GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 19 Oct 2019, 20:58

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

If 0 < a < b, is c < 0? (1) cb < ca (2) a – b > c

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

Hide Tags

Find Similar Topics 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 58445
If 0 < a < b, is c < 0? (1) cb < ca (2) a – b > c  [#permalink]

Show Tags

New post 06 Jun 2017, 11:28
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

70% (01:34) correct 30% (01:30) wrong based on 163 sessions

HideShow timer Statistics

GMAT Club Legend
GMAT Club Legend
User avatar
V
Joined: 12 Sep 2015
Posts: 4009
Location: Canada
Re: If 0 < a < b, is c < 0? (1) cb < ca (2) a – b > c  [#permalink]

Show Tags

New post 06 Jun 2017, 13:37
1
Top Contributor
Bunuel wrote:
If 0 < a < b, is c < 0?

(1) cb < ca

(2) a – b > c


Target question: Is c < 0?

Given: 0 < a < b
If a < b, then we know that b - a > 0
In other words, b - a = some positive number
It also means that a - b = some negative number

Statement 1: cb < ca
Subtract ca from both sides to get: cb - ca < 0
Factor: c(b - a) < 0
So, c(some positive number) < 0
This means that c must be a negative number.
In other words, c < 0
Since we can answer the target question with certainty, statement 1 is SUFFICIENT

Statement 2: a – b > c
So, some negative number > c
If c is less than some negative number, then c must be a negative number.
In other words, c < 0
Since we can answer the target question with certainty, statement 2 is SUFFICIENT

Answer:

ASIDE: For statement 1, once we get to c(some positive number) < 0, we can also just divide both sides by some positive number to get c < 0

RELATED VIDEO

_________________
Test confidently with gmatprepnow.com
Image
CEO
CEO
User avatar
D
Status: GMATINSIGHT Tutor
Joined: 08 Jul 2010
Posts: 2978
Location: India
GMAT: INSIGHT
Schools: Darden '21
WE: Education (Education)
Reviews Badge
Re: If 0 < a < b, is c < 0? (1) cb < ca (2) a – b > c  [#permalink]

Show Tags

New post 06 Jun 2017, 23:34
Bunuel wrote:
If 0 < a < b, is c < 0?

(1) cb < ca

(2) a – b > c


Is c <0?

Statement 1: c(b-a)<0
But since b>a>0 so b-a will be positive
Hence c must be negative
Sufficient

Statement 2: a-b>c
a-b is negative as a<b
I.e. c<negative
Hence c is definitely negative
Sufficient

Answer Option D
_________________
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

ACCESS FREE GMAT TESTS HERE:22 ONLINE FREE (FULL LENGTH) GMAT CAT (PRACTICE TESTS) LINK COLLECTION
Target Test Prep Representative
User avatar
G
Status: Head GMAT Instructor
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2815
Re: If 0 < a < b, is c < 0? (1) cb < ca (2) a – b > c  [#permalink]

Show Tags

New post 06 Jul 2017, 17:05
1
Bunuel wrote:
If 0 < a < b, is c < 0?

(1) cb < ca

(2) a – b > c


We are given that 0 < a < b and we need to determine whether c is negative.

Statement One Alone:

cb < ca

Since we know that a and b are positive and that b is greater than a, we see that c must be negative. For example, if a = 2 and b = 3, in order for cb < ca, c could be -1, such that -3 < -2. Statement one alone is sufficient to answer the question.

Statement Two Alone:

a – b > c

Since a is less than b and they are both positive, (a - b) must be negative; thus, we have:

Negative number > c

Since c is less than some negative number, c is also negative. Statement two is sufficient to answer the question.

Answer: D
_________________

Jeffrey Miller

Head of GMAT Instruction

Jeff@TargetTestPrep.com
TTP - Target Test Prep Logo
122 Reviews

5-star rated online GMAT quant
self study course

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

If you find one of my posts helpful, please take a moment to click on the "Kudos" button.

Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 13277
Re: If 0 < a < b, is c < 0? (1) cb < ca (2) a – b > c  [#permalink]

Show Tags

New post 26 Aug 2018, 03:11
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 Club Bot
Re: If 0 < a < b, is c < 0? (1) cb < ca (2) a – b > c   [#permalink] 26 Aug 2018, 03:11
Display posts from previous: Sort by

If 0 < a < b, is c < 0? (1) cb < ca (2) a – b > c

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





cron

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