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In the placement season of a leading management institute, all the available placements were offered to the prospective candidates in such a way that all the candidates got at least one job. The placements were from the following industries: Infrastructure, Services and Consultancy. None of the candidates got more than one job from the same industry.
There were 15 candidates who got placed in exactly one industry, while the number of candidates who got placed in all the three industries was not more than 5. The number of candidates who got placed in at least two industries, one of which is Services, was more than those who got placed in Infrastructure as well as Consultancy. The number of candidates who did not get placed in Services was the same as those who did not get placed in Consultancy, but was different from those who did not get placed in Infrastructure.
The number of candidates who got placed in Services as well as Consultancy was one more than those who got placed in Infrastructure as well as Services, but was one less than those who got placed in Infrastructure as well as Consultancy. The number of candidates who got placed only in Infrastructure was the same as those who got placed in Services as well as Consultancy, but not in Infrastructure.
It was further known that the number of prospective candidates that this institute had was less than 40.
If there were a maximum of 35 candidates in the institute then which of the following statements is/are definitely true?
  • a)
    The offered placements cannot be redistributed so that each candidate gets atleast the placements that he did not have before
  • b)
    There were total of 9 candidates who got placed in exactly two
     industries.
  • c)
    Both A and B
  • d)
    Data inconsistent
Correct answer is option 'C'. Can you explain this answer?
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In the placement season of a leading management institute, all the ava...
If there were a maximum of 35 candidates then only case 1 would be possible, and the range of students can be from 24-29.
Consider the candidates who had got placed in say: Infrastructure is 9+y and those who did not get placed in Infrastructure was 15. The maximum possible value of y is 5; hence the number of candidates who got placed in Infrastructure can be atmost 14. Hence redistribution is not possible.
Hence statement 1 is definitely true.
Statement 2 is evident as the number of candidates who got placed in two industries was 9.
Hence both the statements are true.
Hence, option 3.
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Most Upvoted Answer
In the placement season of a leading management institute, all the ava...

Explanation:

Given Information:
- Total number of candidates is less than 40.
- Each candidate got at least one job.
- No candidate got more than one job in the same industry.
- Number of candidates who got placed in all three industries is not more than 5.
- Number of candidates not placed in Services is the same as those not placed in Consultancy.
- Number of candidates not placed in Infrastructure is different from those not placed in Services.
- Number of candidates placed in at least two industries, one of which is Services, is more than those placed in Infrastructure and Consultancy.
- Number of candidates placed in Services and Consultancy is one more than those placed in Infrastructure and Services, and one less than those placed in Infrastructure and Consultancy.
- Number of candidates placed only in Infrastructure is the same as those placed in Services and Consultancy, but not in Infrastructure.

Analysis:
- To maximize the number of candidates and satisfy the given conditions, we assume 5 candidates got placed in all three industries.
- The remaining candidates must be distributed in various combinations to meet the given conditions.

True Statements:
- A: The offered placements cannot be redistributed so that each candidate gets at least the placements that he did not have before. (As each candidate already has at least one job, it is not possible to redistribute placements to meet the given conditions).
- B: There were a total of 9 candidates who got placed in exactly two industries. (Since 5 candidates were placed in all three industries, the remaining candidates can be distributed in such a way that 9 candidates get placed in exactly two industries).
- C: Both A and B. (Both statements A and B are true based on the given conditions).

Therefore, the correct answer is option C.
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In the placement season of a leading management institute, all the available placements were offered to the prospective candidates in such a way that all the candidates got at least one job. The placements were from the following industries: Infrastructure, Services and Consultancy. None of the candidates got more than one job from the same industry.There were 15 candidates who got placed in exactly one industry, while the number of candidates who got placed in all the three industries was not more than 5. The number of candidates who got placed in at least two industries, one of which is Services, was more than those who got placed in Infrastructure as well as Consultancy. The number of candidates who did not get placed in Services was the same as those who did not get placed in Consultancy, but was different from those who did not get placed in Infrastructure.The number of candidates who got placed in Services as well as Consultancy was one more than those who got placed in Infrastructure as well as Services, but was one less than those who got placed in Infrastructure as well as Consultancy. The number of candidates who got placed only in Infrastructure was the same as those who got placed in Services as well as Consultancy, but not in Infrastructure.It was further known that the number of prospective candidates that this institute had was less than 40.Which of the following can be the number of candidates in this institute?

Group QuestionAnswer the following question based on the information given below.In the placement season of a leading management institute, all the available placements were offered to the prospective candidates in such a way that all the candidates got at least one job. The placements were from the following industries: Infrastructure, Services and Consultancy. None of the candidates got more than one job from the same industry.There were 15 candidates who got placed in exactly one industry, while the number of candidates who got placed in all the three industries was not more than 5. The number of candidates who got placed in at least two industries, one of which is Services, was more than those who got placed in Infrastructure as well as Consultancy. The number of candidates who did not get placed in Services was the same as those who did not get placed in Consultancy, but was different from those who did not get placed in Infrastructure.The number of candidates who got placed in Services as well as Consultancy was one more than those who got placed in Infrastructure as well as Services, but was one less than those who got placed in Infrastructure as well as Consultancy. The number of candidates who got placed only in Infrastructure was the same as those who got placed in Services as well as Consultancy, but not in Infrastructure.It was further known that the number of prospective candidates that this institute had was less than 40.What was the maximum possible number of placements that were offeredto the candidates in this institute?

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In the placement season of a leading management institute, all the available placements were offered to the prospective candidates in such a way that all the candidates got at least one job. The placements were from the following industries: Infrastructure, Services and Consultancy. None of the candidates got more than one job from the same industry.There were 15 candidates who got placed in exactly one industry, while the number of candidates who got placed in all the three industries was not more than 5. The number of candidates who got placed in at least two industries, one of which is Services, was more than those who got placed in Infrastructure as well as Consultancy. The number of candidates who did not get placed in Services was the same as those who did not get placed in Consultancy, but was different from those who did not get placed in Infrastructure.The number of candidates who got placed in Services as well as Consultancy was one more than those who got placed in Infrastructure as well as Services, but was one less than those who got placed in Infrastructure as well as Consultancy. The number of candidates who got placed only in Infrastructure was the same as those who got placed in Services as well as Consultancy, but not in Infrastructure.It was further known that the number of prospective candidates that this institute had was less than 40.If there were a maximum of 35 candidates in the institute then which of the following statements is/are definitely true?a)The offered placements cannot be redistributed so that each candidate gets atleast the placements that he did not have beforeb)There were total of 9 candidates who got placed in exactly twoindustries.c)Both A and Bd)Data inconsistentCorrect answer is option 'C'. Can you explain this answer?
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In the placement season of a leading management institute, all the available placements were offered to the prospective candidates in such a way that all the candidates got at least one job. The placements were from the following industries: Infrastructure, Services and Consultancy. None of the candidates got more than one job from the same industry.There were 15 candidates who got placed in exactly one industry, while the number of candidates who got placed in all the three industries was not more than 5. The number of candidates who got placed in at least two industries, one of which is Services, was more than those who got placed in Infrastructure as well as Consultancy. The number of candidates who did not get placed in Services was the same as those who did not get placed in Consultancy, but was different from those who did not get placed in Infrastructure.The number of candidates who got placed in Services as well as Consultancy was one more than those who got placed in Infrastructure as well as Services, but was one less than those who got placed in Infrastructure as well as Consultancy. The number of candidates who got placed only in Infrastructure was the same as those who got placed in Services as well as Consultancy, but not in Infrastructure.It was further known that the number of prospective candidates that this institute had was less than 40.If there were a maximum of 35 candidates in the institute then which of the following statements is/are definitely true?a)The offered placements cannot be redistributed so that each candidate gets atleast the placements that he did not have beforeb)There were total of 9 candidates who got placed in exactly twoindustries.c)Both A and Bd)Data inconsistentCorrect 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 In the placement season of a leading management institute, all the available placements were offered to the prospective candidates in such a way that all the candidates got at least one job. The placements were from the following industries: Infrastructure, Services and Consultancy. None of the candidates got more than one job from the same industry.There were 15 candidates who got placed in exactly one industry, while the number of candidates who got placed in all the three industries was not more than 5. The number of candidates who got placed in at least two industries, one of which is Services, was more than those who got placed in Infrastructure as well as Consultancy. The number of candidates who did not get placed in Services was the same as those who did not get placed in Consultancy, but was different from those who did not get placed in Infrastructure.The number of candidates who got placed in Services as well as Consultancy was one more than those who got placed in Infrastructure as well as Services, but was one less than those who got placed in Infrastructure as well as Consultancy. The number of candidates who got placed only in Infrastructure was the same as those who got placed in Services as well as Consultancy, but not in Infrastructure.It was further known that the number of prospective candidates that this institute had was less than 40.If there were a maximum of 35 candidates in the institute then which of the following statements is/are definitely true?a)The offered placements cannot be redistributed so that each candidate gets atleast the placements that he did not have beforeb)There were total of 9 candidates who got placed in exactly twoindustries.c)Both A and Bd)Data inconsistentCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. 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The number of candidates who did not get placed in Services was the same as those who did not get placed in Consultancy, but was different from those who did not get placed in Infrastructure.The number of candidates who got placed in Services as well as Consultancy was one more than those who got placed in Infrastructure as well as Services, but was one less than those who got placed in Infrastructure as well as Consultancy. The number of candidates who got placed only in Infrastructure was the same as those who got placed in Services as well as Consultancy, but not in Infrastructure.It was further known that the number of prospective candidates that this institute had was less than 40.If there were a maximum of 35 candidates in the institute then which of the following statements is/are definitely true?a)The offered placements cannot be redistributed so that each candidate gets atleast the placements that he did not have beforeb)There were total of 9 candidates who got placed in exactly twoindustries.c)Both A and Bd)Data inconsistentCorrect answer is option 'C'. Can you explain this answer?.
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The number of candidates who got placed only in Infrastructure was the same as those who got placed in Services as well as Consultancy, but not in Infrastructure.It was further known that the number of prospective candidates that this institute had was less than 40.If there were a maximum of 35 candidates in the institute then which of the following statements is/are definitely true?a)The offered placements cannot be redistributed so that each candidate gets atleast the placements that he did not have beforeb)There were total of 9 candidates who got placed in exactly twoindustries.c)Both A and Bd)Data inconsistentCorrect answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of In the placement season of a leading management institute, all the available placements were offered to the prospective candidates in such a way that all the candidates got at least one job. The placements were from the following industries: Infrastructure, Services and Consultancy. None of the candidates got more than one job from the same industry.There were 15 candidates who got placed in exactly one industry, while the number of candidates who got placed in all the three industries was not more than 5. The number of candidates who got placed in at least two industries, one of which is Services, was more than those who got placed in Infrastructure as well as Consultancy. The number of candidates who did not get placed in Services was the same as those who did not get placed in Consultancy, but was different from those who did not get placed in Infrastructure.The number of candidates who got placed in Services as well as Consultancy was one more than those who got placed in Infrastructure as well as Services, but was one less than those who got placed in Infrastructure as well as Consultancy. The number of candidates who got placed only in Infrastructure was the same as those who got placed in Services as well as Consultancy, but not in Infrastructure.It was further known that the number of prospective candidates that this institute had was less than 40.If there were a maximum of 35 candidates in the institute then which of the following statements is/are definitely true?a)The offered placements cannot be redistributed so that each candidate gets atleast the placements that he did not have beforeb)There were total of 9 candidates who got placed in exactly twoindustries.c)Both A and Bd)Data inconsistentCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for In the placement season of a leading management institute, all the available placements were offered to the prospective candidates in such a way that all the candidates got at least one job. The placements were from the following industries: Infrastructure, Services and Consultancy. 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The number of candidates who got placed only in Infrastructure was the same as those who got placed in Services as well as Consultancy, but not in Infrastructure.It was further known that the number of prospective candidates that this institute had was less than 40.If there were a maximum of 35 candidates in the institute then which of the following statements is/are definitely true?a)The offered placements cannot be redistributed so that each candidate gets atleast the placements that he did not have beforeb)There were total of 9 candidates who got placed in exactly twoindustries.c)Both A and Bd)Data inconsistentCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of In the placement season of a leading management institute, all the available placements were offered to the prospective candidates in such a way that all the candidates got at least one job. The placements were from the following industries: Infrastructure, Services and Consultancy. None of the candidates got more than one job from the same industry.There were 15 candidates who got placed in exactly one industry, while the number of candidates who got placed in all the three industries was not more than 5. The number of candidates who got placed in at least two industries, one of which is Services, was more than those who got placed in Infrastructure as well as Consultancy. The number of candidates who did not get placed in Services was the same as those who did not get placed in Consultancy, but was different from those who did not get placed in Infrastructure.The number of candidates who got placed in Services as well as Consultancy was one more than those who got placed in Infrastructure as well as Services, but was one less than those who got placed in Infrastructure as well as Consultancy. The number of candidates who got placed only in Infrastructure was the same as those who got placed in Services as well as Consultancy, but not in Infrastructure.It was further known that the number of prospective candidates that this institute had was less than 40.If there were a maximum of 35 candidates in the institute then which of the following statements is/are definitely true?a)The offered placements cannot be redistributed so that each candidate gets atleast the placements that he did not have beforeb)There were total of 9 candidates who got placed in exactly twoindustries.c)Both A and Bd)Data inconsistentCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice In the placement season of a leading management institute, all the available placements were offered to the prospective candidates in such a way that all the candidates got at least one job. The placements were from the following industries: Infrastructure, Services and Consultancy. None of the candidates got more than one job from the same industry.There were 15 candidates who got placed in exactly one industry, while the number of candidates who got placed in all the three industries was not more than 5. The number of candidates who got placed in at least two industries, one of which is Services, was more than those who got placed in Infrastructure as well as Consultancy. The number of candidates who did not get placed in Services was the same as those who did not get placed in Consultancy, but was different from those who did not get placed in Infrastructure.The number of candidates who got placed in Services as well as Consultancy was one more than those who got placed in Infrastructure as well as Services, but was one less than those who got placed in Infrastructure as well as Consultancy. The number of candidates who got placed only in Infrastructure was the same as those who got placed in Services as well as Consultancy, but not in Infrastructure.It was further known that the number of prospective candidates that this institute had was less than 40.If there were a maximum of 35 candidates in the institute then which of the following statements is/are definitely true?a)The offered placements cannot be redistributed so that each candidate gets atleast the placements that he did not have beforeb)There were total of 9 candidates who got placed in exactly twoindustries.c)Both A and Bd)Data inconsistentCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice CAT tests.
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