is done by A and C together in ___ days
- a)Quantity A < quantity="" b="" /> Quantity C
- b)Quantity A > Quantity B < quantity="" />
- c)Quantity A = Quantity B < quantity="" />
- d)Quantity A = Quantity B > Quantity C
- e)Quantity A = Quantity B = Quantity C
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
Direction: Given below are three quantities named A, B and C. Based o...
Total work = LCM (12, 16, 24) = 48 unit
=> Efficiency of A = 48/12 = 4 unit/day
=> Efficiency of B = 48/16 = 3 unit/day
=> Efficiency of C = 48/24 = 2 unit/day
Quantity A:
Work done by A, B and C together in 3 days = 3 × (4 + 3 + 2) = 27 unit
=> Remaining work = 48 – 27 = 21 unit
21 unit of work done by A and B in = 21/(4 + 3) = 3 days
Quantity B:
Work done by A and B together in 6 days = 6 × (4 + 3) = 42 unit
=> Remaining work = 48 – 42 = 6 unit
6 unit of work done by C in = 6/2 = 3 days
Quantity C:
Work done by A, B and C in 6 days alternately = 2 × (4 + 3 + 2) = 18 unit
=> Remaining work = 48 – 18 = 30 unit
30 unit of work done by A and C in = 30/(4 + 2) = 5 days
? Quantity A = Quantity B < quantity="" />
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Direction: Given below are three quantities named A, B and C. Based o...
Understanding the Work Rates
To compare the quantities A, B, and C, we first calculate their work rates.
- A can complete the job in 12 days, so A's rate = 1/12 of the job per day.
- B can complete the job in 16 days, so B's rate = 1/16 of the job per day.
- C can complete the job in 24 days, so C's rate = 1/24 of the job per day.
Quantity A: Work Together for 3 Days
- Combined rate of A, B, and C = 1/12 + 1/16 + 1/24.
- Finding a common denominator (48):
- A's contribution = 4/48
- B's contribution = 3/48
- C's contribution = 2/48
- Combined rate = (4 + 3 + 2) / 48 = 9/48 = 3/16 of the job per day.
In 3 days:
- Work done = 3 * (3/16) = 9/16 of the job.
Remaining work = 1 - 9/16 = 7/16 of the job.
- A and B's combined rate = 1/12 + 1/16 = 7/48 of the job per day.
- Days to finish remaining work = (7/16) / (7/48) = 48/16 = 3 days.
Quantity B: A and B Work for 6 Days
- Work done by A and B in 6 days = 6 * (7/48) = 7/8 of the job.
- Remaining work = 1 - 7/8 = 1/8 of the job.
- C's time to finish remaining work = (1/8) / (1/24) = 3 days.
Quantity C: Alternating Work for 6 Days
Assuming A works on days 1, 3, 5 and C on days 2, 4, 6:
- Work done = 6 * (1/12 + 1/24) = 6 * (2/24 + 1/24) = 6 * (3/24) = 3/4 of the job.
- Remaining work = 1 - 3/4 = 1/4 of the job.
- A and C's combined rate = 1/12 + 1/24 = 1/8 of the job per day.
- Days to finish remaining work = (1/4) / (1/8) = 2 days.
Conclusion
- Quantity A: 3 days
- Quantity B: 3 days
- Quantity C: 2 days
Thus, the relation is Quantity A = Quantity B > Quantity C, leading to the correct answer being option 'C'.
To compare the quantities A, B, and C, we first calculate their work rates.
- A can complete the job in 12 days, so A's rate = 1/12 of the job per day.
- B can complete the job in 16 days, so B's rate = 1/16 of the job per day.
- C can complete the job in 24 days, so C's rate = 1/24 of the job per day.
Quantity A: Work Together for 3 Days
- Combined rate of A, B, and C = 1/12 + 1/16 + 1/24.
- Finding a common denominator (48):
- A's contribution = 4/48
- B's contribution = 3/48
- C's contribution = 2/48
- Combined rate = (4 + 3 + 2) / 48 = 9/48 = 3/16 of the job per day.
In 3 days:
- Work done = 3 * (3/16) = 9/16 of the job.
Remaining work = 1 - 9/16 = 7/16 of the job.
- A and B's combined rate = 1/12 + 1/16 = 7/48 of the job per day.
- Days to finish remaining work = (7/16) / (7/48) = 48/16 = 3 days.
Quantity B: A and B Work for 6 Days
- Work done by A and B in 6 days = 6 * (7/48) = 7/8 of the job.
- Remaining work = 1 - 7/8 = 1/8 of the job.
- C's time to finish remaining work = (1/8) / (1/24) = 3 days.
Quantity C: Alternating Work for 6 Days
Assuming A works on days 1, 3, 5 and C on days 2, 4, 6:
- Work done = 6 * (1/12 + 1/24) = 6 * (2/24 + 1/24) = 6 * (3/24) = 3/4 of the job.
- Remaining work = 1 - 3/4 = 1/4 of the job.
- A and C's combined rate = 1/12 + 1/24 = 1/8 of the job per day.
- Days to finish remaining work = (1/4) / (1/8) = 2 days.
Conclusion
- Quantity A: 3 days
- Quantity B: 3 days
- Quantity C: 2 days
Thus, the relation is Quantity A = Quantity B > Quantity C, leading to the correct answer being option 'C'.
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Direction: Given below are three quantities named A, B and C. Based on the given information, you have to determine the relation between these three quantities. You should use the given data and your knowledge of mathematics to choose among the possible answer.If A, B, C can do a job working alone in 12, 16, 24 days respectively.Quantity A: They all work together for 3 days, then C quits. How many days will A and B take to finish the rest of the job?Quantity B: A and B work for 6 days. Then they left the work, remaining work is done by C alone in ___ daysQuantity C: A, B and C work alternately for 6 days, remaining work is done by A and C together in ___ daysa)Quantity A Quantity Cb)Quantity A > Quantity B c)Quantity A = Quantity B d)Quantity A = Quantity B > Quantity Ce)Quantity A = Quantity B = Quantity CCorrect answer is option 'C'. Can you explain this answer?
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Direction: Given below are three quantities named A, B and C. Based on the given information, you have to determine the relation between these three quantities. You should use the given data and your knowledge of mathematics to choose among the possible answer.If A, B, C can do a job working alone in 12, 16, 24 days respectively.Quantity A: They all work together for 3 days, then C quits. How many days will A and B take to finish the rest of the job?Quantity B: A and B work for 6 days. Then they left the work, remaining work is done by C alone in ___ daysQuantity C: A, B and C work alternately for 6 days, remaining work is done by A and C together in ___ daysa)Quantity A Quantity Cb)Quantity A > Quantity B c)Quantity A = Quantity B d)Quantity A = Quantity B > Quantity Ce)Quantity A = Quantity B = Quantity CCorrect answer is option 'C'. Can you explain this answer? for Banking Exams 2024 is part of Banking Exams preparation. The Question and answers have been prepared according to the Banking Exams exam syllabus. Information about Direction: Given below are three quantities named A, B and C. Based on the given information, you have to determine the relation between these three quantities. You should use the given data and your knowledge of mathematics to choose among the possible answer.If A, B, C can do a job working alone in 12, 16, 24 days respectively.Quantity A: They all work together for 3 days, then C quits. How many days will A and B take to finish the rest of the job?Quantity B: A and B work for 6 days. Then they left the work, remaining work is done by C alone in ___ daysQuantity C: A, B and C work alternately for 6 days, remaining work is done by A and C together in ___ daysa)Quantity A Quantity Cb)Quantity A > Quantity B c)Quantity A = Quantity B d)Quantity A = Quantity B > Quantity Ce)Quantity A = Quantity B = Quantity CCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Banking Exams 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Direction: Given below are three quantities named A, B and C. Based on the given information, you have to determine the relation between these three quantities. You should use the given data and your knowledge of mathematics to choose among the possible answer.If A, B, C can do a job working alone in 12, 16, 24 days respectively.Quantity A: They all work together for 3 days, then C quits. How many days will A and B take to finish the rest of the job?Quantity B: A and B work for 6 days. Then they left the work, remaining work is done by C alone in ___ daysQuantity C: A, B and C work alternately for 6 days, remaining work is done by A and C together in ___ daysa)Quantity A Quantity Cb)Quantity A > Quantity B c)Quantity A = Quantity B d)Quantity A = Quantity B > Quantity Ce)Quantity A = Quantity B = Quantity CCorrect answer is option 'C'. Can you explain this answer?.
Direction: Given below are three quantities named A, B and C. Based on the given information, you have to determine the relation between these three quantities. You should use the given data and your knowledge of mathematics to choose among the possible answer.If A, B, C can do a job working alone in 12, 16, 24 days respectively.Quantity A: They all work together for 3 days, then C quits. How many days will A and B take to finish the rest of the job?Quantity B: A and B work for 6 days. Then they left the work, remaining work is done by C alone in ___ daysQuantity C: A, B and C work alternately for 6 days, remaining work is done by A and C together in ___ daysa)Quantity A Quantity Cb)Quantity A > Quantity B c)Quantity A = Quantity B d)Quantity A = Quantity B > Quantity Ce)Quantity A = Quantity B = Quantity CCorrect answer is option 'C'. Can you explain this answer? for Banking Exams 2024 is part of Banking Exams preparation. The Question and answers have been prepared according to the Banking Exams exam syllabus. Information about Direction: Given below are three quantities named A, B and C. Based on the given information, you have to determine the relation between these three quantities. You should use the given data and your knowledge of mathematics to choose among the possible answer.If A, B, C can do a job working alone in 12, 16, 24 days respectively.Quantity A: They all work together for 3 days, then C quits. How many days will A and B take to finish the rest of the job?Quantity B: A and B work for 6 days. Then they left the work, remaining work is done by C alone in ___ daysQuantity C: A, B and C work alternately for 6 days, remaining work is done by A and C together in ___ daysa)Quantity A Quantity Cb)Quantity A > Quantity B c)Quantity A = Quantity B d)Quantity A = Quantity B > Quantity Ce)Quantity A = Quantity B = Quantity CCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Banking Exams 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Direction: Given below are three quantities named A, B and C. Based on the given information, you have to determine the relation between these three quantities. You should use the given data and your knowledge of mathematics to choose among the possible answer.If A, B, C can do a job working alone in 12, 16, 24 days respectively.Quantity A: They all work together for 3 days, then C quits. How many days will A and B take to finish the rest of the job?Quantity B: A and B work for 6 days. Then they left the work, remaining work is done by C alone in ___ daysQuantity C: A, B and C work alternately for 6 days, remaining work is done by A and C together in ___ daysa)Quantity A Quantity Cb)Quantity A > Quantity B c)Quantity A = Quantity B d)Quantity A = Quantity B > Quantity Ce)Quantity A = Quantity B = Quantity CCorrect answer is option 'C'. Can you explain this answer?.
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Direction: Given below are three quantities named A, B and C. Based on the given information, you have to determine the relation between these three quantities. You should use the given data and your knowledge of mathematics to choose among the possible answer.If A, B, C can do a job working alone in 12, 16, 24 days respectively.Quantity A: They all work together for 3 days, then C quits. How many days will A and B take to finish the rest of the job?Quantity B: A and B work for 6 days. Then they left the work, remaining work is done by C alone in ___ daysQuantity C: A, B and C work alternately for 6 days, remaining work is done by A and C together in ___ daysa)Quantity A Quantity Cb)Quantity A > Quantity B c)Quantity A = Quantity B d)Quantity A = Quantity B > Quantity Ce)Quantity A = Quantity B = Quantity CCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for Direction: Given below are three quantities named A, B and C. Based on the given information, you have to determine the relation between these three quantities. You should use the given data and your knowledge of mathematics to choose among the possible answer.If A, B, C can do a job working alone in 12, 16, 24 days respectively.Quantity A: They all work together for 3 days, then C quits. How many days will A and B take to finish the rest of the job?Quantity B: A and B work for 6 days. Then they left the work, remaining work is done by C alone in ___ daysQuantity C: A, B and C work alternately for 6 days, remaining work is done by A and C together in ___ daysa)Quantity A Quantity Cb)Quantity A > Quantity B c)Quantity A = Quantity B d)Quantity A = Quantity B > Quantity Ce)Quantity A = Quantity B = Quantity CCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of Direction: Given below are three quantities named A, B and C. Based on the given information, you have to determine the relation between these three quantities. You should use the given data and your knowledge of mathematics to choose among the possible answer.If A, B, C can do a job working alone in 12, 16, 24 days respectively.Quantity A: They all work together for 3 days, then C quits. How many days will A and B take to finish the rest of the job?Quantity B: A and B work for 6 days. Then they left the work, remaining work is done by C alone in ___ daysQuantity C: A, B and C work alternately for 6 days, remaining work is done by A and C together in ___ daysa)Quantity A Quantity Cb)Quantity A > Quantity B c)Quantity A = Quantity B d)Quantity A = Quantity B > Quantity Ce)Quantity A = Quantity B = Quantity CCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Direction: Given below are three quantities named A, B and C. Based on the given information, you have to determine the relation between these three quantities. You should use the given data and your knowledge of mathematics to choose among the possible answer.If A, B, C can do a job working alone in 12, 16, 24 days respectively.Quantity A: They all work together for 3 days, then C quits. How many days will A and B take to finish the rest of the job?Quantity B: A and B work for 6 days. Then they left the work, remaining work is done by C alone in ___ daysQuantity C: A, B and C work alternately for 6 days, remaining work is done by A and C together in ___ daysa)Quantity A Quantity Cb)Quantity A > Quantity B c)Quantity A = Quantity B d)Quantity A = Quantity B > Quantity Ce)Quantity A = Quantity B = Quantity CCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice Banking Exams tests.
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