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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.
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?
Most Upvoted 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
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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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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?

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DIRECTIONS for the question: Read the information given below and answer the question that follows.Eight persons from different banks viz. UCO bank, Syndicate bank, Canara bank, PNB, Dena Bank, Oriental Bank of Commerce, Indian bank and Bank of Maharashtra are sitting in two parallel rows containing four people each, in such a way that there is an equal distance between adjacent persons. In row-1 A, B, C and D are seated and all of them are facing south. In row-2 P, Q, R and S are seated and all of them are facing north. Therefore, in the given seating arrangement each member seated in a row faces another member of the other row. (All the information given above does not necessarily represent the order of seating as in the final arrangement) C sits second to right of the person from Bank of Maharashtra. R is an immediate neighbor of the person who faces the person from Bank of Maharashtra. Only one person sits between R and the person for PNB. Immediate neighbour of the person from PNB faces the person from Canara Bank. The person from UCO bank faces the person from Oriental Bank of Commerce. R is not from Oriental Bank of Commerce. P is not from PNB. P does not face the person from Bank of Maharashtra. Q faces the person from Dena bank. The one who faces S sits to the immediate left of A. B does not sit at any of the extreme ends of the line. The person from Bank of Maharashtra does not face the person from Syndicate bank.Q.Four of the following five are alike in a certain way based on the given seating arrangement and thus form a group. Which is the one that does not belong to that group?

DIRECTIONS for the question: Read the information given below and answer the question that follows.Eight persons from different banks viz. UCO bank, Syndicate bank, Canara bank, PNB, Dena Bank, Oriental Bank of Commerce, Indian bank and Bank of Maharashtra are sitting in two parallel rows containing four people each, in such a way that there is an equal distance between adjacent persons. In row-1 A, B, C and D are seated and all of them are facing south. In row-2 P, Q, R and S are seated and all of them are facing north. Therefore, in the given seating arrangement each member seated in a row faces another member of the other row. (All the information given above does not necessarily represent the order of seating as in the final arrangement) C sits second to right of the person from Bank of Maharashtra. R is an immediate neighbor of the person who faces the person from Bank of Maharashtra. Only one person sits between R and the person for PNB. Immediate neighbour of the person from PNB faces the person from Canara Bank. The person from UCO bank faces the person from Oriental Bank of Commerce. R is not from Oriental Bank of Commerce. P is not from PNB. P does not face the person from Bank of Maharashtra. Q faces the person from Dena bank. The one who faces S sits to the immediate left of A. B does not sit at any of the extreme ends of the line. The person from Bank of Maharashtra does not face the person from Syndicate bank.Q. Who amongst the following sit at extreme ends of the rows?

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?
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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.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 2024 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 2024 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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