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GMAT PREP TEST 1 Q10 - DS


 
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maya2008
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PostPosted: Tue May 06, 2008 9:11 pm    Post subject: GMAT PREP TEST 1 Q10 - DS Reply with quote

This is a Data sufficiency question. I know I shouldn't solve those but I really hoped someone would help me solve it so I can understand how to deal with these kinds of questions

In a rectangular coordinate system shown above (I didn't attach since it is just a regular coordinate system), does the line k (not shown) intersect quadrant 2?

Statement 1: the slope of the line is -1/6

Statement 2: the y intercept of k is -6

(the answer btw is A)

Thank's a lot...Maya
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Stuart Kovinsky
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PostPosted: Wed May 07, 2008 12:00 pm    Post subject: Re: GMAT PREP TEST 1 Q10 - DS Reply with quote

maya2008 wrote:
This is a Data sufficiency question. I know I shouldn't solve those but I really hoped someone would help me solve it so I can understand how to deal with these kinds of questions

In a rectangular coordinate system shown above (I didn't attach since it is just a regular coordinate system), does the line k (not shown) intersect quadrant 2?

Statement 1: the slope of the line is -1/6

Statement 2: the y intercept of k is -6

(the answer btw is A)

Thank's a lot...Maya


First thing to note: quadrant II is the top left quadrant.

So, the question is, does the line pass through the top left section of the co-ordinate system?

Let's start with the easier statement:

(2) the y-int is -6

This tells us that the line passes through (0,-6). We could draw a horizontal line through that point which never touches quadrant 2. We can also draw a diagonal line that does go through quadrant 2. Since the answer is "maybe", (2) is insufficient.

(1) The slope of the line is -(1/6)

You could use trial and error to see that a line with this slope will, eventually, go through sector 2.

Alternatively, you could know this rule:

If a line has a positive slope, it definitely goes through sectors 1 and 3.

If a line has a negative slope, it definitely goes through sectors 2 and 4.

As an aside:

If a line is parallel to the x or y axis, it will go through exactly 2 different sectors.

(Except, of course, for the lines x=0 and y=0, which are the axes.)

If a line is not parallel to the x or y axis it will:

go through exactly 2 sectors if it passes through the origin; or

go through exactly 3 sectors if it does not pass through the origin.

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Stuart Kovinsky, BA LLB
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Kaplan Test Prep & Admissions
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maya2008
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PostPosted: Wed May 07, 2008 8:13 pm    Post subject: THANX Reply with quote

Hey, thanx a million...you really helped me!!! Razz
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