GMAT Exam > GMAT Questions > Are the two lines L1 and L2 parallel?1. Both ...
Start Learning for Free
Are the two lines L1 and L2 parallel?
1. Both lines lie in the first, second and fourth quadrants.
2. The y intercepts of the lines L1 and L2 are 8 and 4 respectively.
1. Both lines lie in the first, second and fourth quadrants.
2. The y intercepts of the lines L1 and L2 are 8 and 4 respectively.
- 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 to answer the question ask
- 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 specific to the problem are needed.
Correct answer is option 'E'. Can you explain this answer?
Verified Answer
Are the two lines L1 and L2 parallel?1. Both lines lie in the first, s...
Parallel lines have equal slopes.
In statement 1, if both lines are in the first, second and fourth quadrant then they have a negative slope. This alone is not enough to prove that they are parallel or not, hence, the statement is insufficient.
In statement 2, the y intercepts are 8 and 4 to imply that the equation are of the form y = mx + 8 and y = bx + 4. But this does not enough to determine if the lines area parallel since, notheing is said about the value of m and b, hence, the statement too is insufficient.
Combining the two statements, we have equations having negative gradients, thus, y =-mx + 8 and y = -bx + 4. Since we are not sure of -m = -b, we cannot say that they are parallel on not. Therefore, Statements (1) and (2) TOGETHER are NOT sufficient.
In statement 1, if both lines are in the first, second and fourth quadrant then they have a negative slope. This alone is not enough to prove that they are parallel or not, hence, the statement is insufficient.
In statement 2, the y intercepts are 8 and 4 to imply that the equation are of the form y = mx + 8 and y = bx + 4. But this does not enough to determine if the lines area parallel since, notheing is said about the value of m and b, hence, the statement too is insufficient.
Combining the two statements, we have equations having negative gradients, thus, y =-mx + 8 and y = -bx + 4. Since we are not sure of -m = -b, we cannot say that they are parallel on not. Therefore, Statements (1) and (2) TOGETHER are NOT sufficient.
Most Upvoted Answer
Are the two lines L1 and L2 parallel?1. Both lines lie in the first, s...
Statement (1) Alone:
- Both lines lie in the first, second, and fourth quadrants.
- This statement does not provide any information about the slopes or y-intercepts of the lines.
- Therefore, we cannot determine if the lines are parallel based on this statement alone.
Statement (2) Alone:
- The y-intercepts of the lines L1 and L2 are 8 and 4 respectively.
- This statement provides information about the y-intercepts of the lines but does not provide any information about the slopes.
- Therefore, we cannot determine if the lines are parallel based on this statement alone.
Statements (1) and (2) Together:
- Combining the information from both statements, we know that both lines lie in the first, second, and fourth quadrants and the y-intercepts of the lines are 8 and 4 respectively.
- However, we still do not have any information about the slopes of the lines.
- Since both the slopes and y-intercepts are needed to determine if two lines are parallel, we cannot definitively answer the question based on these statements together.
Conclusion:
- Neither statement alone is sufficient to answer the question.
- When both statements are combined, they are still not sufficient to answer the question.
- Therefore, the correct answer is option (E) - Statements (1) and (2) together are not sufficient to answer the question asked, and additional data specific to the problem is needed.
- Both lines lie in the first, second, and fourth quadrants.
- This statement does not provide any information about the slopes or y-intercepts of the lines.
- Therefore, we cannot determine if the lines are parallel based on this statement alone.
Statement (2) Alone:
- The y-intercepts of the lines L1 and L2 are 8 and 4 respectively.
- This statement provides information about the y-intercepts of the lines but does not provide any information about the slopes.
- Therefore, we cannot determine if the lines are parallel based on this statement alone.
Statements (1) and (2) Together:
- Combining the information from both statements, we know that both lines lie in the first, second, and fourth quadrants and the y-intercepts of the lines are 8 and 4 respectively.
- However, we still do not have any information about the slopes of the lines.
- Since both the slopes and y-intercepts are needed to determine if two lines are parallel, we cannot definitively answer the question based on these statements together.
Conclusion:
- Neither statement alone is sufficient to answer the question.
- When both statements are combined, they are still not sufficient to answer the question.
- Therefore, the correct answer is option (E) - Statements (1) and (2) together are not sufficient to answer the question asked, and additional data specific to the problem is needed.
|
Explore Courses for GMAT exam
|
|
Similar GMAT Doubts
Top Courses for GMATView all
Are the two lines L1 and L2 parallel?1. Both lines lie in the first, second and fourth quadrants.2. The y intercepts of the lines L1 and L2 are 8 and 4 respectively.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 to answer the question askd)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 specific to the problem are needed.Correct answer is option 'E'. Can you explain this answer?
Question Description
Are the two lines L1 and L2 parallel?1. Both lines lie in the first, second and fourth quadrants.2. The y intercepts of the lines L1 and L2 are 8 and 4 respectively.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 to answer the question askd)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 specific to the problem are needed.Correct answer is option 'E'. 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 Are the two lines L1 and L2 parallel?1. Both lines lie in the first, second and fourth quadrants.2. The y intercepts of the lines L1 and L2 are 8 and 4 respectively.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 to answer the question askd)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 specific to the problem are needed.Correct answer is option 'E'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Are the two lines L1 and L2 parallel?1. Both lines lie in the first, second and fourth quadrants.2. The y intercepts of the lines L1 and L2 are 8 and 4 respectively.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 to answer the question askd)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 specific to the problem are needed.Correct answer is option 'E'. Can you explain this answer?.
Are the two lines L1 and L2 parallel?1. Both lines lie in the first, second and fourth quadrants.2. The y intercepts of the lines L1 and L2 are 8 and 4 respectively.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 to answer the question askd)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 specific to the problem are needed.Correct answer is option 'E'. 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 Are the two lines L1 and L2 parallel?1. Both lines lie in the first, second and fourth quadrants.2. The y intercepts of the lines L1 and L2 are 8 and 4 respectively.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 to answer the question askd)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 specific to the problem are needed.Correct answer is option 'E'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Are the two lines L1 and L2 parallel?1. Both lines lie in the first, second and fourth quadrants.2. The y intercepts of the lines L1 and L2 are 8 and 4 respectively.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 to answer the question askd)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 specific to the problem are needed.Correct answer is option 'E'. Can you explain this answer?.
Solutions for Are the two lines L1 and L2 parallel?1. Both lines lie in the first, second and fourth quadrants.2. The y intercepts of the lines L1 and L2 are 8 and 4 respectively.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 to answer the question askd)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 specific to the problem are needed.Correct answer is option 'E'. 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 Are the two lines L1 and L2 parallel?1. Both lines lie in the first, second and fourth quadrants.2. The y intercepts of the lines L1 and L2 are 8 and 4 respectively.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 to answer the question askd)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 specific to the problem are needed.Correct answer is option 'E'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Are the two lines L1 and L2 parallel?1. Both lines lie in the first, second and fourth quadrants.2. The y intercepts of the lines L1 and L2 are 8 and 4 respectively.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 to answer the question askd)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 specific to the problem are needed.Correct answer is option 'E'. Can you explain this answer?, a detailed solution for Are the two lines L1 and L2 parallel?1. Both lines lie in the first, second and fourth quadrants.2. The y intercepts of the lines L1 and L2 are 8 and 4 respectively.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 to answer the question askd)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 specific to the problem are needed.Correct answer is option 'E'. Can you explain this answer? has been provided alongside types of Are the two lines L1 and L2 parallel?1. Both lines lie in the first, second and fourth quadrants.2. The y intercepts of the lines L1 and L2 are 8 and 4 respectively.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 to answer the question askd)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 specific to the problem are needed.Correct answer is option 'E'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Are the two lines L1 and L2 parallel?1. Both lines lie in the first, second and fourth quadrants.2. The y intercepts of the lines L1 and L2 are 8 and 4 respectively.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 to answer the question askd)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 specific to the problem are needed.Correct answer is option 'E'. 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