Lines a and b, not shown, lie in the rectangular coordinate system shown above. Is the slope of line a greater than the slope of line b?(1) Line a does not intersect quadrant III.(2) Line b intersects quadrant IV.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 'E'. Can you explain this answer?

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Lines a and b, not shown, lie in the rectangular coordinate system shown above. Is the slope of line a greater than the slope of line b?

(1) Line a does not intersect quadrant III.

(2) Line b intersects quadrant IV.

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 'E'. Can you explain this answer?

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Lines a and b, not shown, lie in the rectangular coordinate system sho...

Step 1 & 2 – Understand the question and draw inferences from the question statement.

Given: lines a and b are in the graph

To find: Comparison of the slopes of the lines

Step 3 – Analyze Statement 1 Independently

Per statement 1, line a does not intersect quadrant III

Inference 1: Line a can have a zero slope, a negative slope or an undefined slope. However, it cannot have a positive slope.

Since Statement 1 does not tell you anything about line b , the information provided in Statement 1 is not sufficient to arrive at a unique answer.

Step 4 – Analyze Statement 2 Independently

Per Statement 2, line b intersects quadrant IV

Inference 2: line b has any kind of slope

Inference 3: if the slope is positive, the y-intercept is negative

Since Statement 2 does not tell you anything about line a , the information provided in Statement 2 is not sufficient to arrive at a unique answer.

Step 5 – Analyze Both Statements Together

To analyze both statements together, we will put the inferences from both statements. Here is the data that we have:

Inference 1: Line a can't have a positive slope.

Inference 2: line b has any kind of slope

Inference 3: if the slope is positive, the y-intercept is negative

Though we know the slope of line a is negative, we know nothing of the slope of line b . Inference 3 does not help. The question cannot be answered.

Answer: Option (E)

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Lines a and b, not shown, lie in the rectangular coordinate system shown above. Is the slope of line a greater than the slope of line b?(1) Line a does not intersect quadrant III.(2) Line b intersects quadrant IV.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 'E'. Can you explain this answer?

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Lines a and b, not shown, lie in the rectangular coordinate system shown above. Is the slope of line a greater than the slope of line b?(1) Line a does not intersect quadrant III.(2) Line b intersects quadrant IV.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 '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 Lines a and b, not shown, lie in the rectangular coordinate system shown above. Is the slope of line a greater than the slope of line b?(1) Line a does not intersect quadrant III.(2) Line b intersects quadrant IV.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 '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 Lines a and b, not shown, lie in the rectangular coordinate system shown above. Is the slope of line a greater than the slope of line b?(1) Line a does not intersect quadrant III.(2) Line b intersects quadrant IV.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 'E'. Can you explain this answer?.

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