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DS - Lines

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Manager
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Joined: 12 Apr 2006
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DS - Lines [#permalink]

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New post 01 May 2009, 06:25
00:00
A
B
C
D
E

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I selected B but that is wrong, can someone explain why 2nd statement by itself in not sufficient.
SVP
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Re: DS - Lines [#permalink]

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New post 01 May 2009, 12:17
It should be E. B is clearly insufficient. We do not know the position of the two lines. Hence, each of these lines can be in quadrant 1, 2, 3 or 4 and with any relation to the y intersection.
Manager
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Re: DS - Lines [#permalink]

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New post 01 May 2009, 22:25
scthakur wrote:
It should be E. B is clearly insufficient. We do not know the position of the two lines. Hence, each of these lines can be in quadrant 1, 2, 3 or 4 and with any relation to the y intersection.


Even I selected the E with same logic but was wrong.

OA is C and this is what I think is the reason.

Statement 1 tells us the lines are in quadrant 1.
Statement 2 tells us y intercept is greater for line n than p means slope of n is greater than p.

slope = rise/run so if rise is greater slope is greater, thus conclusively answer.
Senior Manager
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Re: DS - Lines [#permalink]

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New post 02 May 2009, 01:50
Please let me know if the explaination is right.

Line n y1 = m1x1 + c1
Line P y2 = m2x2 + c2

IS m1 > m2 ?

Stmt 1 :
Both line passed through (5,1)
m1 = 5 - c1
m2 = 5 - c2
we are not sure about c1 and c2. Insufficent.

stmt 2 : c1 > c2 . We are about which quadarant the line passes. Insufficient.

Both yes if c1 > c2 then m2> m1. Ans C
Manager
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Re: DS - Lines [#permalink]

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New post 02 May 2009, 08:30
Clearly the answer is C.

Statement 1 doesn't give much information about the slopes of the two lines.

Statement 2 only informs which one has higher Y-Intercept, implying which line has higher Y-value when they intersect with Y-axis.


Combining both the statements, you can visualize the lines. I've attached an image for you to help visualize better.
Whenever a line tends to extend below X-axis (like the Red-line in the image), it has a NEGATIVE Slope.
If the Line is parallel to X-axis, it has Slope = 0.
If the line is parallel to Y-axis, it has Slope - Infinity.

In this case line n is pointed more down than line p, which indicates line n has a lesser slope than line P.

hope it helps.
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Re: DS - Lines   [#permalink] 02 May 2009, 08:30
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