Quant Exam > Quant Questions > In an examination 70% candidates passed in pr...
Start Learning for Free
In an examination 70% candidates passed in prelims and 55% candidates passed in Mains. If 62% candidates passed in both these subjects, then what per cent of candidates failed in both the exams?
- a)37%
- b)26%
- c)43%
- d)15%
- e)None of these
Correct answer is option 'A'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
In an examination 70% candidates passed in prelims and 55% candidates ...
Answer – 1.37% Explanation : Students passed in Prelims = 70% Students passed in Mains = 55% Students passed in both = 62% No of students passed in at least one subject = (70+55)-62 = 63%. students failed in both subjects = 100-63 = 37%.
Most Upvoted Answer
In an examination 70% candidates passed in prelims and 55% candidates ...
P(prelims passed)=P(A)=70%
P(mains passed)=P(B)=55%
P(passed both)=P(A^B)=62%
P(passed any)=P (A¿B)= P(A)+P(B)-P(A^B)
=70%+55%-62%
=63%
there failed both= 100%- passed any
=100%-63%
=37%
P(mains passed)=P(B)=55%
P(passed both)=P(A^B)=62%
P(passed any)=P (A¿B)= P(A)+P(B)-P(A^B)
=70%+55%-62%
=63%
there failed both= 100%- passed any
=100%-63%
=37%
Free Test
FREE
| Start Free Test |
Community Answer
In an examination 70% candidates passed in prelims and 55% candidates ...
Given:
- 70% candidates passed in prelims
- 55% candidates passed in Mains
- 62% candidates passed in both subjects
To find:
- Percentage of candidates who failed in both the exams
Solution:
Let’s assume that there are a total of 100 candidates. Then,
- 70% of them passed in prelims, which means 70 candidates passed in prelims.
- 55% of them passed in Mains, which means 55 candidates passed in Mains.
- 62% of them passed in both subjects, which means 62 candidates passed in both prelims and Mains.
Now, to find the percentage of candidates who failed in both exams, we need to subtract the number of candidates who passed in both from the total number of candidates.
Total number of candidates = 100
Number of candidates who passed in both = 62
Number of candidates who failed in at least one exam = 100 - 62 = 38
Now, we need to find the percentage of candidates who failed in both exams out of those who failed in at least one exam.
Number of candidates who failed in both exams = ?
Number of candidates who failed in at least one exam = 38
To find the number of candidates who failed in both exams, we need to subtract the number of candidates who passed in both from the total number of candidates who passed in at least one exam.
Number of candidates who passed in at least one exam = 100 - number of candidates who failed in at least one exam = 100 - 38 = 62
Number of candidates who passed in both = 62
Number of candidates who failed in both exams = Number of candidates who failed in at least one exam and didn't pass in both exams
= 38 - (Number of candidates who passed in at least one exam and passed in both exams)
= 38 - 62 + 62
= 38 - 0
= 38
Percentage of candidates who failed in both exams = (Number of candidates who failed in both exams / Total number of candidates) x 100
= (38 / 100) x 100
= 38%
Therefore, the percentage of candidates who failed in both exams is 38%. Option A is the correct answer.
- 70% candidates passed in prelims
- 55% candidates passed in Mains
- 62% candidates passed in both subjects
To find:
- Percentage of candidates who failed in both the exams
Solution:
Let’s assume that there are a total of 100 candidates. Then,
- 70% of them passed in prelims, which means 70 candidates passed in prelims.
- 55% of them passed in Mains, which means 55 candidates passed in Mains.
- 62% of them passed in both subjects, which means 62 candidates passed in both prelims and Mains.
Now, to find the percentage of candidates who failed in both exams, we need to subtract the number of candidates who passed in both from the total number of candidates.
Total number of candidates = 100
Number of candidates who passed in both = 62
Number of candidates who failed in at least one exam = 100 - 62 = 38
Now, we need to find the percentage of candidates who failed in both exams out of those who failed in at least one exam.
Number of candidates who failed in both exams = ?
Number of candidates who failed in at least one exam = 38
To find the number of candidates who failed in both exams, we need to subtract the number of candidates who passed in both from the total number of candidates who passed in at least one exam.
Number of candidates who passed in at least one exam = 100 - number of candidates who failed in at least one exam = 100 - 38 = 62
Number of candidates who passed in both = 62
Number of candidates who failed in both exams = Number of candidates who failed in at least one exam and didn't pass in both exams
= 38 - (Number of candidates who passed in at least one exam and passed in both exams)
= 38 - 62 + 62
= 38 - 0
= 38
Percentage of candidates who failed in both exams = (Number of candidates who failed in both exams / Total number of candidates) x 100
= (38 / 100) x 100
= 38%
Therefore, the percentage of candidates who failed in both exams is 38%. Option A is the correct answer.
|
Explore Courses for Quant exam
|
|
Similar Quant Doubts
In an examination 70% candidates passed in prelims and 55% candidates passed in Mains. If 62% candidates passed in both these subjects, then what per cent of candidates failed in both the exams?a)37%b)26%c)43%d)15%e)None of theseCorrect answer is option 'A'. Can you explain this answer?
Question Description
In an examination 70% candidates passed in prelims and 55% candidates passed in Mains. If 62% candidates passed in both these subjects, then what per cent of candidates failed in both the exams?a)37%b)26%c)43%d)15%e)None of theseCorrect answer is option 'A'. 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 an examination 70% candidates passed in prelims and 55% candidates passed in Mains. If 62% candidates passed in both these subjects, then what per cent of candidates failed in both the exams?a)37%b)26%c)43%d)15%e)None of theseCorrect answer is option 'A'. 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 an examination 70% candidates passed in prelims and 55% candidates passed in Mains. If 62% candidates passed in both these subjects, then what per cent of candidates failed in both the exams?a)37%b)26%c)43%d)15%e)None of theseCorrect answer is option 'A'. Can you explain this answer?.
In an examination 70% candidates passed in prelims and 55% candidates passed in Mains. If 62% candidates passed in both these subjects, then what per cent of candidates failed in both the exams?a)37%b)26%c)43%d)15%e)None of theseCorrect answer is option 'A'. 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 an examination 70% candidates passed in prelims and 55% candidates passed in Mains. If 62% candidates passed in both these subjects, then what per cent of candidates failed in both the exams?a)37%b)26%c)43%d)15%e)None of theseCorrect answer is option 'A'. 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 an examination 70% candidates passed in prelims and 55% candidates passed in Mains. If 62% candidates passed in both these subjects, then what per cent of candidates failed in both the exams?a)37%b)26%c)43%d)15%e)None of theseCorrect answer is option 'A'. Can you explain this answer?.
Solutions for In an examination 70% candidates passed in prelims and 55% candidates passed in Mains. If 62% candidates passed in both these subjects, then what per cent of candidates failed in both the exams?a)37%b)26%c)43%d)15%e)None of theseCorrect answer is option 'A'. 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 an examination 70% candidates passed in prelims and 55% candidates passed in Mains. If 62% candidates passed in both these subjects, then what per cent of candidates failed in both the exams?a)37%b)26%c)43%d)15%e)None of theseCorrect answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
In an examination 70% candidates passed in prelims and 55% candidates passed in Mains. If 62% candidates passed in both these subjects, then what per cent of candidates failed in both the exams?a)37%b)26%c)43%d)15%e)None of theseCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for In an examination 70% candidates passed in prelims and 55% candidates passed in Mains. If 62% candidates passed in both these subjects, then what per cent of candidates failed in both the exams?a)37%b)26%c)43%d)15%e)None of theseCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of In an examination 70% candidates passed in prelims and 55% candidates passed in Mains. If 62% candidates passed in both these subjects, then what per cent of candidates failed in both the exams?a)37%b)26%c)43%d)15%e)None of theseCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice In an examination 70% candidates passed in prelims and 55% candidates passed in Mains. If 62% candidates passed in both these subjects, then what per cent of candidates failed in both the exams?a)37%b)26%c)43%d)15%e)None of theseCorrect answer is option 'A'. 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