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If sets A and B have n elements each, are the ranges of the two sets equal?
Statement 1: Both sets are symmetric about their respective means.
Statement 2: The median of both the sets is 50.
Statement 2: The median of both the sets is 50.
- a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked;
- b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked;
- c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked,but NEITHER statement ALONE is sufficient;
- d)EACH statement ALONE is sufficient to answer the question asked;
- e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed.
Correct answer is option 'E'. Can you explain this answer?
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Most Upvoted Answer
If sets A and B have n elements each, are the ranges of the two sets e...
Statement 1: Both sets are symmetric about their respective means.
If sets A and B are symmetric about their respective means, it means that the mean of set A is the same as the mean of set B. However, this information alone does not provide any information about the ranges of the sets.
For example, consider two sets:
Set A: {1, 2, 3, 4, 5}
Set B: {6, 7, 8, 9, 10}
Both sets are symmetric about their respective means (mean = 3 for set A and mean = 8 for set B), but the ranges of the sets are different. The range of set A is 4 (5 - 1) and the range of set B is 4 (10 - 6).
Therefore, statement 1 alone is not sufficient to determine whether the ranges of sets A and B are equal.
Statement 2: The median of both sets is 50.
If the median of both sets is 50, it means that the middle value of both sets is 50. However, this information alone does not provide any information about the ranges of the sets.
For example, consider two sets:
Set A: {10, 20, 30, 40, 50}
Set B: {50, 60, 70, 80, 90}
Both sets have a median of 50, but the ranges of the sets are different. The range of set A is 40 (50 - 10) and the range of set B is 40 (90 - 50).
Therefore, statement 2 alone is not sufficient to determine whether the ranges of sets A and B are equal.
Statements 1 and 2 together:
Even when we consider both statements together, we still cannot determine whether the ranges of sets A and B are equal. The information provided in the statements does not provide any specific information about the values in the sets or the distribution of the values.
Therefore, both statements together are not sufficient to determine whether the ranges of sets A and B are equal.
Since neither statement alone nor both statements together are sufficient to answer the question, the correct answer is option E - Statements (1) and (2) together are not sufficient to answer the question asked, and additional data are needed.
If sets A and B are symmetric about their respective means, it means that the mean of set A is the same as the mean of set B. However, this information alone does not provide any information about the ranges of the sets.
For example, consider two sets:
Set A: {1, 2, 3, 4, 5}
Set B: {6, 7, 8, 9, 10}
Both sets are symmetric about their respective means (mean = 3 for set A and mean = 8 for set B), but the ranges of the sets are different. The range of set A is 4 (5 - 1) and the range of set B is 4 (10 - 6).
Therefore, statement 1 alone is not sufficient to determine whether the ranges of sets A and B are equal.
Statement 2: The median of both sets is 50.
If the median of both sets is 50, it means that the middle value of both sets is 50. However, this information alone does not provide any information about the ranges of the sets.
For example, consider two sets:
Set A: {10, 20, 30, 40, 50}
Set B: {50, 60, 70, 80, 90}
Both sets have a median of 50, but the ranges of the sets are different. The range of set A is 40 (50 - 10) and the range of set B is 40 (90 - 50).
Therefore, statement 2 alone is not sufficient to determine whether the ranges of sets A and B are equal.
Statements 1 and 2 together:
Even when we consider both statements together, we still cannot determine whether the ranges of sets A and B are equal. The information provided in the statements does not provide any specific information about the values in the sets or the distribution of the values.
Therefore, both statements together are not sufficient to determine whether the ranges of sets A and B are equal.
Since neither statement alone nor both statements together are sufficient to answer the question, the correct answer is option E - Statements (1) and (2) together are not sufficient to answer the question asked, and additional data are needed.
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If sets A and B have n elements each, are the ranges of the two sets e...
Evaluate Statement 1 ALONE
Statement 1: Both sets are symmetric about their respective means.
Approach: Counter example
Example: Set A = {1, 2, 3, 4, 5}; Range = 5 – 1 = 4
Set B = {6, 7, 8, 9, 10}; Range = 10 – 6 = 4
Answer to the question is YES.
Counter Example: Set A = {1, 2, 3, 4, 5}; Range = 5 – 1 = 4
Set B = {10, 20, 30, 40, 50}; Range = 50 – 10 = 40
Answer to the question is NO.
Counter Example exists.
Example: Set A = {1, 2, 3, 4, 5}; Range = 5 – 1 = 4
Set B = {6, 7, 8, 9, 10}; Range = 10 – 6 = 4
Answer to the question is YES.
Counter Example: Set A = {1, 2, 3, 4, 5}; Range = 5 – 1 = 4
Set B = {10, 20, 30, 40, 50}; Range = 50 – 10 = 40
Answer to the question is NO.
Counter Example exists.
We are not able to find a CONCLUSIVE answer to the question.
Hence, statement 1 alone is not sufficient.
Eliminate answer options A and D.
Hence, statement 1 alone is not sufficient.
Eliminate answer options A and D.
Evaluate Statement 2 ALONE
Statement 2: The median of both the sets is 50.
Approach: Counter example
Example: Set A = {47, 48, 50, 52, 53}; Range = 53 – 47 = 6
Set B = {47, 49, 50, 51, 53}; Range = 53 – 47 = 6
Answer to the question is YES.
Counter Example: Set A = {50, 50, 50}; Range = 50 – 50 = 0
Set B = {40, 50, 60}; Range = 60 – 40 = 20
Answer to the question is NO.
Counter Example exists.
Example: Set A = {47, 48, 50, 52, 53}; Range = 53 – 47 = 6
Set B = {47, 49, 50, 51, 53}; Range = 53 – 47 = 6
Answer to the question is YES.
Counter Example: Set A = {50, 50, 50}; Range = 50 – 50 = 0
Set B = {40, 50, 60}; Range = 60 – 40 = 20
Answer to the question is NO.
Counter Example exists.
We are not able to find a UNEQUIVOCAL answer to the question.
Hence, statement 2 alone is not sufficient.
Eliminate answer option B.
Hence, statement 2 alone is not sufficient.
Eliminate answer option B.
Evaluate Statements TOGETHER
Statements: From Statement 1: Both sets are symmetric about their respective means.
From Statement 2: The median of both the sets is 50.
From Statement 2: The median of both the sets is 50.
Example: Set A = {48, 50, 50, 50, 52}; Range = 4
Set B = {48, 49, 50, 51, 52}; Range = 4 Answer to the question is Yes.
Counter Example:Set A = {47, 50, 53}; Range = 6
Set B = {40, 50, 60}; Range = 10
Answer to the question is NO.
Counter Example exists.
Set B = {48, 49, 50, 51, 52}; Range = 4 Answer to the question is Yes.
Counter Example:Set A = {47, 50, 53}; Range = 6
Set B = {40, 50, 60}; Range = 10
Answer to the question is NO.
Counter Example exists.
Despite combining both the statements, we are not able to find a DEFINITE answer to the question.
Statement TOGETHER are NOT sufficient.
Eliminate answer option C.
Statement TOGETHER are NOT sufficient.
Eliminate answer option C.
Choice E is the correct answer.
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If sets A and B have n elements each, are the ranges of the two sets equal?Statement 1: Both sets are symmetric about their respective means.Statement 2: The median of both the sets is 50.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked;b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked;c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked,but NEITHER statement ALONE is sufficient;d)EACH statement ALONE is sufficient to answer the question asked;e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed.Correct answer is option 'E'. Can you explain this answer?
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If sets A and B have n elements each, are the ranges of the two sets equal?Statement 1: Both sets are symmetric about their respective means.Statement 2: The median of both the sets is 50.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked;b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked;c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked,but NEITHER statement ALONE is sufficient;d)EACH statement ALONE is sufficient to answer the question asked;e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed.Correct answer is option 'E'. Can you explain this answer? for GMAT 2024 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about If sets A and B have n elements each, are the ranges of the two sets equal?Statement 1: Both sets are symmetric about their respective means.Statement 2: The median of both the sets is 50.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked;b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked;c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked,but NEITHER statement ALONE is sufficient;d)EACH statement ALONE is sufficient to answer the question asked;e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed.Correct answer is option 'E'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If sets A and B have n elements each, are the ranges of the two sets equal?Statement 1: Both sets are symmetric about their respective means.Statement 2: The median of both the sets is 50.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked;b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked;c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked,but NEITHER statement ALONE is sufficient;d)EACH statement ALONE is sufficient to answer the question asked;e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed.Correct answer is option 'E'. Can you explain this answer?.
If sets A and B have n elements each, are the ranges of the two sets equal?Statement 1: Both sets are symmetric about their respective means.Statement 2: The median of both the sets is 50.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked;b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked;c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked,but NEITHER statement ALONE is sufficient;d)EACH statement ALONE is sufficient to answer the question asked;e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed.Correct answer is option 'E'. Can you explain this answer? for GMAT 2024 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about If sets A and B have n elements each, are the ranges of the two sets equal?Statement 1: Both sets are symmetric about their respective means.Statement 2: The median of both the sets is 50.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked;b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked;c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked,but NEITHER statement ALONE is sufficient;d)EACH statement ALONE is sufficient to answer the question asked;e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed.Correct answer is option 'E'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If sets A and B have n elements each, are the ranges of the two sets equal?Statement 1: Both sets are symmetric about their respective means.Statement 2: The median of both the sets is 50.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked;b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked;c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked,but NEITHER statement ALONE is sufficient;d)EACH statement ALONE is sufficient to answer the question asked;e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed.Correct answer is option 'E'. Can you explain this answer?.
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If sets A and B have n elements each, are the ranges of the two sets equal?Statement 1: Both sets are symmetric about their respective means.Statement 2: The median of both the sets is 50.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked;b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked;c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked,but NEITHER statement ALONE is sufficient;d)EACH statement ALONE is sufficient to answer the question asked;e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed.Correct answer is option 'E'. Can you explain this answer?, a detailed solution for If sets A and B have n elements each, are the ranges of the two sets equal?Statement 1: Both sets are symmetric about their respective means.Statement 2: The median of both the sets is 50.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked;b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked;c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked,but NEITHER statement ALONE is sufficient;d)EACH statement ALONE is sufficient to answer the question asked;e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed.Correct answer is option 'E'. Can you explain this answer? has been provided alongside types of If sets A and B have n elements each, are the ranges of the two sets equal?Statement 1: Both sets are symmetric about their respective means.Statement 2: The median of both the sets is 50.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked;b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked;c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked,but NEITHER statement ALONE is sufficient;d)EACH statement ALONE is sufficient to answer the question asked;e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed.Correct answer is option 'E'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice If sets A and B have n elements each, are the ranges of the two sets equal?Statement 1: Both sets are symmetric about their respective means.Statement 2: The median of both the sets is 50.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked;b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked;c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked,but NEITHER statement ALONE is sufficient;d)EACH statement ALONE is sufficient to answer the question asked;e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed.Correct answer is option 'E'. Can you explain this answer? tests, examples and also practice GMAT tests.
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