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

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In the xy-plane, line L passes through point (2,2). If the [#permalink] New post 30 Jul 2008, 17:58
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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Re: coordinate geometry roman numerals [#permalink] New post 30 Jul 2008, 19:26
gmatnub i think the 2nd is ok. 1st one is C i feel.
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Re: coordinate geometry roman numerals [#permalink] New post 31 Jul 2008, 10:44
is the ans ok guys??
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Re: coordinate geometry roman numerals [#permalink] New post 31 Jul 2008, 11:30
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

The answer is C.

Last edited by devilmirror on 31 Jul 2008, 11:42, edited 1 time in total.
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Re: coordinate geometry roman numerals [#permalink] New post 31 Jul 2008, 11:42
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.

B) is the answer.
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Re: coordinate geometry roman numerals [#permalink] New post 03 Aug 2008, 05:41
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


Second question B is answer
II says :
At least 30 scores are equal to or greater than 80.

which means automatically median is 80
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Re: coordinate geometry roman numerals   [#permalink] 03 Aug 2008, 05:41
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