GMAT Question of the Day: Daily via email | Daily via Instagram New to GMAT Club? Watch this Video

It is currently 26 Jan 2020, 20:41

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 5a > 6b, is a greater than zero?

  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: 60646
If 5a > 6b, is a greater than zero?  [#permalink]

Show Tags

New post 29 Apr 2016, 03:51
00:00
A
B
C
D
E

Difficulty:

  75% (hard)

Question Stats:

44% (02:09) correct 56% (02:25) wrong based on 39 sessions

HideShow timer Statistics

Current Student
User avatar
B
Status: It`s Just a pirates life !
Joined: 21 Mar 2014
Posts: 226
Location: India
Concentration: Strategy, Operations
GMAT 1: 690 Q48 V36
GPA: 4
WE: Consulting (Manufacturing)
Reviews Badge
Re: If 5a > 6b, is a greater than zero?  [#permalink]

Show Tags

New post 30 Apr 2016, 04:42
Bunuel wrote:
If 5a > 6b, is a greater than zero?

(1) a > b
(2) 4b – 5a = 24


It was tough for me...got confused in the middle ...can u pls explain?
_________________
Aiming for a 3 digit number with 7 as hundredths Digit
Math Expert
avatar
V
Joined: 02 Aug 2009
Posts: 8336
If 5a > 6b, is a greater than zero?  [#permalink]

Show Tags

New post 30 Apr 2016, 04:53
1
Balajikarthick1990 wrote:
Bunuel wrote:
If 5a > 6b, is a greater than zero?

(1) a > b
(2) 4b – 5a = 24


It was tough for me...got confused in the middle ...can u pls explain?


Hi,
it is slightly tough

Bunuel wrote:
If 5a > 6b, is a greater than zero?

(1) a > b
(2) 4b – 5a = 24


5a>6b...
(1) a > b
a=8, and b=4.. satisfies both equation and a>0
a=-2, and b=-3.. again satisfies both equation and a<0..
so different answers
Insuff

(2) 4b – 5a = 24
now 5a>6b or 6b-5a<0.. OR 2b+4b-5a <0..
we know from this statement that 4b-5a = 24,
substitute this value in 2b+4b-5a<0.
SO 2b+24<0..or 2b<-24 and b<-12..
Now initial equation is 4b-5a=24 ,
5a = 4b-24...lets take max value as b=-12 although it is even <-12
5a= 4*-12 -24 =-48-24=-72 so a<0
Suff

B
_________________
SVP
SVP
User avatar
V
Joined: 26 Mar 2013
Posts: 2344
Concentration: Operations, Strategy
Schools: Erasmus '21 (M$)
Reviews Badge
Re: If 5a > 6b, is a greater than zero?  [#permalink]

Show Tags

New post 30 Apr 2016, 05:40
chetan2u wrote:
Balajikarthick1990 wrote:
Bunuel wrote:
If 5a > 6b, is a greater than zero?

(1) a > b
(2) 4b – 5a = 24


It was tough for me...got confused in the middle ...can u pls explain?


Hi,
it is slightly tough

Bunuel wrote:
If 5a > 6b, is a greater than zero?

(1) a > b
(2) 4b – 5a = 24


5a>6b...
(1) a > b
a=8, and b=4.. satisfies both equation and a>0
a=-2, and b=-3.. again satisfies both equation and a<0..
so different answers
Insuff

(2) 4b – 5a = 24
now 5a>6b or 6b-5a<0.. OR 2b+4b-5a <0..
we know from this statement that 4b-5a = 24,
substitute this value in 2b+4b-5a<0.
SO 2b+24<0..or 2b<-24 and a<-48..
so a<0
Suff

B


Hi,
Thank for your help

I do not understand how a<-48

if, for example, a=-50 & b=-15 which invalidates the condition that 5a>6b

If 2b<-24...... b<-12, if substitute in 5a>6b.........5a> 6 (-12) then a can take any value -ve or 0 or+ve

Do I miss something?
Math Expert
avatar
V
Joined: 02 Aug 2009
Posts: 8336
Re: If 5a > 6b, is a greater than zero?  [#permalink]

Show Tags

New post 30 Apr 2016, 06:03
1
Mo2men wrote:
Hi,
Thank for your help

I do not understand how a<-48

if, for example, a=-50 & b=-15 which invalidates the condition that 5a>6b

If 2b<-24...... b<-12, if substitute in 5a>6b.........5a> 6 (-12) then a can take any value -ve or 0 or+ve

Do I miss something?


Hi,
there was a typo in solution..
now b<-12..
statement II says 4b-5a = 24..
so 5a = 4b-24..
if b <-12, 4b will also be -ive and it is added to another -ive number -24 so 5a will be -ive and hence a<0..
try with max value, although slightly more than -12, so b=-12..
5a = 4*-12-24=-72. ... so MAX value of a is -72 HENCE a<0..
suff

Hope it helps
_________________
Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 14014
Re: If 5a > 6b, is a greater than zero?  [#permalink]

Show Tags

New post 14 Jan 2020, 19:21
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 5a > 6b, is a greater than zero?   [#permalink] 14 Jan 2020, 19:21
Display posts from previous: Sort by

If 5a > 6b, is a greater than zero?

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





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