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If xy > 0, does (x - l)(y - 1) = 1 ?
Statement 1: x + y = xy
Statement 2: x = y
- 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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Verified Answer
If xy > 0, does (x - l)(y - 1) = 1 ?Statement 1:x + y = xyStatement...
By expanding the product (x - l)(y- 1), the question is equivalent to whether xy - y - x + 1 = 1, or xy - y - x = 0, when xy > 0.
(1) If x + y = xy, then xy -y -x = 0, and hence by the remarks above, (x -l)(y-1) = 1; SUFFICIENT.
(2) If x = y, then (x - 1)(y- 1) = 1 can be true (x = y = 2) and (x - 1)(y- 1) = 1 can be false (x = y = 1); NOT sufficient.
(1) If x + y = xy, then xy -y -x = 0, and hence by the remarks above, (x -l)(y-1) = 1; SUFFICIENT.
(2) If x = y, then (x - 1)(y- 1) = 1 can be true (x = y = 2) and (x - 1)(y- 1) = 1 can be false (x = y = 1); NOT sufficient.
Most Upvoted Answer
If xy > 0, does (x - l)(y - 1) = 1 ?Statement 1:x + y = xyStatement...
By expanding the product (x - l)(y- 1), the question is equivalent to whether xy - y - x + 1 = 1, or xy - y - x = 0, when xy > 0.
(1) If x + y = xy, then xy -y -x = 0, and hence by the remarks above, (x -l)(y-1) = 1; SUFFICIENT.
(2) If x = y, then (x - 1)(y- 1) = 1 can be true (x = y = 2) and (x - 1)(y- 1) = 1 can be false (x = y = 1); NOT sufficient.
(1) If x + y = xy, then xy -y -x = 0, and hence by the remarks above, (x -l)(y-1) = 1; SUFFICIENT.
(2) If x = y, then (x - 1)(y- 1) = 1 can be true (x = y = 2) and (x - 1)(y- 1) = 1 can be false (x = y = 1); NOT sufficient.
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If xy > 0, does (x - l)(y - 1) = 1 ?Statement 1:x + y = xyStatement 2:x = ya)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 xy > 0, does (x - l)(y - 1) = 1 ?Statement 1:x + y = xyStatement 2:x = ya)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 xy > 0, does (x - l)(y - 1) = 1 ?Statement 1:x + y = xyStatement 2:x = ya)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 xy > 0, does (x - l)(y - 1) = 1 ?Statement 1:x + y = xyStatement 2:x = ya)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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