Quant Exam > Quant Questions > The Average of marks obtained by 120 candidat...
Start Learning for Free
The Average of marks obtained by 120 candidates in a certain examination is 35. If the average marks of passed candidates is 39 and that of failed candidates is 15, what is the number of candidates who passed the examination?
- a)90
- b)100
- c)108
- d)115
- e)None of these
Correct answer is option 'B'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
The Average of marks obtained by 120 candidates in a certain examinati...
Answer – B (100) Explanation – Let the number of passed candidates be a Then total marks =>120 x 35 = 39 a + (120 – a) x 15 4200 = 39 a + 1800 – 15 a a = 100
Most Upvoted Answer
The Average of marks obtained by 120 candidates in a certain examinati...
Given Information:
- Total number of candidates = 120
- Average marks of all candidates = 35
- Average marks of passed candidates = 39
- Average marks of failed candidates = 15
To find: Number of candidates who passed the examination
Approach:
1. Calculate the total marks obtained by all candidates using the average and the total number of candidates.
2. Calculate the total marks obtained by the passed candidates using the average and the number of passed candidates.
3. Calculate the total marks obtained by the failed candidates using the average and the number of failed candidates.
4. Use the equation: Total marks = Marks obtained by passed candidates + Marks obtained by failed candidates.
5. Solve the equation to find the number of passed candidates.
Calculation:
1. Total marks obtained by all candidates = Average marks * Total number of candidates = 35 * 120 = 4200
2. Total marks obtained by passed candidates = Average marks of passed candidates * Number of passed candidates = 39 * Number of passed candidates
3. Total marks obtained by failed candidates = Average marks of failed candidates * Number of failed candidates = 15 * (120 - Number of passed candidates)
4. Total marks = Total marks obtained by passed candidates + Total marks obtained by failed candidates = 39 * Number of passed candidates + 15 * (120 - Number of passed candidates)
5. Set up the equation: 4200 = 39 * Number of passed candidates + 15 * (120 - Number of passed candidates)
6. Solve the equation to find the number of passed candidates:
4200 = 39 * Number of passed candidates + 15 * 120 - 15 * Number of passed candidates
4200 = 39 * Number of passed candidates + 1800 - 15 * Number of passed candidates
2400 = 24 * Number of passed candidates
Number of passed candidates = 2400 / 24 = 100
Therefore, the number of candidates who passed the examination is 100 (option B).
- Total number of candidates = 120
- Average marks of all candidates = 35
- Average marks of passed candidates = 39
- Average marks of failed candidates = 15
To find: Number of candidates who passed the examination
Approach:
1. Calculate the total marks obtained by all candidates using the average and the total number of candidates.
2. Calculate the total marks obtained by the passed candidates using the average and the number of passed candidates.
3. Calculate the total marks obtained by the failed candidates using the average and the number of failed candidates.
4. Use the equation: Total marks = Marks obtained by passed candidates + Marks obtained by failed candidates.
5. Solve the equation to find the number of passed candidates.
Calculation:
1. Total marks obtained by all candidates = Average marks * Total number of candidates = 35 * 120 = 4200
2. Total marks obtained by passed candidates = Average marks of passed candidates * Number of passed candidates = 39 * Number of passed candidates
3. Total marks obtained by failed candidates = Average marks of failed candidates * Number of failed candidates = 15 * (120 - Number of passed candidates)
4. Total marks = Total marks obtained by passed candidates + Total marks obtained by failed candidates = 39 * Number of passed candidates + 15 * (120 - Number of passed candidates)
5. Set up the equation: 4200 = 39 * Number of passed candidates + 15 * (120 - Number of passed candidates)
6. Solve the equation to find the number of passed candidates:
4200 = 39 * Number of passed candidates + 15 * 120 - 15 * Number of passed candidates
4200 = 39 * Number of passed candidates + 1800 - 15 * Number of passed candidates
2400 = 24 * Number of passed candidates
Number of passed candidates = 2400 / 24 = 100
Therefore, the number of candidates who passed the examination is 100 (option B).
|
Explore Courses for Quant exam
|
|
Similar Quant Doubts
The Average of marks obtained by 120 candidates in a certain examination is 35. If the average marks of passed candidates is 39 and that of failed candidates is 15, what is the number of candidates who passed the examination?a)90b)100c)108d)115e)None of theseCorrect answer is option 'B'. Can you explain this answer?
Question Description
The Average of marks obtained by 120 candidates in a certain examination is 35. If the average marks of passed candidates is 39 and that of failed candidates is 15, what is the number of candidates who passed the examination?a)90b)100c)108d)115e)None of theseCorrect answer is option 'B'. 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 The Average of marks obtained by 120 candidates in a certain examination is 35. If the average marks of passed candidates is 39 and that of failed candidates is 15, what is the number of candidates who passed the examination?a)90b)100c)108d)115e)None of theseCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The Average of marks obtained by 120 candidates in a certain examination is 35. If the average marks of passed candidates is 39 and that of failed candidates is 15, what is the number of candidates who passed the examination?a)90b)100c)108d)115e)None of theseCorrect answer is option 'B'. Can you explain this answer?.
The Average of marks obtained by 120 candidates in a certain examination is 35. If the average marks of passed candidates is 39 and that of failed candidates is 15, what is the number of candidates who passed the examination?a)90b)100c)108d)115e)None of theseCorrect answer is option 'B'. 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 The Average of marks obtained by 120 candidates in a certain examination is 35. If the average marks of passed candidates is 39 and that of failed candidates is 15, what is the number of candidates who passed the examination?a)90b)100c)108d)115e)None of theseCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The Average of marks obtained by 120 candidates in a certain examination is 35. If the average marks of passed candidates is 39 and that of failed candidates is 15, what is the number of candidates who passed the examination?a)90b)100c)108d)115e)None of theseCorrect answer is option 'B'. Can you explain this answer?.
Solutions for The Average of marks obtained by 120 candidates in a certain examination is 35. If the average marks of passed candidates is 39 and that of failed candidates is 15, what is the number of candidates who passed the examination?a)90b)100c)108d)115e)None of theseCorrect answer is option 'B'. 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 The Average of marks obtained by 120 candidates in a certain examination is 35. If the average marks of passed candidates is 39 and that of failed candidates is 15, what is the number of candidates who passed the examination?a)90b)100c)108d)115e)None of theseCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
The Average of marks obtained by 120 candidates in a certain examination is 35. If the average marks of passed candidates is 39 and that of failed candidates is 15, what is the number of candidates who passed the examination?a)90b)100c)108d)115e)None of theseCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for The Average of marks obtained by 120 candidates in a certain examination is 35. If the average marks of passed candidates is 39 and that of failed candidates is 15, what is the number of candidates who passed the examination?a)90b)100c)108d)115e)None of theseCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of The Average of marks obtained by 120 candidates in a certain examination is 35. If the average marks of passed candidates is 39 and that of failed candidates is 15, what is the number of candidates who passed the examination?a)90b)100c)108d)115e)None of theseCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice The Average of marks obtained by 120 candidates in a certain examination is 35. If the average marks of passed candidates is 39 and that of failed candidates is 15, what is the number of candidates who passed the examination?a)90b)100c)108d)115e)None of theseCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice Quant tests.
|
|
Explore Courses for Quant 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.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup