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Group Question
Answer the following question based on the information given below.
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.
  • a)
    5
  • b)
    7
  • c)
    3
  • d)
    Cannot be determined
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Group QuestionAnswer the following question based on the information g...
Let a be the number of students who have taken the XAT examination, secured 96 percentile or more, have work experience of more than 3 years but are not university toppers.
b : (XAT, at least 96 percentile, University topper, Work experience)
c : (XAT, less than 96 percentile, University topper, Work experience)
d: (CAT, at least 96 percentile, not a University topper, Work experience)
e : (CAT, at least 96 percentile, University topper, Work experience)
/: (CAT, less than 96 percentile, University topper, Work experience)
g : (CAT, less than 96 percentile, not a University topper, Work experience)
h : (CAT, at least 96 percentile, not a University topper, Fresher)
i: (CAT, at least 96 percentile, University topper, Fresher)
j : (CAT, less than 96 percentile, University topper, Fresher)
k: (CAT, less than 96 percentile, not a University topper, Fresher)
/: (XAT, at least 96 percentile, not a University topper, Fresher)
m : (XAT, at least 96 percentile, University topper, Fresher)
n : (XAT, less than 96 percentile, University topper, Fresher)
o : (XAT, less than 96 percentile, not a University topper, Fresher)
v Every student who has been absorbed by the institute must have secured at least 96 percentile in the examination he or she has taken, or must be a University topper,
g — k — o - 0
Total number of students = 80
From (I), there were 45 university toppers.
Therefore, the remaining 35 students were not university toppers, i.e. a + d + h +1 = 80 — 45 = 35    ... (i)
Also, of these 45 university toppers, 33.33% (i.e. 15 students) were freshers while 66.66% (i.e. 30 students) had taken the CAT examination. This means that the remaining 30 students had work experience of more than 3 years, and that 15 students had taken the XAT examination.
-j + n= 15                                                              (ii)
and b + c + e + /= 30                                     ... (iii)
ande+f+j = 30                                                  ... (iv)
andb + c + n=5                                           ... (v)
From (VII), we have e + /= 20                             ... (vi)
Using (iv) and (vi), we have j = 10                       ... (vii)
Using (ii) and (vii), we have n - 5                        ... (viii)
From (V), 30 students had appeared for XAT and of these 15 were freshers.
 
•*•/ + «= 15                                                          ... (ix)
and a + b + c= 15                                       ... (x)
Using (viii) and (ix), we have j = l = 10
Also, using (viii) and (v), we have b + c = 10 ... (xi)
Using (x) and (xi), we have a = 5                            ... (xii)
From (VIII), there were 40 students who had a work experience greater than 3 years. ••• a + b + c + d+ e+ /= 40      ... (ix)
Using (x) and (vi), we have d = 5
Using (i) and the values of a, d and l obtained above, we have h = 15
From (VI), we have b + e = 15. Using this result with b + c = 10, we have e = c + 5
••• We have,
The number of students that the college has absorbed who had work experience, were also university top 10 rankers, had taken the CAT examination and had secured more than 96 percentile in the examination they had taken was c + 5.
v The value of c cannot be computed,
••• The answer cannot be determined.
Hence, option 4.
This question is part of UPSC exam. View all CAT courses
Most Upvoted Answer
Group QuestionAnswer the following question based on the information g...
Explanation:

Given Information:
- 80 students were selected for the PGP course.
- Selection criteria included either securing 96 percentile in CAT or XAT or being a university topper.
- Freshers must have either secured 96 percentile or been a university topper.
- Students with more than 3 years of work experience must have secured 96 percentile and been a university topper.

Analysis:
- From the given information, it is clear that the number of students who meet both criteria (96 percentile and university topper) is not explicitly mentioned.
- The information provided only gives details about the students who met each criterion separately or in combination with other criteria.
- Since the number of students who satisfy both conditions is not specified, it is not possible to determine the exact number of students who satisfy the given conditions.

Conclusion:
- Based on the information provided, the exact number of students who meet both criteria cannot be determined.
- Therefore, the correct answer is option 'D) Cannot be determined'.
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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.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?

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 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?

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Group QuestionAnswer the following question based on the information given below.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.a)5b)7c)3d)Cannot be determinedCorrect answer is option 'D'. Can you explain this answer?
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Group QuestionAnswer the following question based on the information given below.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.a)5b)7c)3d)Cannot be determinedCorrect 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 Group QuestionAnswer the following question based on the information given below.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.a)5b)7c)3d)Cannot be determinedCorrect 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 Group QuestionAnswer the following question based on the information given below.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.a)5b)7c)3d)Cannot be determinedCorrect answer is option 'D'. Can you explain this answer?.
Solutions for Group QuestionAnswer the following question based on the information given below.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.a)5b)7c)3d)Cannot be determinedCorrect answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT. Download more important topics, notes, lectures and mock test series for CAT Exam by signing up for free.
Here you can find the meaning of Group QuestionAnswer the following question based on the information given below.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.a)5b)7c)3d)Cannot be determinedCorrect answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Group QuestionAnswer the following question based on the information given below.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.a)5b)7c)3d)Cannot be determinedCorrect answer is option 'D'. Can you explain this answer?, a detailed solution for Group QuestionAnswer the following question based on the information given below.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.a)5b)7c)3d)Cannot be determinedCorrect answer is option 'D'. Can you explain this answer? has been provided alongside types of Group QuestionAnswer the following question based on the information given below.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.a)5b)7c)3d)Cannot be determinedCorrect answer is option 'D'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Group QuestionAnswer the following question based on the information given below.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.a)5b)7c)3d)Cannot be determinedCorrect answer is option 'D'. Can you explain this answer? tests, examples and also practice CAT tests.
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