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Does line L pass through Quadrant II?

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Does line L pass through Quadrant II?  [#permalink]

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New post 23 Jul 2015, 07:07
1
3
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A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

74% (00:45) correct 26% (00:50) wrong based on 92 sessions

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Does line L pass through Quadrant II?

(1) Line L has Positive X-Intercept
(2) Line L has negative Y-Intercept

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Re: Does line L pass through Quadrant II?  [#permalink]

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New post 23 Jul 2015, 07:13
GMATinsight wrote:
Does line L pass through Quadrant II?

(1) Line L has Positive X-Intercept
(2) Line L has negative Y-Intercept

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both separately do not tell us anything concrete. depending on the slope , the line may or may not pass through quad ll... insuff
combined, only way for the line to be there is by passing through i,iii,iv and not ll... suff
ans C
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Does line L pass through Quadrant II?  [#permalink]

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New post 23 Jul 2015, 07:25
GMATinsight wrote:
Does line L pass through Quadrant II?

(1) Line L has Positive X-Intercept
(2) Line L has negative Y-Intercept

Source: http://www.GMATinsight.com

Good Questions also Require Kudos :)


Statement 1, X-intercept > 0 --> lines y = 5x-10 (I, III and IV quadrants) and y = -5x+10 (I, II and IV quadrants) both have X-intercept >0 . Thus this statement is not sufficient.

Statement 2, Y-intercept < 0 --> lines y = 5x-10 (I, III and IV quadrants) and y = -5x-10 (II, III and IV quadrants) both have Y-intercept <0 . Thus this statement is not sufficient.

Combining, we get a line of the form : y = mx-b (with m >0 and b>0) and this does not pass through II quadrant. Thus C is the correct answer
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Re: Does line L pass through Quadrant II?  [#permalink]

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New post 26 Jan 2019, 15:05
GMATinsight wrote:
Does line L pass through Quadrant II?

(1) Line L has Positive X-Intercept
(2) Line L has negative Y-Intercept


For geometry Data Sufficiency problems (especially ones that don't have a picture already), sketch out your own picture. Your goal is to try to draw the picture in two different ways (that make the answer to the question different). If you can do that, the statement is insufficient!

Statement 1:

Image

The light blue line doesn't go through quadrant II, while the dark blue line does. Not sufficient.

Statement 2:

Image

The light purple line doesn't go through quadrant II, while the dark purple line does. Not sufficient.

Both statements together:

Image

No matter how hard you try, you can't make the lines pass through quadrant II! Sufficient.
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Re: Does line L pass through Quadrant II?   [#permalink] 26 Jan 2019, 15:05
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