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In the xy-plane, is the slope of line L greater than the slope of line K?
(1) L passes through (5, 0) and K passes through (-5, 0).
(2) L and K intersect with each other in the 2nd 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 'E'. Can you explain this answer?
Verified Answer
In the xy-plane, is the slope of line L greater than the slope of line...
To analyze the question and determine the slopes of lines L and K, let's examine each statement individually and then combine them.
Statement (1): L passes through (5, 0), and K passes through (-5, 0).
This statement provides the x-intercepts for both lines but does not provide any information about their slopes. The fact that both lines pass through the x-axis at different points does not allow us to compare their slopes. Therefore, statement (1) alone is not sufficient to answer the question.
Statement (2): L and K intersect with each other in the 2nd quadrant.
This statement tells us that lines L and K intersect in the second quadrant, but it still does not provide enough information to determine the slopes of the lines. Two lines can intersect in different ways, resulting in different slopes. Thus, statement (2) alone is not sufficient to answer the question.
Combining both statements:
Although combining the statements provides additional information about the positions of the lines, it still does not yield enough data to determine the slopes. We don't have any information about the points of intersection or any other relevant details. Thus, even when considering both statements together, we cannot determine the slopes of lines L and K. Therefore, the answer is option (E): Statements (1) and (2) together are not sufficient to answer the question, and additional data are needed.
In summary, both statements individually and together are insufficient to determine the slopes of lines L and K.
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Most Upvoted Answer
In the xy-plane, is the slope of line L greater than the slope of line...
To analyze the question and determine the slopes of lines L and K, let's examine each statement individually and then combine them.
Statement (1): L passes through (5, 0), and K passes through (-5, 0).
This statement provides the x-intercepts for both lines but does not provide any information about their slopes. The fact that both lines pass through the x-axis at different points does not allow us to compare their slopes. Therefore, statement (1) alone is not sufficient to answer the question.
Statement (2): L and K intersect with each other in the 2nd quadrant.
This statement tells us that lines L and K intersect in the second quadrant, but it still does not provide enough information to determine the slopes of the lines. Two lines can intersect in different ways, resulting in different slopes. Thus, statement (2) alone is not sufficient to answer the question.
Combining both statements:
Although combining the statements provides additional information about the positions of the lines, it still does not yield enough data to determine the slopes. We don't have any information about the points of intersection or any other relevant details. Thus, even when considering both statements together, we cannot determine the slopes of lines L and K. Therefore, the answer is option (E): Statements (1) and (2) together are not sufficient to answer the question, and additional data are needed.
In summary, both statements individually and together are insufficient to determine the slopes of lines L and K.
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In the xy-plane, is the slope of line L greater than the slope of line K?(1) L passes through (5, 0) and K passes through (-5, 0).(2) L and K intersect with each other in the 2nd 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 'E'. Can you explain this answer?
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In the xy-plane, is the slope of line L greater than the slope of line K?(1) L passes through (5, 0) and K passes through (-5, 0).(2) L and K intersect with each other in the 2nd 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 '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 In the xy-plane, is the slope of line L greater than the slope of line K?(1) L passes through (5, 0) and K passes through (-5, 0).(2) L and K intersect with each other in the 2nd 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 '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 In the xy-plane, is the slope of line L greater than the slope of line K?(1) L passes through (5, 0) and K passes through (-5, 0).(2) L and K intersect with each other in the 2nd 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 'E'. Can you explain this answer?.
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