GMAT Exam > GMAT Questions > In which quadrant does the point (x,y) lie?(1...
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In which quadrant does the point (x,y) lie?
(1) (x, y+1) lies in the IInd Quadrant.
(2) (x + 3, y) lies in the IIIrd Quadrant.
- a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
- b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
- c)BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
- d)EACH statement ALONE is sufficient.
- e)Statements (1) and (2) TOGETHER are NOT sufficient.
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
In which quadrant does the point (x,y) lie?(1) (x, y+1) lies in the II...
Steps 1 & 2: Understand Question and Draw Inferences
We have to determine the specific quadrant in which the point (x, y) lies.
Step 3: Analyze Statement 1
Every point that lies in the IInd Quadrant has a negative x-coordinate and a positive y-coordinate. Since (x, y + 1) lies in the IInd Quadrant
x < 0 and y + 1 > 0
x < 0 and y > -1
Is x negative or positive? Negative.
Is y negative or positive? Since y is greater than -1, it can hold both negative and positive values.
If x is negative and y is negative then the point (x,y) lies in the IIIrd Quadrant.
If x is negative and y is positive then the point (x, y) lies in the IInd Quadrant.
INSUFFICIENT.
Step 4: Analyze Statement 2
Every point that lies in the IIIrd Quadrant has a negative x-coordinate and a negative y-coordinate. Since (x + 3, y) lies in the IIIrd Quadrant
x + 3 < 0 and y < 0
x < -3 and y < 0
Is x negative or positive? Since x is smaller than -3, it would always be a negative number.
Is y negative or positive? Negative.
Since x and y are both negative, the point (x, y) must lie in the IIIrd Quadrant.
SUFFICIENT.
Step 5: Analyze Both Statements Together (if needed)
Since we have obtained an answer, there is no need to combine the statements.
(B) is the answer.
Most Upvoted Answer
In which quadrant does the point (x,y) lie?(1) (x, y+1) lies in the II...
Statement (1): (x, y) lies in the IInd Quadrant.
This statement tells us that the point (x, y) lies in the second quadrant. The second quadrant is the top-left quadrant on the coordinate plane. It is characterized by having negative x-coordinates and positive y-coordinates. Therefore, based on this statement alone, we can conclude that the x-coordinate of the point (x, y) is negative and the y-coordinate is positive.
Statement (2): (x - 3, y) lies in the IIIrd Quadrant.
This statement tells us that the point (x - 3, y) lies in the third quadrant. The third quadrant is the bottom-left quadrant on the coordinate plane. It is characterized by having negative x-coordinates and negative y-coordinates. Therefore, based on this statement alone, we can conclude that the x-coordinate of the point (x - 3, y) is negative and the y-coordinate is negative.
Both statements together:
Combining the information from both statements, we know that the x-coordinate of the point (x - 3, y) is negative and the y-coordinate is negative. Additionally, we know that the x-coordinate of the point (x, y) is negative and the y-coordinate is positive.
Analysis:
From statement (1) alone, we know that the point (x, y) lies in the second quadrant, which means the x-coordinate is negative and the y-coordinate is positive. However, we don't have any information about the signs of the coordinates individually.
From statement (2) alone, we know that the point (x - 3, y) lies in the third quadrant, which means the x-coordinate is negative and the y-coordinate is negative. Again, we don't have any information about the signs of the coordinates individually.
However, when we combine both statements, we can deduce that the x-coordinate of the point (x, y) is negative and the y-coordinate is positive. This information is sufficient to determine that the point (x, y) lies in the second quadrant.
Therefore, statement (2) alone is sufficient to answer the question, while statement (1) alone is not sufficient. The correct answer is option B.
This statement tells us that the point (x, y) lies in the second quadrant. The second quadrant is the top-left quadrant on the coordinate plane. It is characterized by having negative x-coordinates and positive y-coordinates. Therefore, based on this statement alone, we can conclude that the x-coordinate of the point (x, y) is negative and the y-coordinate is positive.
Statement (2): (x - 3, y) lies in the IIIrd Quadrant.
This statement tells us that the point (x - 3, y) lies in the third quadrant. The third quadrant is the bottom-left quadrant on the coordinate plane. It is characterized by having negative x-coordinates and negative y-coordinates. Therefore, based on this statement alone, we can conclude that the x-coordinate of the point (x - 3, y) is negative and the y-coordinate is negative.
Both statements together:
Combining the information from both statements, we know that the x-coordinate of the point (x - 3, y) is negative and the y-coordinate is negative. Additionally, we know that the x-coordinate of the point (x, y) is negative and the y-coordinate is positive.
Analysis:
From statement (1) alone, we know that the point (x, y) lies in the second quadrant, which means the x-coordinate is negative and the y-coordinate is positive. However, we don't have any information about the signs of the coordinates individually.
From statement (2) alone, we know that the point (x - 3, y) lies in the third quadrant, which means the x-coordinate is negative and the y-coordinate is negative. Again, we don't have any information about the signs of the coordinates individually.
However, when we combine both statements, we can deduce that the x-coordinate of the point (x, y) is negative and the y-coordinate is positive. This information is sufficient to determine that the point (x, y) lies in the second quadrant.
Therefore, statement (2) alone is sufficient to answer the question, while statement (1) alone is not sufficient. The correct answer is option B.
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In which quadrant does the point (x,y) lie?(1) (x, y+1) lies in the IInd Quadrant.(2) (x + 3, y) lies in the IIIrd Quadrant.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.c)BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.d)EACH statement ALONE is sufficient.e)Statements (1) and (2) TOGETHER are NOT sufficient.Correct answer is option 'B'. Can you explain this answer?
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In which quadrant does the point (x,y) lie?(1) (x, y+1) lies in the IInd Quadrant.(2) (x + 3, y) lies in the IIIrd Quadrant.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.c)BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.d)EACH statement ALONE is sufficient.e)Statements (1) and (2) TOGETHER are NOT sufficient.Correct answer is option 'B'. 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 In which quadrant does the point (x,y) lie?(1) (x, y+1) lies in the IInd Quadrant.(2) (x + 3, y) lies in the IIIrd Quadrant.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.c)BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.d)EACH statement ALONE is sufficient.e)Statements (1) and (2) TOGETHER are NOT sufficient.Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In which quadrant does the point (x,y) lie?(1) (x, y+1) lies in the IInd Quadrant.(2) (x + 3, y) lies in the IIIrd Quadrant.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.c)BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.d)EACH statement ALONE is sufficient.e)Statements (1) and (2) TOGETHER are NOT sufficient.Correct answer is option 'B'. Can you explain this answer?.
In which quadrant does the point (x,y) lie?(1) (x, y+1) lies in the IInd Quadrant.(2) (x + 3, y) lies in the IIIrd Quadrant.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.c)BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.d)EACH statement ALONE is sufficient.e)Statements (1) and (2) TOGETHER are NOT sufficient.Correct answer is option 'B'. 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 In which quadrant does the point (x,y) lie?(1) (x, y+1) lies in the IInd Quadrant.(2) (x + 3, y) lies in the IIIrd Quadrant.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.c)BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.d)EACH statement ALONE is sufficient.e)Statements (1) and (2) TOGETHER are NOT sufficient.Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In which quadrant does the point (x,y) lie?(1) (x, y+1) lies in the IInd Quadrant.(2) (x + 3, y) lies in the IIIrd Quadrant.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.c)BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.d)EACH statement ALONE is sufficient.e)Statements (1) and (2) TOGETHER are NOT sufficient.Correct answer is option 'B'. Can you explain this answer?.
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ample number of questions to practice In which quadrant does the point (x,y) lie?(1) (x, y+1) lies in the IInd Quadrant.(2) (x + 3, y) lies in the IIIrd Quadrant.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.c)BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.d)EACH statement ALONE is sufficient.e)Statements (1) and (2) TOGETHER are NOT sufficient.Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice GMAT tests.
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