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In an examination of three subjects out of 260 students 190 passed in english 60 in maths and 75 in science for every person who failed only in english there were 2 person who failed only in science and 3 who failed in maths alone the no. of students who passed in exactly two subjects was 5 more then the number of students who passed in all three subjects those who passed in english along with only one other subject were equal in number to those who passed all three subjects find the number of students who failed in all the three subjects?
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In an examination of three subjects out of 260 students 190 passed in ...
Analysis of Students Passing and Failing in Subjects
- To find the number of students who failed in all three subjects, we need to analyze the given information about the students who passed and failed in each subject.

Given Information:
- Total number of students = 260
- Students who passed in English = 190
- Students who passed in Maths = 60
- Students who passed in Science = 75
- Students who failed only in English = x
- Students who failed only in Science = 2x
- Students who failed only in Maths = 3x
- Students who passed in exactly two subjects = y
- Students who passed in all three subjects = z

Analysis:
- Total students who passed at least one subject = 190 (English) + 60 (Maths) + 75 (Science) = 325
- Total students who failed at least one subject = 260 - 325 = 65
- From the given information, we can form the following equations:
1. x + y + z = 65 (Total students who failed at least one subject)
2. x + 2x + y = 190 (Total students who failed only in English)
3. 2x + z = 60 (Total students who failed only in Maths)
4. 3x + y = 75 (Total students who failed only in Science)
5. y = z + 5 (Number of students who passed in exactly two subjects is 5 more than those who passed in all three subjects)
6. x + y + z = 260 (Total number of students)

Solving the Equations:
- By solving the above equations simultaneously, we can find the values of x, y, and z. Once we have these values, we can determine the number of students who failed in all three subjects.
- The solution to these equations will provide the number of students who failed in all three subjects, completing the analysis of students passing and failing in different subjects.
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In an examination of three subjects out of 260 students 190 passed in english 60 in maths and 75 in science for every person who failed only in english there were 2 person who failed only in science and 3 who failed in maths alone the no. of students who passed in exactly two subjects was 5 more then the number of students who passed in all three subjects those who passed in english along with only one other subject were equal in number to those who passed all three subjects find the number of students who failed in all the three subjects?
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In an examination of three subjects out of 260 students 190 passed in english 60 in maths and 75 in science for every person who failed only in english there were 2 person who failed only in science and 3 who failed in maths alone the no. of students who passed in exactly two subjects was 5 more then the number of students who passed in all three subjects those who passed in english along with only one other subject were equal in number to those who passed all three subjects find the number of students who failed in all the three 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 of three subjects out of 260 students 190 passed in english 60 in maths and 75 in science for every person who failed only in english there were 2 person who failed only in science and 3 who failed in maths alone the no. of students who passed in exactly two subjects was 5 more then the number of students who passed in all three subjects those who passed in english along with only one other subject were equal in number to those who passed all three subjects find the number of students who failed in all the three subjects? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In an examination of three subjects out of 260 students 190 passed in english 60 in maths and 75 in science for every person who failed only in english there were 2 person who failed only in science and 3 who failed in maths alone the no. of students who passed in exactly two subjects was 5 more then the number of students who passed in all three subjects those who passed in english along with only one other subject were equal in number to those who passed all three subjects find the number of students who failed in all the three subjects?.
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