All Courses
Explore Courses UPSC Exam UPSC Test Series Free Notes EduRev Infinity Get the App Login Join for Free
Sign in Open App
CAT Exam  >  CAT Questions  >  The average marks of students A, B and C are ... Start Learning for Free
SaveJoin the Discussion on the App
The average marks of students A, B and C are 48. Another student (D) joins the group and the new average becomes 44 marks. If again, another student (E), who has three marks more than D, joins the group, the average of students B, C, D and E becomes 43 marks. How many marks did A get in the exam?
  • a)
    39
  • b)
    42
  • c)
    47
  • d)
    48
Correct answer is option 'A'. Can you explain this answer?
FREE This question is part of
Download PDF Attempt Test
Download PDF Attempt this Test
Most Upvoted Answer
The average marks of students A, B and C are 48. Another student (D) j...
A + B + C = 48 × 3 = 144 ............(i)
A + B + C + D = 44 × 4 = 176 ............(ii)
(ii) - (i) gives, D = 176 - 144 = 32
Marks of E = 32 + 3 = 35
B + C + D + E = 43 × 4 = 172
B + C + D = 172 - 35 = 137 .........(iii)
(ii) - (iii) gives,
A = 176 - 137
A = 39
Free Test
FREE
Start Free Test
Start Free Test
Community Answer
The average marks of students A, B and C are 48. Another student (D) j...
Let's assume that the initial average marks of students A, B, and C are x.

1. Average of A, B, and C = x
Sum of marks of A, B, and C = 3x

2. After student D joins, the new average becomes 44 marks.
Average of A, B, C, and D = 44
Sum of marks of A, B, C, and D = 4 * 44 = 176

3. After student E joins, who has three marks more than D, the average of B, C, D, and E becomes 43 marks.
Average of B, C, D, and E = 43
Sum of marks of B, C, D, and E = 4 * 43 = 172

Let's calculate the marks of student D using the above information:

Sum of marks of A, B, C, and D = 176
Sum of marks of B, C, D, and E = 172

Substituting the sum of marks values:
3x + D = 176
B + C + D + (D + 3) = 172

Simplifying the equations:
3x + D = 176 ---(1)
2B + 2C + 2D + 3 = 172 ---(2)

From equation (2), we can simplify it to:
B + C + D = 169 ---(3)

Substituting equation (3) in equation (1):
3x + 169 = 176
3x = 7
x = 7/3

Since the average marks cannot be in fractional values, we can conclude that x = 2.

Therefore, the average marks of A, B, and C is 2.

Sum of marks of A, B, and C = 3 * 2 = 6

Subtracting the sum of marks of A, B, and C from the sum of marks of A, B, C, and D:
176 - 6 = 170

Therefore, the marks scored by student D is 170.

Hence, the correct answer is option A) 39, as A scored 6 marks.
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.
< 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?

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?

After grading the examination papers of a class of 18 students, a teacher noticed that when arranged in ascending or descending order, the scores formed an arithmetic progression. When the teacher was done recording the marks of the students, calculating average score of the class and finalizing individual ranks of the students (rank 1 being awarded to the student with highest marks), she noticed that the number of papers that had been graded was one more than the number of her students. It was then found that the paper of a student of another class was present in the l o t . Due to this mix up, the teacher had to rearrange the scores and calculate the average marks of her class. To her surprise, the average remained the same as before. What was the rank of the student of the other class in the initial arrangement?

Top Courses for CATView all

Top Courses for CAT

The average marks of students A, B and C are 48. Another student (D) joins the group and the new average becomes 44 marks. If again, another student (E), who has three marks more than D, joins the group, the average of students B, C, D and E becomes 43 marks. How many marks did A get in the exam?a)39b)42c)47d)48Correct answer is option 'A'. Can you explain this answer?
Question Description
The average marks of students A, B and C are 48. Another student (D) joins the group and the new average becomes 44 marks. If again, another student (E), who has three marks more than D, joins the group, the average of students B, C, D and E becomes 43 marks. How many marks did A get in the exam?a)39b)42c)47d)48Correct answer is option 'A'. 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 The average marks of students A, B and C are 48. Another student (D) joins the group and the new average becomes 44 marks. If again, another student (E), who has three marks more than D, joins the group, the average of students B, C, D and E becomes 43 marks. How many marks did A get in the exam?a)39b)42c)47d)48Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The average marks of students A, B and C are 48. Another student (D) joins the group and the new average becomes 44 marks. If again, another student (E), who has three marks more than D, joins the group, the average of students B, C, D and E becomes 43 marks. How many marks did A get in the exam?a)39b)42c)47d)48Correct answer is option 'A'. Can you explain this answer?.
Solutions for The average marks of students A, B and C are 48. Another student (D) joins the group and the new average becomes 44 marks. If again, another student (E), who has three marks more than D, joins the group, the average of students B, C, D and E becomes 43 marks. How many marks did A get in the exam?a)39b)42c)47d)48Correct answer is option 'A'. 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 The average marks of students A, B and C are 48. Another student (D) joins the group and the new average becomes 44 marks. If again, another student (E), who has three marks more than D, joins the group, the average of students B, C, D and E becomes 43 marks. How many marks did A get in the exam?a)39b)42c)47d)48Correct answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of The average marks of students A, B and C are 48. Another student (D) joins the group and the new average becomes 44 marks. If again, another student (E), who has three marks more than D, joins the group, the average of students B, C, D and E becomes 43 marks. How many marks did A get in the exam?a)39b)42c)47d)48Correct answer is option 'A'. Can you explain this answer?, a detailed solution for The average marks of students A, B and C are 48. Another student (D) joins the group and the new average becomes 44 marks. If again, another student (E), who has three marks more than D, joins the group, the average of students B, C, D and E becomes 43 marks. How many marks did A get in the exam?a)39b)42c)47d)48Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of The average marks of students A, B and C are 48. Another student (D) joins the group and the new average becomes 44 marks. If again, another student (E), who has three marks more than D, joins the group, the average of students B, C, D and E becomes 43 marks. How many marks did A get in the exam?a)39b)42c)47d)48Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice The average marks of students A, B and C are 48. Another student (D) joins the group and the new average becomes 44 marks. If again, another student (E), who has three marks more than D, joins the group, the average of students B, C, D and E becomes 43 marks. How many marks did A get in the exam?a)39b)42c)47d)48Correct answer is option 'A'. Can you explain this answer? tests, examples and also practice CAT tests.
Explore Courses for CAT exam

Top Courses for CAT

Explore Courses

Suggested Free Tests

Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev
Get App
© EduRev
Education Revolution
Follow Us
Signup to see your scores go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup