BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

geometry question

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
User avatar
Master | Next Rank: 500 Posts
Posts: 208
Joined: Sun Sep 28, 2008 12:30 pm
Thanked: 22 times

geometry question

by neoreaves » Fri Apr 16, 2010 4:37 am
Line m and n pass through point (1,2). Is the slope of m greater than the slope of n?

1.) the x-intercept of m is greater than 1 and that of n is less than 1

2.) the y-intercept of m = 4 and that of n = (-2)
Top
Source: — Data Sufficiency |
Legendary Member
Posts: 576
Joined: Sat Mar 13, 2010 8:31 pm
Thanked: 97 times
Followed by:1 members

by liferocks » Fri Apr 16, 2010 5:32 am
neoreaves wrote:Line m and n pass through point (1,2). Is the slope of m greater than the slope of n?

1.) the x-intercept of m is greater than 1 and that of n is less than 1

2.) the y-intercept of m = 4 and that of n = (-2)
IMO Ans D we can say from either of the statement

From 1--> Since x-intercept of m is greater than 1 and it passes through (1,2) it will have obtuse angle with x-axis .On the other hand x-intercept of n is less than 1 and it passes through (1,2) it will have acute angle with x-axis.
hence slope of m will be -ve and slope of n will be +ve
so slope of m < slope of n...(I am not considering absolute values here)-->sufficient

From2-->this provides two points on each of m and n.Hence we can calculate slope.-->sufficient

what is OA?
Top
User avatar
Master | Next Rank: 500 Posts
Posts: 435
Joined: Mon Mar 15, 2010 6:15 am
Thanked: 32 times
Followed by:1 members

by eaakbari » Fri Apr 16, 2010 11:40 am
IMO D
Whether you think you can or can't, you're right.
- Henry Ford
Top
Legendary Member
Posts: 809
Joined: Wed Mar 24, 2010 10:10 pm
Thanked: 50 times
Followed by:4 members

by akhpad » Sun Apr 18, 2010 7:47 am
I also agree D

Line m and n pass through point (1,2). Is the slope of m greater than the slope of n?
1.) the x-intercept of m is greater than 1 and that of n is less than 1
2.) the y-intercept of m = 4 and that of n = (-2)

Statement 1:
1 - 2/m > 1, m < 0
1 - 2/n < 1, n > 0
Sufficient

Statement 2:
2-m = 4, m = -2
2-n = -2, n = 4
Sufficient
Top
Newbie | Next Rank: 10 Posts
Posts: 8
Joined: Sat Apr 03, 2010 9:58 pm

by anoopprasad » Sun Apr 18, 2010 8:20 pm
Slope = (y2-y1) / (x2-x1) where x1,y1 and x2,y2 are 2 points on the line

From both statements we can see which has greater slope

So D
Top
Post new topic Post Reply
• Page 1 of 1