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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.
After some time, the volunteers who were involved in all the three projects were asked to withdraw from one project. Some new volunteers joined the NGO. Each one of them was allotted only one project in a manner such that the number of volunteers working on one project alone for each of the three projects became identical.
At that point, it was also found that the number of volunteers involved in the FR and ER projects was the same as the number of volunteers involved in the TR and ER projects.
Q. Which of the projects now has the highest number of volunteers?
  • a)
    Cannot be determined
  • b)
    FR
  • c)
    TR
  • d)
    ER
Correct answer is option 'D'. 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:
Let m volunteers be added to the TR project and n be added to each of the FR and ER projects.
Then, 7 + m = 8 + n
m = n + 1
Also, b + 2 = 5
∴ b = 3 and a = 3
Number of volunteers working on TR = 7 + n + 1 + 4 + 5 = 17 + n
Number of volunteers working on FR = 17 + n
Number of volunteers working on ER = 18 + n
Thus, ER has the highest number of volunteers.
Hence, option 4 is the correct choice.
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Most Upvoted Answer
Directions: Answer the question on the basis of the information given ...
Analysis:
- The highest number of volunteers are involved in the FR project.
- 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.
- After some time, the volunteers who were involved in all the three projects were asked to withdraw from one project and new volunteers joined the NGO.

Solution:
- Initially, the ER project had the highest number of volunteers as the number of volunteers involved in ER project alone is double the number of volunteers involved in all the three projects.
- After the reshuffling of volunteers, each project had an equal number of volunteers working on it.
- The number of volunteers involved in the FR and ER projects was the same as the number of volunteers involved in the TR and ER projects.
- Since the ER project had the highest number of volunteers initially and the number of volunteers involved in ER project alone is now distributed equally among the three projects, the ER project will still have the highest number of volunteers.
Therefore, after the reshuffling of volunteers, the ER project now has the highest number of volunteers.
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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.After some time, the volunteers who were involved in all the three projects were asked to withdraw from one project. Some new volunteers joined the NGO. Each one of them was allotted only one project in a manner such that the number of volunteers working on one project alone for each of the three projects became identical.At that point, it was also found that the number of volunteers involved in the FR and ER projects was the same as the number of volunteers involved in the TR and ER projects.Q. Which of the projects now has the highest number of volunteers?a)Cannot be determinedb)FRc)TRd)ERCorrect answer is option 'D'. 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.After some time, the volunteers who were involved in all the three projects were asked to withdraw from one project. Some new volunteers joined the NGO. Each one of them was allotted only one project in a manner such that the number of volunteers working on one project alone for each of the three projects became identical.At that point, it was also found that the number of volunteers involved in the FR and ER projects was the same as the number of volunteers involved in the TR and ER projects.Q. Which of the projects now has the highest number of volunteers?a)Cannot be determinedb)FRc)TRd)ERCorrect answer is option 'D'. 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.After some time, the volunteers who were involved in all the three projects were asked to withdraw from one project. Some new volunteers joined the NGO. Each one of them was allotted only one project in a manner such that the number of volunteers working on one project alone for each of the three projects became identical.At that point, it was also found that the number of volunteers involved in the FR and ER projects was the same as the number of volunteers involved in the TR and ER projects.Q. Which of the projects now has the highest number of volunteers?a)Cannot be determinedb)FRc)TRd)ERCorrect answer is option 'D'. 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.After some time, the volunteers who were involved in all the three projects were asked to withdraw from one project. Some new volunteers joined the NGO. Each one of them was allotted only one project in a manner such that the number of volunteers working on one project alone for each of the three projects became identical.At that point, it was also found that the number of volunteers involved in the FR and ER projects was the same as the number of volunteers involved in the TR and ER projects.Q. Which of the projects now has the highest number of volunteers?a)Cannot be determinedb)FRc)TRd)ERCorrect answer is option 'D'. 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.
Here you can find the meaning 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.After some time, the volunteers who were involved in all the three projects were asked to withdraw from one project. Some new volunteers joined the NGO. Each one of them was allotted only one project in a manner such that the number of volunteers working on one project alone for each of the three projects became identical.At that point, it was also found that the number of volunteers involved in the FR and ER projects was the same as the number of volunteers involved in the TR and ER projects.Q. Which of the projects now has the highest number of volunteers?a)Cannot be determinedb)FRc)TRd)ERCorrect answer is option 'D'. 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.After some time, the volunteers who were involved in all the three projects were asked to withdraw from one project. Some new volunteers joined the NGO. Each one of them was allotted only one project in a manner such that the number of volunteers working on one project alone for each of the three projects became identical.At that point, it was also found that the number of volunteers involved in the FR and ER projects was the same as the number of volunteers involved in the TR and ER projects.Q. Which of the projects now has the highest number of volunteers?a)Cannot be determinedb)FRc)TRd)ERCorrect answer is option 'D'. 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.After some time, the volunteers who were involved in all the three projects were asked to withdraw from one project. Some new volunteers joined the NGO. Each one of them was allotted only one project in a manner such that the number of volunteers working on one project alone for each of the three projects became identical.At that point, it was also found that the number of volunteers involved in the FR and ER projects was the same as the number of volunteers involved in the TR and ER projects.Q. Which of the projects now has the highest number of volunteers?a)Cannot be determinedb)FRc)TRd)ERCorrect answer is option 'D'. 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.After some time, the volunteers who were involved in all the three projects were asked to withdraw from one project. Some new volunteers joined the NGO. Each one of them was allotted only one project in a manner such that the number of volunteers working on one project alone for each of the three projects became identical.At that point, it was also found that the number of volunteers involved in the FR and ER projects was the same as the number of volunteers involved in the TR and ER projects.Q. Which of the projects now has the highest number of volunteers?a)Cannot be determinedb)FRc)TRd)ERCorrect answer is option 'D'. 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.After some time, the volunteers who were involved in all the three projects were asked to withdraw from one project. Some new volunteers joined the NGO. Each one of them was allotted only one project in a manner such that the number of volunteers working on one project alone for each of the three projects became identical.At that point, it was also found that the number of volunteers involved in the FR and ER projects was the same as the number of volunteers involved in the TR and ER projects.Q. Which of the projects now has the highest number of volunteers?a)Cannot be determinedb)FRc)TRd)ERCorrect answer is option 'D'. Can you explain this answer? tests, examples and also practice CAT tests.
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