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29 Apr 2020, 07:54
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
15%
(low)
Question Stats:
74% (01:02) correct
26%
(00:50)
wrong
based on 133
sessions
History
Date
Time
Result
Not Attempted Yet
Is the slope of Line L > 0?
1) Line L passes through Quandrant II
2) Line L has negative Y-intercept
(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) Line L passes through Quandrant II
2) Line L has negative Y-intercept
(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.
Source: https://www.GMATinsight.com
ArunSharma12
Joined: 25 Oct 2015
Last visit: 20 Jul 2022
Posts: 512
Own Kudos:
Given Kudos: 74
Location: India
Schools: IIML-IPMX '22 (A)
GMAT 1: 650 Q48 V31
GMAT 2: 720 Q49 V38 (Online)
GPA: 4
Products:
29 Apr 2020, 08:26
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GMATinsight
If a line makes acute angle with X-axis,slope is positive
If a line makes obtuse angle with X-axis, slope is negative.
statement 1:
It does not specify the slope of line. It can be either positive or negative depending on the angle made with X-axis.
not sufficient
statement 2:
This also does not restrict a line to have a certain slope. It can still be positive or negative intercepting the Y-axis below the X-axis.
not sufficient
combining both statements,
This restricts any lines making acute angle with X-axis.
Allowed lines can only make obtuse angle with X-axis hence slope will be negative for such lines.
Ans: C
29 Apr 2020, 11:56
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GMATinsight
Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution.
Visit https://www.mathrevolution.com/gmat/lesson for details.
The first step of the VA (Variable Approach) method is to modify the original condition and the question. We then recheck the question. We should simplify conditions if necessary.
Condition 2) tells the followings.
If L has a positive slope, the line L passes through the quadrants 1, 3 and 4.
If L has a negative slope, the line L passes through the quadrants 2, 3 and 4.
Thus, when we consider both conditions together, the slope of the line L is positive.
Since both conditions together yield a unique solution, they are sufficient.
Therefore, C is the answer.
