JEE Exam > JEE Questions > In an examination if a certain class ,at leas...
Start Learning for Free
In an examination if a certain class ,at least 70%of the students failed in physics ,at least 72�iled in chemistry,at least 80�iled in maths and at least 85% failed in english .how many at least must have failed in all the four subjects?
Most Upvoted Answer
In an examination if a certain class ,at least 70%of the students fail...
Avrager students failed in all four subjects is =70+72+80+85=307÷4=76.75% students are fail
Community Answer
In an examination if a certain class ,at least 70%of the students fail...
Number of Students Who Failed in Each Subject:
- Physics: At least 70%
- Chemistry: At least 72%
- Maths: At least 80%
- English: At least 85%
Calculating the Minimum Number of Students Who Failed in All Four Subjects:
To find the minimum number of students who failed in all four subjects, we need to consider the subject with the highest failure rate, which is English (85%). This means that at least 85% of the students failed in English.
Now, let's assume there are a total of "n" students in the class. Since at least 85% of them failed in English, the number of students who failed in English would be at least 0.85n.
Next, let's consider the subject with the second-highest failure rate, which is Maths (80%). Since at least 80% of the students failed in Maths, the number of students who failed in both English and Maths would be at least 0.80n.
Similarly, the number of students who failed in Physics and Chemistry would be at least 0.70n and 0.72n respectively.
Calculating the Minimum Number of Students Who Failed in All Four Subjects:
To calculate the minimum number of students who failed in all four subjects, we need to find the intersection of the students who failed in each subject.
The intersection of the students who failed in English, Maths, Physics, and Chemistry can be found by taking the minimum value among the number of students who failed in each subject.
So, the minimum number of students who failed in all four subjects would be:
- min(0.85n, 0.80n, 0.70n, 0.72n)
Example Calculation:
Let's assume there are 100 students in the class (n = 100).
- The number of students who failed in English would be at least 0.85 * 100 = 85.
- The number of students who failed in Maths would be at least 0.80 * 100 = 80.
- The number of students who failed in Physics would be at least 0.70 * 100 = 70.
- The number of students who failed in Chemistry would be at least 0.72 * 100 = 72.
Therefore, the minimum number of students who failed in all four subjects would be min(85, 80, 70, 72) = 70.
Conclusion:
At least 70 students must have failed in all four subjects.
- Physics: At least 70%
- Chemistry: At least 72%
- Maths: At least 80%
- English: At least 85%
Calculating the Minimum Number of Students Who Failed in All Four Subjects:
To find the minimum number of students who failed in all four subjects, we need to consider the subject with the highest failure rate, which is English (85%). This means that at least 85% of the students failed in English.
Now, let's assume there are a total of "n" students in the class. Since at least 85% of them failed in English, the number of students who failed in English would be at least 0.85n.
Next, let's consider the subject with the second-highest failure rate, which is Maths (80%). Since at least 80% of the students failed in Maths, the number of students who failed in both English and Maths would be at least 0.80n.
Similarly, the number of students who failed in Physics and Chemistry would be at least 0.70n and 0.72n respectively.
Calculating the Minimum Number of Students Who Failed in All Four Subjects:
To calculate the minimum number of students who failed in all four subjects, we need to find the intersection of the students who failed in each subject.
The intersection of the students who failed in English, Maths, Physics, and Chemistry can be found by taking the minimum value among the number of students who failed in each subject.
So, the minimum number of students who failed in all four subjects would be:
- min(0.85n, 0.80n, 0.70n, 0.72n)
Example Calculation:
Let's assume there are 100 students in the class (n = 100).
- The number of students who failed in English would be at least 0.85 * 100 = 85.
- The number of students who failed in Maths would be at least 0.80 * 100 = 80.
- The number of students who failed in Physics would be at least 0.70 * 100 = 70.
- The number of students who failed in Chemistry would be at least 0.72 * 100 = 72.
Therefore, the minimum number of students who failed in all four subjects would be min(85, 80, 70, 72) = 70.
Conclusion:
At least 70 students must have failed in all four subjects.
Attention JEE Students!
To make sure you are not studying endlessly, EduRev has designed JEE study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in JEE.
|
Explore Courses for JEE exam
|
|
Similar JEE Doubts
Top Courses for JEEView all
In an examination if a certain class ,at least 70%of the students failed in physics ,at least 72�iled in chemistry,at least 80�iled in maths and at least 85% failed in english .how many at least must have failed in all the four subjects?
Question Description
In an examination if a certain class ,at least 70%of the students failed in physics ,at least 72�iled in chemistry,at least 80�iled in maths and at least 85% failed in english .how many at least must have failed in all the four subjects? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about In an examination if a certain class ,at least 70%of the students failed in physics ,at least 72�iled in chemistry,at least 80�iled in maths and at least 85% failed in english .how many at least must have failed in all the four subjects? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In an examination if a certain class ,at least 70%of the students failed in physics ,at least 72�iled in chemistry,at least 80�iled in maths and at least 85% failed in english .how many at least must have failed in all the four subjects?.
In an examination if a certain class ,at least 70%of the students failed in physics ,at least 72�iled in chemistry,at least 80�iled in maths and at least 85% failed in english .how many at least must have failed in all the four subjects? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about In an examination if a certain class ,at least 70%of the students failed in physics ,at least 72�iled in chemistry,at least 80�iled in maths and at least 85% failed in english .how many at least must have failed in all the four subjects? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In an examination if a certain class ,at least 70%of the students failed in physics ,at least 72�iled in chemistry,at least 80�iled in maths and at least 85% failed in english .how many at least must have failed in all the four subjects?.
Solutions for In an examination if a certain class ,at least 70%of the students failed in physics ,at least 72�iled in chemistry,at least 80�iled in maths and at least 85% failed in english .how many at least must have failed in all the four subjects? in English & in Hindi are available as part of our courses for JEE.
Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free.
Here you can find the meaning of In an examination if a certain class ,at least 70%of the students failed in physics ,at least 72�iled in chemistry,at least 80�iled in maths and at least 85% failed in english .how many at least must have failed in all the four subjects? defined & explained in the simplest way possible. Besides giving the explanation of
In an examination if a certain class ,at least 70%of the students failed in physics ,at least 72�iled in chemistry,at least 80�iled in maths and at least 85% failed in english .how many at least must have failed in all the four subjects?, a detailed solution for In an examination if a certain class ,at least 70%of the students failed in physics ,at least 72�iled in chemistry,at least 80�iled in maths and at least 85% failed in english .how many at least must have failed in all the four subjects? has been provided alongside types of In an examination if a certain class ,at least 70%of the students failed in physics ,at least 72�iled in chemistry,at least 80�iled in maths and at least 85% failed in english .how many at least must have failed in all the four subjects? theory, EduRev gives you an
ample number of questions to practice In an examination if a certain class ,at least 70%of the students failed in physics ,at least 72�iled in chemistry,at least 80�iled in maths and at least 85% failed in english .how many at least must have failed in all the four subjects? tests, examples and also practice JEE tests.
|
|
Explore Courses for JEE 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
|
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