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In a class of 200 students, 125 students have taken Programming Language course, 85 students have taken Data Structures course, 65 students have taken Computer Organization course; 50 students have taken both Programming Language and Data Structures, 35 students have taken both Data Structures and Computer Organization; 30 students have taken both Data Structures and Computer Organization, 15 students have taken all the three courses. How many students have not taken any of the three courses?
- a)15
- b)20
- c)25
- d)30
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
In a class of 200 students, 125 students have taken Programming Langua...
According to inclusion - exclusion formula:
PL = students who have taken programming.
DS = Students who have taken Data structures.
CO = Students who have taken Computer Organization.
So, the number of students who have taken atleast 1 of the 3 courses is given by:
= 125 + 85 + 65 - 50 - 35 - 30 + 15
= 175
Therefore, the number of students who have not taken any of the 3 courses is
= Total students-students taken atleast 1 course
= 200-175 = 25
Most Upvoted Answer
In a class of 200 students, 125 students have taken Programming Langua...
To solve this problem, we can use the principle of inclusion-exclusion. We need to find the number of students who have not taken any of the three courses.
Let's break down the given information:
Total number of students in the class = 200
Number of students who have taken the Programming Language course = 125
Number of students who have taken the Data Structures course = 85
Number of students who have taken the Computer Organization course = 65
Number of students who have taken both Programming Language and Data Structures = 50
Number of students who have taken both Data Structures and Computer Organization = 35
Number of students who have taken both Programming Language and Computer Organization = ?
Number of students who have taken all three courses = 15
To find the number of students who have taken both Programming Language and Computer Organization, we can subtract the number of students who have taken both Programming Language and Data Structures (50) from the total number of students who have taken the Programming Language course (125). So,
Number of students who have taken both Programming Language and Computer Organization = 125 - 50 = 75
Now, let's find the number of students who have taken only one of the three courses:
Number of students who have taken only the Programming Language course = Total number of students who have taken the Programming Language course - (Number of students who have taken both Programming Language and Data Structures + Number of students who have taken both Programming Language and Computer Organization + Number of students who have taken all three courses)
Number of students who have taken only the Programming Language course = 125 - (50 + 75 + 15) = 125 - 140 = -15 (which is not possible)
Similarly, we can find the number of students who have taken only the Data Structures course and the number of students who have taken only the Computer Organization course:
Number of students who have taken only the Data Structures course = Total number of students who have taken the Data Structures course - (Number of students who have taken both Programming Language and Data Structures + Number of students who have taken both Data Structures and Computer Organization + Number of students who have taken all three courses)
Number of students who have taken only the Data Structures course = 85 - (50 + 35 + 15) = 85 - 100 = -15 (which is not possible)
Number of students who have taken only the Computer Organization course = Total number of students who have taken the Computer Organization course - (Number of students who have taken both Programming Language and Computer Organization + Number of students who have taken both Data Structures and Computer Organization + Number of students who have taken all three courses)
Number of students who have taken only the Computer Organization course = 65 - (75 + 35 + 15) = 65 - 125 = -60 (which is not possible)
From the above calculations, we can see that the number of students who have taken only one of the three courses is negative, which means there might be some overlap in the given information.
To find the number of students who have not taken any of the three courses, we can subtract the total number of students who have taken at least one of the three courses from the total number of students in the class:
Number of students who have not taken any of the three courses = Total number of students in the class - (Number of students who have taken at least one of the three courses)
Number of students who have
Let's break down the given information:
Total number of students in the class = 200
Number of students who have taken the Programming Language course = 125
Number of students who have taken the Data Structures course = 85
Number of students who have taken the Computer Organization course = 65
Number of students who have taken both Programming Language and Data Structures = 50
Number of students who have taken both Data Structures and Computer Organization = 35
Number of students who have taken both Programming Language and Computer Organization = ?
Number of students who have taken all three courses = 15
To find the number of students who have taken both Programming Language and Computer Organization, we can subtract the number of students who have taken both Programming Language and Data Structures (50) from the total number of students who have taken the Programming Language course (125). So,
Number of students who have taken both Programming Language and Computer Organization = 125 - 50 = 75
Now, let's find the number of students who have taken only one of the three courses:
Number of students who have taken only the Programming Language course = Total number of students who have taken the Programming Language course - (Number of students who have taken both Programming Language and Data Structures + Number of students who have taken both Programming Language and Computer Organization + Number of students who have taken all three courses)
Number of students who have taken only the Programming Language course = 125 - (50 + 75 + 15) = 125 - 140 = -15 (which is not possible)
Similarly, we can find the number of students who have taken only the Data Structures course and the number of students who have taken only the Computer Organization course:
Number of students who have taken only the Data Structures course = Total number of students who have taken the Data Structures course - (Number of students who have taken both Programming Language and Data Structures + Number of students who have taken both Data Structures and Computer Organization + Number of students who have taken all three courses)
Number of students who have taken only the Data Structures course = 85 - (50 + 35 + 15) = 85 - 100 = -15 (which is not possible)
Number of students who have taken only the Computer Organization course = Total number of students who have taken the Computer Organization course - (Number of students who have taken both Programming Language and Computer Organization + Number of students who have taken both Data Structures and Computer Organization + Number of students who have taken all three courses)
Number of students who have taken only the Computer Organization course = 65 - (75 + 35 + 15) = 65 - 125 = -60 (which is not possible)
From the above calculations, we can see that the number of students who have taken only one of the three courses is negative, which means there might be some overlap in the given information.
To find the number of students who have not taken any of the three courses, we can subtract the total number of students who have taken at least one of the three courses from the total number of students in the class:
Number of students who have not taken any of the three courses = Total number of students in the class - (Number of students who have taken at least one of the three courses)
Number of students who have
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In a class of 200 students, 125 students have taken Programming Language course, 85 students have taken Data Structures course, 65 students have taken Computer Organization course; 50 students have taken both Programming Language and Data Structures, 35 students have taken both Data Structures and Computer Organization; 30 students have taken both Data Structures and Computer Organization, 15 students have taken all the three courses. How many students have not taken any of the three courses?a)15b)20c)25d)30Correct answer is option 'C'. Can you explain this answer?
Question Description
In a class of 200 students, 125 students have taken Programming Language course, 85 students have taken Data Structures course, 65 students have taken Computer Organization course; 50 students have taken both Programming Language and Data Structures, 35 students have taken both Data Structures and Computer Organization; 30 students have taken both Data Structures and Computer Organization, 15 students have taken all the three courses. How many students have not taken any of the three courses?a)15b)20c)25d)30Correct answer is option 'C'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about In a class of 200 students, 125 students have taken Programming Language course, 85 students have taken Data Structures course, 65 students have taken Computer Organization course; 50 students have taken both Programming Language and Data Structures, 35 students have taken both Data Structures and Computer Organization; 30 students have taken both Data Structures and Computer Organization, 15 students have taken all the three courses. How many students have not taken any of the three courses?a)15b)20c)25d)30Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a class of 200 students, 125 students have taken Programming Language course, 85 students have taken Data Structures course, 65 students have taken Computer Organization course; 50 students have taken both Programming Language and Data Structures, 35 students have taken both Data Structures and Computer Organization; 30 students have taken both Data Structures and Computer Organization, 15 students have taken all the three courses. How many students have not taken any of the three courses?a)15b)20c)25d)30Correct answer is option 'C'. Can you explain this answer?.
In a class of 200 students, 125 students have taken Programming Language course, 85 students have taken Data Structures course, 65 students have taken Computer Organization course; 50 students have taken both Programming Language and Data Structures, 35 students have taken both Data Structures and Computer Organization; 30 students have taken both Data Structures and Computer Organization, 15 students have taken all the three courses. How many students have not taken any of the three courses?a)15b)20c)25d)30Correct answer is option 'C'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about In a class of 200 students, 125 students have taken Programming Language course, 85 students have taken Data Structures course, 65 students have taken Computer Organization course; 50 students have taken both Programming Language and Data Structures, 35 students have taken both Data Structures and Computer Organization; 30 students have taken both Data Structures and Computer Organization, 15 students have taken all the three courses. How many students have not taken any of the three courses?a)15b)20c)25d)30Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a class of 200 students, 125 students have taken Programming Language course, 85 students have taken Data Structures course, 65 students have taken Computer Organization course; 50 students have taken both Programming Language and Data Structures, 35 students have taken both Data Structures and Computer Organization; 30 students have taken both Data Structures and Computer Organization, 15 students have taken all the three courses. How many students have not taken any of the three courses?a)15b)20c)25d)30Correct answer is option 'C'. Can you explain this answer?.
Solutions for In a class of 200 students, 125 students have taken Programming Language course, 85 students have taken Data Structures course, 65 students have taken Computer Organization course; 50 students have taken both Programming Language and Data Structures, 35 students have taken both Data Structures and Computer Organization; 30 students have taken both Data Structures and Computer Organization, 15 students have taken all the three courses. How many students have not taken any of the three courses?a)15b)20c)25d)30Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for GATE.
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