Find all School-related info fast with the new School-Specific MBA Forum

 It is currently 27 Mar 2015, 20:10

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# A , B , and C are points on the plane. Is AB \lt 10 ? 1. AC

Author Message
TAGS:
Manager
Joined: 22 May 2007
Posts: 219
Followers: 2

Kudos [?]: 35 [0], given: 0

A , B , and C are points on the plane. Is AB \lt 10 ? 1. AC [#permalink]  07 Jul 2008, 07:57
00:00

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions
A , B , and C are points on the plane. Is AB \lt 10 ?

1. AC + BC = 10
2. AB + AC \gt 10
Director
Joined: 01 Jan 2008
Posts: 629
Followers: 3

Kudos [?]: 138 [0], given: 1

Re: DS- Good one [#permalink]  07 Jul 2008, 08:01
aaron22197 wrote:
A , B , and C are points on the plane. Is AB \lt 10 ?

1. AC + BC = 10
2. AB + AC \gt 10

E: if A, C, B are on the same line and C is between A and B: AC = 4, BC = 6 (for example) -> AB = 10
if A, B and C are not on the same line than AB < AC + BC = 10
Senior Manager
Joined: 19 Mar 2008
Posts: 354
Followers: 1

Kudos [?]: 25 [0], given: 0

Re: DS- Good one [#permalink]  07 Jul 2008, 08:07
aaron22197 wrote:
A , B , and C are points on the plane. Is AB \lt 10 ?

1. AC + BC = 10
2. AB + AC \gt 10

Three points must be able to form a triangle.

(1) As a rule, the sum of length of the two shorter sides of a triangle must be greater than that of the longest side.
Assume AB is the longest side, AB < AC + BC = 10
Assume AB is the 2nd longest side, AB < AC + BC = 10
Assume AB is the shortest side, AB < AC + BC = 10
===> sufficient

(2) Given AB + AC >10. AB can be any number > 0.
===> insufficient
Current Student
Joined: 28 Dec 2004
Posts: 3392
Location: New York City
Schools: Wharton'11 HBS'12
Followers: 13

Kudos [?]: 180 [0], given: 2

Re: DS- Good one [#permalink]  07 Jul 2008, 08:10
what if they are just points on the x-axis?? how do you know its a triangle?

judokan wrote:
aaron22197 wrote:
A , B , and C are points on the plane. Is AB \lt 10 ?

1. AC + BC = 10
2. AB + AC \gt 10

Three points must be able to form a triangle.

(1) As a rule, the sum of length of the two shorter sides of a triangle must be greater than that of the longest side.
Assume AB is the longest side, AB < AC + BC = 10
Assume AB is the 2nd longest side, AB < AC + BC = 10
Assume AB is the shortest side, AB < AC + BC = 10
===> sufficient

(2) Given AB + AC >10. AB can be any number > 0.
===> insufficient
Current Student
Joined: 28 Dec 2004
Posts: 3392
Location: New York City
Schools: Wharton'11 HBS'12
Followers: 13

Kudos [?]: 180 [0], given: 2

Re: DS- Good one [#permalink]  07 Jul 2008, 08:12
I agree with E as well..same reasoning..i dont know if these points are triangle or just a numberline..

maratikus wrote:
aaron22197 wrote:
A , B , and C are points on the plane. Is AB \lt 10 ?

1. AC + BC = 10
2. AB + AC \gt 10

E: if A, C, B are on the same line and C is between A and B: AC = 4, BC = 6 (for example) -> AB = 10
if A, B and C are not on the same line than AB < AC + BC = 10
Manager
Joined: 08 Jun 2008
Posts: 70
Followers: 1

Kudos [?]: 3 [0], given: 0

Re: DS- Good one [#permalink]  07 Jul 2008, 08:17
I agree with E. I just did on one of the challenges.
Don't think of it as a triangle problem.
Intern
Joined: 01 Jul 2008
Posts: 41
Followers: 1

Kudos [?]: 9 [0], given: 20

Re: DS- Good one [#permalink]  07 Jul 2008, 08:45
Lets consider A B C are on the same line as A-C-B,

then AB=AC+BC=10, hence AB not less than 10.

For any other scenario apart from the above one, AB<10 holds true. Thus data is not sufficient in point 1 to determine AB<10.

Hence E.
Re: DS- Good one   [#permalink] 07 Jul 2008, 08:45
Similar topics Replies Last post
Similar
Topics:
If A ,B , and C are points on the plane, is AB < 10 ? 7 04 Aug 2010, 19:35
If A, B, C are points on a plane, is AB >15? 1) BC + 3 12 Apr 2010, 06:47
A, B, and C are points on the plane. Is AB > 15 ? 1) BC + 2 29 Nov 2008, 15:03
A, B, and C are points on the plane. Is AB > 15 ? 1. BC + 2 23 Mar 2008, 12:38
A B C are points on a plane. Is AB>15? 1. BC + AC > 14 2 28 Dec 2007, 09:55
Display posts from previous: Sort by