Last visit was: 17 Jun 2024, 02:22 It is currently 17 Jun 2024, 02:22
Toolkit
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
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

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

SORT BY:
Tags:
Show Tags
Hide Tags
GMAT Club Legend
Joined: 08 Jul 2010
Status:GMAT/GRE Tutor l Admission Consultant l On-Demand Course creator
Posts: 6015
Own Kudos [?]: 13630 [29]
Given Kudos: 124
Location: India
GMAT: QUANT+DI EXPERT
Schools: IIM (A) ISB '24
GMAT 1: 750 Q51 V41
WE:Education (Education)
GMAT Club Legend
Joined: 12 Sep 2015
Posts: 6814
Own Kudos [?]: 30567 [15]
Given Kudos: 799
General Discussion
SVP
Joined: 20 Mar 2014
Posts: 2361
Own Kudos [?]: 3640 [0]
Given Kudos: 816
Concentration: Finance, Strategy
GMAT 1: 750 Q49 V44
GPA: 3.7
WE:Engineering (Aerospace and Defense)
Intern
Joined: 05 Jan 2017
Posts: 31
Own Kudos [?]: 50 [0]
Given Kudos: 17
Re: If 0 < a < b, is c < 0? 1.cb < ca 2.|c| > 1 [#permalink]
1) cb<ca
only possible if c is < 0, because a<b is given
so to make a>b, both a and b must be multiplied by any no which is smaller than 0
ex- 3<7
so when we multiply any negative no to both the sides and sign changes.
-6>-14
hence A is sufficient.
2)|c|> 1 given two conditions
c>1 and c<-1
not suff

Ans - (A)
Director
Joined: 09 Jan 2020
Posts: 958
Own Kudos [?]: 230 [0]
Given Kudos: 432
Location: United States
Re: If 0 < a < b, is c < 0? 1.cb < ca 2.|c| > 1 [#permalink]
GMATinsight wrote:
If 0 < a < b, is c < 0?
1.cb < ca
2.|c| > 1

https://www.GMATinsight.com

(1) $$cb - ca < 0$$
$$c(b-a) < 0$$
$$c < 0$$ or $$b < a$$

Since we're told in the question that a < b, we can conclude c < 0. SUFFICIENT.

(2) $$|c| > 1$$

$$c > 1$$ or $$c < -1$$

INSUFFICIENT.

Manager
Joined: 02 Mar 2020
Posts: 84
Own Kudos [?]: 20 [0]
Given Kudos: 24
Re: If 0 < a < b, is c < 0? 1.cb < ca 2.|c| > 1 [#permalink]
But if we assume the values of a & b as 1/4 and 1/2 and then take C = 2 as statement 1, we get contradicting answers thus A shouldn't be sufficient. What am I missing here?
Non-Human User
Joined: 09 Sep 2013
Posts: 33615
Own Kudos [?]: 838 [0]
Given Kudos: 0
Re: If 0 < a < b, is c < 0? 1.cb < ca 2.|c| > 1 [#permalink]
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.
Re: If 0 < a < b, is c < 0? 1.cb < ca 2.|c| > 1 [#permalink]
Moderator:
Math Expert
93704 posts