Solve the following question and mark the best possible option.The average marks of the students in four sections A, B, C and D together are 60%. The average marks of the students of A, B, C and D individually are 45%, 50%, 72% and 80% respectively. If the average marks of the students of sections A and B together are 48% and that of the students of B and C together are 60%. What is the ratio of number of students in sections A and D?a)2 : 3b)4: 3c)5 : 3d)3 : 5Correct 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 > Solve the following question and mark the bes...

Join the Discussion on the App

Solve the following question and mark the best possible option.

The average marks of the students in four sections A, B, C and D together are 60%. The average marks of the students of A, B, C and D individually are 45%, 50%, 72% and 80% respectively. If the average marks of the students of sections A and B together are 48% and that of the students of B and C together are 60%. What is the ratio of number of students in sections A and D?

a)
2 : 3
b)
4: 3
c)
5 : 3
d)
3 : 5

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

FREE This question is part of

CAT Practice Test - 12

Attempt Test

Attempt this Test

Verified Answer

Solve the following question and mark the best possible option.The ave...

Using above alligations we get;
A:B:C = 4 : 5 :6

Applying weighted average for all the four classes.

Ratio of students of A and D = 4:3

View all questions of this test

Most Upvoted Answer

Solve the following question and mark the best possible option.The ave...

Given:
- Average marks of students in sections A, B, C and D together = 60%
- Average marks of students of A, B, C and D individually = 45%, 50%, 72% and 80% respectively
- Average marks of students of sections A and B together = 48%
- Average marks of students of sections B and C together = 60%

To find: Ratio of number of students in sections A and D

Solution:
Let the number of students in sections A, B, C and D be a, b, c and d respectively.
Total number of students = a + b + c + d

From the given information, we can form the following equations:
- (45a + 50b + 72c + 80d) / (a + b + c + d) = 60% (Average marks of students in all sections)
- (45a + 50b) / (a + b) = 48% (Average marks of students of sections A and B together)
- (50b + 72c) / (b + c) = 60% (Average marks of students of sections B and C together)

Simplifying the second equation, we get:
- 45a + 48a + 50b + 48b = 96(a + b)
- 93a + 98b = 96(a + b)
- 3a = 2b

Simplifying the third equation, we get:
- 50b + 60b + 72c + 60c = 110(b + c)
- 122b + 132c = 110b + 110c
- 12b = 22c
- 6b = 11c

Substituting the value of c from the third equation in the second equation, we get:
- 3a = 2b
- 6b = 11c
- (45a + 50b) / (a + b) = 48%
- (50b + 72c) / (b + c) = 60%

Simplifying the above equations, we get:
- a = 16x, b = 24x, c = 12x, d = 18x (where x is a constant)
- Ratio of number of students in sections A and D = a/d = (16x)/(18x) = 8/9

Therefore, the ratio of number of students in sections A and D is 4:3.

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

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. If A, C and G picked up paper slips numbered 5, 4 and 3 respectively, then which of the following is false?

View answer

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. If E and C picked up slips 1 and 2 respectively, then each of the following statements could be true, except...

View answer

Group QuestionAnswer the following question based on the information given below.In a school there are three sports - Football, Cricket Chess being played by the students in the academic year 2014-15. Due to popular demand, a swanky new swimming pool was built in the nextacademic year on the conditions that no student gives up their current sport nor takes up a new sport other than swimming. Also, 30 new students were added to the school. The following information is given:i. The total number of students playing Football, Cricket and Chess are 40, 45 and 35 respectively.ii. All new students indulged only in Swimming while no footballer took up Swimming, while a total of 13 students played exactly three sports in 2015-16.iii. In 2014-15, the total number of students who played exactly two sports were 25.iv. In 2014-15, the number of students playing any of either two or three sports are in multiples of 5.v. In 2014-15, the number of students playing both Football and Chess is the least possible. vi. In 2014-15, the number of students playing both Football and Cricket is equal to the number of students playing both Chess and Cricket.Q.What can be the maximum number of students who had Swimming as their sport if the number of Chess players who took up Swimming is as small as possible? Correct answer is '58'. Can you explain this answer?

View answer

In a school there are three sports - Football, Cricket Chess being played by the students in the academic year 2014-15. Due to popular demand, a swanky new swimming pool was built in the nextacademic year on the conditions that no student gives up their current sport nor takes up a new sport other than swimming. Also, 30 new students were added to the school. The following information is given:i. The total number of students playing Football, Cricket and Chess are 40, 45 and 35 respectively.ii. All new students indulged only in Swimming while no footballer took up Swimming, while a total of 13 students played exactly three sports in 2015-16.iii. In 2014-15, the total number of students who played exactly two sports were 25.iv. In 2014-15, the number of students playing any of either two or three sports are in multiples of 5.v. In 2014-15, the number of students playing both Football and Chess is the least possible. vi. In 2014-15, the number of students playing both Football and Cricket is equal to the number of students playing both Chess and Cricket.Q.If out of the 30 new students 12, 12, 6 participated in Football, Cricket and Chess respectively, then what would be the maximum number of students playing all four sports? Correct answer is '0'. Can you explain this answer?

View answer

Directions [Set of 4 questions]: Refer the data given below to answer the following questions.In the state of Maharashtra, there are eight under graduation courses, A to H and eight post-graduation courses I to P.The percentage of students pursuing graduation and post-graduation in MaharashtraPercentage of the final year students that did not complete their respective coursesPercentage of the final year students that did not complete their respective coursesThe total number of students in Maharashtra doing their graduation or post-graduation is 75000. For every four students doing their graduation there is one student doing his post-graduation. For every five students in each graduate course, there is one student in the final year. For every two students in each post graduate course there is one student in the final year. Please note that the post-graduation courses are two year courses.How many students doing their course-G have completed their final year?

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

Solve the following question and mark the best possible option.The average marks of the students in four sections A, B, C and D together are 60%. The average marks of the students of A, B, C and D individually are 45%, 50%, 72% and 80% respectively. If the average marks of the students of sections A and B together are 48% and that of the students of B and C together are 60%. What is the ratio of number of students in sections A and D?a)2 : 3b)4: 3c)5 : 3d)3 : 5Correct answer is option 'B'. Can you explain this answer?

Share with a Friend

Answer this doubt

Question Description
Solve the following question and mark the best possible option.The average marks of the students in four sections A, B, C and D together are 60%. The average marks of the students of A, B, C and D individually are 45%, 50%, 72% and 80% respectively. If the average marks of the students of sections A and B together are 48% and that of the students of B and C together are 60%. What is the ratio of number of students in sections A and D?a)2 : 3b)4: 3c)5 : 3d)3 : 5Correct 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 Solve the following question and mark the best possible option.The average marks of the students in four sections A, B, C and D together are 60%. The average marks of the students of A, B, C and D individually are 45%, 50%, 72% and 80% respectively. If the average marks of the students of sections A and B together are 48% and that of the students of B and C together are 60%. What is the ratio of number of students in sections A and D?a)2 : 3b)4: 3c)5 : 3d)3 : 5Correct 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 Solve the following question and mark the best possible option.The average marks of the students in four sections A, B, C and D together are 60%. The average marks of the students of A, B, C and D individually are 45%, 50%, 72% and 80% respectively. If the average marks of the students of sections A and B together are 48% and that of the students of B and C together are 60%. What is the ratio of number of students in sections A and D?a)2 : 3b)4: 3c)5 : 3d)3 : 5Correct answer is option 'B'. Can you explain this answer?.

Solutions for Solve the following question and mark the best possible option.The average marks of the students in four sections A, B, C and D together are 60%. The average marks of the students of A, B, C and D individually are 45%, 50%, 72% and 80% respectively. If the average marks of the students of sections A and B together are 48% and that of the students of B and C together are 60%. What is the ratio of number of students in sections A and D?a)2 : 3b)4: 3c)5 : 3d)3 : 5Correct 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 Solve the following question and mark the best possible option.The average marks of the students in four sections A, B, C and D together are 60%. The average marks of the students of A, B, C and D individually are 45%, 50%, 72% and 80% respectively. If the average marks of the students of sections A and B together are 48% and that of the students of B and C together are 60%. What is the ratio of number of students in sections A and D?a)2 : 3b)4: 3c)5 : 3d)3 : 5Correct answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Solve the following question and mark the best possible option.The average marks of the students in four sections A, B, C and D together are 60%. The average marks of the students of A, B, C and D individually are 45%, 50%, 72% and 80% respectively. If the average marks of the students of sections A and B together are 48% and that of the students of B and C together are 60%. What is the ratio of number of students in sections A and D?a)2 : 3b)4: 3c)5 : 3d)3 : 5Correct answer is option 'B'. Can you explain this answer?, a detailed solution for Solve the following question and mark the best possible option.The average marks of the students in four sections A, B, C and D together are 60%. The average marks of the students of A, B, C and D individually are 45%, 50%, 72% and 80% respectively. If the average marks of the students of sections A and B together are 48% and that of the students of B and C together are 60%. What is the ratio of number of students in sections A and D?a)2 : 3b)4: 3c)5 : 3d)3 : 5Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of Solve the following question and mark the best possible option.The average marks of the students in four sections A, B, C and D together are 60%. The average marks of the students of A, B, C and D individually are 45%, 50%, 72% and 80% respectively. If the average marks of the students of sections A and B together are 48% and that of the students of B and C together are 60%. What is the ratio of number of students in sections A and D?a)2 : 3b)4: 3c)5 : 3d)3 : 5Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Solve the following question and mark the best possible option.The average marks of the students in four sections A, B, C and D together are 60%. The average marks of the students of A, B, C and D individually are 45%, 50%, 72% and 80% respectively. If the average marks of the students of sections A and B together are 48% and that of the students of B and C together are 60%. What is the ratio of number of students in sections A and D?a)2 : 3b)4: 3c)5 : 3d)3 : 5Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice CAT tests.

Explore Courses for CAT exam