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In a college, there are three student clubs, Sixty students are only in the Drama club, 80 students are only in the Dance club, 30 students are only in the Maths club, 40 students are in both Drama and Dance clubs, 12 students are in both Dance and Maths clubs, 7 students are in both Drama and Maths clubs, and 2 students are in all the clubs. If 75% of the students in the college are not in any of these clubs, then the total number of students in the college is ________.
  • a)
    975
  • b)
    1000
  • c)
    225
  • d)
    900
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
In a college, there are three student clubs, Sixty students are only i...
Total number of students in the all three clubs
= 60 + 38 + 80 + 5 + 2 + 10 + 30 = 225
Total number of students in the college = X

Given that 75% of students are not of any of these clubs.
Remaining 25% of X = 225
0.25X = 225 ⇒ X = 225/0.25 = 900
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Most Upvoted Answer
In a college, there are three student clubs, Sixty students are only i...
Given information:
- Number of students only in Drama club = 60
- Number of students only in Dance club = 80
- Number of students only in Maths club = 30
- Number of students in both Drama and Dance clubs = 40
- Number of students in both Dance and Maths clubs = 12
- Number of students in both Drama and Maths clubs = 7
- Number of students in all three clubs = 2
- 75% of the students in the college are not in any of these clubs

To find:
- Total number of students in the college

Solution:
Let's start by drawing a Venn diagram to represent the given information:

```
Drama
/ \
/ \
Maths / \ Dance
/ \
/ \
+-----------+
All
```
From the Venn diagram, we can see that:
- Number of students in Drama club = 60 + 40 + 7 + 2 = 109
- Number of students in Dance club = 80 + 40 + 12 + 2 = 134
- Number of students in Maths club = 30 + 12 + 7 + 2 = 51
- Number of students in only one club = 60 + 80 + 30 = 170
- Number of students in two clubs = 40 + 12 + 7 = 59
- Number of students in all clubs = 2

Now, let's use the given information that 75% of the students are not in any of these clubs. This means that:
- Number of students not in any club = 0.75 * Total number of students
- Number of students in at least one club = 0.25 * Total number of students

We can use this information to form an equation:
Total number of students = Number of students not in any club + Number of students in at least one club
Total number of students = 0.75 * Total number of students + 0.25 * Total number of students
Total number of students = 4 * Number of students in at least one club

Substituting the values we calculated earlier, we get:
Total number of students = 4 * (170 + 59 + 2)
Total number of students = 4 * 231
Total number of students = 924

Therefore, the total number of students in the college is 924. Answer: (d) 900.
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In a college, there are three student clubs, Sixty students are only in the Drama club, 80 students are only in the Dance club, 30 students are only in the Maths club, 40 students are in both Drama and Dance clubs, 12 students are in both Dance and Maths clubs, 7 students are in both Drama and Maths clubs, and 2 students are in all the clubs. If 75% of the students in the college are not in any of these clubs, then the total number of students in the college is ________.a)975b)1000c)225d)900Correct answer is option 'D'. Can you explain this answer?
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In a college, there are three student clubs, Sixty students are only in the Drama club, 80 students are only in the Dance club, 30 students are only in the Maths club, 40 students are in both Drama and Dance clubs, 12 students are in both Dance and Maths clubs, 7 students are in both Drama and Maths clubs, and 2 students are in all the clubs. If 75% of the students in the college are not in any of these clubs, then the total number of students in the college is ________.a)975b)1000c)225d)900Correct answer is option 'D'. Can you explain this answer? for Computer Science Engineering (CSE) 2024 is part of Computer Science Engineering (CSE) preparation. The Question and answers have been prepared according to the Computer Science Engineering (CSE) exam syllabus. Information about In a college, there are three student clubs, Sixty students are only in the Drama club, 80 students are only in the Dance club, 30 students are only in the Maths club, 40 students are in both Drama and Dance clubs, 12 students are in both Dance and Maths clubs, 7 students are in both Drama and Maths clubs, and 2 students are in all the clubs. If 75% of the students in the college are not in any of these clubs, then the total number of students in the college is ________.a)975b)1000c)225d)900Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Computer Science Engineering (CSE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a college, there are three student clubs, Sixty students are only in the Drama club, 80 students are only in the Dance club, 30 students are only in the Maths club, 40 students are in both Drama and Dance clubs, 12 students are in both Dance and Maths clubs, 7 students are in both Drama and Maths clubs, and 2 students are in all the clubs. If 75% of the students in the college are not in any of these clubs, then the total number of students in the college is ________.a)975b)1000c)225d)900Correct answer is option 'D'. Can you explain this answer?.
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