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Don't you think this question has ambiguity, the official explanation didn't really make sense.
Definitely. Is this question really from GMAT Prep? If so, can you pleas provide OA given there? Thank you.
In the xy-plane is the slope of line k equal to 0?
The questions basically asks whether line k is a horizontal line (the slope of any horizontal line is always zero. For more check here: math-coordinate-geometry-87652.html).
(1) The x-intercept of k is 0. Now, I'm not a verbal expert, but the x-intercept implies that there is only one point of interception with x-axis, which means that we can eliminate y=0 line. So, we have that line k is not y=0 and has x-intercept, thus it cannot be horizontal --> the slope does not equal to 0. Sufficient.
(2) The y-intercept of k is 0. Clearly insufficient.
In the xy-plane is the slope of line k equal to 0?
(1) The x-intercept of k is 0. (2) The y-intercept of k is 0.
Ron Purewal ManhattanGMAT: GMAC has actually admitted that this problem is flawed. who knows how long it will take until a software release in which it is fixed, but GMAC has admitted that its use of the x-axis as a possibility doesn't square with the use of "THE x-intercept".
Hi, I emailed the GMAC and checked the answer of this question. I asked whether the answer could be (A).
Here is the reply of GMAC;
Answer is E. The answer explanation explains it. There are an infinite number of equations that have an x-intercept = 0 but do not have a slope equal to 0.
The answer explanation provides just one counter example: the equation y=x. Other counterexamples include y=2x, y=3x, y=1/2x, y=1/3x, etc. Because there is at least one example where the answer is yes (the slope = 0) and at least one example where the answer is no (the slope is not = 0), then statement (1) is not sufficient.
Hi, I emailed the GMAC and checked the answer of this question. I asked whether the answer could be (A).
Here is the reply of GMAC;
Answer is E. The answer explanation explains it. There are an infinite number of equations that have an x-intercept = 0 but do not have a slope equal to 0.
The answer explanation provides just one counter example: the equation y=x. Other counterexamples include y=2x, y=3x, y=1/2x, y=1/3x, etc. Because there is at least one example where the answer is yes (the slope = 0) and at least one example where the answer is no (the slope is not = 0), then statement (1) is not sufficient.
None of the examples from GMAC (y=x, y=2x, y=3x, y=1/2x, y=1/3x) has the slope of 0. They say "an x-intercept = 0", while the question says "the x-intercept of k is 0". In the current form the answer must be A, no matter what the GMAC says.
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