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There are 3 clubs A, B & C in a town with 40, 50 & 60 members respectively. While 10 people are members of all 3 clubs, 70 are members in only one club. How many belong to exactly two clubs?
- a)20
- b)25
- c)50
- d)70
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
There are 3 clubs A, B & C in a town with 40, 50 & 60 members ...
We know that x + y + z = T and x + 2y + 3z = R, where
x = number of members belonging to exactly 1 set = 70
y = number of members belonging to exactly 2 sets
z = number of members belonging to exactly 3 sets = 10
T = Total number of members
R = Repeated total of all the members = (40 + 50 + 60) = 150
Thus we have two equations and two unknowns. Solving this we get y = 25
x = number of members belonging to exactly 1 set = 70
y = number of members belonging to exactly 2 sets
z = number of members belonging to exactly 3 sets = 10
T = Total number of members
R = Repeated total of all the members = (40 + 50 + 60) = 150
Thus we have two equations and two unknowns. Solving this we get y = 25
So, 25 people belong to exactly 2 clubs.
Most Upvoted Answer
There are 3 clubs A, B & C in a town with 40, 50 & 60 members ...
And C.
Club A is a sports club that focuses on various sports activities such as football, basketball, and volleyball. It has a well-equipped gymnasium, outdoor fields, and courts for different sports. Club A organizes regular tournaments and competitions for its members and also offers coaching and training programs.
Club B is a music club that caters to individuals interested in music and performing arts. It has a music studio with various musical instruments, practice rooms, and a performance stage. Club B offers music lessons, band practice sessions, and organizes concerts and showcases for its members. It also provides opportunities for members to collaborate and form bands or music groups.
Club C is an academic club that focuses on intellectual and academic pursuits. It offers study groups, tutoring sessions, and workshops to help members excel in their studies. Club C also organizes academic competitions, debates, and guest lectures to enhance members' knowledge and skills. It provides a supportive and stimulating environment for members to engage in intellectual discussions and develop critical thinking abilities.
Overall, these three clubs provide diverse opportunities for individuals to engage in sports, music, and academic pursuits, catering to different interests and passions.
Club A is a sports club that focuses on various sports activities such as football, basketball, and volleyball. It has a well-equipped gymnasium, outdoor fields, and courts for different sports. Club A organizes regular tournaments and competitions for its members and also offers coaching and training programs.
Club B is a music club that caters to individuals interested in music and performing arts. It has a music studio with various musical instruments, practice rooms, and a performance stage. Club B offers music lessons, band practice sessions, and organizes concerts and showcases for its members. It also provides opportunities for members to collaborate and form bands or music groups.
Club C is an academic club that focuses on intellectual and academic pursuits. It offers study groups, tutoring sessions, and workshops to help members excel in their studies. Club C also organizes academic competitions, debates, and guest lectures to enhance members' knowledge and skills. It provides a supportive and stimulating environment for members to engage in intellectual discussions and develop critical thinking abilities.
Overall, these three clubs provide diverse opportunities for individuals to engage in sports, music, and academic pursuits, catering to different interests and passions.
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There are 3 clubs A, B & C in a town with 40, 50 & 60 members respectively. While 10 people are members of all 3 clubs, 70 are members in only one club. How many belong to exactly two clubs?a)20b)25c)50d)70Correct answer is option 'B'. Can you explain this answer? for Banking Exams 2025 is part of Banking Exams preparation. The Question and answers have been prepared according to the Banking Exams exam syllabus. Information about There are 3 clubs A, B & C in a town with 40, 50 & 60 members respectively. While 10 people are members of all 3 clubs, 70 are members in only one club. How many belong to exactly two clubs?a)20b)25c)50d)70Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Banking Exams 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for There are 3 clubs A, B & C in a town with 40, 50 & 60 members respectively. While 10 people are members of all 3 clubs, 70 are members in only one club. How many belong to exactly two clubs?a)20b)25c)50d)70Correct answer is option 'B'. Can you explain this answer?.
There are 3 clubs A, B & C in a town with 40, 50 & 60 members respectively. While 10 people are members of all 3 clubs, 70 are members in only one club. How many belong to exactly two clubs?a)20b)25c)50d)70Correct answer is option 'B'. Can you explain this answer? for Banking Exams 2025 is part of Banking Exams preparation. The Question and answers have been prepared according to the Banking Exams exam syllabus. Information about There are 3 clubs A, B & C in a town with 40, 50 & 60 members respectively. While 10 people are members of all 3 clubs, 70 are members in only one club. How many belong to exactly two clubs?a)20b)25c)50d)70Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Banking Exams 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for There are 3 clubs A, B & C in a town with 40, 50 & 60 members respectively. While 10 people are members of all 3 clubs, 70 are members in only one club. How many belong to exactly two clubs?a)20b)25c)50d)70Correct answer is option 'B'. Can you explain this answer?.
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