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What is the value of xy?
Statement 1: x + y = 10
Statement 2: x - y = 6
- 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 'C'. Can you explain this answer?
Verified Answer
What is the value of xy?Statement 1: x + y = 10Statement 2: x - y = 6a...
(1) Given x + y = 10, or y = 10 - x, it follows that xy = x(10 - x), which does not have a unique value. For example, if x = 0, then xy = (0)(10) = 0, but if x = 1, then xy = (1)(9) = 9; NOT sufficient.
(2) Given x - y = 6, or y = x - 6, it follows that xy = x(x - 6), which does not have a unique value. For example, if x = 0, then xy = (0) (-6) = 0, but if x = 1, then xy = (1)(-5) = -5; NOT sufficient.
Using (1) and (2) together, the two equations can be solved simultaneously for x and y. One way to do this is by adding the two equations, x + y = 10 and x - y = 6, to get 2x = 16, or x = 8.
Then substitute into either of the equations to obtain an equation that can be solved to get y = 2. Thus, xy can be determined to have the value (8)(2) = 16. Alternatively, the two equations
correspond to a pair of nonparallel lines in the (x,y) coordinate plane, which have a unique point incommon.
The correct answer is C
(2) Given x - y = 6, or y = x - 6, it follows that xy = x(x - 6), which does not have a unique value. For example, if x = 0, then xy = (0) (-6) = 0, but if x = 1, then xy = (1)(-5) = -5; NOT sufficient.
Using (1) and (2) together, the two equations can be solved simultaneously for x and y. One way to do this is by adding the two equations, x + y = 10 and x - y = 6, to get 2x = 16, or x = 8.
Then substitute into either of the equations to obtain an equation that can be solved to get y = 2. Thus, xy can be determined to have the value (8)(2) = 16. Alternatively, the two equations
correspond to a pair of nonparallel lines in the (x,y) coordinate plane, which have a unique point incommon.
The correct answer is C
Most Upvoted Answer
What is the value of xy?Statement 1: x + y = 10Statement 2: x - y = 6a...
(1) Given x + y = 10, or y = 10 - x, it follows that xy = x(10 - x), which does not have a unique value. For example, if x = 0, then xy = (0)(10) = 0, but if x = 1, then xy = (1)(9) = 9; NOT sufficient.
(2) Given x - y = 6, or y = x - 6, it follows that xy = x(x - 6), which does not have a unique value. For example, if x = 0, then xy = (0) (-6) = 0, but if x = 1, then xy = (1)(-5) = -5; NOT sufficient.
Using (1) and (2) together, the two equations can be solved simultaneously for x and y. One way to do this is by adding the two equations, x + y = 10 and x - y = 6, to get 2x = 16, or x = 8.
Then substitute into either of the equations to obtain an equation that can be solved to get y = 2. Thus, xy can be determined to have the value (8)(2) = 16. Alternatively, the two equations
correspond to a pair of nonparallel lines in the (x,y) coordinate plane, which have a unique point incommon.
The correct answer is C
(2) Given x - y = 6, or y = x - 6, it follows that xy = x(x - 6), which does not have a unique value. For example, if x = 0, then xy = (0) (-6) = 0, but if x = 1, then xy = (1)(-5) = -5; NOT sufficient.
Using (1) and (2) together, the two equations can be solved simultaneously for x and y. One way to do this is by adding the two equations, x + y = 10 and x - y = 6, to get 2x = 16, or x = 8.
Then substitute into either of the equations to obtain an equation that can be solved to get y = 2. Thus, xy can be determined to have the value (8)(2) = 16. Alternatively, the two equations
correspond to a pair of nonparallel lines in the (x,y) coordinate plane, which have a unique point incommon.
The correct answer is C
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Community Answer
What is the value of xy?Statement 1: x + y = 10Statement 2: x - y = 6a...
Understanding the Problem
To find the value of xy, we need to analyze the two statements provided:
- Statement 1: x + y = 10
- Statement 2: x - y = 6
Let's evaluate each statement individually and then together.
Analyzing Statement 1
- From x + y = 10, we can express y in terms of x:
- y = 10 - x
- However, this does not give us a specific value for xy without knowing x or y individually.
Conclusion for Statement 1
- Statement 1 alone is insufficient.
Analyzing Statement 2
- From x - y = 6, we can express y in terms of x:
- y = x - 6
- Similar to Statement 1, this alone does not provide enough information to find a specific value for xy without knowing x or y.
Conclusion for Statement 2
- Statement 2 alone is also insufficient.
Combining Both Statements
- Now, let's combine the two statements:
1. From Statement 1: x + y = 10
2. From Statement 2: x - y = 6
We can solve these two equations simultaneously:
1. Adding both equations:
- (x + y) + (x - y) = 10 + 6
- 2x = 16
- x = 8
2. Substituting x back into one of the equations to find y:
- x + y = 10
- 8 + y = 10
- y = 2
Now we can find xy:
- xy = 8 * 2 = 16.
Conclusion for Combined Statements
- Both statements together are sufficient to find the value of xy.
Thus, the answer is option C: BOTH statements (1) and (2) TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
To find the value of xy, we need to analyze the two statements provided:
- Statement 1: x + y = 10
- Statement 2: x - y = 6
Let's evaluate each statement individually and then together.
Analyzing Statement 1
- From x + y = 10, we can express y in terms of x:
- y = 10 - x
- However, this does not give us a specific value for xy without knowing x or y individually.
Conclusion for Statement 1
- Statement 1 alone is insufficient.
Analyzing Statement 2
- From x - y = 6, we can express y in terms of x:
- y = x - 6
- Similar to Statement 1, this alone does not provide enough information to find a specific value for xy without knowing x or y.
Conclusion for Statement 2
- Statement 2 alone is also insufficient.
Combining Both Statements
- Now, let's combine the two statements:
1. From Statement 1: x + y = 10
2. From Statement 2: x - y = 6
We can solve these two equations simultaneously:
1. Adding both equations:
- (x + y) + (x - y) = 10 + 6
- 2x = 16
- x = 8
2. Substituting x back into one of the equations to find y:
- x + y = 10
- 8 + y = 10
- y = 2
Now we can find xy:
- xy = 8 * 2 = 16.
Conclusion for Combined Statements
- Both statements together are sufficient to find the value of xy.
Thus, the answer is option C: BOTH statements (1) and (2) TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
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What is the value of xy?Statement 1: x + y = 10Statement 2: x - y = 6a)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 'C'. Can you explain this answer? for GMAT 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about What is the value of xy?Statement 1: x + y = 10Statement 2: x - y = 6a)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 'C'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What is the value of xy?Statement 1: x + y = 10Statement 2: x - y = 6a)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 'C'. Can you explain this answer?.
What is the value of xy?Statement 1: x + y = 10Statement 2: x - y = 6a)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 'C'. Can you explain this answer? for GMAT 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about What is the value of xy?Statement 1: x + y = 10Statement 2: x - y = 6a)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 'C'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What is the value of xy?Statement 1: x + y = 10Statement 2: x - y = 6a)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 'C'. Can you explain this answer?.
Solutions for What is the value of xy?Statement 1: x + y = 10Statement 2: x - y = 6a)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 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for GMAT.
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Here you can find the meaning of What is the value of xy?Statement 1: x + y = 10Statement 2: x - y = 6a)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 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
What is the value of xy?Statement 1: x + y = 10Statement 2: x - y = 6a)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 'C'. Can you explain this answer?, a detailed solution for What is the value of xy?Statement 1: x + y = 10Statement 2: x - y = 6a)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 'C'. Can you explain this answer? has been provided alongside types of What is the value of xy?Statement 1: x + y = 10Statement 2: x - y = 6a)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 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice What is the value of xy?Statement 1: x + y = 10Statement 2: x - y = 6a)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 'C'. Can you explain this answer? tests, examples and also practice GMAT tests.
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