Electronics and Communication Engineering (ECE) Exam > Electronics and Communication Engineering (ECE) Questions > The students of three classes, A, B and C tak...
Start Learning for Free
The students of three classes, A, B and C take a test. The average marks per student of the classes A and B put together is 71. The average marks per student of the classes B and C put together is 76. The average per student marks of the class A and C put together is 79. Find the range of the average marks (p) of all the three classes put together.
- a)72 < p < 76
- b)73 < p < 75
- c)73.5 < p < 77.5
- d)71 < p < 77
Correct answer is option 'C'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
The students of three classes, A, B and C take a test. The average mar...
Let the number of students in the three classes be nA, nB and nc and the total scores of students In the three classes be Ta, Tb and Tc respectively.
Most Upvoted Answer
The students of three classes, A, B and C take a test. The average mar...
Given:
- Average marks per student of classes A and B together = 71
- Average marks per student of classes B and C together = 76
- Average marks per student of classes A and C together = 79
To find: Range of the average marks of all three classes put together
Approach:
Let's assume the number of students in classes A, B and C to be a, b, and c respectively. Then, we can use the following formula to find the average marks:
Average marks = Total marks / Number of students
Using this formula, we can form three equations as follows:
(aA + bB) / (a + b) = 71 ----(1)
(bB + cC) / (b + c) = 76 ----(2)
(aA + cC) / (a + c) = 79 ----(3)
where A, B, and C are the average marks of classes A, B, and C respectively.
Solving these equations, we get:
A = (2a + c - 147) / (a + c - 2b) ----(4)
B = (2b + a + c - 147) / (a + b + c) ----(5)
C = (2c + a - 158) / (a + c - 2b) ----(6)
Now, we can find the range of the average marks as follows:
- Maximum value of the average marks:
The maximum value of the average marks will be when the values of A, B, and C are maximum. From equations (4), (5), and (6), we can see that A and C will be maximum when a > b > c, and B will be maximum when a > c > b. Therefore, we can assume a = b + x and c = b - y, where x > y > 0. Substituting these values in equations (4), (5), and (6), we get:
A = (3b + x - y - 147) / x ----(7)
B = (3b + x - y - 147) / (2b + x - y) ----(8)
C = (3b - x + y - 158) / y ----(9)
To maximize the value of the average marks, we need to maximize the value of (A + B + C) / 3. Substituting equations (7), (8), and (9) in this formula, we get:
(A + B + C) / 3 = (9b - 305) / (3x + 2y) ----(10)
To maximize this value, we need to maximize the value of 9b - 305, which is when b is maximum. Therefore, we can assume b = 100. Substituting this value in equations (7), (8), and (9), we get:
A = (3x - y - 47) / x ----(11)
B = 100 ----(12)
C = (3y - x - 58) / y ----(13)
Substituting equations (11), (12), and (13) in equation (10), we get:
(A + B + C) /
- Average marks per student of classes A and B together = 71
- Average marks per student of classes B and C together = 76
- Average marks per student of classes A and C together = 79
To find: Range of the average marks of all three classes put together
Approach:
Let's assume the number of students in classes A, B and C to be a, b, and c respectively. Then, we can use the following formula to find the average marks:
Average marks = Total marks / Number of students
Using this formula, we can form three equations as follows:
(aA + bB) / (a + b) = 71 ----(1)
(bB + cC) / (b + c) = 76 ----(2)
(aA + cC) / (a + c) = 79 ----(3)
where A, B, and C are the average marks of classes A, B, and C respectively.
Solving these equations, we get:
A = (2a + c - 147) / (a + c - 2b) ----(4)
B = (2b + a + c - 147) / (a + b + c) ----(5)
C = (2c + a - 158) / (a + c - 2b) ----(6)
Now, we can find the range of the average marks as follows:
- Maximum value of the average marks:
The maximum value of the average marks will be when the values of A, B, and C are maximum. From equations (4), (5), and (6), we can see that A and C will be maximum when a > b > c, and B will be maximum when a > c > b. Therefore, we can assume a = b + x and c = b - y, where x > y > 0. Substituting these values in equations (4), (5), and (6), we get:
A = (3b + x - y - 147) / x ----(7)
B = (3b + x - y - 147) / (2b + x - y) ----(8)
C = (3b - x + y - 158) / y ----(9)
To maximize the value of the average marks, we need to maximize the value of (A + B + C) / 3. Substituting equations (7), (8), and (9) in this formula, we get:
(A + B + C) / 3 = (9b - 305) / (3x + 2y) ----(10)
To maximize this value, we need to maximize the value of 9b - 305, which is when b is maximum. Therefore, we can assume b = 100. Substituting this value in equations (7), (8), and (9), we get:
A = (3x - y - 47) / x ----(11)
B = 100 ----(12)
C = (3y - x - 58) / y ----(13)
Substituting equations (11), (12), and (13) in equation (10), we get:
(A + B + C) /
Attention Electronics and Communication Engineering (ECE) Students!
To make sure you are not studying endlessly, EduRev has designed Electronics and Communication Engineering (ECE) study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Electronics and Communication Engineering (ECE).
|
Explore Courses for Electronics and Communication Engineering (ECE) exam
|
|
Similar Electronics and Communication Engineering (ECE) Doubts
Top Courses for Electronics and Communication Engineering (ECE)View all
The students of three classes, A, B and C take a test. The average marks per student of the classes A and B put together is 71. The average marks per student of the classes B and C put together is 76. The average per student marks of the class A and C put together is 79. Find the range of the average marks (p) of all the three classes put together.a)72 < p < 76 b)73 < p < 75c)73.5 < p < 77.5 d)71 < p < 77Correct answer is option 'C'. Can you explain this answer?
Question Description
The students of three classes, A, B and C take a test. The average marks per student of the classes A and B put together is 71. The average marks per student of the classes B and C put together is 76. The average per student marks of the class A and C put together is 79. Find the range of the average marks (p) of all the three classes put together.a)72 < p < 76 b)73 < p < 75c)73.5 < p < 77.5 d)71 < p < 77Correct answer is option 'C'. Can you explain this answer? for Electronics and Communication Engineering (ECE) 2024 is part of Electronics and Communication Engineering (ECE) preparation. The Question and answers have been prepared according to the Electronics and Communication Engineering (ECE) exam syllabus. Information about The students of three classes, A, B and C take a test. The average marks per student of the classes A and B put together is 71. The average marks per student of the classes B and C put together is 76. The average per student marks of the class A and C put together is 79. Find the range of the average marks (p) of all the three classes put together.a)72 < p < 76 b)73 < p < 75c)73.5 < p < 77.5 d)71 < p < 77Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Electronics and Communication Engineering (ECE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The students of three classes, A, B and C take a test. The average marks per student of the classes A and B put together is 71. The average marks per student of the classes B and C put together is 76. The average per student marks of the class A and C put together is 79. Find the range of the average marks (p) of all the three classes put together.a)72 < p < 76 b)73 < p < 75c)73.5 < p < 77.5 d)71 < p < 77Correct answer is option 'C'. Can you explain this answer?.
The students of three classes, A, B and C take a test. The average marks per student of the classes A and B put together is 71. The average marks per student of the classes B and C put together is 76. The average per student marks of the class A and C put together is 79. Find the range of the average marks (p) of all the three classes put together.a)72 < p < 76 b)73 < p < 75c)73.5 < p < 77.5 d)71 < p < 77Correct answer is option 'C'. Can you explain this answer? for Electronics and Communication Engineering (ECE) 2024 is part of Electronics and Communication Engineering (ECE) preparation. The Question and answers have been prepared according to the Electronics and Communication Engineering (ECE) exam syllabus. Information about The students of three classes, A, B and C take a test. The average marks per student of the classes A and B put together is 71. The average marks per student of the classes B and C put together is 76. The average per student marks of the class A and C put together is 79. Find the range of the average marks (p) of all the three classes put together.a)72 < p < 76 b)73 < p < 75c)73.5 < p < 77.5 d)71 < p < 77Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Electronics and Communication Engineering (ECE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The students of three classes, A, B and C take a test. The average marks per student of the classes A and B put together is 71. The average marks per student of the classes B and C put together is 76. The average per student marks of the class A and C put together is 79. Find the range of the average marks (p) of all the three classes put together.a)72 < p < 76 b)73 < p < 75c)73.5 < p < 77.5 d)71 < p < 77Correct answer is option 'C'. Can you explain this answer?.
Solutions for The students of three classes, A, B and C take a test. The average marks per student of the classes A and B put together is 71. The average marks per student of the classes B and C put together is 76. The average per student marks of the class A and C put together is 79. Find the range of the average marks (p) of all the three classes put together.a)72 < p < 76 b)73 < p < 75c)73.5 < p < 77.5 d)71 < p < 77Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Electronics and Communication Engineering (ECE).
Download more important topics, notes, lectures and mock test series for Electronics and Communication Engineering (ECE) Exam by signing up for free.
Here you can find the meaning of The students of three classes, A, B and C take a test. The average marks per student of the classes A and B put together is 71. The average marks per student of the classes B and C put together is 76. The average per student marks of the class A and C put together is 79. Find the range of the average marks (p) of all the three classes put together.a)72 < p < 76 b)73 < p < 75c)73.5 < p < 77.5 d)71 < p < 77Correct answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
The students of three classes, A, B and C take a test. The average marks per student of the classes A and B put together is 71. The average marks per student of the classes B and C put together is 76. The average per student marks of the class A and C put together is 79. Find the range of the average marks (p) of all the three classes put together.a)72 < p < 76 b)73 < p < 75c)73.5 < p < 77.5 d)71 < p < 77Correct answer is option 'C'. Can you explain this answer?, a detailed solution for The students of three classes, A, B and C take a test. The average marks per student of the classes A and B put together is 71. The average marks per student of the classes B and C put together is 76. The average per student marks of the class A and C put together is 79. Find the range of the average marks (p) of all the three classes put together.a)72 < p < 76 b)73 < p < 75c)73.5 < p < 77.5 d)71 < p < 77Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of The students of three classes, A, B and C take a test. The average marks per student of the classes A and B put together is 71. The average marks per student of the classes B and C put together is 76. The average per student marks of the class A and C put together is 79. Find the range of the average marks (p) of all the three classes put together.a)72 < p < 76 b)73 < p < 75c)73.5 < p < 77.5 d)71 < p < 77Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice The students of three classes, A, B and C take a test. The average marks per student of the classes A and B put together is 71. The average marks per student of the classes B and C put together is 76. The average per student marks of the class A and C put together is 79. Find the range of the average marks (p) of all the three classes put together.a)72 < p < 76 b)73 < p < 75c)73.5 < p < 77.5 d)71 < p < 77Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice Electronics and Communication Engineering (ECE) tests.
|
|
Explore Courses for Electronics and Communication Engineering (ECE) exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
x
![]()
For Your Perfect Score in Electronics and Communication Engineering (ECE)
The Best you need at One Place
|
© 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