It is currently 23 Feb 2018, 00:53

Close

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
Your Progress

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

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

If 0 < a < b, is c < 0? 1.cb < ca 2.|c| > 1

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Expert Post
1 KUDOS received
SVP
SVP
User avatar
G
Joined: 08 Jul 2010
Posts: 1955
Location: India
GMAT: INSIGHT
WE: Education (Education)
Reviews Badge
If 0 < a < b, is c < 0? 1.cb < ca 2.|c| > 1 [#permalink]

Show Tags

New post 12 Nov 2015, 08:10
1
This post received
KUDOS
Expert's post
8
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

77% (01:00) correct 23% (01:11) wrong based on 279 sessions

HideShow timer Statistics

If 0 < a < b, is c < 0?
1.cb < ca
2.|c| > 1

http://www.GMATinsight.com
[Reveal] Spoiler: OA

_________________

Prosper!!!
GMATinsight
Bhoopendra Singh and Dr.Sushma Jha
e-mail: info@GMATinsight.com I Call us : +91-9999687183 / 9891333772
Online One-on-One Skype based classes and Classroom Coaching in South and West Delhi
http://www.GMATinsight.com/testimonials.html

22 ONLINE FREE (FULL LENGTH) GMAT CAT (PRACTICE TESTS) LINK COLLECTION

Current Student
avatar
S
Joined: 20 Mar 2014
Posts: 2683
Concentration: Finance, Strategy
Schools: Kellogg '18 (M)
GMAT 1: 750 Q49 V44
GPA: 3.7
WE: Engineering (Aerospace and Defense)
GMAT ToolKit User Premium Member Reviews Badge
Re: If 0 < a < b, is c < 0? 1.cb < ca 2.|c| > 1 [#permalink]

Show Tags

New post 12 Nov 2015, 08:29
GMATinsight wrote:
If 0 < a < b, is c < 0?
1.cb < ca
2.|c| > 1

http://www.GMATinsight.com


GIven , b>a , is c<0?

Per statement 1, cb<ca --> cb-ca<0---> c(b-a) < 0 only possible for c<0 as b>a --> b-a>0. Sufficient.

Per statement 2, |c| >1 ---> c<-1 or c>1, making this statement not sufficient.

A is thus the correct answer.
Expert Post
5 KUDOS received
SVP
SVP
User avatar
P
Joined: 11 Sep 2015
Posts: 2058
Location: Canada
Re: If 0 < a < b, is c < 0? 1.cb < ca 2.|c| > 1 [#permalink]

Show Tags

New post 12 Nov 2015, 08:35
5
This post received
KUDOS
Expert's post
1
This post was
BOOKMARKED
GMATinsight wrote:
If 0 < a < b, is c < 0?

1) cb < ca
2) |c| > 1


Slightly different solution:

Target question: Is c < 0?

Given: 0 < a < b

Statement 1: cb < ca
Subtract ca from both sides to get: cb - ca < 0
Factor: c(b - a) < 0
IMPORTANT: if a < b, we can be certain that (b - a) is POSITIVE.
So, we can divide both sides of the inequality by (b - a) to get: c < 0
PERFECT!
Since we can answer the target question with certainty, statement 1 is SUFFICIENT

Statement 2: |c| > 1
There are several values of c that satisfy statement 2. Here are two:
Case a: c = -2, in which case c < 0
Case b: c = 2, in which case c > 0
Since we cannot answer the target question with certainty, statement 2 is NOT SUFFICIENT

Answer = A

Cheers,
Brent
_________________

Brent Hanneson – Founder of gmatprepnow.com

Image

Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 13792
Premium Member
Re: If 0 < a < b, is c < 0? 1.cb < ca 2.|c| > 1 [#permalink]

Show Tags

New post 02 Mar 2017, 19:43
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________

GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

Re: If 0 < a < b, is c < 0? 1.cb < ca 2.|c| > 1   [#permalink] 02 Mar 2017, 19:43
Display posts from previous: Sort by

If 0 < a < b, is c < 0? 1.cb < ca 2.|c| > 1

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.