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If x2 + y2 = 29, what is the value of (x - y)2 ?
Statement 1: xy = 10
Statement 2: X= 5
Statement 1: xy = 10
Statement 2: X= 5
- a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer thequestion asked;
- b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer thequestion 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 'A'. Can you explain this answer?
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Most Upvoted Answer
If x2 + y2 = 29, what is the value of (x - y)2 ?Statement 1: xy = 10St...
Since (x - y)2 = (x2 + y2) - 2xy and it is given that x2 + y2 = 29, it follows that (x - y)2 = 29 - 2xy. Therefore, the value of (x - y )2 can be determined if and only if the value of xy can be determined. (1) Since the value of xy is given, the value of (x - y)2 can be determined; SUFFICIENT. (2) Given only that x = 5, it is not possible to determine the value of xy. Therefore, the value of (x - y)2 cannot be determined; NOT sufficient. The correct answer is A
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If x2 + y2 = 29, what is the value of (x - y)2 ?Statement 1: xy = 10St...
Statement 1: xy = 10
From this statement, we know the product of x and y is 10. However, this information is not sufficient to determine the value of (x - y)2.
Statement 2: X= 5
From this statement, we know the value of x is 5. However, this information is not sufficient to determine the value of (x - y)2.
Statements 1 and 2 together:
Combining both statements, we have the following information:
xy = 10
x = 5
Using the value of x=5 from statement 2, we can substitute it into statement 1 to find the value of y:
5y = 10
y = 2
Now, we can calculate the value of (x - y)2:
(5 - 2)2 = 32 = 9
Therefore, together the statements are sufficient to determine the value of (x - y)2.
Conclusion:
From the analysis, we can see that statement 1 alone and statement 2 alone are not sufficient to determine the value of (x - y)2. However, when both statements are considered together, we can determine the value of (x - y)2. Therefore, the answer is option (c) BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient.
From this statement, we know the product of x and y is 10. However, this information is not sufficient to determine the value of (x - y)2.
Statement 2: X= 5
From this statement, we know the value of x is 5. However, this information is not sufficient to determine the value of (x - y)2.
Statements 1 and 2 together:
Combining both statements, we have the following information:
xy = 10
x = 5
Using the value of x=5 from statement 2, we can substitute it into statement 1 to find the value of y:
5y = 10
y = 2
Now, we can calculate the value of (x - y)2:
(5 - 2)2 = 32 = 9
Therefore, together the statements are sufficient to determine the value of (x - y)2.
Conclusion:
From the analysis, we can see that statement 1 alone and statement 2 alone are not sufficient to determine the value of (x - y)2. However, when both statements are considered together, we can determine the value of (x - y)2. Therefore, the answer is option (c) BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient.
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If x2 + y2 = 29, what is the value of (x - y)2 ?Statement 1: xy = 10Statement 2: X= 5a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer thequestion asked;b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer thequestion 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 'A'. Can you explain this answer?
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If x2 + y2 = 29, what is the value of (x - y)2 ?Statement 1: xy = 10Statement 2: X= 5a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer thequestion asked;b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer thequestion 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 'A'. 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 x2 + y2 = 29, what is the value of (x - y)2 ?Statement 1: xy = 10Statement 2: X= 5a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer thequestion asked;b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer thequestion 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 'A'. 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 x2 + y2 = 29, what is the value of (x - y)2 ?Statement 1: xy = 10Statement 2: X= 5a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer thequestion asked;b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer thequestion 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 'A'. Can you explain this answer?.
If x2 + y2 = 29, what is the value of (x - y)2 ?Statement 1: xy = 10Statement 2: X= 5a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer thequestion asked;b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer thequestion 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 'A'. 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 x2 + y2 = 29, what is the value of (x - y)2 ?Statement 1: xy = 10Statement 2: X= 5a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer thequestion asked;b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer thequestion 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 'A'. 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 x2 + y2 = 29, what is the value of (x - y)2 ?Statement 1: xy = 10Statement 2: X= 5a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer thequestion asked;b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer thequestion 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 'A'. Can you explain this answer?.
Solutions for If x2 + y2 = 29, what is the value of (x - y)2 ?Statement 1: xy = 10Statement 2: X= 5a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer thequestion asked;b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer thequestion 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 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for GMAT.
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