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Three persons named A, B and C work in succession to build a machine. At first, Person A works alone and builds 1/3rd of the machine and then leaves. After person A leaves, person B works alone and builds 1/4th of the remaining machine and then leaves. After person B leaves, person C works alone and builds 1/5th of the remaining machine and then leaves. What fraction of the machine remains to be built?
  • a)
    1/5
  • b)
    2/5
  • c)
    3/7
  • d)
    13/60
  • e)
    5/8
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Three persons named A, B and C work in succession to build a machine. ...
Step 1: Question statement and Inferences
Assume the amount of work, which is to build the machine, be M. The work has been done in stages.
Step 2: Finding required values
Work done by 
Note that ‘B’ finishes a fraction of the remaining work. Therefore, we must the find work remaining at this stage.
Remaining work =  
Work done by B = 
Note that ‘C’ finishes a fraction of the remaining work. Therefore, we must find the work remaining at this stage.
Remaining work = 
Work done by C = 1th/5   of remaining work
Remaining work =
Step 3: Calculating the final answer
The fraction of machine that remains to be built =RemainingworkTotalwork
(B) is the correct answer.
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Most Upvoted Answer
Three persons named A, B and C work in succession to build a machine. ...
Solution:
Let us assume that the total work is represented by 'W'. Then, we have:

Person A completes 1/3rd of the machine, so the remaining work is (2/3)W.
Person B completes 1/4th of the remaining machine, so the work remaining after B is (3/4) × (2/3)W = (1/2)W.
Person C completes 1/5th of the remaining machine, so the work remaining after C is (4/5) × (1/2)W = (2/5)W.

Therefore, the fraction of the machine that remains to be built is (2/5) or option B.

Explanation:
The problem involves successive work done by three persons, and we need to find the fraction of the machine that remains to be built after all three persons have worked. To solve the problem, we use the concept of fractions to represent the work done by each person and the work remaining after each person completes their part.

We start by assuming that the total work is represented by 'W'. Then, we use fractions to represent the work done by each person. Person A completes 1/3rd of the machine, so the remaining work is (2/3)W. Person B completes 1/4th of the remaining machine, so the work remaining after B is (3/4) × (2/3)W = (1/2)W. Person C completes 1/5th of the remaining machine, so the work remaining after C is (4/5) × (1/2)W = (2/5)W.

Therefore, the fraction of the machine that remains to be built is (2/5) or option B.
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Community Answer
Three persons named A, B and C work in succession to build a machine. ...
B
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Three persons named A, B and C work in succession to build a machine. At first, Person A works alone and builds 1/3rdof the machine and then leaves. After person A leaves, person B works alone and builds 1/4thof the remaining machine and then leaves. After person B leaves, person C works alone and builds 1/5thof the remaining machine and then leaves. What fraction of the machine remains to be built?a)1/5b)2/5c)3/7d)13/60e)5/8Correct answer is option 'B'. Can you explain this answer?
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Three persons named A, B and C work in succession to build a machine. At first, Person A works alone and builds 1/3rdof the machine and then leaves. After person A leaves, person B works alone and builds 1/4thof the remaining machine and then leaves. After person B leaves, person C works alone and builds 1/5thof the remaining machine and then leaves. What fraction of the machine remains to be built?a)1/5b)2/5c)3/7d)13/60e)5/8Correct answer is option 'B'. Can you explain this answer? for GMAT 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about Three persons named A, B and C work in succession to build a machine. At first, Person A works alone and builds 1/3rdof the machine and then leaves. After person A leaves, person B works alone and builds 1/4thof the remaining machine and then leaves. After person B leaves, person C works alone and builds 1/5thof the remaining machine and then leaves. What fraction of the machine remains to be built?a)1/5b)2/5c)3/7d)13/60e)5/8Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Three persons named A, B and C work in succession to build a machine. At first, Person A works alone and builds 1/3rdof the machine and then leaves. After person A leaves, person B works alone and builds 1/4thof the remaining machine and then leaves. After person B leaves, person C works alone and builds 1/5thof the remaining machine and then leaves. What fraction of the machine remains to be built?a)1/5b)2/5c)3/7d)13/60e)5/8Correct answer is option 'B'. Can you explain this answer?.
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