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# Lines m and n are perpendicular to one another. Is the product of the

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Math Expert
Joined: 02 Sep 2009
Posts: 55265
Lines m and n are perpendicular to one another. Is the product of the  [#permalink]

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25 Jul 2017, 22:46
00:00

Difficulty:

55% (hard)

Question Stats:

25% (01:46) correct 75% (01:33) wrong based on 19 sessions

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Lines m and n are perpendicular to one another. Is the product of the slopes of the lines less than the product of the Y-intercepts of the two lines?

(1) Only line m passes through the origin.
(2) None of the lines are parallel to either axis

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Re: Lines m and n are perpendicular to one another. Is the product of the  [#permalink]

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26 Jul 2017, 04:44
Bunuel wrote:
Lines m and n are perpendicular to one another. Is the product of the slopes of the lines less than the product of the Y-intercepts of the two lines?

(1) Only line m passes through the origin.
(2) None of the lines are parallel to either axis

Let Line m be y=mx+c and line n be p=qx+d
We know m*q = -1
Question: is mq<cd

(1) only line m passes through origin
c=0 and d is not equal to 0
cd=0 and mq = -1
Sufficient

(2) none of the lines are parallel to either axis

no information about c and d
Hence not sufficient

A
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Luckisnoexcuse
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Joined: 21 Sep 2016
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Re: Lines m and n are perpendicular to one another. Is the product of the  [#permalink]

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14 Aug 2017, 23:59
Bunuel wrote:
Lines m and n are perpendicular to one another. Is the product of the slopes of the lines less than the product of the Y-intercepts of the two lines?

(1) Only line m passes through the origin.
(2) None of the lines are parallel to either axis

Hi Bunuel,

Please explain why statement 1 alone is not sufficient I came up with the same answer as Luckisnoexcuse.
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Joined: 12 Nov 2016
Posts: 70
Re: Lines m and n are perpendicular to one another. Is the product of the  [#permalink]

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15 Aug 2017, 00:25
Bro, that question is not flawed of coordinate geometry..consider 2 scenarios for statement 1:
2 perpendicular lines, 1 line is x axis and the other one is line x=6 . In this case, y intercept of the both the lines will be 0.
Second scenario, what if the perpendicular lines are Y axis and line y=4. In this case y intercept need not be 0 since y axis has x intercept as 0 and can have any value for y including 0. That makes statement 1 insufficient.
Statement 2 is insufficient.
From 1&2, we can definitely answer hence it's C.

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Math Expert
Joined: 02 Sep 2009
Posts: 55265
Lines m and n are perpendicular to one another. Is the product of the  [#permalink]

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15 Aug 2017, 00:41
1
grantcke wrote:
Bunuel wrote:
Lines m and n are perpendicular to one another. Is the product of the slopes of the lines less than the product of the Y-intercepts of the two lines?

(1) Only line m passes through the origin.
(2) None of the lines are parallel to either axis

Hi Bunuel,

Please explain why statement 1 alone is not sufficient I came up with the same answer as Luckisnoexcuse.

The reason is that m could coincide with y-axis, so vertical and in this case n would be parallel to x-axis, so horizontal. Vertical line has undefined slope, which makes comparison impossible. This is somewhat technical thing, so because of this I don't think that the question is of good quality.

--== Message from the GMAT Club Team ==--

THERE IS LIKELY A BETTER DISCUSSION OF THIS EXACT QUESTION.
This discussion does not meet community quality standards. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.

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Lines m and n are perpendicular to one another. Is the product of the   [#permalink] 15 Aug 2017, 00:41
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