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?

EduRev

All Courses

Explore Courses UPSC Exam UPSC Test Series Free Notes EduRev Infinity

Open App

CAT Exam > CAT Questions > A, B, C, D and E are five students appearing ...

Join the Discussion on the App

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?

FREE This question is part of

CAT Practice Test - 16

Attempt Test

Attempt this Test

Verified Answer

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.

View all questions of this test

Most Upvoted Answer

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

Attention CAT Students!

To make sure you are not studying endlessly, EduRev has designed CAT study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in CAT.

Quantitative Aptitude (Quant)

Crash Course for CAT

CAT Mock Test Series 2024

3 Months Preparation for CAT

View all answers Start learning for free

< Previous Question Next Question >

Explore Courses for CAT exam

Similar CAT Doubts

Answer the following question based on the information given below.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 least marks awarded in one question amongst all students?

View answer

Group QuestionAnswer the following question based on the information given below.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 is the difference between the total marks of the students who scored highest and second lowest marks respectively?

View answer

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. Find the student whose percentage increase/decrease in the marks was least compared to the marks out of 90?

View answer

Group QuestionAnswer the following question based on the information given below.Eight paper slips numbered from 1 to 8, have a question each from either LR-DI or QA or VCA area. The total number of questions from any of the area in all the slips put together is at least one and not more than three. These slips were then picked up by eight students: A, B, C, D, E, F, G and H, who are seated linearly from left to right in that order.Also,1. No two questions from same area belong to any two consecutively numbered slips.2. No two consecutively seated students picked up a question from either VCA or LR-DI area.3. Three consecutively seated students picked up questions from QA area.4. A and G picked up question from LR-DI and VCA area respectively.Q. From which area did D pick up the question?

View answer

Directions for Questions: The first-year students in a business school are split into six sections. In 2019 the Business Statistics course was taught in these six sections by Annie, Beti, Chetan, Dave, Esha, and Fakir. All six sections had a common midterm (MT) and a common end term (ET) worth 100 marks each. ET contained more questions than MT. Questions for MT and ET were prepared collectively by the six faculty members. Considering MT and ET together, each faculty member prepared the same number of questions.Each of MT and ET had at least four questions that were worth 5 marks, at least three questions that were worth 10 marks, and at least two questions that were worth 15 marks. In both MT and ET, all the 5-mark questions preceded the 10-mark questions, and all the 15- mark questions followed the 10-mark questions.The following additional facts are known.i. Annie prepared the fifth question for both MT and ET. For MT, this question carried 5 marks.ii. Annie prepared one question for MT. Every other faculty member prepared more than one questions for MT.iii. All questions prepared by a faculty member appeared consecutively in MT as well as ET.iv. Chelan prepared the third question in both MT and ET: and Esha prepared the eighth question in both.v. Fakir prepared the first question of MT and the last one in ET. Dave prepared the last question of MT and the first one in ET.(2019)Q. How many 5-mark questions were there in MT and ET combined?

View answer

Top Courses for CATView all

Quantitative Aptitude (Quant)

Crash Course for CAT

CAT Mock Test Series 2024

3 Months Preparation for CAT

CAT Mock Test Series and 500+ Practice Tests 2024

Top Courses for CAT

View all

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?

Share with a Friend

Answer this doubt

Question Description
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?.

Solutions 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? 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 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? defined & explained in the simplest way possible. Besides giving the explanation of 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?, 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. 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? has been provided alongside types of 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? 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. 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? tests, examples and also practice CAT tests.

Explore Courses for CAT exam