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A, B, C, D and E are five students appearing in an examination in which 10 marks are allotted for each question. A student can score a maximum of 100 marks in the examination. There are 9 questions in the examination of 10 marks each and the score of the student in these is called his Base score. The base score when added to the average of the  9 questions is called the Total score of a student. The data below pertains to the performance of each student out of 90 marks.
 
1. D scored more marks than B.
2. The least base score is 90% and base marks scored by three students are consecutive integers.
3. The average of the least and the highest base scores is same as the mean.
4. A did not score the least base marks.
5. C's base score is in the multiples of three and has less base marks than B and more than A.
6. The average of the base marks is 84 which is also the median.
Q. Find the student whose percentage increase/decrease in the marks was least compared to the marks out of 90?
  • a)
    D
  • b)
    B
  • c)
    A
  • d)
    Percentage increase/decrease remains the same
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
A, B, C, D and E are five students appearing in an examination in whic...
Solution: Let the total marks out of 90 for a student be x. The total marks out of 100 = x + (x/9) .-.The percentage increase = [(x/9)/xj x 100 = (100/9)% So, there will be an increase of (100/9)% irrespective of their individual marks. The percentage increase/decrease in the marks remains the same for all students.
Hence, option 4.
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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, B, C, D and E are five students appearing in an examination in which 10 marks are allotted for each question. A student can score a maximum of 100 marks in the examination. There are 9 questions in the examination of 10 marks each and the score of the student in these is called his Base score. The base score when added to the average of the 9 questions is called the Total score of a student. The data below pertains to the performance of each student out of 90 marks.1. D scored more marks than B.2. The least base score is 90% and base marks scored by three students are consecutive integers.3. The average of the least and the highest base scores is same as the mean.4. A did not score the least base marks.5. C's base score is in the multiples of three and has less base marks than B and more than A.6. The average of the base marks is 84 which is also the median.Q. Find the student whose percentage increase/decrease in the marks was least compared to the marks out of 90?a)Db)Bc)Ad)Percentage increase/decrease remains the sameCorrect answer is option 'D'. Can you explain this answer?
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A, B, C, D and E are five students appearing in an examination in which 10 marks are allotted for each question. A student can score a maximum of 100 marks in the examination. There are 9 questions in the examination of 10 marks each and the score of the student in these is called his Base score. The base score when added to the average of the 9 questions is called the Total score of a student. The data below pertains to the performance of each student out of 90 marks.1. D scored more marks than B.2. The least base score is 90% and base marks scored by three students are consecutive integers.3. The average of the least and the highest base scores is same as the mean.4. A did not score the least base marks.5. C's base score is in the multiples of three and has less base marks than B and more than A.6. The average of the base marks is 84 which is also the median.Q. Find the student whose percentage increase/decrease in the marks was least compared to the marks out of 90?a)Db)Bc)Ad)Percentage increase/decrease remains the sameCorrect 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, B, C, D and E are five students appearing in an examination in which 10 marks are allotted for each question. A student can score a maximum of 100 marks in the examination. There are 9 questions in the examination of 10 marks each and the score of the student in these is called his Base score. The base score when added to the average of the 9 questions is called the Total score of a student. The data below pertains to the performance of each student out of 90 marks.1. D scored more marks than B.2. The least base score is 90% and base marks scored by three students are consecutive integers.3. The average of the least and the highest base scores is same as the mean.4. A did not score the least base marks.5. C's base score is in the multiples of three and has less base marks than B and more than A.6. The average of the base marks is 84 which is also the median.Q. Find the student whose percentage increase/decrease in the marks was least compared to the marks out of 90?a)Db)Bc)Ad)Percentage increase/decrease remains the sameCorrect 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, B, C, D and E are five students appearing in an examination in which 10 marks are allotted for each question. A student can score a maximum of 100 marks in the examination. There are 9 questions in the examination of 10 marks each and the score of the student in these is called his Base score. The base score when added to the average of the 9 questions is called the Total score of a student. The data below pertains to the performance of each student out of 90 marks.1. D scored more marks than B.2. The least base score is 90% and base marks scored by three students are consecutive integers.3. The average of the least and the highest base scores is same as the mean.4. A did not score the least base marks.5. C's base score is in the multiples of three and has less base marks than B and more than A.6. The average of the base marks is 84 which is also the median.Q. Find the student whose percentage increase/decrease in the marks was least compared to the marks out of 90?a)Db)Bc)Ad)Percentage increase/decrease remains the sameCorrect answer is option 'D'. Can you explain this answer?.
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A did not score the least base marks.5. C's base score is in the multiples of three and has less base marks than B and more than A.6. The average of the base marks is 84 which is also the median.Q. Find the student whose percentage increase/decrease in the marks was least compared to the marks out of 90?a)Db)Bc)Ad)Percentage increase/decrease remains the sameCorrect answer is option 'D'. Can you explain this answer?, a detailed solution for A, B, C, D and E are five students appearing in an examination in which 10 marks are allotted for each question. A student can score a maximum of 100 marks in the examination. There are 9 questions in the examination of 10 marks each and the score of the student in these is called his Base score. The base score when added to the average of the 9 questions is called the Total score of a student. The data below pertains to the performance of each student out of 90 marks.1. D scored more marks than B.2. 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The base score when added to the average of the 9 questions is called the Total score of a student. The data below pertains to the performance of each student out of 90 marks.1. D scored more marks than B.2. The least base score is 90% and base marks scored by three students are consecutive integers.3. The average of the least and the highest base scores is same as the mean.4. A did not score the least base marks.5. C's base score is in the multiples of three and has less base marks than B and more than A.6. The average of the base marks is 84 which is also the median.Q. Find the student whose percentage increase/decrease in the marks was least compared to the marks out of 90?a)Db)Bc)Ad)Percentage increase/decrease remains the sameCorrect answer is option 'D'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice A, B, C, D and E are five students appearing in an examination in which 10 marks are allotted for each question. 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