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A leading management institute recently absorbed a batch of 80 students for its two-year PGP course in management.
The criteria for selection were as follows:
I.     The candidate should have taken exactly one of the CAT or XAT examinations.
II.     The candidate must have :
a. Secured atleast 96 percentile in the examination he or she had written. OR
b. Secured a rank among the top 10 students in his or her university examination (university topper).
III.   The candidate must either be a fresher or have work experience of more than 3 years.
Further information on the students the Institute had absorbed is as follows:
IV.   There were 45 students who had secured a rank among the top 10 students in their university examination. Of this, 33.3 % were freshers while 66.66% had appeared for CAT.
     V. 30 students had taken the XAT examination, of which 15 were freshers.
VI. Of the students who had work experience greater than 3 years, 15 students were university toppers (i.e. in the top 10) and these students had also secured 96 or more percentile in the examination they had taken.
VII. There were 20 students who had taken the CAT examination, had secured a rank among the top 10 students in their university examination, and also had work experience of more than 3 years.
VIII. There were a total of 40 students who had work experience of more than 3 years.
IX.  No fresher satisfied both the criteria mentioned in (II) above.
If 24 students had appeared for CAT and were university toppers (i.e. among the top 10) but did not secure 96 percentile in the examination they had taken, then how many of the selected students had taken the XAT examination, secured more than 96 percentile in the examination they had taken, and were among the toppers in their respective university examinations?
  • a)
    4
  • b)
    7
  • c)
    9
  • d)
    0
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
A leading management institute recently absorbed a batch of 80 student...
Consider the solution to the first question.
There were 24 students who had taken the CAT examination and were university toppers but did not secure 96 percentile in the examination they had taken,
i.e. (15 - c) + 10 = 24
c = 1
The number of students who had taken the XAT examination, had secured more than 96 percentile in the examination they had taken, and were among the toppers in their respective university examinations is (10 -c)+ 0=10-1=9
Hence, option 3.
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Most Upvoted Answer
A leading management institute recently absorbed a batch of 80 student...
Understanding the Selection Criteria
To solve the problem, we need to analyze the selection criteria and the given data about the students.
Criteria Breakdown
- Examination Taken: Candidates could only take either CAT or XAT.
- Performance Requirement: Candidates needed to either:
- Secure at least 96 percentile OR
- Rank among the top 10 in their university examination.
- Work Experience: Candidates had to be freshers or have more than 3 years of work experience.
Key Information from the Data
- Top 10 University Toppers: 45 students were university toppers.
- 33.3% were freshers (approximately 15).
- 66.66% had taken CAT (approximately 30).
- XAT Examination: 30 students took XAT, with 15 being freshers.
- Work Experience:
- 40 students had more than 3 years of experience.
- 15 university toppers had more than 3 years of experience and secured 96 percentile or higher.
- CAT Toppers: 24 students were university toppers who did not secure 96 percentile.
Analyzing the XAT Takers
From the above details, we note:
- Since 24 CAT toppers did not secure 96 percentile, they cannot count towards the requirement of securing more than 96 percentile.
- The 15 university toppers with more than 3 years of experience are already accounted for as they secured 96 percentile.
Conclusion
Given that no fresher satisfied both criteria and all university toppers who did not secure 96 percentile have been accounted for, it follows that:
- No student who took the XAT examination, secured more than 96 percentile, and was among the toppers in their respective universities exists.
Thus, the answer is 0, confirming that option 'D' is correct.
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A leading management institute recently absorbed a batch of 80 students for its two-yearPGP course in management.The criteria for selection were as follows:I. The candidate should have taken exactly one of the CAT or XAT examinations.II. The candidate must have :a.Secured atleast 96 percentile in the examination he or she had written. ORb.Secured a rank among the top 10 students in his or her university examination (university topper).III. The candidate must either be a fresher or have work experience of more than 3 years.Further information on the students the Institute had absorbed is as follows:IV. There were 45 students who had secured a rank among the top 10 students in their university examination. Of this, 33.3 % were freshers while 66.66% had appeared for CAT. V. 30 students had taken the XAT examination, of which 15 were freshers.VI.Of the students who had work experience greater than 3 years, 15 students were university toppers (i.e. in the top 10) and these students had also secured 96 or more percentile in the examination they had taken.VII.There were 20 students who had taken the CAT examination, had secured a rank among the top 10 students in their university examination, and also had work experience of more than 3 years.VIII.There were a total of 40 students who had work experience of more than 3 years.IX. No fresher satisfied both the criteria mentioned in (II) above.How many of the students who had taken the XAT examination, managed to secure at least 96 percentile in the examination they had taken, but were neither university toppers nor freshers?

A leading management institute recently absorbed a batch of 80 students for its two-yearPGP course in management.The criteria for selection were as follows:I. The candidate should have taken exactly one of the CAT or XAT examinations.II. The candidate must have :a.Secured atleast 96 percentile in the examination he or she had written. ORb.Secured a rank among the top 10 students in his or her university examination (university topper).III. The candidate must either be a fresher or have work experience of more than 3 years.Further information on the students the Institute had absorbed is as follows:IV. There were 45 students who had secured a rank among the top 10 students in their university examination. Of this, 33.3 % were freshers while 66.66% had appeared for CAT. V. 30 students had taken the XAT examination, of which 15 were freshers.VI.Of the students who had work experience greater than 3 years, 15 students were university toppers (i.e. in the top 10) and these students had also secured 96 or more percentile in the examination they had taken.VII.There were 20 students who had taken the CAT examination, had secured a rank among the top 10 students in their university examination, and also had work experience of more than 3 years.VIII.There were a total of 40 students who had work experience of more than 3 years.IX. No fresher satisfied both the criteria mentioned in (II) above.What percent of the total students absorbed by the Institute were University 3 toppers who had also secured more than 96 percentile in the XAT?

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A leading management institute recently absorbed a batch of 80 students for its two-yearPGP course in management.The criteria for selection were as follows:I. The candidate should have taken exactly one of the CAT or XAT examinations.II. The candidate must have :a.Secured atleast 96 percentile in the examination he or she had written. ORb.Secured a rank among the top 10 students in his or her university examination (university topper).III. The candidate must either be a fresher or have work experience of more than 3 years.Further information on the students the Institute had absorbed is as follows:IV. There were 45 students who had secured a rank among the top 10 students in their university examination. Of this, 33.3 % were freshers while 66.66% had appeared for CAT. V. 30 students had taken the XAT examination, of which 15 were freshers.VI.Of the students who had work experience greater than 3 years, 15 students were university toppers (i.e. in the top 10) and these students had also secured 96 or more percentile in the examination they had taken.VII.There were 20 students who had taken the CAT examination, had secured a rank among the top 10 students in their university examination, and also had work experience of more than 3 years.VIII.There were a total of 40 students who had work experience of more than 3 years.IX. No fresher satisfied both the criteria mentioned in (II) above.If 24 students had appeared for CAT and were university toppers (i.e. among the top10) but did not secure 96 percentile in the examination they had taken, then howmany of the selected students had taken the XAT examination, secured more than 96 percentile in the examination they had taken, and were among the toppers in their respective university examinations?a)4b)7c)9d)0Correct answer is option 'D'. Can you explain this answer?
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A leading management institute recently absorbed a batch of 80 students for its two-yearPGP course in management.The criteria for selection were as follows:I. The candidate should have taken exactly one of the CAT or XAT examinations.II. The candidate must have :a.Secured atleast 96 percentile in the examination he or she had written. ORb.Secured a rank among the top 10 students in his or her university examination (university topper).III. The candidate must either be a fresher or have work experience of more than 3 years.Further information on the students the Institute had absorbed is as follows:IV. There were 45 students who had secured a rank among the top 10 students in their university examination. Of this, 33.3 % were freshers while 66.66% had appeared for CAT. V. 30 students had taken the XAT examination, of which 15 were freshers.VI.Of the students who had work experience greater than 3 years, 15 students were university toppers (i.e. in the top 10) and these students had also secured 96 or more percentile in the examination they had taken.VII.There were 20 students who had taken the CAT examination, had secured a rank among the top 10 students in their university examination, and also had work experience of more than 3 years.VIII.There were a total of 40 students who had work experience of more than 3 years.IX. No fresher satisfied both the criteria mentioned in (II) above.If 24 students had appeared for CAT and were university toppers (i.e. among the top10) but did not secure 96 percentile in the examination they had taken, then howmany of the selected students had taken the XAT examination, secured more than 96 percentile in the examination they had taken, and were among the toppers in their respective university examinations?a)4b)7c)9d)0Correct answer is option 'D'. 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 A leading management institute recently absorbed a batch of 80 students for its two-yearPGP course in management.The criteria for selection were as follows:I. The candidate should have taken exactly one of the CAT or XAT examinations.II. The candidate must have :a.Secured atleast 96 percentile in the examination he or she had written. ORb.Secured a rank among the top 10 students in his or her university examination (university topper).III. The candidate must either be a fresher or have work experience of more than 3 years.Further information on the students the Institute had absorbed is as follows:IV. There were 45 students who had secured a rank among the top 10 students in their university examination. Of this, 33.3 % were freshers while 66.66% had appeared for CAT. V. 30 students had taken the XAT examination, of which 15 were freshers.VI.Of the students who had work experience greater than 3 years, 15 students were university toppers (i.e. in the top 10) and these students had also secured 96 or more percentile in the examination they had taken.VII.There were 20 students who had taken the CAT examination, had secured a rank among the top 10 students in their university examination, and also had work experience of more than 3 years.VIII.There were a total of 40 students who had work experience of more than 3 years.IX. No fresher satisfied both the criteria mentioned in (II) above.If 24 students had appeared for CAT and were university toppers (i.e. among the top10) but did not secure 96 percentile in the examination they had taken, then howmany of the selected students had taken the XAT examination, secured more than 96 percentile in the examination they had taken, and were among the toppers in their respective university examinations?a)4b)7c)9d)0Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A leading management institute recently absorbed a batch of 80 students for its two-yearPGP course in management.The criteria for selection were as follows:I. The candidate should have taken exactly one of the CAT or XAT examinations.II. The candidate must have :a.Secured atleast 96 percentile in the examination he or she had written. ORb.Secured a rank among the top 10 students in his or her university examination (university topper).III. The candidate must either be a fresher or have work experience of more than 3 years.Further information on the students the Institute had absorbed is as follows:IV. There were 45 students who had secured a rank among the top 10 students in their university examination. Of this, 33.3 % were freshers while 66.66% had appeared for CAT. V. 30 students had taken the XAT examination, of which 15 were freshers.VI.Of the students who had work experience greater than 3 years, 15 students were university toppers (i.e. in the top 10) and these students had also secured 96 or more percentile in the examination they had taken.VII.There were 20 students who had taken the CAT examination, had secured a rank among the top 10 students in their university examination, and also had work experience of more than 3 years.VIII.There were a total of 40 students who had work experience of more than 3 years.IX. No fresher satisfied both the criteria mentioned in (II) above.If 24 students had appeared for CAT and were university toppers (i.e. among the top10) but did not secure 96 percentile in the examination they had taken, then howmany of the selected students had taken the XAT examination, secured more than 96 percentile in the examination they had taken, and were among the toppers in their respective university examinations?a)4b)7c)9d)0Correct answer is option 'D'. Can you explain this answer?.
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V. 30 students had taken the XAT examination, of which 15 were freshers.VI.Of the students who had work experience greater than 3 years, 15 students were university toppers (i.e. in the top 10) and these students had also secured 96 or more percentile in the examination they had taken.VII.There were 20 students who had taken the CAT examination, had secured a rank among the top 10 students in their university examination, and also had work experience of more than 3 years.VIII.There were a total of 40 students who had work experience of more than 3 years.IX. No fresher satisfied both the criteria mentioned in (II) above.If 24 students had appeared for CAT and were university toppers (i.e. among the top10) but did not secure 96 percentile in the examination they had taken, then howmany of the selected students had taken the XAT examination, secured more than 96 percentile in the examination they had taken, and were among the toppers in their respective university examinations?a)4b)7c)9d)0Correct answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of A leading management institute recently absorbed a batch of 80 students for its two-yearPGP course in management.The criteria for selection were as follows:I. The candidate should have taken exactly one of the CAT or XAT examinations.II. The candidate must have :a.Secured atleast 96 percentile in the examination he or she had written. ORb.Secured a rank among the top 10 students in his or her university examination (university topper).III. The candidate must either be a fresher or have work experience of more than 3 years.Further information on the students the Institute had absorbed is as follows:IV. There were 45 students who had secured a rank among the top 10 students in their university examination. Of this, 33.3 % were freshers while 66.66% had appeared for CAT. V. 30 students had taken the XAT examination, of which 15 were freshers.VI.Of the students who had work experience greater than 3 years, 15 students were university toppers (i.e. in the top 10) and these students had also secured 96 or more percentile in the examination they had taken.VII.There were 20 students who had taken the CAT examination, had secured a rank among the top 10 students in their university examination, and also had work experience of more than 3 years.VIII.There were a total of 40 students who had work experience of more than 3 years.IX. No fresher satisfied both the criteria mentioned in (II) above.If 24 students had appeared for CAT and were university toppers (i.e. among the top10) but did not secure 96 percentile in the examination they had taken, then howmany of the selected students had taken the XAT examination, secured more than 96 percentile in the examination they had taken, and were among the toppers in their respective university examinations?a)4b)7c)9d)0Correct answer is option 'D'. Can you explain this answer?, a detailed solution for A leading management institute recently absorbed a batch of 80 students for its two-yearPGP course in management.The criteria for selection were as follows:I. The candidate should have taken exactly one of the CAT or XAT examinations.II. The candidate must have :a.Secured atleast 96 percentile in the examination he or she had written. ORb.Secured a rank among the top 10 students in his or her university examination (university topper).III. The candidate must either be a fresher or have work experience of more than 3 years.Further information on the students the Institute had absorbed is as follows:IV. There were 45 students who had secured a rank among the top 10 students in their university examination. Of this, 33.3 % were freshers while 66.66% had appeared for CAT. V. 30 students had taken the XAT examination, of which 15 were freshers.VI.Of the students who had work experience greater than 3 years, 15 students were university toppers (i.e. in the top 10) and these students had also secured 96 or more percentile in the examination they had taken.VII.There were 20 students who had taken the CAT examination, had secured a rank among the top 10 students in their university examination, and also had work experience of more than 3 years.VIII.There were a total of 40 students who had work experience of more than 3 years.IX. No fresher satisfied both the criteria mentioned in (II) above.If 24 students had appeared for CAT and were university toppers (i.e. among the top10) but did not secure 96 percentile in the examination they had taken, then howmany of the selected students had taken the XAT examination, secured more than 96 percentile in the examination they had taken, and were among the toppers in their respective university examinations?a)4b)7c)9d)0Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of A leading management institute recently absorbed a batch of 80 students for its two-yearPGP course in management.The criteria for selection were as follows:I. The candidate should have taken exactly one of the CAT or XAT examinations.II. The candidate must have :a.Secured atleast 96 percentile in the examination he or she had written. ORb.Secured a rank among the top 10 students in his or her university examination (university topper).III. The candidate must either be a fresher or have work experience of more than 3 years.Further information on the students the Institute had absorbed is as follows:IV. There were 45 students who had secured a rank among the top 10 students in their university examination. Of this, 33.3 % were freshers while 66.66% had appeared for CAT. V. 30 students had taken the XAT examination, of which 15 were freshers.VI.Of the students who had work experience greater than 3 years, 15 students were university toppers (i.e. in the top 10) and these students had also secured 96 or more percentile in the examination they had taken.VII.There were 20 students who had taken the CAT examination, had secured a rank among the top 10 students in their university examination, and also had work experience of more than 3 years.VIII.There were a total of 40 students who had work experience of more than 3 years.IX. No fresher satisfied both the criteria mentioned in (II) above.If 24 students had appeared for CAT and were university toppers (i.e. among the top10) but did not secure 96 percentile in the examination they had taken, then howmany of the selected students had taken the XAT examination, secured more than 96 percentile in the examination they had taken, and were among the toppers in their respective university examinations?a)4b)7c)9d)0Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice A leading management institute recently absorbed a batch of 80 students for its two-yearPGP course in management.The criteria for selection were as follows:I. The candidate should have taken exactly one of the CAT or XAT examinations.II. The candidate must have :a.Secured atleast 96 percentile in the examination he or she had written. ORb.Secured a rank among the top 10 students in his or her university examination (university topper).III. The candidate must either be a fresher or have work experience of more than 3 years.Further information on the students the Institute had absorbed is as follows:IV. There were 45 students who had secured a rank among the top 10 students in their university examination. Of this, 33.3 % were freshers while 66.66% had appeared for CAT. V. 30 students had taken the XAT examination, of which 15 were freshers.VI.Of the students who had work experience greater than 3 years, 15 students were university toppers (i.e. in the top 10) and these students had also secured 96 or more percentile in the examination they had taken.VII.There were 20 students who had taken the CAT examination, had secured a rank among the top 10 students in their university examination, and also had work experience of more than 3 years.VIII.There were a total of 40 students who had work experience of more than 3 years.IX. No fresher satisfied both the criteria mentioned in (II) above.If 24 students had appeared for CAT and were university toppers (i.e. among the top10) but did not secure 96 percentile in the examination they had taken, then howmany of the selected students had taken the XAT examination, secured more than 96 percentile in the examination they had taken, and were among the toppers in their respective university examinations?a)4b)7c)9d)0Correct answer is option 'D'. Can you explain this answer? tests, examples and also practice CAT tests.
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