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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.
Q. Based on the given information, the least number of volunteers involved in both the FR and TR projects but not in the ER project is __________.
Correct answer is '4'. 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:
Number of volunteers involved in FR > Number of volunteers involved in TR
Number of volunteers involved in FR > Number of volunteers involved in ER
∴ 16 + a > 17 and 16 + a > 16 + b or a > b
∴ a and b can be (6, 0), (5, 1), or (4, 2).
Least number of volunteers involved in both the FR and TR projects but not in the ER project = Least value of a = 4
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:
Number of volunteers involved in FR > Number of volunteers involved in TR
Number of volunteers involved in FR > Number of volunteers involved in ER
∴ 16 + a > 17 and 16 + a > 16 + b or a > b
∴ a and b can be (6, 0), (5, 1), or (4, 2).
Least number of volunteers involved in both the FR and TR projects but not in the ER project = Least value of a = 4
Most Upvoted Answer
Directions: Answer the question on the basis of the information given ...
Analysis:
- Total number of volunteers = 37
- Volunteers involved in Tsunami Relief (TR) project = 17
- Volunteers involved in Flood Relief (FR) project > Volunteers involved in Earthquake Relief (ER) project
- Volunteers involved in ER project alone = 2 * (Total number of volunteers involved in all three projects)
- Volunteers involved in TR project alone = Volunteers involved in ER project alone - 1
- Volunteers involved in TR project and at least one more project = 10
Calculations:
- Let the number of volunteers involved in ER project alone be x.
- Volunteers involved in FR project alone = x
- Total number of volunteers involved in FR project = x + x = 2x
- Total number of volunteers involved in all three projects = x (ER) + x (FR) + 17 (TR)
- According to the given condition, x = 2 * (x + x + 17)
- Solving the above equation, x = 17
Least number of volunteers involved in both FR and TR projects but not in ER project:
- Volunteers involved in FR and TR projects but not in ER project = Total volunteers involved in FR and TR projects - Volunteers involved in all three projects
- Volunteers involved in FR and TR projects but not in ER project = x (FR) + 17 (TR) - x (ER)
- Substituting the values, we get 17 + 17 - 17 = 4
Therefore, the least number of volunteers involved in both FR and TR projects but not in the ER project is 4.
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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.Q.Based on the given information, the least number of volunteers involved in both the FR and TR projects but not in the ER project is __________.Correct answer is '4'. 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.Q.Based on the given information, the least number of volunteers involved in both the FR and TR projects but not in the ER project is __________.Correct answer is '4'. 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.Q.Based on the given information, the least number of volunteers involved in both the FR and TR projects but not in the ER project is __________.Correct answer is '4'. 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.Q.Based on the given information, the least number of volunteers involved in both the FR and TR projects but not in the ER project is __________.Correct answer is '4'. 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.Q.Based on the given information, the least number of volunteers involved in both the FR and TR projects but not in the ER project is __________.Correct answer is '4'. 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.Q.Based on the given information, the least number of volunteers involved in both the FR and TR projects but not in the ER project is __________.Correct answer is '4'. 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.Q.Based on the given information, the least number of volunteers involved in both the FR and TR projects but not in the ER project is __________.Correct answer is '4'. 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.Q.Based on the given information, the least number of volunteers involved in both the FR and TR projects but not in the ER project is __________.Correct answer is '4'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of 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.Q.Based on the given information, the least number of volunteers involved in both the FR and TR projects but not in the ER project is __________.Correct answer is '4'. Can you explain this answer?, a detailed solution 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.Q.Based on the given information, the least number of volunteers involved in both the FR and TR projects but not in the ER project is __________.Correct answer is '4'. Can you explain this answer? has been provided alongside types of 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.Q.Based on the given information, the least number of volunteers involved in both the FR and TR projects but not in the ER project is __________.Correct answer is '4'. 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.Q.Based on the given information, the least number of volunteers involved in both the FR and TR projects but not in the ER project is __________.Correct answer is '4'. Can you explain this answer? tests, examples and also practice CAT tests.
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