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. Cs 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. What can be the minimum number of questions in which C getsfull marks?a)4b)3c)2d)Cannot be determinedCorrect answer is option 'B'. Can you explain this answer?

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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. What can be the minimum number of questions in which C gets full marks?

a)
4
b)
3
c)
2
d)
Cannot be determined

Correct answer is option 'B'. Can you explain this answer?

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A, B, C, D and E are five students appearing in an examination in whic...

Solution: From the solution to the previous question the scores are 81, 83, 84, 85 and 87 in increasing order From (5) C has scored 84 marks.
If C scores 10 marks in all questions then he gets 90 marks. We reduce 1 marks from as many questions as we can. We can reduce it from 6 questions to get a score of 84. Hence, full marks in atleast 3 questions are still needed to reach the score of 84.
Hence, option 2.

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A, B, C, D and E are five students appearing in an examination in whic...

Analysis:

Given Information:
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.

Solution:

To find the minimum number of questions in which C gets full marks, we need to consider the given information carefully.

- Since D scored more marks than B, D's base score must be higher than B's base score.
- The least base score is 90%, so the base marks scored by three students must be 90%, 91%, and 92%.
- The average of the least and the highest base scores is the same as the mean, which means the average base score is (90% + 92%) / 2 = 91%. This is also the median, which is 84%.
- A did not score the least base marks, so A's base score is either 91% or 92%.
- C's base score is in multiples of three and is between A and B's base scores. Since A's base score is either 91% or 92% and B's base score is 91%, C's base score must be 93%.
- To calculate the minimum number of questions in which C gets full marks, we subtract C's base score (93%) from the total marks (100%) and divide by 10 (marks per question). This gives us 7, which means C needs to get full marks in at least 3 questions.

Therefore, the minimum number of questions in which C gets full marks is 3.

Answered by Wizius Careers · View profile

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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. What can be the minimum number of questions in which C getsfull marks?a)4b)3c)2d)Cannot be determinedCorrect answer is option 'B'. 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. What can be the minimum number of questions in which C getsfull marks?a)4b)3c)2d)Cannot be determinedCorrect answer is option 'B'. 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. What can be the minimum number of questions in which C getsfull marks?a)4b)3c)2d)Cannot be determinedCorrect answer is option 'B'. 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. What can be the minimum number of questions in which C getsfull marks?a)4b)3c)2d)Cannot be determinedCorrect answer is option 'B'. Can you explain this answer?.

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