GMAT Exam > GMAT Questions > What is the value of xy?Statement 1: x + y = ...
Start Learning for Free
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?
| FREE This question is part of | Download PDF Attempt this Test |
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
Attention GMAT Students!
To make sure you are not studying endlessly, EduRev has designed GMAT study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in GMAT.
|
Explore Courses for GMAT exam
|
|
Top Courses for GMATView all
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?
Question Description
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 2024 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 2024 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 2024 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 2024 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.
Download more important topics, notes, lectures and mock test series for GMAT Exam by signing up for free.
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.
|
|
Explore Courses for GMAT exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup