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GRE Prep Club Team Member
Joined: 20 Feb 2017
Posts: 2508
Given Kudos: 1053
GPA: 3.39
A student draws 35 lines in the XY plane, none of which are vertical a
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02 Aug 2021, 01:40
02 Aug 2021, 01:40
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A student draws 35 lines in the XY plane, none of which are vertical and 15 of which have a positive slope. Of those with positive slope, 1/3 also have a positive Y-intercept. If 23 lines have a Y-intercept less than or equal to zero, how many lines contain no point in Quadrant I?
A: 0
B: 7
C: 13
D: 20
E: 35
A: 0
B: 7
C: 13
D: 20
E: 35
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A student draws 35 lines in the XY plane, none of which are vertical a
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02 Aug 2021, 08:12
02 Aug 2021, 08:12
1
1
GeminiHeat wrote:
A student draws 35 lines in the XY plane, none of which are vertical and 15 of which have a positive slope. Of those with positive slope, 1/3 also have a positive Y-intercept. If 23 lines have a Y-intercept less than or equal to zero, how many lines contain no point in Quadrant I?
A: 0
B: 7
C: 13
D: 20
E: 35
A: 0
B: 7
C: 13
D: 20
E: 35
Dear GeminiHeat
The question has already been posted in QCQ section.
https://gre.myprepclub.com/forum/a-student-draws-35-lines-in-the-xy-plane-none-of-which-are-vertical-22988.html#p71542
Retired Moderator
Joined: 19 Nov 2020
Posts: 326
Given Kudos: 64
GRE 1: Q160 V152
A student draws 35 lines in the XY plane, none of which are vertical a
[#permalink]
02 Aug 2021, 17:21
02 Aug 2021, 17:21
Initially, I wanted to use matrix. Then I see this question is simple 
To be not in quadrant I, the line must have negative slope or slope=0 with negative or zero y-intercept in both cases. It is 13, and answer must be C
23-2/3*(15)=13
To be not in quadrant I, the line must have negative slope or slope=0 with negative or zero y-intercept in both cases. It is 13, and answer must be C
23-2/3*(15)=13
GeminiHeat wrote:
A student draws 35 lines in the XY plane, none of which are vertical and 15 of which have a positive slope. Of those with positive slope, 1/3 also have a positive Y-intercept. If 23 lines have a Y-intercept less than or equal to zero, how many lines contain no point in Quadrant I?
A: 0
B: 7
C: 13
D: 20
E: 35
A: 0
B: 7
C: 13
D: 20
E: 35
