GMAT Exam > GMAT Questions > If L1 passes through points in each quadrant ...
Start Learning for Free
If L1 passes through points in each quadrant except the IIIrd quadrant, then is the slope of the line L2 positive?
(1) L2 is perpendicular to L1.
(2) L1 and L2 intersect in the Ist 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 'A'. Can you explain this answer?
Verified Answer
If L1 passes through points in each quadrant except the IIIrd quadrant...
Steps 1 & 2: Understand Question and Draw Inferences
If L1 passes through points in each quadrant except the IIIrd quadrant, then the Line must have both its x and y intercepts as positive numbers.
Let’s assume the x-intercept = a and y-intercept = b for the line L1, where both a and b are positive numbers. This means that the line L1 passes through (a, 0) and (0, b).
Slope of 
. Since a and b are positive, the slope is a negative number.
. Since a and b are positive, the slope is a negative number.Step 3: Analyze Statement 1
Slope of 
m2 is positive since a and b are positive.
SUFFICIENT.
Step 4: Analyze Statement 2
If the slope of line L1 is negative and it intersects with a line L2 in the first quadrant, then the slope of L2 can be positive or negative as shown in the figures below:
The slope of L2 in the first diagram is negative while in the second quadrant the slope of L2 is positive.
INSUFFICIENT.
Step 5: Analyze Both Statements Together (if needed)
Since we get an answer from Step 3, there is no need to combine the statements.
(A) is the answer.
Most Upvoted Answer
If L1 passes through points in each quadrant except the IIIrd quadrant...
Statement 1: L2 is perpendicular to L1.
Statement 2: L1 and L2 intersect in the 1st quadrant.
We need to determine if the slope of line L2 is positive.
To solve this problem, let's analyze each statement separately and then evaluate their combined impact.
Statement 1: L2 is perpendicular to L1.
- If L1 passes through points in each quadrant except the 3rd quadrant, it means that L1 is angled upwards and does not have a negative slope.
- If L2 is perpendicular to L1, it means that L2 is angled downwards and has a negative slope.
- Therefore, the slope of L2 is negative, not positive.
Statement 1 alone is sufficient.
Statement 2: L1 and L2 intersect in the 1st quadrant.
- If L1 and L2 intersect in the 1st quadrant, it means that both lines have positive slopes.
- However, this information does not provide any direct information about the slope of L2.
- Therefore, statement 2 alone is not sufficient to determine the slope of L2.
Combining both statements:
- From statement 1, we know that the slope of L2 is negative.
- From statement 2, we know that L1 and L2 have positive slopes.
- Combining these two pieces of information, we can conclude that the slope of L2 is negative and not positive.
Therefore, both statements together are not sufficient to determine the slope of L2.
The correct answer is (A).
Statement 2: L1 and L2 intersect in the 1st quadrant.
We need to determine if the slope of line L2 is positive.
To solve this problem, let's analyze each statement separately and then evaluate their combined impact.
Statement 1: L2 is perpendicular to L1.
- If L1 passes through points in each quadrant except the 3rd quadrant, it means that L1 is angled upwards and does not have a negative slope.
- If L2 is perpendicular to L1, it means that L2 is angled downwards and has a negative slope.
- Therefore, the slope of L2 is negative, not positive.
Statement 1 alone is sufficient.
Statement 2: L1 and L2 intersect in the 1st quadrant.
- If L1 and L2 intersect in the 1st quadrant, it means that both lines have positive slopes.
- However, this information does not provide any direct information about the slope of L2.
- Therefore, statement 2 alone is not sufficient to determine the slope of L2.
Combining both statements:
- From statement 1, we know that the slope of L2 is negative.
- From statement 2, we know that L1 and L2 have positive slopes.
- Combining these two pieces of information, we can conclude that the slope of L2 is negative and not positive.
Therefore, both statements together are not sufficient to determine the slope of L2.
The correct answer is (A).
|
Explore Courses for GMAT exam
|
|
Similar GMAT Doubts
Top Courses for GMATView all
If L1 passes through points in each quadrant except the IIIrd quadrant, then is the slope of the line L2 positive?(1) L2 is perpendicular to L1.(2) L1 and L2 intersect in the Ist 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 'A'. Can you explain this answer?
Question Description
If L1 passes through points in each quadrant except the IIIrd quadrant, then is the slope of the line L2 positive?(1) L2 is perpendicular to L1.(2) L1 and L2 intersect in the Ist 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 'A'. 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 If L1 passes through points in each quadrant except the IIIrd quadrant, then is the slope of the line L2 positive?(1) L2 is perpendicular to L1.(2) L1 and L2 intersect in the Ist 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 'A'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If L1 passes through points in each quadrant except the IIIrd quadrant, then is the slope of the line L2 positive?(1) L2 is perpendicular to L1.(2) L1 and L2 intersect in the Ist 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 'A'. Can you explain this answer?.
If L1 passes through points in each quadrant except the IIIrd quadrant, then is the slope of the line L2 positive?(1) L2 is perpendicular to L1.(2) L1 and L2 intersect in the Ist 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 'A'. 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 If L1 passes through points in each quadrant except the IIIrd quadrant, then is the slope of the line L2 positive?(1) L2 is perpendicular to L1.(2) L1 and L2 intersect in the Ist 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 'A'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If L1 passes through points in each quadrant except the IIIrd quadrant, then is the slope of the line L2 positive?(1) L2 is perpendicular to L1.(2) L1 and L2 intersect in the Ist 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 'A'. Can you explain this answer?.
Solutions for If L1 passes through points in each quadrant except the IIIrd quadrant, then is the slope of the line L2 positive?(1) L2 is perpendicular to L1.(2) L1 and L2 intersect in the Ist 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 'A'. 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 If L1 passes through points in each quadrant except the IIIrd quadrant, then is the slope of the line L2 positive?(1) L2 is perpendicular to L1.(2) L1 and L2 intersect in the Ist 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 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
If L1 passes through points in each quadrant except the IIIrd quadrant, then is the slope of the line L2 positive?(1) L2 is perpendicular to L1.(2) L1 and L2 intersect in the Ist 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 'A'. Can you explain this answer?, a detailed solution for If L1 passes through points in each quadrant except the IIIrd quadrant, then is the slope of the line L2 positive?(1) L2 is perpendicular to L1.(2) L1 and L2 intersect in the Ist 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 'A'. Can you explain this answer? has been provided alongside types of If L1 passes through points in each quadrant except the IIIrd quadrant, then is the slope of the line L2 positive?(1) L2 is perpendicular to L1.(2) L1 and L2 intersect in the Ist 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 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice If L1 passes through points in each quadrant except the IIIrd quadrant, then is the slope of the line L2 positive?(1) L2 is perpendicular to L1.(2) L1 and L2 intersect in the Ist 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 'A'. Can you explain this answer? tests, examples and also practice GMAT tests.
|
|
Explore Courses for GMAT exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup