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Group Question
Answer the following question based on the information given below.
There are three trade unions - Viram, Vishram and Vikram - and three thousand six hundred workers in a company. Becoming a member of a trade union is optional. Also, a worker can be a member of more than one of the given unions. There are 500 workers who are members of atleast two trade unions while Vishram has 1400 members. There are 100 workers who are members of only Viram and Vikram, whereas 200 Vishram members are also Vikram members only. 500 workers are members of only Vikram where as 20% of Viram members are members of exactly one more union. One-eighth of all the workers in the company are members of exactly two unions.
Q. How many workers are members of all the three unions?
Correct answer is '50'. Can you explain this answer?
Verified Answer
Group QuestionAnswer the following question based on the information g...
Solution: Represent the three trade unions as shown below.
Let h = number of workers who do not opt for any trade union. a + b + c + d + e + f + g + h = 3600 ... (1) On-eighth of all the workers are members of exactly two unions. : . d + e + f = 3600/8 = 450 ... (2) Also, 500 workers are members of atleast two trade unions. so d + e + f + g = 500 ... (3), g = 50
100 workers are members of only Viram and Vikram i.e. e = 100
500 workers are members o f only Vikram i.e. b = 500.
200 Vishram members are also Vikram members only. The part common to Vishram and Vikram only is f . i . e f. d = 450 -(100 + 200) i.e. d. There are 1400 members in Vishram. c + d + f + g = 140. So c = 1400 - (150 + 200 + 50) i.e. c = 1000
20% of Viram members are members of exactly one more union. Total members in Viram = a + d + e + g = (d + e) x 5 = (150 + 100) x 5 = 1250
a = 1250 - (250 + 50) = 950 h = 3600 - (1250 + 500 + 200 + 1000) = 650 Thus, number of workers who are members of all three unions = 50
Ans: 50
a = 1250 - (250 + 50) = 950 h = 3600 - (1250 + 500 + 200 + 1000) = 650 Thus, number of workers who are members of all three unions = 50
Ans: 50
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Most Upvoted Answer
Group QuestionAnswer the following question based on the information g...
Given Information:
- There are three trade unions - Viram, Vishram, and Vikram.
- There are 3,600 workers in the company.
- Becoming a member of a trade union is optional.
- A worker can be a member of more than one trade union.
- There are 500 workers who are members of at least two trade unions.
- Vishram has 1,400 members.
- There are 100 workers who are members of only Viram and Vikram.
- 200 Vishram members are also Vikram members only.
- 500 workers are members of only Vikram.
- 20% of Viram members are members of exactly one more union.
- One-eighth of all workers in the company are members of exactly two unions.
Solution:
To find the number of workers who are members of all three unions, we need to analyze the given information step by step.
Step 1: Find the Total Members of Each Union
- Vishram has 1,400 members.
- Let the number of members in Viram be V.
- Let the number of members in Vikram be K.
- V + K + 1,400 = 3,600 (Total workers in the company)
- V + K = 2,200
Step 2: Analyzing the Worker Memberships
- There are 500 workers who are members of at least two trade unions.
- 100 workers are members of only Viram and Vikram.
- 200 Vishram members are also Vikram members only.
- 500 workers are members of only Vikram.
- Let the number of workers who are members of Viram, Vikram, and Vishram be x.
- (V - 100) + (K - 100) + (1,400 - 200) + 500 + x = 3,600
- V + K - 200 + 1,700 + x = 3,600
- V + K + x = 2,300 ... (Equation 1)
Step 3: Analyzing the Worker Memberships (Continued)
- 20% of Viram members are members of exactly one more union.
- Let the number of Viram members who are members of exactly one more union be y.
- 0.2V = y ... (Equation 2)
Step 4: Analyzing the Worker Memberships (Continued)
- One-eighth of all workers in the company are members of exactly two unions.
- (Number of workers who are members of exactly two unions) / Total workers = 1/8
- 500 / 3,600 = 1/8
- Number of workers who are members of exactly two unions = 450
Step 5: Solving the Equations
- From Equation 1: V + K + x = 2,300
- From Equation 2: 0.2V = y
- Subtracting Equation 2 from Equation 1: V + K + x - 0.2V = 2,300 - y
- 0.8V + K + x = 2,300 - y
- 0.8V + K + x = 2,
- There are three trade unions - Viram, Vishram, and Vikram.
- There are 3,600 workers in the company.
- Becoming a member of a trade union is optional.
- A worker can be a member of more than one trade union.
- There are 500 workers who are members of at least two trade unions.
- Vishram has 1,400 members.
- There are 100 workers who are members of only Viram and Vikram.
- 200 Vishram members are also Vikram members only.
- 500 workers are members of only Vikram.
- 20% of Viram members are members of exactly one more union.
- One-eighth of all workers in the company are members of exactly two unions.
Solution:
To find the number of workers who are members of all three unions, we need to analyze the given information step by step.
Step 1: Find the Total Members of Each Union
- Vishram has 1,400 members.
- Let the number of members in Viram be V.
- Let the number of members in Vikram be K.
- V + K + 1,400 = 3,600 (Total workers in the company)
- V + K = 2,200
Step 2: Analyzing the Worker Memberships
- There are 500 workers who are members of at least two trade unions.
- 100 workers are members of only Viram and Vikram.
- 200 Vishram members are also Vikram members only.
- 500 workers are members of only Vikram.
- Let the number of workers who are members of Viram, Vikram, and Vishram be x.
- (V - 100) + (K - 100) + (1,400 - 200) + 500 + x = 3,600
- V + K - 200 + 1,700 + x = 3,600
- V + K + x = 2,300 ... (Equation 1)
Step 3: Analyzing the Worker Memberships (Continued)
- 20% of Viram members are members of exactly one more union.
- Let the number of Viram members who are members of exactly one more union be y.
- 0.2V = y ... (Equation 2)
Step 4: Analyzing the Worker Memberships (Continued)
- One-eighth of all workers in the company are members of exactly two unions.
- (Number of workers who are members of exactly two unions) / Total workers = 1/8
- 500 / 3,600 = 1/8
- Number of workers who are members of exactly two unions = 450
Step 5: Solving the Equations
- From Equation 1: V + K + x = 2,300
- From Equation 2: 0.2V = y
- Subtracting Equation 2 from Equation 1: V + K + x - 0.2V = 2,300 - y
- 0.8V + K + x = 2,300 - y
- 0.8V + K + x = 2,
Community Answer
Group QuestionAnswer the following question based on the information g...
There are 500 workers who are members of atleast two trade unions which means that out of 3600 only 500 are members of either 2 or 3 trade unions.
also, o
ne-eighth of all the workers in the company are members of exactly two unions which means 1/8*3600=450
Therefore,
(no. of workers in all three unions)= (no. of workers in more than 1 union)-(no. of workers in exactly 2 unions)
(no. of workers in all three unions)= 500-450
=50
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Group QuestionAnswer the following question based on the information given below.There are three trade unions - Viram, Vishram and Vikram - and three thousand six hundred workers in a company. Becoming a member of a trade union is optional. Also, a worker can be a member of more than one of the given unions. There are 500 workers who are members of atleast two trade unions while Vishram has 1400 members. There are 100 workers who are members of only Viram and Vikram, whereas 200 Vishram members are also Vikram members only. 500 workers are members of only Vikram where as 20% of Viram members are members of exactly one more union. One-eighth of all the workers in the company are members of exactly two unions.Q. How many workers are members of all the three unions?Correct answer is '50'. Can you explain this answer?
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Group QuestionAnswer the following question based on the information given below.There are three trade unions - Viram, Vishram and Vikram - and three thousand six hundred workers in a company. Becoming a member of a trade union is optional. Also, a worker can be a member of more than one of the given unions. There are 500 workers who are members of atleast two trade unions while Vishram has 1400 members. There are 100 workers who are members of only Viram and Vikram, whereas 200 Vishram members are also Vikram members only. 500 workers are members of only Vikram where as 20% of Viram members are members of exactly one more union. One-eighth of all the workers in the company are members of exactly two unions.Q. How many workers are members of all the three unions?Correct answer is '50'. Can you explain this answer? for CAT 2025 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Group QuestionAnswer the following question based on the information given below.There are three trade unions - Viram, Vishram and Vikram - and three thousand six hundred workers in a company. Becoming a member of a trade union is optional. Also, a worker can be a member of more than one of the given unions. There are 500 workers who are members of atleast two trade unions while Vishram has 1400 members. There are 100 workers who are members of only Viram and Vikram, whereas 200 Vishram members are also Vikram members only. 500 workers are members of only Vikram where as 20% of Viram members are members of exactly one more union. One-eighth of all the workers in the company are members of exactly two unions.Q. How many workers are members of all the three unions?Correct answer is '50'. Can you explain this answer? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Group QuestionAnswer the following question based on the information given below.There are three trade unions - Viram, Vishram and Vikram - and three thousand six hundred workers in a company. Becoming a member of a trade union is optional. Also, a worker can be a member of more than one of the given unions. There are 500 workers who are members of atleast two trade unions while Vishram has 1400 members. There are 100 workers who are members of only Viram and Vikram, whereas 200 Vishram members are also Vikram members only. 500 workers are members of only Vikram where as 20% of Viram members are members of exactly one more union. One-eighth of all the workers in the company are members of exactly two unions.Q. How many workers are members of all the three unions?Correct answer is '50'. Can you explain this answer?.
Group QuestionAnswer the following question based on the information given below.There are three trade unions - Viram, Vishram and Vikram - and three thousand six hundred workers in a company. Becoming a member of a trade union is optional. Also, a worker can be a member of more than one of the given unions. There are 500 workers who are members of atleast two trade unions while Vishram has 1400 members. There are 100 workers who are members of only Viram and Vikram, whereas 200 Vishram members are also Vikram members only. 500 workers are members of only Vikram where as 20% of Viram members are members of exactly one more union. One-eighth of all the workers in the company are members of exactly two unions.Q. How many workers are members of all the three unions?Correct answer is '50'. Can you explain this answer? for CAT 2025 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Group QuestionAnswer the following question based on the information given below.There are three trade unions - Viram, Vishram and Vikram - and three thousand six hundred workers in a company. Becoming a member of a trade union is optional. Also, a worker can be a member of more than one of the given unions. There are 500 workers who are members of atleast two trade unions while Vishram has 1400 members. There are 100 workers who are members of only Viram and Vikram, whereas 200 Vishram members are also Vikram members only. 500 workers are members of only Vikram where as 20% of Viram members are members of exactly one more union. One-eighth of all the workers in the company are members of exactly two unions.Q. How many workers are members of all the three unions?Correct answer is '50'. Can you explain this answer? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Group QuestionAnswer the following question based on the information given below.There are three trade unions - Viram, Vishram and Vikram - and three thousand six hundred workers in a company. Becoming a member of a trade union is optional. Also, a worker can be a member of more than one of the given unions. There are 500 workers who are members of atleast two trade unions while Vishram has 1400 members. There are 100 workers who are members of only Viram and Vikram, whereas 200 Vishram members are also Vikram members only. 500 workers are members of only Vikram where as 20% of Viram members are members of exactly one more union. One-eighth of all the workers in the company are members of exactly two unions.Q. How many workers are members of all the three unions?Correct answer is '50'. Can you explain this answer?.
Solutions for Group QuestionAnswer the following question based on the information given below.There are three trade unions - Viram, Vishram and Vikram - and three thousand six hundred workers in a company. Becoming a member of a trade union is optional. Also, a worker can be a member of more than one of the given unions. There are 500 workers who are members of atleast two trade unions while Vishram has 1400 members. There are 100 workers who are members of only Viram and Vikram, whereas 200 Vishram members are also Vikram members only. 500 workers are members of only Vikram where as 20% of Viram members are members of exactly one more union. One-eighth of all the workers in the company are members of exactly two unions.Q. How many workers are members of all the three unions?Correct answer is '50'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT.
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Here you can find the meaning of Group QuestionAnswer the following question based on the information given below.There are three trade unions - Viram, Vishram and Vikram - and three thousand six hundred workers in a company. Becoming a member of a trade union is optional. Also, a worker can be a member of more than one of the given unions. There are 500 workers who are members of atleast two trade unions while Vishram has 1400 members. There are 100 workers who are members of only Viram and Vikram, whereas 200 Vishram members are also Vikram members only. 500 workers are members of only Vikram where as 20% of Viram members are members of exactly one more union. One-eighth of all the workers in the company are members of exactly two unions.Q. How many workers are members of all the three unions?Correct answer is '50'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Group QuestionAnswer the following question based on the information given below.There are three trade unions - Viram, Vishram and Vikram - and three thousand six hundred workers in a company. Becoming a member of a trade union is optional. Also, a worker can be a member of more than one of the given unions. There are 500 workers who are members of atleast two trade unions while Vishram has 1400 members. There are 100 workers who are members of only Viram and Vikram, whereas 200 Vishram members are also Vikram members only. 500 workers are members of only Vikram where as 20% of Viram members are members of exactly one more union. One-eighth of all the workers in the company are members of exactly two unions.Q. How many workers are members of all the three unions?Correct answer is '50'. Can you explain this answer?, a detailed solution for Group QuestionAnswer the following question based on the information given below.There are three trade unions - Viram, Vishram and Vikram - and three thousand six hundred workers in a company. Becoming a member of a trade union is optional. Also, a worker can be a member of more than one of the given unions. There are 500 workers who are members of atleast two trade unions while Vishram has 1400 members. There are 100 workers who are members of only Viram and Vikram, whereas 200 Vishram members are also Vikram members only. 500 workers are members of only Vikram where as 20% of Viram members are members of exactly one more union. One-eighth of all the workers in the company are members of exactly two unions.Q. How many workers are members of all the three unions?Correct answer is '50'. Can you explain this answer? has been provided alongside types of Group QuestionAnswer the following question based on the information given below.There are three trade unions - Viram, Vishram and Vikram - and three thousand six hundred workers in a company. Becoming a member of a trade union is optional. Also, a worker can be a member of more than one of the given unions. There are 500 workers who are members of atleast two trade unions while Vishram has 1400 members. There are 100 workers who are members of only Viram and Vikram, whereas 200 Vishram members are also Vikram members only. 500 workers are members of only Vikram where as 20% of Viram members are members of exactly one more union. One-eighth of all the workers in the company are members of exactly two unions.Q. How many workers are members of all the three unions?Correct answer is '50'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Group QuestionAnswer the following question based on the information given below.There are three trade unions - Viram, Vishram and Vikram - and three thousand six hundred workers in a company. Becoming a member of a trade union is optional. Also, a worker can be a member of more than one of the given unions. There are 500 workers who are members of atleast two trade unions while Vishram has 1400 members. There are 100 workers who are members of only Viram and Vikram, whereas 200 Vishram members are also Vikram members only. 500 workers are members of only Vikram where as 20% of Viram members are members of exactly one more union. One-eighth of all the workers in the company are members of exactly two unions.Q. How many workers are members of all the three unions?Correct answer is '50'. Can you explain this answer? tests, examples and also practice CAT tests.
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