NEW HERE? LEARN MORE
closeclose
Last visit was: 25 Apr 2024, 10:35 It is currently 25 Apr 2024, 10:35
Decision Tracker
My Rewards
New posts
New comers' posts

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.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel

If a < 0 and ab ≠ 0, is b > 0?

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
L
chetan2u
RC & DI Moderator
Joined: 02 Aug 2009
Status:Math and DI Expert
Posts: 11178
Own Kudos [?]: 31925 [9]
Given Kudos: 290
Send PM
Reviews Badge
If a < 0 and ab ≠ 0, is b > 0? [#permalink] New post   07 Jun 2018, 05:17
2
Kudos
7
Bookmarks
Expert Reply
00:00
A
B
C
D
E

Difficulty:

55% (hard)

Question Stats:

58% (01:57) correct 42% (02:02) wrong based on 133 sessions
Hide Show timer Statistics
If a < 0 and \(ab\neq{0}\), is b>0?


(1) \(\frac{a+b}{b}>1\)

(2) \(|a|\leq{-b}\)


self made
ShowHide Answer
Official Answer
D
avatar
B
rakeshmishra5690
Intern
Intern
Joined: 18 May 2016
Posts: 28
Own Kudos [?]: 26 [3]
Given Kudos: 5
Send PM
Re: If a < 0 and ab ≠ 0, is b > 0? [#permalink] New post   07 Jun 2018, 07:36
1
Kudos
2
Bookmarks
IMO Ans is D

we know a<0

1) (a+b)/b>1
if b>0
a+b>b
a>0 not possible
if b<0
a+b<b
a<0
sufficient

2) |a|<=-b
as we know a<0
-a<=-b
a>=b
so b<0
sufficient
avatar
B
karnaidu
Intern
Intern
Joined: 23 Jun 2015
Posts: 22
Own Kudos [?]: 12 [0]
Given Kudos: 27
Send PM
Re: If a < 0 and ab ≠ 0, is b > 0? [#permalink] New post   07 Jun 2018, 09:20
chetan2u wrote:
If a<0 and \(ab\neq{0}\), is b>0?
(1) \(\frac{a+b}{b}>1\)
(2) \(|a|\leq{-b}\)


self made



From statement 1 ..
a/b +1 >1 , so here a/b should be positive to satisfy this equation . As a < 0 , b must be < 0 . Sufficient
From statement 2 ..
modulus always results in positive value . So b should be negative . Sufficient .

So final answer is D . Please let me know for any concerns .. Thank you !!
User avatar
L
chetan2u
RC & DI Moderator
Joined: 02 Aug 2009
Status:Math and DI Expert
Posts: 11178
Own Kudos [?]: 31925 [0]
Given Kudos: 290
Send PM
Reviews Badge
Re: If a < 0 and ab ≠ 0, is b > 0? [#permalink] New post   14 Jun 2018, 07:08
Expert Reply
chetan2u wrote:
If a < 0 and \(ab\neq{0}\), is b>0?


(1) \(\frac{a+b}{b}>1\)

(2) \(|a|\leq{-b}\)


self made


Given...
a<0,
\(ab\neq{0}\), so \(b\neq{0}\) and \(a\neq{0}\)..

Statement 1..
\(\frac{a+b}{b}>1\).....
\(\frac{a+b}{b}>1..........\frac{a}{b}+\frac{b}{b}>1.........\frac{a}{b}+1>1.........\frac{a}{b}>0\)..
So both a and b are of SAME sign....
a<0, do b is also <0..
Ans NO
Sufficient

Statement II
\(|a|\leq{-b}\)
Modulus is always positive so |a| is positive and since -b>=|a|, -b>0 or b<0
Therefore Ans is again NO
Sufficient

D
avatar
skal1908
Intern
Intern
Joined: 05 Dec 2017
Posts: 1
Own Kudos [?]: 0 [0]
Given Kudos: 1
Send PM
Re: If a < 0 and ab ≠ 0, is b > 0? [#permalink] New post   15 Jun 2018, 08:18
chetan2u wrote:
chetan2u wrote:
If a < 0 and \(ab\neq{0}\), is b>0?


(1) \(\frac{a+b}{b}>1\)

(2) \(|a|\leq{-b}\)


self made


Given...
a<0,
\(ab\neq{0}\), so \(b\neq{0}\) and \(a\neq{0}\)..

Statement 1..
\(\frac{a+b}{b}>1\).....
\(\frac{a+b}{b}>1..........\frac{a}{b}+\frac{b}{b}>1.........\frac{a}{b}+1>1.........\frac{a}{b}>0\)..
So both a and b are of SAME sign....
a<0, do b is also <0..
Ans NO
Sufficient

Statement II
\(|a|\leq{-b}\)
Modulus is always positive so |a| is positive and since -b>=|a|, -b>0 or b<0
Therefore Ans is again NO
Sufficient

D



Could you explain the absolute value statement? I can't seem to understand how it works... My brain is so confused when I see an equation with an absolute value
GMAT Club Bot
gmatclubot
Re: If a < 0 and ab ≠ 0, is b > 0? [#permalink]
15 Jun 2018, 08:18
Moderator:
Bunuel
Math Expert
92914 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions