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In an examination, 80% students passed in philosophy and 70% students passed in maths. At the same time 15% failed in both the subjects. If390 students passed in both the subjects, how many students appeared in the examination?
- a)500
- b)400
- c)800
- d)600
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
In an examination, 80% students passed in philosophy and 70% students ...
15% failed in both the subjects ⇒ 85% passed in at least one of the subjects.
So, percentage of students passing both the subjects = 80 + 70 - 85 = 65%
So, 65% = 390 ⇒ 100% = 600
So, 65% = 390 ⇒ 100% = 600
Most Upvoted Answer
In an examination, 80% students passed in philosophy and 70% students ...
Here, 85% students are passed in any one of the subjects. Then According to set theory Students passed in both subjects=students passed in maths+students passed in philosophy -students passed in any one Students passed in both subjects = (80%+70%-85%)=65% Let total students be x Then x=(390×100)/65 =600
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In an examination, 80% students passed in philosophy and 70% students ...
Given information:
- 80% students passed in philosophy
- 70% students passed in maths
- 15% failed in both subjects
- 390 students passed in both subjects
To find:
- Total number of students appeared in the examination
Solution:
Let's assume the total number of students appeared in the examination as 'x'.
From the given information, we can say that:
- Number of students passed in philosophy = 80% of x
- Number of students passed in maths = 70% of x
- Number of students failed in both subjects = 15% of x
- Number of students passed in at least one subject = Total number of students passed in philosophy + Total number of students passed in maths - Number of students passed in both subjects
Using the above information, we can write the following equations:
Number of students passed in philosophy = 80% of x
Number of students passed in maths = 70% of x
Number of students failed in both subjects = 15% of x
Number of students passed in at least one subject = (80% of x) + (70% of x) - 390
We know that:
Number of students passed in at least one subject = Total number of students - Number of students failed in both subjects
Substituting the values, we get:
(80% of x) + (70% of x) - 390 = x - (15% of x)
or, 1.5x - 390 = 0.85x
or, 0.65x = 390
or, x = 600
Therefore, the total number of students appeared in the examination is 600.
Answer: Option D (600)
- 80% students passed in philosophy
- 70% students passed in maths
- 15% failed in both subjects
- 390 students passed in both subjects
To find:
- Total number of students appeared in the examination
Solution:
Let's assume the total number of students appeared in the examination as 'x'.
From the given information, we can say that:
- Number of students passed in philosophy = 80% of x
- Number of students passed in maths = 70% of x
- Number of students failed in both subjects = 15% of x
- Number of students passed in at least one subject = Total number of students passed in philosophy + Total number of students passed in maths - Number of students passed in both subjects
Using the above information, we can write the following equations:
Number of students passed in philosophy = 80% of x
Number of students passed in maths = 70% of x
Number of students failed in both subjects = 15% of x
Number of students passed in at least one subject = (80% of x) + (70% of x) - 390
We know that:
Number of students passed in at least one subject = Total number of students - Number of students failed in both subjects
Substituting the values, we get:
(80% of x) + (70% of x) - 390 = x - (15% of x)
or, 1.5x - 390 = 0.85x
or, 0.65x = 390
or, x = 600
Therefore, the total number of students appeared in the examination is 600.
Answer: Option D (600)
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In an examination, 80% students passed in philosophy and 70% students passed in maths. At the same time 15% failed in both the subjects. If390 students passed in both the subjects, how many students appeared in the examination?a)500b)400c)800d)600Correct answer is option 'D'. Can you explain this answer?
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In an examination, 80% students passed in philosophy and 70% students passed in maths. At the same time 15% failed in both the subjects. If390 students passed in both the subjects, how many students appeared in the examination?a)500b)400c)800d)600Correct 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 an examination, 80% students passed in philosophy and 70% students passed in maths. At the same time 15% failed in both the subjects. If390 students passed in both the subjects, how many students appeared in the examination?a)500b)400c)800d)600Correct 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 an examination, 80% students passed in philosophy and 70% students passed in maths. At the same time 15% failed in both the subjects. If390 students passed in both the subjects, how many students appeared in the examination?a)500b)400c)800d)600Correct answer is option 'D'. Can you explain this answer?.
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