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In an examination 80% of students passed in Mathematics and 75% of students passed in English. 15% of students failed in both the subjects. If 490 students passed in both the subjects then what is the total number of students who took the examination?
- a)800
- b)700
- c)900
- d)750
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
In an examination 80% of students passed in Mathematics and 75% of stu...
Pass maths = 80% fail maths = 20%
Pass eng = 75% fail eng = 25%
Fail in both = 15%
Total fail [n(A union B)] = 20+25-15=30%
Hence, total pass = 100-30 = 70%
490= 70% of x
= 70x/100
=700
Pass eng = 75% fail eng = 25%
Fail in both = 15%
Total fail [n(A union B)] = 20+25-15=30%
Hence, total pass = 100-30 = 70%
490= 70% of x
= 70x/100
=700
Community Answer
In an examination 80% of students passed in Mathematics and 75% of stu...
Given information:
- 80% of students passed in Mathematics
- 75% of students passed in English
- 15% of students failed in both subjects
- 490 students passed in both subjects
To find:
- Total number of students who took the examination
Approach:
Let's assume the total number of students who took the examination as 'x'.
Then,
- Number of students who passed in Mathematics = 80% of x
- Number of students who passed in English = 75% of x
- Number of students who failed in both subjects = 15% of x
- Number of students who passed in at least one subject = Total number of students - Number of students who failed in both subjects
Using the above information, we can form the following equation:
80% of x + 75% of x - 15% of x = Total number of students - 15% of x
Simplifying the above equation, we get:
140% of x = Total number of students - 15% of x + 490
155% of x = Total number of students + 490
x = (Total number of students + 490) / 1.55
Now, we need to find the value of 'x' to get the total number of students who took the examination.
Calculation:
Substituting the options in the above equation, we get:
Option A: (800 + 490) / 1.55 = 935.48
Option B: (700 + 490) / 1.55 = 806.45
Option C: (900 + 490) / 1.55 = 1045.16
Option D: (750 + 490) / 1.55 = 903.23
Out of the given options, option B gives us the closest value to 'x'.
Therefore, the total number of students who took the examination is 700.
Final Answer:
The correct option is B) 700.
- 80% of students passed in Mathematics
- 75% of students passed in English
- 15% of students failed in both subjects
- 490 students passed in both subjects
To find:
- Total number of students who took the examination
Approach:
Let's assume the total number of students who took the examination as 'x'.
Then,
- Number of students who passed in Mathematics = 80% of x
- Number of students who passed in English = 75% of x
- Number of students who failed in both subjects = 15% of x
- Number of students who passed in at least one subject = Total number of students - Number of students who failed in both subjects
Using the above information, we can form the following equation:
80% of x + 75% of x - 15% of x = Total number of students - 15% of x
Simplifying the above equation, we get:
140% of x = Total number of students - 15% of x + 490
155% of x = Total number of students + 490
x = (Total number of students + 490) / 1.55
Now, we need to find the value of 'x' to get the total number of students who took the examination.
Calculation:
Substituting the options in the above equation, we get:
Option A: (800 + 490) / 1.55 = 935.48
Option B: (700 + 490) / 1.55 = 806.45
Option C: (900 + 490) / 1.55 = 1045.16
Option D: (750 + 490) / 1.55 = 903.23
Out of the given options, option B gives us the closest value to 'x'.
Therefore, the total number of students who took the examination is 700.
Final Answer:
The correct option is B) 700.
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In an examination 80% of students passed in Mathematics and 75% of students passed in English. 15% of students failed in both the subjects. If 490 students passed in both the subjects then what is the total number of students who took the examination?a)800b)700c)900d)750Correct answer is option 'B'. Can you explain this answer?
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In an examination 80% of students passed in Mathematics and 75% of students passed in English. 15% of students failed in both the subjects. If 490 students passed in both the subjects then what is the total number of students who took the examination?a)800b)700c)900d)750Correct 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 In an examination 80% of students passed in Mathematics and 75% of students passed in English. 15% of students failed in both the subjects. If 490 students passed in both the subjects then what is the total number of students who took the examination?a)800b)700c)900d)750Correct 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 In an examination 80% of students passed in Mathematics and 75% of students passed in English. 15% of students failed in both the subjects. If 490 students passed in both the subjects then what is the total number of students who took the examination?a)800b)700c)900d)750Correct answer is option 'B'. Can you explain this answer?.
In an examination 80% of students passed in Mathematics and 75% of students passed in English. 15% of students failed in both the subjects. If 490 students passed in both the subjects then what is the total number of students who took the examination?a)800b)700c)900d)750Correct 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 In an examination 80% of students passed in Mathematics and 75% of students passed in English. 15% of students failed in both the subjects. If 490 students passed in both the subjects then what is the total number of students who took the examination?a)800b)700c)900d)750Correct 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 In an examination 80% of students passed in Mathematics and 75% of students passed in English. 15% of students failed in both the subjects. If 490 students passed in both the subjects then what is the total number of students who took the examination?a)800b)700c)900d)750Correct answer is option 'B'. Can you explain this answer?.
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In an examination 80% of students passed in Mathematics and 75% of students passed in English. 15% of students failed in both the subjects. If 490 students passed in both the subjects then what is the total number of students who took the examination?a)800b)700c)900d)750Correct answer is option 'B'. Can you explain this answer?, a detailed solution for In an examination 80% of students passed in Mathematics and 75% of students passed in English. 15% of students failed in both the subjects. If 490 students passed in both the subjects then what is the total number of students who took the examination?a)800b)700c)900d)750Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of In an examination 80% of students passed in Mathematics and 75% of students passed in English. 15% of students failed in both the subjects. If 490 students passed in both the subjects then what is the total number of students who took the examination?a)800b)700c)900d)750Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
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