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Line m and n pass through point (1,2). Is the slope of m greater than the slope of n?
(1) The x-intercept of m is greater than 1 and that of n is less than 1
(2) The y-intercept of m = 4 and that of n = (-2)
  • 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 'D'. Can you explain this answer?
Verified Answer
Line m and n pass through point (1,2). Is the slope of m greater than ...
The given question asks whether the slope of line m is greater than the slope of line n, both passing through the point (1,2). We need to determine if we can answer this question based on the information provided in statements (1) and (2) individually or together.
Statement (1): The x-intercept of m is greater than 1, and that of n is less than 1.
This statement provides information about the x-intercepts of the lines. The x-intercept is the point at which a line crosses the x-axis. If the x-intercept is greater than 1 for line m and less than 1 for line n, it means that line m is steeper (has a greater slope) than line n. The reason for this is that the greater the x-intercept, the larger the change in x for a given change in y, indicating a steeper slope. Therefore, statement (1) alone is sufficient to determine that the slope of line m is greater than the slope of line n.
Statement (2): The y-intercept of m = 4, and that of n = -2.
This statement provides information about the y-intercepts of the lines. The y-intercept is the point at which a line crosses the y-axis. However, the y-intercept alone does not provide any information about the slope of the lines. Therefore, statement (2) alone is not sufficient to determine the relationship between the slopes of lines m and n.
When we consider both statements together, we know that line m has a greater x-intercept and line n has a smaller x-intercept, as stated in statement (1). Additionally, statement (2) does not provide any relevant information to compare the slopes of the lines. Therefore, when combined, the statements still do not provide enough information to determine the relationship between the slopes of lines m and n.
Based on the analysis of the individual statements and their combination, the answer is (D) EACH statement ALONE is sufficient to answer the question asked.
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Most Upvoted Answer
Line m and n pass through point (1,2). Is the slope of m greater than ...
The given question asks whether the slope of line m is greater than the slope of line n, both passing through the point (1,2). We need to determine if we can answer this question based on the information provided in statements (1) and (2) individually or together.
Statement (1): The x-intercept of m is greater than 1, and that of n is less than 1.
This statement provides information about the x-intercepts of the lines. The x-intercept is the point at which a line crosses the x-axis. If the x-intercept is greater than 1 for line m and less than 1 for line n, it means that line m is steeper (has a greater slope) than line n. The reason for this is that the greater the x-intercept, the larger the change in x for a given change in y, indicating a steeper slope. Therefore, statement (1) alone is sufficient to determine that the slope of line m is greater than the slope of line n.
Statement (2): The y-intercept of m = 4, and that of n = -2.
This statement provides information about the y-intercepts of the lines. The y-intercept is the point at which a line crosses the y-axis. However, the y-intercept alone does not provide any information about the slope of the lines. Therefore, statement (2) alone is not sufficient to determine the relationship between the slopes of lines m and n.
When we consider both statements together, we know that line m has a greater x-intercept and line n has a smaller x-intercept, as stated in statement (1). Additionally, statement (2) does not provide any relevant information to compare the slopes of the lines. Therefore, when combined, the statements still do not provide enough information to determine the relationship between the slopes of lines m and n.
Based on the analysis of the individual statements and their combination, the answer is (D) EACH statement ALONE is sufficient to answer the question asked.
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Line m and n pass through point (1,2). Is the slope of m greater than the slope of n?(1) The x-intercept of m is greater than 1 and that of n is less than 1(2) The y-intercept of m = 4 and that of n = (-2)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 'D'. Can you explain this answer?
Question Description
Line m and n pass through point (1,2). Is the slope of m greater than the slope of n?(1) The x-intercept of m is greater than 1 and that of n is less than 1(2) The y-intercept of m = 4 and that of n = (-2)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 'D'. Can you explain this answer? for GMAT 2024 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about Line m and n pass through point (1,2). Is the slope of m greater than the slope of n?(1) The x-intercept of m is greater than 1 and that of n is less than 1(2) The y-intercept of m = 4 and that of n = (-2)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 'D'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Line m and n pass through point (1,2). Is the slope of m greater than the slope of n?(1) The x-intercept of m is greater than 1 and that of n is less than 1(2) The y-intercept of m = 4 and that of n = (-2)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 'D'. Can you explain this answer?.
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Here you can find the meaning of Line m and n pass through point (1,2). Is the slope of m greater than the slope of n?(1) The x-intercept of m is greater than 1 and that of n is less than 1(2) The y-intercept of m = 4 and that of n = (-2)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 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Line m and n pass through point (1,2). Is the slope of m greater than the slope of n?(1) The x-intercept of m is greater than 1 and that of n is less than 1(2) The y-intercept of m = 4 and that of n = (-2)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 'D'. Can you explain this answer?, a detailed solution for Line m and n pass through point (1,2). Is the slope of m greater than the slope of n?(1) The x-intercept of m is greater than 1 and that of n is less than 1(2) The y-intercept of m = 4 and that of n = (-2)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 'D'. Can you explain this answer? has been provided alongside types of Line m and n pass through point (1,2). Is the slope of m greater than the slope of n?(1) The x-intercept of m is greater than 1 and that of n is less than 1(2) The y-intercept of m = 4 and that of n = (-2)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 'D'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Line m and n pass through point (1,2). Is the slope of m greater than the slope of n?(1) The x-intercept of m is greater than 1 and that of n is less than 1(2) The y-intercept of m = 4 and that of n = (-2)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 'D'. Can you explain this answer? tests, examples and also practice GMAT tests.
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