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Read the following text and answer the following questions on the basis of the same:
The management committee of a residential colony decided to award some of its members (say x) for honesty, some (say y) for helping others and some others (say z) for supervising the workers to kept the colony neat and clean. The sum of all the awardees is 12. Three times the sum of awardees for cooperation and supervision added to two times the number of awardees for honesty is 33. The sum of the number of awardees for honesty and supervision is twice the number of awardees for helping.
x + y + z = _______.
- a)3
- b)5
- c)7
- d)12
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Read the following text and answer the following questions on the bas...
⇒ x = 3, y = 4, z = 5
x + y + z =12 [from (i)]
Most Upvoted Answer
Read the following text and answer the following questions on the bas...
Understanding the Problem
The problem involves a residential colony's management committee awarding members based on different criteria: honesty, helping others, and supervising workers. We need to establish the values for x, y, and z, representing the number of awardees in each category.
Given Conditions
- The total number of awardees is 12:
x + y + z = 12
- Three times the sum of awardees for cooperation (y) and supervision (z), added to two times the number of awardees for honesty (x), equals 33:
3(y + z) + 2x = 33
- The sum of the number of awardees for honesty (x) and supervision (z) is twice the number of awardees for helping (y):
x + z = 2y
Solving the Equations
1. From the first equation:
- x + y + z = 12
2. Rearranging the second equation:
- 3y + 3z + 2x = 33
- Substitute z from the first equation:
- 3y + 3(12 - x - y) + 2x = 33
- Simplifying gives 33 - 3x = 33 → 3x = 0 → x = 0 (no awardees for honesty)
3. Substituting x = 0 in the first equation:
- 0 + y + z = 12 → y + z = 12
4. From the third equation:
- 0 + z = 2y → z = 2y
5. Substituting z in y + z = 12:
- y + 2y = 12 → 3y = 12 → y = 4
- Therefore, z = 8.
Conclusion
Thus, the values are:
- x = 0
- y = 4
- z = 8
The total number of awardees, x + y + z, equals 12. Hence, the correct answer is option D: 12.
The problem involves a residential colony's management committee awarding members based on different criteria: honesty, helping others, and supervising workers. We need to establish the values for x, y, and z, representing the number of awardees in each category.
Given Conditions
- The total number of awardees is 12:
x + y + z = 12
- Three times the sum of awardees for cooperation (y) and supervision (z), added to two times the number of awardees for honesty (x), equals 33:
3(y + z) + 2x = 33
- The sum of the number of awardees for honesty (x) and supervision (z) is twice the number of awardees for helping (y):
x + z = 2y
Solving the Equations
1. From the first equation:
- x + y + z = 12
2. Rearranging the second equation:
- 3y + 3z + 2x = 33
- Substitute z from the first equation:
- 3y + 3(12 - x - y) + 2x = 33
- Simplifying gives 33 - 3x = 33 → 3x = 0 → x = 0 (no awardees for honesty)
3. Substituting x = 0 in the first equation:
- 0 + y + z = 12 → y + z = 12
4. From the third equation:
- 0 + z = 2y → z = 2y
5. Substituting z in y + z = 12:
- y + 2y = 12 → 3y = 12 → y = 4
- Therefore, z = 8.
Conclusion
Thus, the values are:
- x = 0
- y = 4
- z = 8
The total number of awardees, x + y + z, equals 12. Hence, the correct answer is option D: 12.
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Read the following text and answer the following questions on the basis of the same:The management committee of a residential colony decided to award some of its members (say x) for honesty, some (say y) for helping others and some others (say z) for supervising the workers to kept the colony neat and clean. The sum of all the awardees is 12. Three times the sum of awardees for cooperation and supervision added to two times the number of awardees for honesty is 33. The sum of the number of awardees for honesty and supervision is twice the number of awardees for helping.x + y + z = _______.a)3b)5c)7d)12Correct answer is option 'D'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Read the following text and answer the following questions on the basis of the same:The management committee of a residential colony decided to award some of its members (say x) for honesty, some (say y) for helping others and some others (say z) for supervising the workers to kept the colony neat and clean. The sum of all the awardees is 12. Three times the sum of awardees for cooperation and supervision added to two times the number of awardees for honesty is 33. The sum of the number of awardees for honesty and supervision is twice the number of awardees for helping.x + y + z = _______.a)3b)5c)7d)12Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Read the following text and answer the following questions on the basis of the same:The management committee of a residential colony decided to award some of its members (say x) for honesty, some (say y) for helping others and some others (say z) for supervising the workers to kept the colony neat and clean. The sum of all the awardees is 12. Three times the sum of awardees for cooperation and supervision added to two times the number of awardees for honesty is 33. The sum of the number of awardees for honesty and supervision is twice the number of awardees for helping.x + y + z = _______.a)3b)5c)7d)12Correct answer is option 'D'. Can you explain this answer?.
Read the following text and answer the following questions on the basis of the same:The management committee of a residential colony decided to award some of its members (say x) for honesty, some (say y) for helping others and some others (say z) for supervising the workers to kept the colony neat and clean. The sum of all the awardees is 12. Three times the sum of awardees for cooperation and supervision added to two times the number of awardees for honesty is 33. The sum of the number of awardees for honesty and supervision is twice the number of awardees for helping.x + y + z = _______.a)3b)5c)7d)12Correct answer is option 'D'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Read the following text and answer the following questions on the basis of the same:The management committee of a residential colony decided to award some of its members (say x) for honesty, some (say y) for helping others and some others (say z) for supervising the workers to kept the colony neat and clean. The sum of all the awardees is 12. Three times the sum of awardees for cooperation and supervision added to two times the number of awardees for honesty is 33. The sum of the number of awardees for honesty and supervision is twice the number of awardees for helping.x + y + z = _______.a)3b)5c)7d)12Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Read the following text and answer the following questions on the basis of the same:The management committee of a residential colony decided to award some of its members (say x) for honesty, some (say y) for helping others and some others (say z) for supervising the workers to kept the colony neat and clean. The sum of all the awardees is 12. Three times the sum of awardees for cooperation and supervision added to two times the number of awardees for honesty is 33. The sum of the number of awardees for honesty and supervision is twice the number of awardees for helping.x + y + z = _______.a)3b)5c)7d)12Correct answer is option 'D'. Can you explain this answer?.
Solutions for Read the following text and answer the following questions on the basis of the same:The management committee of a residential colony decided to award some of its members (say x) for honesty, some (say y) for helping others and some others (say z) for supervising the workers to kept the colony neat and clean. The sum of all the awardees is 12. Three times the sum of awardees for cooperation and supervision added to two times the number of awardees for honesty is 33. The sum of the number of awardees for honesty and supervision is twice the number of awardees for helping.x + y + z = _______.a)3b)5c)7d)12Correct answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE.
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Read the following text and answer the following questions on the basis of the same:The management committee of a residential colony decided to award some of its members (say x) for honesty, some (say y) for helping others and some others (say z) for supervising the workers to kept the colony neat and clean. The sum of all the awardees is 12. Three times the sum of awardees for cooperation and supervision added to two times the number of awardees for honesty is 33. The sum of the number of awardees for honesty and supervision is twice the number of awardees for helping.x + y + z = _______.a)3b)5c)7d)12Correct answer is option 'D'. Can you explain this answer?, a detailed solution for Read the following text and answer the following questions on the basis of the same:The management committee of a residential colony decided to award some of its members (say x) for honesty, some (say y) for helping others and some others (say z) for supervising the workers to kept the colony neat and clean. The sum of all the awardees is 12. Three times the sum of awardees for cooperation and supervision added to two times the number of awardees for honesty is 33. The sum of the number of awardees for honesty and supervision is twice the number of awardees for helping.x + y + z = _______.a)3b)5c)7d)12Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of Read the following text and answer the following questions on the basis of the same:The management committee of a residential colony decided to award some of its members (say x) for honesty, some (say y) for helping others and some others (say z) for supervising the workers to kept the colony neat and clean. The sum of all the awardees is 12. Three times the sum of awardees for cooperation and supervision added to two times the number of awardees for honesty is 33. The sum of the number of awardees for honesty and supervision is twice the number of awardees for helping.x + y + z = _______.a)3b)5c)7d)12Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Read the following text and answer the following questions on the basis of the same:The management committee of a residential colony decided to award some of its members (say x) for honesty, some (say y) for helping others and some others (say z) for supervising the workers to kept the colony neat and clean. The sum of all the awardees is 12. Three times the sum of awardees for cooperation and supervision added to two times the number of awardees for honesty is 33. The sum of the number of awardees for honesty and supervision is twice the number of awardees for helping.x + y + z = _______.a)3b)5c)7d)12Correct answer is option 'D'. Can you explain this answer? tests, examples and also practice JEE tests.
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