geometry question

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

Redeem

This topic has expert replies

Post new topic Post Reply

Previous Topic Next Topic

neoreaves: 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)

Quote

Source: Beat The GMAT — Data Sufficiency | Fri Apr 16, 2010 4:37 am

liferocks: 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?

Quote

eaakbari: 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

Quote

akhpad: 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