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# In the xy-plane, line L passes through point (2,2). If the

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Current Student
Joined: 11 May 2008
Posts: 551
In the xy-plane, line L passes through point (2,2). If the  [#permalink]

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30 Jul 2008, 18:58
In the xy-plane, line L passes through point (2,2). If the product of the x-intercept and y-intercept is negative, which of the following cannot be a point of L?
I. (-10, 1)
II. (10,5)
III. (10, -2)
(A) Only I
(B) Only II
(C) Only III
(D) I and II
(E) I and III

heres another one

If 60 students took a test and the median score was 80, which of the following must be true?
I. At least 29 scores are greater than 80.
II. At least 30 scores are equal to or greater than 80.
III. At most 30 scores are equal to or less than 80.
(A) I only
(B) II only
(C) III only
(D) I and II
(E) I and III

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Current Student
Joined: 11 May 2008
Posts: 551
Re: coordinate geometry roman numerals  [#permalink]

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30 Jul 2008, 20:26
gmatnub i think the 2nd is ok. 1st one is C i feel.
Current Student
Joined: 11 May 2008
Posts: 551
Re: coordinate geometry roman numerals  [#permalink]

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31 Jul 2008, 11:44
is the ans ok guys??
Senior Manager
Joined: 04 Jan 2006
Posts: 276
Re: coordinate geometry roman numerals  [#permalink]

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Updated on: 31 Jul 2008, 12:42
In the xy-plane, line L passes through point (2,2). If the product of the x-intercept and y-intercept is negative, which of the following cannot be a point of L?
I. (-10, 1)
II. (10,5)
III. (10, -2)
(A) Only I
(B) Only II
(C) Only III
(D) I and II
(E) I and III

If the product of x-intercept and y-intercept is negative, then the slop of that line must be positive.
Slop (m) = (Y2-Y1) / (X2-X1)
I) (-10, 1) and (2,2), m = (1-2)/(-10-2) = -3/-12 = 1/4 This can be a point of L
II) (10, 5) and (2,2), m = (5-2)/(10-2) = 3/8 This can be a point of L
III) (10, -2) and (2,2), m = (-2-2)/(10-2) = -4/8 = -0.5 This cannot be a point of L

Originally posted by devilmirror on 31 Jul 2008, 12:30.
Last edited by devilmirror on 31 Jul 2008, 12:42, edited 1 time in total.
Senior Manager
Joined: 04 Jan 2006
Posts: 276
Re: coordinate geometry roman numerals  [#permalink]

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31 Jul 2008, 12:42
If 60 students took a test and the median score was 80, which of the following must be true?
I. At least 29 scores are greater than 80.
II. At least 30 scores are equal to or greater than 80.
III. At most 30 scores are equal to or less than 80.
(A) I only
(B) II only
(C) III only
(D) I and II
(E) I and III

Let's assume the possible scenario. All 60 students score 80.
I) At least 29 scores are greater than 80. False, because everyone scores 80.
II) At least 30 scores are equal to or greater than 80. True, because 60 students score 80.
III) At most 30 scores are equal to or less than 80. False, because 60 students score 80.

VP
Joined: 17 Jun 2008
Posts: 1279
Re: coordinate geometry roman numerals  [#permalink]

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03 Aug 2008, 06:41
arjtryarjtry wrote:
In the xy-plane, line L passes through point (2,2). If the product of the x-intercept and y-intercept is negative, which of the following cannot be a point of L?
I. (-10, 1)
II. (10,5)
III. (10, -2)
(A) Only I
(B) Only II
(C) Only III
(D) I and II
(E) I and III

heres another one

If 60 students took a test and the median score was 80, which of the following must be true?
I. At least 29 scores are greater than 80.
II. At least 30 scores are equal to or greater than 80.
III. At most 30 scores are equal to or less than 80.
(A) I only
(B) II only
(C) III only
(D) I and II
(E) I and III

First one its C => explanation :
consider y=mx+c =>Xin = -c/m ,Yin= c => product of two,say,p= -c^2/m => p is -ve => m=+ve
also 2,2 lies on the line y=mx+c => 2=2m+c =>m=c-2 / 2 =>
p=-((2 *c^2)/(c-2))=-ve => c-2 >0 => c>2

now consider I,II and III substitute these values in y=mx+c ,for III

-2=10m+c => c= -2-10m since m>0 c here is -ve which is not possible hence it cannot be a point on the given line

IMO C

II says :
At least 30 scores are equal to or greater than 80.

which means automatically median is 80

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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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Re: coordinate geometry roman numerals &nbs [#permalink] 03 Aug 2008, 06:41
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