Quant Exam > Quant Questions > In a class with a certain number of students ...
Start Learning for Free
In a class with a certain number of students if one student weighing 50 kg is added then the average weight of the class increases by 1 kg. If one more student weighing 50 kg is added then the average weight of the class increases by 1.5 kg over the original average. What is the original average weight (in kg) of the class?
- a)46
- b)4
- c)2
- d)47
Correct answer is option 'D'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
In a class with a certain number of students if one student weighing 5...
Let x be the original average and n be the number of students. Let x1, x2, x3 ,. . . .. xn be the weights of n students respectively. Therefore,
Solving (1) and (2), we get
x + n = 49..... (4)
Solving (1) and (3), we get
4x + 3n = 194 ...... (5)
Now, Solving (4) and (5), we get
n = 2, x = 47
So, the original average weight (in kg) of the class = 47
Alternate Solution :
Let x be the original average and n be the number of students.
From the first increase in the average,
we get 50 - x = n + 1
From the second increase in the average,
we get 100 - 2x = 1.5 (n + 2)
Solving, we get the value of x = 47.
Most Upvoted Answer
In a class with a certain number of students if one student weighing 5...
Let x be the original average and n be the number of students. Let x1, x2, x3 ,. . . .. xn be the weights of n students respectively. Therefore,
Solving (1) and (2), we get
x + n = 49..... (4)
Solving (1) and (3), we get
4x + 3n = 194 ...... (5)
Now, Solving (4) and (5), we get
n = 2, x = 47
So, the original average weight (in kg) of the class = 47
Alternate Solution :
Let x be the original average and n be the number of students.
From the first increase in the average,
we get 50 - x = n + 1
From the second increase in the average,
we get 100 - 2x = 1.5 (n + 2)
Solving, we get the value of x = 47.
Free Test
FREE
| Start Free Test |
Community Answer
In a class with a certain number of students if one student weighing 5...
Given Information:
- Addition of one student weighing 50 kg increases the average weight of the class by 1 kg.
- Addition of one more student weighing 50 kg increases the average weight of the class by 1.5 kg over the original average.
Solution:
Let the original number of students in the class be 'n' and the original average weight of the class be 'x' kg.
When one student weighing 50 kg is added:
- Total weight of the class = (n*x) + 50
- Total number of students in the class = n + 1
- New average weight of the class = ((n*x) + 50) / (n + 1)
- Given that the average weight increases by 1 kg:
(x + 1) = (((n*x) + 50) / (n + 1))
When one more student weighing 50 kg is added:
- Total weight of the class = ((n+1)*(x+1)) + 50
- Total number of students in the class = n + 2
- New average weight of the class = (((n+1)*(x+1)) + 50) / (n + 2)
- Given that the average weight increases by 1.5 kg over the original average:
(x + 1.5) = ((((n+1)*(x+1)) + 50) / (n + 2))
Solving the above two equations simultaneously, we get:
x = 47
Therefore, the original average weight of the class was 47 kg. Option D is correct.
|
Explore Courses for Quant exam
|
|
In a class with a certain number of students if one student weighing 50 kg is added then the average weight of the class increases by 1 kg. If one more student weighing 50 kg is added then the average weight of the class increases by 1.5 kg over the original average. What is the original average weight (in kg) of the class?a)46b)4c)2d)47Correct answer is option 'D'. Can you explain this answer?
Question Description
In a class with a certain number of students if one student weighing 50 kg is added then the average weight of the class increases by 1 kg. If one more student weighing 50 kg is added then the average weight of the class increases by 1.5 kg over the original average. What is the original average weight (in kg) of the class?a)46b)4c)2d)47Correct answer is option 'D'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about In a class with a certain number of students if one student weighing 50 kg is added then the average weight of the class increases by 1 kg. If one more student weighing 50 kg is added then the average weight of the class increases by 1.5 kg over the original average. What is the original average weight (in kg) of the class?a)46b)4c)2d)47Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a class with a certain number of students if one student weighing 50 kg is added then the average weight of the class increases by 1 kg. If one more student weighing 50 kg is added then the average weight of the class increases by 1.5 kg over the original average. What is the original average weight (in kg) of the class?a)46b)4c)2d)47Correct answer is option 'D'. Can you explain this answer?.
In a class with a certain number of students if one student weighing 50 kg is added then the average weight of the class increases by 1 kg. If one more student weighing 50 kg is added then the average weight of the class increases by 1.5 kg over the original average. What is the original average weight (in kg) of the class?a)46b)4c)2d)47Correct answer is option 'D'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about In a class with a certain number of students if one student weighing 50 kg is added then the average weight of the class increases by 1 kg. If one more student weighing 50 kg is added then the average weight of the class increases by 1.5 kg over the original average. What is the original average weight (in kg) of the class?a)46b)4c)2d)47Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a class with a certain number of students if one student weighing 50 kg is added then the average weight of the class increases by 1 kg. If one more student weighing 50 kg is added then the average weight of the class increases by 1.5 kg over the original average. What is the original average weight (in kg) of the class?a)46b)4c)2d)47Correct answer is option 'D'. Can you explain this answer?.
Solutions for In a class with a certain number of students if one student weighing 50 kg is added then the average weight of the class increases by 1 kg. If one more student weighing 50 kg is added then the average weight of the class increases by 1.5 kg over the original average. What is the original average weight (in kg) of the class?a)46b)4c)2d)47Correct answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for Quant.
Download more important topics, notes, lectures and mock test series for Quant Exam by signing up for free.
Here you can find the meaning of In a class with a certain number of students if one student weighing 50 kg is added then the average weight of the class increases by 1 kg. If one more student weighing 50 kg is added then the average weight of the class increases by 1.5 kg over the original average. What is the original average weight (in kg) of the class?a)46b)4c)2d)47Correct answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
In a class with a certain number of students if one student weighing 50 kg is added then the average weight of the class increases by 1 kg. If one more student weighing 50 kg is added then the average weight of the class increases by 1.5 kg over the original average. What is the original average weight (in kg) of the class?a)46b)4c)2d)47Correct answer is option 'D'. Can you explain this answer?, a detailed solution for In a class with a certain number of students if one student weighing 50 kg is added then the average weight of the class increases by 1 kg. If one more student weighing 50 kg is added then the average weight of the class increases by 1.5 kg over the original average. What is the original average weight (in kg) of the class?a)46b)4c)2d)47Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of In a class with a certain number of students if one student weighing 50 kg is added then the average weight of the class increases by 1 kg. If one more student weighing 50 kg is added then the average weight of the class increases by 1.5 kg over the original average. What is the original average weight (in kg) of the class?a)46b)4c)2d)47Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice In a class with a certain number of students if one student weighing 50 kg is added then the average weight of the class increases by 1 kg. If one more student weighing 50 kg is added then the average weight of the class increases by 1.5 kg over the original average. What is the original average weight (in kg) of the class?a)46b)4c)2d)47Correct answer is option 'D'. Can you explain this answer? tests, examples and also practice Quant tests.
|
|
Explore Courses for Quant exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© 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