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If line M passes through exactly 2 of the quadrants shown above and ha

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If line M passes through exactly 2 of the quadrants shown above and ha  [#permalink]

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New post 07 Sep 2018, 01:25
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A
B
C
D
E

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  65% (hard)

Question Stats:

44% (01:58) correct 56% (01:20) wrong based on 39 sessions

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If line M passes through exactly 2 of the quadrants shown above and has a slope, s, greater than –1, what is s ?

(1) Line M passes through Quadrant I.
(2) Line M passes through Quadrant II.


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Re: If line M passes through exactly 2 of the quadrants shown above and ha  [#permalink]

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New post 07 Sep 2018, 05:28
line M passes through exactly two quadrants. So it can be either parallel to axis or passing through origin. we know that slope is more than -1, s it can be -0.5 or 0, 1, 2,3. If the slope is -0.5, then the only condition in which it will pass through two quadrants is if it passes through origin with negative slope. If the slope is positive i.e. 1 or 2, then the line will pass through origin and through quadrants 1 and 3.
Now, according to the 1st condition,
1. line M passes through 1st quadrant, but the value of slope can be anything 1,2,3. so option A and D got eliminated.
2. Line M passes through 3rd quadrant, but again the value can be anything. So option B got eliminated.
Combining both the conditions, still we don't have a unique answer.
Therefore the answer is E.
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Re: If line M passes through exactly 2 of the quadrants shown above and ha  [#permalink]

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New post 07 Sep 2018, 12:06
1
If you combine statement one and statement two, then the straight line must pass through both quadrant I and quadrant II, I think the slope would need to be 0.

0 is the only value of s that allows for the line to pass through both of the required quadrants.

Answer C

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If line M passes through exactly 2 of the quadrants shown above and ha  [#permalink]

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New post 08 Sep 2018, 00:04
nik9rider wrote:
line M passes through exactly two quadrants. So it can be either parallel to axis or passing through origin. we know that slope is more than -1, s it can be -0.5 or 0, 1, 2,3. If the slope is -0.5, then the only condition in which it will pass through two quadrants is if it passes through origin with negative slope. If the slope is positive i.e. 1 or 2, then the line will pass through origin and through quadrants 1 and 3.
Now, according to the 1st condition,
1. line M passes through 1st quadrant, but the value of slope can be anything 1,2,3. so option A and D got eliminated.
2. Line M passes through 3rd quadrant, but again the value can be anything. So option B got eliminated.
Combining both the conditions, still we don't have a unique answer.
Therefore the answer is E.


Hi nik9rider,
Combing both the statements, line M passes through Q1 and Q2.

The only possibility is that the line M is parallel to x-axis and above the-axis. A slight tilt in the line M violates the combined statement.

And the line parallel to x-axis has a slope=0
Sufficient to conclude that s=0.

Ans. (C)
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If line M passes through exactly 2 of the quadrants shown above and ha &nbs [#permalink] 08 Sep 2018, 00:04
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