JEE Exam > JEE Questions > There are 100 students in a class. In an exam...
Start Learning for Free
There are 100 students in a class. In an examination, 50 of them failed in Mathematics, 45 failed in Physics, 40 failed in Biology and 32 failed in exactly two of the three subjects. Only one student passed in all the subjects. Then the number of students failing in all the three subjects
- a)is 12
- b)is 4
- c)is 2
- d)cannot be determined from given information
Correct answer is option 'C'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
There are 100 students in a class. In an examination, 50 of them faile...
n(MUPUB) = n(M) + n(P) + n(B) -n(M ∩ P) - n(PMB) - n(B ∩ P) + n(M ∩ P ∩ B)
given n(M) = 50 , n (P) = 45, n(B) = 40;
n(M∩ P) + n(P∩ B) + n(B∩ M) - 3(M∩ P ∩ B) = 32
99 = 50 + 45 + 40 – (32 + 3 n (M ∩ P∩ B) )+ n(M ∩ P∩ B) ;
2 n(M ∩ P ∩ B) = 36 – 32;
n(M∩ P ∩ B) = 2
Most Upvoted Answer
There are 100 students in a class. In an examination, 50 of them faile...
Given Information:
- There are 100 students in a class.
- 50 students failed in Mathematics.
- 45 students failed in Physics.
- 40 students failed in Biology.
- 32 students failed in exactly two of the three subjects.
- Only one student passed in all the subjects.
To Find:
The number of students failing in all three subjects.
Solution:
Let's analyze the given information step by step.
Step 1: Total Number of Students
It is given that there are 100 students in the class.
Step 2: Number of Students Failed in Each Subject
- 50 students failed in Mathematics.
- 45 students failed in Physics.
- 40 students failed in Biology.
Step 3: Number of Students Failed in Exactly Two Subjects
It is given that 32 students failed in exactly two out of the three subjects.
Step 4: Number of Students Passed in All Subjects
It is given that only one student passed in all the subjects.
Step 5: Calculation
We need to find the number of students failing in all three subjects.
Let's assume the number of students failing in all three subjects is 'x'.
Using the given information, we can write the following equation:
Number of students failing in Mathematics + Number of students failing in Physics + Number of students failing in Biology - 2*(Number of students failed in exactly two subjects) - Number of students passed in all subjects = Total number of students
50 + 45 + 40 - 2*32 - 1 = 100
135 - 64 - 1 = 100
70 - 1 = 100
69 = 100
This is not possible, as the number of students cannot be greater than the total number of students in the class.
Therefore, it cannot be determined from the given information how many students failed in all three subjects.
Conclusion:
The correct answer is option 'D' - cannot be determined from the given information.
- There are 100 students in a class.
- 50 students failed in Mathematics.
- 45 students failed in Physics.
- 40 students failed in Biology.
- 32 students failed in exactly two of the three subjects.
- Only one student passed in all the subjects.
To Find:
The number of students failing in all three subjects.
Solution:
Let's analyze the given information step by step.
Step 1: Total Number of Students
It is given that there are 100 students in the class.
Step 2: Number of Students Failed in Each Subject
- 50 students failed in Mathematics.
- 45 students failed in Physics.
- 40 students failed in Biology.
Step 3: Number of Students Failed in Exactly Two Subjects
It is given that 32 students failed in exactly two out of the three subjects.
Step 4: Number of Students Passed in All Subjects
It is given that only one student passed in all the subjects.
Step 5: Calculation
We need to find the number of students failing in all three subjects.
Let's assume the number of students failing in all three subjects is 'x'.
Using the given information, we can write the following equation:
Number of students failing in Mathematics + Number of students failing in Physics + Number of students failing in Biology - 2*(Number of students failed in exactly two subjects) - Number of students passed in all subjects = Total number of students
50 + 45 + 40 - 2*32 - 1 = 100
135 - 64 - 1 = 100
70 - 1 = 100
69 = 100
This is not possible, as the number of students cannot be greater than the total number of students in the class.
Therefore, it cannot be determined from the given information how many students failed in all three subjects.
Conclusion:
The correct answer is option 'D' - cannot be determined from the given information.
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
There are 100 students in a class. In an examination, 50 of them failed in Mathematics, 45 failed in Physics, 40 failed in Biology and 32 failed in exactly two of the three subjects. Only one student passed in all the subjects. Then the number of students failing in all the three subjectsa)is 12b)is 4c)is 2d)cannot be determined from given informationCorrect answer is option 'C'. Can you explain this answer?
Question Description
There are 100 students in a class. In an examination, 50 of them failed in Mathematics, 45 failed in Physics, 40 failed in Biology and 32 failed in exactly two of the three subjects. Only one student passed in all the subjects. Then the number of students failing in all the three subjectsa)is 12b)is 4c)is 2d)cannot be determined from given informationCorrect answer is option 'C'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about There are 100 students in a class. In an examination, 50 of them failed in Mathematics, 45 failed in Physics, 40 failed in Biology and 32 failed in exactly two of the three subjects. Only one student passed in all the subjects. Then the number of students failing in all the three subjectsa)is 12b)is 4c)is 2d)cannot be determined from given informationCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for There are 100 students in a class. In an examination, 50 of them failed in Mathematics, 45 failed in Physics, 40 failed in Biology and 32 failed in exactly two of the three subjects. Only one student passed in all the subjects. Then the number of students failing in all the three subjectsa)is 12b)is 4c)is 2d)cannot be determined from given informationCorrect answer is option 'C'. Can you explain this answer?.
There are 100 students in a class. In an examination, 50 of them failed in Mathematics, 45 failed in Physics, 40 failed in Biology and 32 failed in exactly two of the three subjects. Only one student passed in all the subjects. Then the number of students failing in all the three subjectsa)is 12b)is 4c)is 2d)cannot be determined from given informationCorrect answer is option 'C'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about There are 100 students in a class. In an examination, 50 of them failed in Mathematics, 45 failed in Physics, 40 failed in Biology and 32 failed in exactly two of the three subjects. Only one student passed in all the subjects. Then the number of students failing in all the three subjectsa)is 12b)is 4c)is 2d)cannot be determined from given informationCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for There are 100 students in a class. In an examination, 50 of them failed in Mathematics, 45 failed in Physics, 40 failed in Biology and 32 failed in exactly two of the three subjects. Only one student passed in all the subjects. Then the number of students failing in all the three subjectsa)is 12b)is 4c)is 2d)cannot be determined from given informationCorrect answer is option 'C'. Can you explain this answer?.
Solutions for There are 100 students in a class. In an examination, 50 of them failed in Mathematics, 45 failed in Physics, 40 failed in Biology and 32 failed in exactly two of the three subjects. Only one student passed in all the subjects. Then the number of students failing in all the three subjectsa)is 12b)is 4c)is 2d)cannot be determined from given informationCorrect answer is option 'C'. Can you explain this answer? 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 There are 100 students in a class. In an examination, 50 of them failed in Mathematics, 45 failed in Physics, 40 failed in Biology and 32 failed in exactly two of the three subjects. Only one student passed in all the subjects. Then the number of students failing in all the three subjectsa)is 12b)is 4c)is 2d)cannot be determined from given informationCorrect answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
There are 100 students in a class. In an examination, 50 of them failed in Mathematics, 45 failed in Physics, 40 failed in Biology and 32 failed in exactly two of the three subjects. Only one student passed in all the subjects. Then the number of students failing in all the three subjectsa)is 12b)is 4c)is 2d)cannot be determined from given informationCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for There are 100 students in a class. In an examination, 50 of them failed in Mathematics, 45 failed in Physics, 40 failed in Biology and 32 failed in exactly two of the three subjects. Only one student passed in all the subjects. Then the number of students failing in all the three subjectsa)is 12b)is 4c)is 2d)cannot be determined from given informationCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of There are 100 students in a class. In an examination, 50 of them failed in Mathematics, 45 failed in Physics, 40 failed in Biology and 32 failed in exactly two of the three subjects. Only one student passed in all the subjects. Then the number of students failing in all the three subjectsa)is 12b)is 4c)is 2d)cannot be determined from given informationCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice There are 100 students in a class. In an examination, 50 of them failed in Mathematics, 45 failed in Physics, 40 failed in Biology and 32 failed in exactly two of the three subjects. Only one student passed in all the subjects. Then the number of students failing in all the three subjectsa)is 12b)is 4c)is 2d)cannot be determined from given informationCorrect answer is option 'C'. Can you explain this answer? 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