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Directions: Answer the question on the basis of the information given below.
Help Distress (HD) is an NGO involved in providing assistance to people suffering from natural disasters. Currently, it has 37 volunteers. They are involved in three projects: Tsunami Relief (TR) in Tamil Nadu, Flood Relief (FR) in Maharashtra, and Earthquake Relief (ER) in Gujarat. Each volunteer working with Help Distress has to be involved in at least one relief work project.
The highest number of volunteers are involved in the FR project. Among them, the number of volunteers involved in the FR project alone is equal to the number of volunteers having involvement in the ER project alone.
The number of volunteers involved in the ER project alone is double the number of volunteers involved in all the three projects.
A total of 17 volunteers are involved in the TR project.
The number of volunteers involved in the TR project alone is one less than the number of volunteers involved in ER project alone.
Ten volunteers involved in the TR project are also involved in at least one more project.
The highest number of volunteers are involved in the FR project. Among them, the number of volunteers involved in the FR project alone is equal to the number of volunteers having involvement in the ER project alone.
The number of volunteers involved in the ER project alone is double the number of volunteers involved in all the three projects.
A total of 17 volunteers are involved in the TR project.
The number of volunteers involved in the TR project alone is one less than the number of volunteers involved in ER project alone.
Ten volunteers involved in the TR project are also involved in at least one more project.
Which of the following additional pieces of information would enable to find the exact number of volunteers involved in the various projects?
- a)Twenty volunteers are involved in FR.
- b)Four volunteers are involved in all the three projects.
- c)Twenty-three volunteers are involved in exactly one project.
- d)No need for any additional information.
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Directions: Answer the question on the basis of the information given ...
- A total of 17 volunteers are involved in the TR project and 10 in TR are also involved in other projects. Thus, 7 volunteers are involved only in TR.
- The number of volunteers involved in the TR project alone is one less than the number of volunteers involved in the ER project alone. Eight volunteers are involved in ER alone.
- The number of volunteers involved in the ER project alone is double the number of volunteers involved in all the three projects. So, 4 volunteers are involved in all the three projects.
- Among them, the number of volunteers involved in the FR project alone is equal to the number of volunteers having involvement in the ER project alone. So, 8 volunteers are involved in FR alone.
- Let number of volunteers involved in both TR and FR but not ER = a
Number of volunteers involved in both TR and ER but not FR = b
a + b + 4 = 10
a + b = 6
Let number of volunteers involved in both FR and ER but not TR = x
Total = 17 + x + 8 + 8 = 37
x = 4
Consider the Venn diagram shown below:
a + b + 4 = 10
a + b = 6
Let number of volunteers involved in both FR and ER but not TR = x
Total = 17 + x + 8 + 8 = 37
x = 4
Consider the Venn diagram shown below:
We can obtain the information in options 2 and 3 from the data given in the passage.
The information in option 1 will give us the value of a, which in turn will give us the value of b. Thus, option 1 would enable us to find the exact number of volunteers involved in the various projects.
The information in option 1 will give us the value of a, which in turn will give us the value of b. Thus, option 1 would enable us to find the exact number of volunteers involved in the various projects.
Most Upvoted Answer
Directions: Answer the question on the basis of the information given ...
Understanding the Problem
To solve the problem, we need to analyze the distribution of volunteers across three projects: Tsunami Relief (TR), Flood Relief (FR), and Earthquake Relief (ER).
Key Points from the Information
- Total volunteers: 37
- Volunteers in TR: 17
- Volunteers in FR (highest number): Unknown
- Volunteers in ER alone = 2 * (Volunteers in all three projects)
- Volunteers in TR alone = (Volunteers in ER alone) - 1
- 10 volunteers in TR are involved in at least one more project.
Analysis of Options
To find the exact number of volunteers in each project, we explore the additional information options provided:
Option A: Twenty volunteers are involved in FR.
- If 20 volunteers are in FR, we can calculate the remaining volunteers for TR and ER accurately.
- It allows us to derive the number of volunteers in each project, resolving the equations clearly.
Option B: Four volunteers are involved in all three projects.
- While this helps, it doesn’t provide enough information to determine the exact number in each project since we still have unknowns.
Option C: Twenty-three volunteers are involved in exactly one project.
- This option gives partial information but still leaves many unknowns about overlaps in projects.
Option D: No need for any additional information.
- This is incorrect since the current data is not sufficient to determine the exact distribution of volunteers.
Conclusion
Therefore, the correct answer is option A. Knowing that 20 volunteers are specifically involved in FR enables us to set up a clear framework to calculate the number in each project, thus resolving the ambiguity in the distribution of volunteers efficiently.
To solve the problem, we need to analyze the distribution of volunteers across three projects: Tsunami Relief (TR), Flood Relief (FR), and Earthquake Relief (ER).
Key Points from the Information
- Total volunteers: 37
- Volunteers in TR: 17
- Volunteers in FR (highest number): Unknown
- Volunteers in ER alone = 2 * (Volunteers in all three projects)
- Volunteers in TR alone = (Volunteers in ER alone) - 1
- 10 volunteers in TR are involved in at least one more project.
Analysis of Options
To find the exact number of volunteers in each project, we explore the additional information options provided:
Option A: Twenty volunteers are involved in FR.
- If 20 volunteers are in FR, we can calculate the remaining volunteers for TR and ER accurately.
- It allows us to derive the number of volunteers in each project, resolving the equations clearly.
Option B: Four volunteers are involved in all three projects.
- While this helps, it doesn’t provide enough information to determine the exact number in each project since we still have unknowns.
Option C: Twenty-three volunteers are involved in exactly one project.
- This option gives partial information but still leaves many unknowns about overlaps in projects.
Option D: No need for any additional information.
- This is incorrect since the current data is not sufficient to determine the exact distribution of volunteers.
Conclusion
Therefore, the correct answer is option A. Knowing that 20 volunteers are specifically involved in FR enables us to set up a clear framework to calculate the number in each project, thus resolving the ambiguity in the distribution of volunteers efficiently.
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Question Description
Directions: Answer the question on the basis of the information given below.Help Distress (HD) is an NGO involved in providing assistance to people suffering from natural disasters. Currently, it has 37 volunteers. They are involved in three projects: Tsunami Relief (TR) in Tamil Nadu, Flood Relief (FR) in Maharashtra, and Earthquake Relief (ER) in Gujarat. Each volunteer working with Help Distress has to be involved in at least one relief work project.The highest number of volunteers are involved in the FR project. Among them, the number of volunteers involved in the FR project alone is equal to the number of volunteers having involvement in the ER project alone.The number of volunteers involved in the ER project alone is double the number of volunteers involved in all the three projects.A total of 17 volunteers are involved in the TR project.The number of volunteers involved in the TR project alone is one less than the number of volunteers involved in ER project alone.Ten volunteers involved in the TR project are also involved in at least one more project.Which of the following additional pieces of information would enable to find the exact number of volunteers involved in the various projects?a)Twenty volunteers are involved in FR.b)Four volunteers are involved in all the three projects.c)Twenty-three volunteers are involved in exactly one project.d)No need for any additional information.Correct answer is option 'A'. Can you explain this answer? for CAT 2026 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Directions: Answer the question on the basis of the information given below.Help Distress (HD) is an NGO involved in providing assistance to people suffering from natural disasters. Currently, it has 37 volunteers. They are involved in three projects: Tsunami Relief (TR) in Tamil Nadu, Flood Relief (FR) in Maharashtra, and Earthquake Relief (ER) in Gujarat. Each volunteer working with Help Distress has to be involved in at least one relief work project.The highest number of volunteers are involved in the FR project. Among them, the number of volunteers involved in the FR project alone is equal to the number of volunteers having involvement in the ER project alone.The number of volunteers involved in the ER project alone is double the number of volunteers involved in all the three projects.A total of 17 volunteers are involved in the TR project.The number of volunteers involved in the TR project alone is one less than the number of volunteers involved in ER project alone.Ten volunteers involved in the TR project are also involved in at least one more project.Which of the following additional pieces of information would enable to find the exact number of volunteers involved in the various projects?a)Twenty volunteers are involved in FR.b)Four volunteers are involved in all the three projects.c)Twenty-three volunteers are involved in exactly one project.d)No need for any additional information.Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for CAT 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions: Answer the question on the basis of the information given below.Help Distress (HD) is an NGO involved in providing assistance to people suffering from natural disasters. Currently, it has 37 volunteers. They are involved in three projects: Tsunami Relief (TR) in Tamil Nadu, Flood Relief (FR) in Maharashtra, and Earthquake Relief (ER) in Gujarat. Each volunteer working with Help Distress has to be involved in at least one relief work project.The highest number of volunteers are involved in the FR project. Among them, the number of volunteers involved in the FR project alone is equal to the number of volunteers having involvement in the ER project alone.The number of volunteers involved in the ER project alone is double the number of volunteers involved in all the three projects.A total of 17 volunteers are involved in the TR project.The number of volunteers involved in the TR project alone is one less than the number of volunteers involved in ER project alone.Ten volunteers involved in the TR project are also involved in at least one more project.Which of the following additional pieces of information would enable to find the exact number of volunteers involved in the various projects?a)Twenty volunteers are involved in FR.b)Four volunteers are involved in all the three projects.c)Twenty-three volunteers are involved in exactly one project.d)No need for any additional information.Correct answer is option 'A'. Can you explain this answer?.
Directions: Answer the question on the basis of the information given below.Help Distress (HD) is an NGO involved in providing assistance to people suffering from natural disasters. Currently, it has 37 volunteers. They are involved in three projects: Tsunami Relief (TR) in Tamil Nadu, Flood Relief (FR) in Maharashtra, and Earthquake Relief (ER) in Gujarat. Each volunteer working with Help Distress has to be involved in at least one relief work project.The highest number of volunteers are involved in the FR project. Among them, the number of volunteers involved in the FR project alone is equal to the number of volunteers having involvement in the ER project alone.The number of volunteers involved in the ER project alone is double the number of volunteers involved in all the three projects.A total of 17 volunteers are involved in the TR project.The number of volunteers involved in the TR project alone is one less than the number of volunteers involved in ER project alone.Ten volunteers involved in the TR project are also involved in at least one more project.Which of the following additional pieces of information would enable to find the exact number of volunteers involved in the various projects?a)Twenty volunteers are involved in FR.b)Four volunteers are involved in all the three projects.c)Twenty-three volunteers are involved in exactly one project.d)No need for any additional information.Correct answer is option 'A'. Can you explain this answer? for CAT 2026 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Directions: Answer the question on the basis of the information given below.Help Distress (HD) is an NGO involved in providing assistance to people suffering from natural disasters. Currently, it has 37 volunteers. They are involved in three projects: Tsunami Relief (TR) in Tamil Nadu, Flood Relief (FR) in Maharashtra, and Earthquake Relief (ER) in Gujarat. Each volunteer working with Help Distress has to be involved in at least one relief work project.The highest number of volunteers are involved in the FR project. Among them, the number of volunteers involved in the FR project alone is equal to the number of volunteers having involvement in the ER project alone.The number of volunteers involved in the ER project alone is double the number of volunteers involved in all the three projects.A total of 17 volunteers are involved in the TR project.The number of volunteers involved in the TR project alone is one less than the number of volunteers involved in ER project alone.Ten volunteers involved in the TR project are also involved in at least one more project.Which of the following additional pieces of information would enable to find the exact number of volunteers involved in the various projects?a)Twenty volunteers are involved in FR.b)Four volunteers are involved in all the three projects.c)Twenty-three volunteers are involved in exactly one project.d)No need for any additional information.Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for CAT 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions: Answer the question on the basis of the information given below.Help Distress (HD) is an NGO involved in providing assistance to people suffering from natural disasters. Currently, it has 37 volunteers. They are involved in three projects: Tsunami Relief (TR) in Tamil Nadu, Flood Relief (FR) in Maharashtra, and Earthquake Relief (ER) in Gujarat. Each volunteer working with Help Distress has to be involved in at least one relief work project.The highest number of volunteers are involved in the FR project. Among them, the number of volunteers involved in the FR project alone is equal to the number of volunteers having involvement in the ER project alone.The number of volunteers involved in the ER project alone is double the number of volunteers involved in all the three projects.A total of 17 volunteers are involved in the TR project.The number of volunteers involved in the TR project alone is one less than the number of volunteers involved in ER project alone.Ten volunteers involved in the TR project are also involved in at least one more project.Which of the following additional pieces of information would enable to find the exact number of volunteers involved in the various projects?a)Twenty volunteers are involved in FR.b)Four volunteers are involved in all the three projects.c)Twenty-three volunteers are involved in exactly one project.d)No need for any additional information.Correct answer is option 'A'. Can you explain this answer?.
Solutions for Directions: Answer the question on the basis of the information given below.Help Distress (HD) is an NGO involved in providing assistance to people suffering from natural disasters. Currently, it has 37 volunteers. They are involved in three projects: Tsunami Relief (TR) in Tamil Nadu, Flood Relief (FR) in Maharashtra, and Earthquake Relief (ER) in Gujarat. Each volunteer working with Help Distress has to be involved in at least one relief work project.The highest number of volunteers are involved in the FR project. Among them, the number of volunteers involved in the FR project alone is equal to the number of volunteers having involvement in the ER project alone.The number of volunteers involved in the ER project alone is double the number of volunteers involved in all the three projects.A total of 17 volunteers are involved in the TR project.The number of volunteers involved in the TR project alone is one less than the number of volunteers involved in ER project alone.Ten volunteers involved in the TR project are also involved in at least one more project.Which of the following additional pieces of information would enable to find the exact number of volunteers involved in the various projects?a)Twenty volunteers are involved in FR.b)Four volunteers are involved in all the three projects.c)Twenty-three volunteers are involved in exactly one project.d)No need for any additional information.Correct answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT. Download more important topics, notes, lectures and mock test series for CAT Exam by signing up for free.
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Among them, the number of volunteers involved in the FR project alone is equal to the number of volunteers having involvement in the ER project alone.The number of volunteers involved in the ER project alone is double the number of volunteers involved in all the three projects.A total of 17 volunteers are involved in the TR project.The number of volunteers involved in the TR project alone is one less than the number of volunteers involved in ER project alone.Ten volunteers involved in the TR project are also involved in at least one more project.Which of the following additional pieces of information would enable to find the exact number of volunteers involved in the various projects?a)Twenty volunteers are involved in FR.b)Four volunteers are involved in all the three projects.c)Twenty-three volunteers are involved in exactly one project.d)No need for any additional information.Correct answer is option 'A'. 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Among them, the number of volunteers involved in the FR project alone is equal to the number of volunteers having involvement in the ER project alone.The number of volunteers involved in the ER project alone is double the number of volunteers involved in all the three projects.A total of 17 volunteers are involved in the TR project.The number of volunteers involved in the TR project alone is one less than the number of volunteers involved in ER project alone.Ten volunteers involved in the TR project are also involved in at least one more project.Which of the following additional pieces of information would enable to find the exact number of volunteers involved in the various projects?a)Twenty volunteers are involved in FR.b)Four volunteers are involved in all the three projects.c)Twenty-three volunteers are involved in exactly one project.d)No need for any additional information.Correct answer is option 'A'. 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Among them, the number of volunteers involved in the FR project alone is equal to the number of volunteers having involvement in the ER project alone.The number of volunteers involved in the ER project alone is double the number of volunteers involved in all the three projects.A total of 17 volunteers are involved in the TR project.The number of volunteers involved in the TR project alone is one less than the number of volunteers involved in ER project alone.Ten volunteers involved in the TR project are also involved in at least one more project.Which of the following additional pieces of information would enable to find the exact number of volunteers involved in the various projects?a)Twenty volunteers are involved in FR.b)Four volunteers are involved in all the three projects.c)Twenty-three volunteers are involved in exactly one project.d)No need for any additional information.Correct answer is option 'A'. 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Among them, the number of volunteers involved in the FR project alone is equal to the number of volunteers having involvement in the ER project alone.The number of volunteers involved in the ER project alone is double the number of volunteers involved in all the three projects.A total of 17 volunteers are involved in the TR project.The number of volunteers involved in the TR project alone is one less than the number of volunteers involved in ER project alone.Ten volunteers involved in the TR project are also involved in at least one more project.Which of the following additional pieces of information would enable to find the exact number of volunteers involved in the various projects?a)Twenty volunteers are involved in FR.b)Four volunteers are involved in all the three projects.c)Twenty-three volunteers are involved in exactly one project.d)No need for any additional information.Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Directions: Answer the question on the basis of the information given below.Help Distress (HD) is an NGO involved in providing assistance to people suffering from natural disasters. Currently, it has 37 volunteers. They are involved in three projects: Tsunami Relief (TR) in Tamil Nadu, Flood Relief (FR) in Maharashtra, and Earthquake Relief (ER) in Gujarat. Each volunteer working with Help Distress has to be involved in at least one relief work project.The highest number of volunteers are involved in the FR project. Among them, the number of volunteers involved in the FR project alone is equal to the number of volunteers having involvement in the ER project alone.The number of volunteers involved in the ER project alone is double the number of volunteers involved in all the three projects.A total of 17 volunteers are involved in the TR project.The number of volunteers involved in the TR project alone is one less than the number of volunteers involved in ER project alone.Ten volunteers involved in the TR project are also involved in at least one more project.Which of the following additional pieces of information would enable to find the exact number of volunteers involved in the various projects?a)Twenty volunteers are involved in FR.b)Four volunteers are involved in all the three projects.c)Twenty-three volunteers are involved in exactly one project.d)No need for any additional information.Correct answer is option 'A'. Can you explain this answer? tests, examples and also practice CAT tests.
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