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There are four machines and it is known that exactly two of them are faulty. They are tested one by one, in a random order till both the faulty machines are identified. Then the probability that only two tests are needed is

  • a)
    1/2

  • b)
    1

  • c)
    1/3

  • d)
    2/3

Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
There are four machines and it is known that exactly two of them are f...
Faulty and not Faulty and Faulty or Not Faulty and faulty and faulty 
= (2/4) X(2/3) X(1/2) + (2/4) X (2/3) X(1/2) 
= 1/3
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There are four machines and it is known that exactly two of them are f...
Faulty and not Faulty and Faulty or Not Faulty and faulty and faulty 
= (2/4) X(2/3) X(1/2) + (2/4) X (2/3) X(1/2) 
= 1/3
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DIRECTIONS for the question:Go through the graph and the information given below and answer the question that follows.In a factory there are six polishing machines - A, B, C, D, E and F. The factory produces item X. Polishing is the last step of manufacturing process. Each of the machines A, B, C, D, E and F takes 3, 2, 3, 1, 2 and 4 hours respectively to polish one unit of X, which is called one polish time. After polishing each unit the machines need a rest of 3, 1, 1, 2, 2 and 2 hours respectively. Every machine starts polishing at 6.00 a.m. and no machine works after 4.00 p.m. Each unit of item X needs to be polished exactly thrice. These three polishing should be done on three different machines. There should be a time gap of at least two hours between two successive polishings of a unit. The total time taken for an item to be polished is the time taken from the starting of the first polish to the end of the third polish. No polish time has any break in between. No machine takes more or less time than the stipulated rest time between two consecutive polishings in a day.If, due to bad weather, a time gap of at least three hours is needed between every two successive polishings of an item, then what is the least total time required for polishing of the item? (in hours, in numerical valu e) Correct answer is '22'. Can you explain this answer?

DIRECTIONS for the question:Go through the graph and the information given below and answer the question that follows.In a factory there are six polishing machines - A, B, C, D, E and F. The factory produces item X. Polishing is the last step of manufacturing process. Each of the machines A, B, C, D, E and F takes 3, 2, 3, 1, 2 and 4 hours respectively to polish one unit of X, which is called one polish time. After polishing each unit the machines need a rest of 3, 1, 1, 2, 2 and 2 hours respectively. Every machine starts polishing at 6.00 a.m. and no machine works after 4.00 p.m. Each unit of item X needs to be polished exactly thrice. These three polishing should be done on three different machines. There should be a time gap of at least two hours between two successive polishings of a unit. The total time taken for an item to be polished is the time taken from the starting of the first polish to the end of the third polish. No polish time has any break in between. No machine takes more or less time than the stipulated rest time between two consecutive polishings in a day.If the total time taken for completion of polishing an item is the minimum possible, then what can be maximum possible value (in hours) of the sum of the time gaps between any two successive polishings? (in numerical valu e) Correct answer is '5'. Can you explain this answer?

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There are four machines and it is known that exactly two of them are faulty. They are tested one by one, in a random order till both the faulty machines are identified. Then the probability that only two tests are needed isa)1/2b)1c)1/3d)2/3Correct answer is option 'C'. Can you explain this answer?
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There are four machines and it is known that exactly two of them are faulty. They are tested one by one, in a random order till both the faulty machines are identified. Then the probability that only two tests are needed isa)1/2b)1c)1/3d)2/3Correct answer is option 'C'. 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 There are four machines and it is known that exactly two of them are faulty. They are tested one by one, in a random order till both the faulty machines are identified. Then the probability that only two tests are needed isa)1/2b)1c)1/3d)2/3Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for There are four machines and it is known that exactly two of them are faulty. They are tested one by one, in a random order till both the faulty machines are identified. Then the probability that only two tests are needed isa)1/2b)1c)1/3d)2/3Correct answer is option 'C'. Can you explain this answer?.
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