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The median of 9 different positive natural numbers is 15. Six of these nos. are 2, 13, 11, 6, 18, 17. (Numbers in series are not repeated).
Statement I : The average o f smallest three and largest three numbers is 14.
Statement II : The difference between the greatest and the second greatest numbers is 7.
Statement II : The difference between the greatest and the second greatest numbers is 7.
Which of the following statements would be sufficient to find the largest possible integer of these numbers?
- a)Statement I only
- b)Statement II only
- c)Both Statement I and Statement II are required.
- d)Neither Statement I not Statement II is sufficient.
- e)Either Statement I or Statement II is sufficient
Correct answer is option 'C'. Can you explain this answer?
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The median of 9 different positive natural numbers is 15. Six of these...
Solution: The given numbers when arranged in ascending order would be as follows:
2, 6, 11, 13, 15, 17, 18.
18 cannot be the largest number. So, let x and y be the two remaining numbers such that x < y.
Case I: 18 < x, (2, 6, 11, 13, 15, 17, 18, x, y are the numbers in ascending order.) Case II: x < 18, (2, 6, 11, 13, 15, x, 17, 18, y are the numbers in ascending order.) Statement I:
2, 6, 11, 13, 15, 17, 18.
18 cannot be the largest number. So, let x and y be the two remaining numbers such that x < y.
Case I: 18 < x, (2, 6, 11, 13, 15, 17, 18, x, y are the numbers in ascending order.) Case II: x < 18, (2, 6, 11, 13, 15, x, 17, 18, y are the numbers in ascending order.) Statement I:
Considering case I, we do not get unique value for y, while y = 30 if case I is considered.
Thus, the question cannot be answered uniquely.
Similarly, with the help of statement II, the question cannot be answered.
Combining both the statements: Consider case I.
We get two inconsistent equations with two statements. So, the case is invalid.
Considering case II; we get y = 20.
Thus, the question cannot be answered uniquely.
Similarly, with the help of statement II, the question cannot be answered.
Combining both the statements: Consider case I.
We get two inconsistent equations with two statements. So, the case is invalid.
Considering case II; we get y = 20.
So, both the statements are required to answer the question. Hence, option 3.
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The median of 9 different positive natural numbers is 15. Six of these nos. are 2, 13, 11, 6, 18, 17. (Numbers in series are not repeated).Statement I : The average o f smallest three and largest three numbers is 14.Statement II : The difference between the greatest and the second greatest numbers is 7.Which of the following statements would be sufficient to find the largest possible integer of these numbers?a)Statement I onlyb)Statement II onlyc)Both Statement I and Statement II are required.d)Neither Statement I not Statement II is sufficient.e)Either Statement I or Statement II is sufficientCorrect answer is option 'C'. Can you explain this answer?
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The median of 9 different positive natural numbers is 15. Six of these nos. are 2, 13, 11, 6, 18, 17. (Numbers in series are not repeated).Statement I : The average o f smallest three and largest three numbers is 14.Statement II : The difference between the greatest and the second greatest numbers is 7.Which of the following statements would be sufficient to find the largest possible integer of these numbers?a)Statement I onlyb)Statement II onlyc)Both Statement I and Statement II are required.d)Neither Statement I not Statement II is sufficient.e)Either Statement I or Statement II is sufficientCorrect answer is option 'C'. 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 The median of 9 different positive natural numbers is 15. Six of these nos. are 2, 13, 11, 6, 18, 17. (Numbers in series are not repeated).Statement I : The average o f smallest three and largest three numbers is 14.Statement II : The difference between the greatest and the second greatest numbers is 7.Which of the following statements would be sufficient to find the largest possible integer of these numbers?a)Statement I onlyb)Statement II onlyc)Both Statement I and Statement II are required.d)Neither Statement I not Statement II is sufficient.e)Either Statement I or Statement II is sufficientCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The median of 9 different positive natural numbers is 15. Six of these nos. are 2, 13, 11, 6, 18, 17. (Numbers in series are not repeated).Statement I : The average o f smallest three and largest three numbers is 14.Statement II : The difference between the greatest and the second greatest numbers is 7.Which of the following statements would be sufficient to find the largest possible integer of these numbers?a)Statement I onlyb)Statement II onlyc)Both Statement I and Statement II are required.d)Neither Statement I not Statement II is sufficient.e)Either Statement I or Statement II is sufficientCorrect answer is option 'C'. Can you explain this answer?.
The median of 9 different positive natural numbers is 15. Six of these nos. are 2, 13, 11, 6, 18, 17. (Numbers in series are not repeated).Statement I : The average o f smallest three and largest three numbers is 14.Statement II : The difference between the greatest and the second greatest numbers is 7.Which of the following statements would be sufficient to find the largest possible integer of these numbers?a)Statement I onlyb)Statement II onlyc)Both Statement I and Statement II are required.d)Neither Statement I not Statement II is sufficient.e)Either Statement I or Statement II is sufficientCorrect answer is option 'C'. 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 The median of 9 different positive natural numbers is 15. Six of these nos. are 2, 13, 11, 6, 18, 17. (Numbers in series are not repeated).Statement I : The average o f smallest three and largest three numbers is 14.Statement II : The difference between the greatest and the second greatest numbers is 7.Which of the following statements would be sufficient to find the largest possible integer of these numbers?a)Statement I onlyb)Statement II onlyc)Both Statement I and Statement II are required.d)Neither Statement I not Statement II is sufficient.e)Either Statement I or Statement II is sufficientCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The median of 9 different positive natural numbers is 15. Six of these nos. are 2, 13, 11, 6, 18, 17. (Numbers in series are not repeated).Statement I : The average o f smallest three and largest three numbers is 14.Statement II : The difference between the greatest and the second greatest numbers is 7.Which of the following statements would be sufficient to find the largest possible integer of these numbers?a)Statement I onlyb)Statement II onlyc)Both Statement I and Statement II are required.d)Neither Statement I not Statement II is sufficient.e)Either Statement I or Statement II is sufficientCorrect answer is option 'C'. Can you explain this answer?.
Solutions for The median of 9 different positive natural numbers is 15. Six of these nos. are 2, 13, 11, 6, 18, 17. (Numbers in series are not repeated).Statement I : The average o f smallest three and largest three numbers is 14.Statement II : The difference between the greatest and the second greatest numbers is 7.Which of the following statements would be sufficient to find the largest possible integer of these numbers?a)Statement I onlyb)Statement II onlyc)Both Statement I and Statement II are required.d)Neither Statement I not Statement II is sufficient.e)Either Statement I or Statement II is sufficientCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT.
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The median of 9 different positive natural numbers is 15. Six of these nos. are 2, 13, 11, 6, 18, 17. (Numbers in series are not repeated).Statement I : The average o f smallest three and largest three numbers is 14.Statement II : The difference between the greatest and the second greatest numbers is 7.Which of the following statements would be sufficient to find the largest possible integer of these numbers?a)Statement I onlyb)Statement II onlyc)Both Statement I and Statement II are required.d)Neither Statement I not Statement II is sufficient.e)Either Statement I or Statement II is sufficientCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for The median of 9 different positive natural numbers is 15. Six of these nos. are 2, 13, 11, 6, 18, 17. (Numbers in series are not repeated).Statement I : The average o f smallest three and largest three numbers is 14.Statement II : The difference between the greatest and the second greatest numbers is 7.Which of the following statements would be sufficient to find the largest possible integer of these numbers?a)Statement I onlyb)Statement II onlyc)Both Statement I and Statement II are required.d)Neither Statement I not Statement II is sufficient.e)Either Statement I or Statement II is sufficientCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of The median of 9 different positive natural numbers is 15. Six of these nos. are 2, 13, 11, 6, 18, 17. (Numbers in series are not repeated).Statement I : The average o f smallest three and largest three numbers is 14.Statement II : The difference between the greatest and the second greatest numbers is 7.Which of the following statements would be sufficient to find the largest possible integer of these numbers?a)Statement I onlyb)Statement II onlyc)Both Statement I and Statement II are required.d)Neither Statement I not Statement II is sufficient.e)Either Statement I or Statement II is sufficientCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice The median of 9 different positive natural numbers is 15. Six of these nos. are 2, 13, 11, 6, 18, 17. (Numbers in series are not repeated).Statement I : The average o f smallest three and largest three numbers is 14.Statement II : The difference between the greatest and the second greatest numbers is 7.Which of the following statements would be sufficient to find the largest possible integer of these numbers?a)Statement I onlyb)Statement II onlyc)Both Statement I and Statement II are required.d)Neither Statement I not Statement II is sufficient.e)Either Statement I or Statement II is sufficientCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice CAT tests.
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