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19 Oct 2018, 07:47
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
55%
(hard)
Question Stats:
62% (01:46) correct
38%
(02:04)
wrong
based on 282
sessions
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In the x-y coordinate plane, does line k have a positive x-intercept?
(1) (slope of line k)(y-intercept of line k) > 0
(2) (slope of line k) - (y-intercept of line k) < 0
*kudos for all correct solutions
(A) Statement 1 alone is sufficient, but statement 2 alone is not.
(B) Statement 2 alone is sufficient, but statement 1 alone is not.
(C) Both statements together are sufficient, but neither alone is sufficient.
(D) Each statement alone is sufficient.
(E) Neither statement is sufficient, even when combined.
(1) (slope of line k)(y-intercept of line k) > 0
(2) (slope of line k) - (y-intercept of line k) < 0
*kudos for all correct solutions
(A) Statement 1 alone is sufficient, but statement 2 alone is not.
(B) Statement 2 alone is sufficient, but statement 1 alone is not.
(C) Both statements together are sufficient, but neither alone is sufficient.
(D) Each statement alone is sufficient.
(E) Neither statement is sufficient, even when combined.
Updated on: 19 Oct 2018, 09:39
Originally posted by Salsanousi on 19 Oct 2018, 08:17.
Last edited by Salsanousi on 19 Oct 2018, 09:39, edited 2 times in total.
Last edited by Salsanousi on 19 Oct 2018, 09:39, edited 2 times in total.
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GMATPrepNow
If the slope is positive then the y-intercept is positive only way for this to be possible is when x-intercept is negative.
The same is true for the slope is negative and y-intercept is negative
The x-intercept is negative.
Sufficient.
For statement 2)
If slope is positive then y intercept must be a larger positive for the statement to hold true and be negative.
If both are positive then x-intercept is negative.
Now if slope is negative then y-intercept is a smaller negative or a positive number.
X-intercept then can be positivbe or negative
Insufficient.
The answer is best understood by a drawing.
Answer choice A.
Thanks to GMATinsight for pointing out a mistake in my solution, I originally choose D.
Posted from my mobile device
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File comment: For statement 2
Screen Shot 2018-10-19 at 7.37.39 PM.png [ 31.78 KiB | Viewed 6724 times ]
File comment: For statement 1
Screen Shot 2018-10-19 at 7.37.33 PM.png [ 24.96 KiB | Viewed 6720 times ]
19 Oct 2018, 09:04
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Question: does line k have a positive x-intercept?
Statement 1: (slope of line k)(y-intercept of line k) > 0
Case 1: Both slope and y-intercept are +ve (Red Line)
Case 2: Both slope and y-intercept are -ve (Blue Line)
As per both cases, x-intercept is -ve hence
SUFFICIENT
Statement 2: (slope of line k) - (y-intercept of line k) < 0
i.e. (slope of line k) < (y-intercept of line k)
Case 1: Y-intercept = 3 and slope = 1 (Red Line)
Case 2: Y-intercept = 3 and slope = -1 (Blue Line)
X intercept in one case is +ve and in other case it's -ve hence
NOT SUFFICIENT
Answer: Option A
19 Oct 2018, 09:08
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Salsanousi
I find some mistake in highlighted part Salsanousi
When slope is -1, Y-intercept may be +3 as well and (slope of line k) - (y-intercept of line k) = (-1) - (+3) < 0 also stays satisfied.
