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31 candidates appeared for an examination,15 candidates passed in english, 15 candidates passed in hindi,20 candidates passed in sanskrit,7 candidates passed only in sanskrit ,3 candidates passed only in english,4 candidates passed only in hindi.2 candidates passed only in three subject.how many candidates passed only in two subject?
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31 candidates appeared for an examination,15 candidates passed in engl...
Ans.
I have solved this problem by venn diagram method
Let M, P and C be the set of candidates passed in Mathematics, Physics and chemistry respectively.
From the given data, it is clear that all candidates are passed atlest one subject.
From the venn diagram, it is clear that
x+y+z is the total number of candidates passed in only two subjects.
n(M)=15
⇒3+2+x+z=15
⇒x+z=15-5
⇒x+z=10.. (1)
n(P)=15
⇒2+4+x+y=15
⇒x+y=15-6
⇒x+y=9. .(2)
n(C)=20
⇒2+7+y+z=20
⇒y+z=20-9
⇒y+z=11 (3)
Adding (1), (2), (3) we get
2(x+y+z)=10+9+11
2(x+y+z)=30
x+y+z=15
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31 candidates appeared for an examination,15 candidates passed in engl...
Total Candidates:
31 candidates appeared for the examination.
Subject-wise Pass:
- 15 candidates passed in English
- 15 candidates passed in Hindi
- 20 candidates passed in Sanskrit
Pass Only in Sanskrit:
7 candidates passed only in Sanskrit.
Pass Only in English:
3 candidates passed only in English.
Pass Only in Hindi:
4 candidates passed only in Hindi.
Pass in Three Subjects:
2 candidates passed in all three subjects.
Analysis:
To find the number of candidates who passed only in two subjects, we need to subtract the candidates who passed in all three subjects and those who passed in only one subject from the total number of candidates.
Calculations:
Total candidates = 31
Candidates who passed only in Sanskrit = 7
Candidates who passed only in English = 3
Candidates who passed only in Hindi = 4
Candidates who passed in all three subjects = 2
Candidates who passed in only one subject = Total candidates - (Candidates who passed only in Sanskrit + Candidates who passed only in English + Candidates who passed only in Hindi + Candidates who passed in all three subjects)
Candidates who passed in only one subject = 31 - (7 + 3 + 4 + 2) = 15
Candidates Passed in Only Two Subjects:
To find the number of candidates who passed in only two subjects, we need to subtract the candidates who passed in all three subjects and those who passed in only one subject from the total number of candidates.
Candidates passed in only two subjects = Total candidates - (Candidates who passed only in one subject + Candidates who passed in all three subjects)
Candidates passed in only two subjects = 31 - (15 + 2) = 14
Conclusion:
There are 14 candidates who passed in only two subjects.
31 candidates appeared for the examination.
Subject-wise Pass:
- 15 candidates passed in English
- 15 candidates passed in Hindi
- 20 candidates passed in Sanskrit
Pass Only in Sanskrit:
7 candidates passed only in Sanskrit.
Pass Only in English:
3 candidates passed only in English.
Pass Only in Hindi:
4 candidates passed only in Hindi.
Pass in Three Subjects:
2 candidates passed in all three subjects.
Analysis:
To find the number of candidates who passed only in two subjects, we need to subtract the candidates who passed in all three subjects and those who passed in only one subject from the total number of candidates.
Calculations:
Total candidates = 31
Candidates who passed only in Sanskrit = 7
Candidates who passed only in English = 3
Candidates who passed only in Hindi = 4
Candidates who passed in all three subjects = 2
Candidates who passed in only one subject = Total candidates - (Candidates who passed only in Sanskrit + Candidates who passed only in English + Candidates who passed only in Hindi + Candidates who passed in all three subjects)
Candidates who passed in only one subject = 31 - (7 + 3 + 4 + 2) = 15
Candidates Passed in Only Two Subjects:
To find the number of candidates who passed in only two subjects, we need to subtract the candidates who passed in all three subjects and those who passed in only one subject from the total number of candidates.
Candidates passed in only two subjects = Total candidates - (Candidates who passed only in one subject + Candidates who passed in all three subjects)
Candidates passed in only two subjects = 31 - (15 + 2) = 14
Conclusion:
There are 14 candidates who passed in only two subjects.
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31 candidates appeared for an examination,15 candidates passed in english, 15 candidates passed in hindi,20 candidates passed in sanskrit,7 candidates passed only in sanskrit ,3 candidates passed only in english,4 candidates passed only in hindi.2 candidates passed only in three subject.how many candidates passed only in two subject?
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31 candidates appeared for an examination,15 candidates passed in english, 15 candidates passed in hindi,20 candidates passed in sanskrit,7 candidates passed only in sanskrit ,3 candidates passed only in english,4 candidates passed only in hindi.2 candidates passed only in three subject.how many candidates passed only in two subject? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about 31 candidates appeared for an examination,15 candidates passed in english, 15 candidates passed in hindi,20 candidates passed in sanskrit,7 candidates passed only in sanskrit ,3 candidates passed only in english,4 candidates passed only in hindi.2 candidates passed only in three subject.how many candidates passed only in two subject? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 31 candidates appeared for an examination,15 candidates passed in english, 15 candidates passed in hindi,20 candidates passed in sanskrit,7 candidates passed only in sanskrit ,3 candidates passed only in english,4 candidates passed only in hindi.2 candidates passed only in three subject.how many candidates passed only in two subject?.
31 candidates appeared for an examination,15 candidates passed in english, 15 candidates passed in hindi,20 candidates passed in sanskrit,7 candidates passed only in sanskrit ,3 candidates passed only in english,4 candidates passed only in hindi.2 candidates passed only in three subject.how many candidates passed only in two subject? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about 31 candidates appeared for an examination,15 candidates passed in english, 15 candidates passed in hindi,20 candidates passed in sanskrit,7 candidates passed only in sanskrit ,3 candidates passed only in english,4 candidates passed only in hindi.2 candidates passed only in three subject.how many candidates passed only in two subject? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 31 candidates appeared for an examination,15 candidates passed in english, 15 candidates passed in hindi,20 candidates passed in sanskrit,7 candidates passed only in sanskrit ,3 candidates passed only in english,4 candidates passed only in hindi.2 candidates passed only in three subject.how many candidates passed only in two subject?.
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