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 III rd quadrant, then is the slope of the line L2 positive?
(1) L2 is perpendicular to L1.
(2) L1 and L2 intersect in the I st quadrant.
  • a)
    Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked
  • b)
    Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question 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?
Most Upvoted Answer
If L1 passes through points in each quadrant except the III rd quadran...
Statement (1): Line L2 is perpendicular to line L1.
If line L2 is perpendicular to line L1, it means their slopes are negative reciprocals of each other. If the slope of line L1 is positive, then the slope of line L2 would be negative. Therefore, Statement (1) alone is sufficient to determine that the slope of line L2 is negative.
Statement (2): Line L1 and L2 intersect in the I st quadrant.
This statement provides information about the intersection point of lines L1 and L2 but doesn't provide direct information about the slope of line L2. Knowing the intersection point alone doesn't determine the slope of line L2. Therefore, Statement (2) alone is not sufficient to answer the question.
When we consider both statements together, we know that line L2 is perpendicular to line L1 (from Statement 1), and they intersect in the I st quadrant (from Statement 2). If line L1 passes through points in each quadrant except the IIIrd quadrant, and line L2 is perpendicular to line L1, then line L2 would pass through points in each quadrant except the II nd quadrant.
Since we know the slope of line L1 is positive, and line L2 is perpendicular to line L1, we can determine that the slope of line L2 is negative.
Therefore, Statement (1) alone is sufficient to answer the question, while Statement (2) alone is not sufficient. Thus, the answer is A: Statement (1) alone is sufficient, but statement (2) alone is not sufficient to answer the question asked.
Explore Courses for GMAT exam

Similar GMAT Doubts

Top Courses for GMAT

If L1 passes through points in each quadrant except the III rd quadrant, then is the slope of the line L2 positive?(1) L2 is perpendicular to L1.(2) L1 and L2 intersect in the I st quadrant.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'A'. Can you explain this answer?
Question Description
If L1 passes through points in each quadrant except the III rd quadrant, then is the slope of the line L2 positive?(1) L2 is perpendicular to L1.(2) L1 and L2 intersect in the I st quadrant.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect 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 III rd quadrant, then is the slope of the line L2 positive?(1) L2 is perpendicular to L1.(2) L1 and L2 intersect in the I st quadrant.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect 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 III rd quadrant, then is the slope of the line L2 positive?(1) L2 is perpendicular to L1.(2) L1 and L2 intersect in the I st quadrant.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'A'. Can you explain this answer?.
Solutions for If L1 passes through points in each quadrant except the III rd quadrant, then is the slope of the line L2 positive?(1) L2 is perpendicular to L1.(2) L1 and L2 intersect in the I st quadrant.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect 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 III rd quadrant, then is the slope of the line L2 positive?(1) L2 is perpendicular to L1.(2) L1 and L2 intersect in the I st quadrant.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect 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 III rd quadrant, then is the slope of the line L2 positive?(1) L2 is perpendicular to L1.(2) L1 and L2 intersect in the I st quadrant.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for If L1 passes through points in each quadrant except the III rd quadrant, then is the slope of the line L2 positive?(1) L2 is perpendicular to L1.(2) L1 and L2 intersect in the I st quadrant.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect 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 III rd quadrant, then is the slope of the line L2 positive?(1) L2 is perpendicular to L1.(2) L1 and L2 intersect in the I st quadrant.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect 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 III rd quadrant, then is the slope of the line L2 positive?(1) L2 is perpendicular to L1.(2) L1 and L2 intersect in the I st quadrant.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'A'. Can you explain this answer? tests, examples and also practice GMAT tests.
Explore Courses for GMAT exam

Top Courses for GMAT

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev