NEW HERE? LEARN MORE
closeclose
Last visit was: 23 Apr 2024, 16:23 It is currently 23 Apr 2024, 16:23
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>b, is a>c? 1.a/b>c/b 2.5ab>6bc

User avatar
arun
Intern
Intern
Joined: 07 May 2003
Posts: 10
Own Kudos [?]: 2 [0]
Given Kudos: 0
Send PM
If a>b, is a>c? 1.a/b>c/b 2.5ab>6bc [#permalink] New post   08 May 2003, 16:26
If a>b, is a>c?

1.a/b>c/b

2.5ab>6bc



Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Quantitative Questions Forum
Still interested in this question? Check out the "Best Topics" block below for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
avatar
suneeta
Intern
Intern
Joined: 13 May 2003
Posts: 5
Own Kudos [?]: 2 [0]
Given Kudos: 0
Location: Portland, USA
Send PM
Re: If a>b, is a>c? 1.a/b>c/b 2.5ab>6bc [#permalink] New post   13 May 2003, 16:01
I think the answer is D, Either.

Multiplying or dividing both sides of an inequality gives an equivalent inequality.

Therefore

a/b>c/b is equivalent to a>c
AND
5ab>6bc is equivalent to 5a>6c or a>6/5c

Therefore

a>c in either case.
avatar
suneeta
Intern
Intern
Joined: 13 May 2003
Posts: 5
Own Kudos [?]: 2 [0]
Given Kudos: 0
Location: Portland, USA
Send PM
Re: If a>b, is a>c? 1.a/b>c/b 2.5ab>6bc [#permalink] New post   13 May 2003, 18:06
could someone explain the logic of E to me? I'm missing something obviously.....
User avatar
brstorewala
Manager
Manager
Joined: 28 Feb 2003
Posts: 50
Own Kudos [?]: 33 [0]
Given Kudos: 0
Send PM
Re: If a>b, is a>c? 1.a/b>c/b 2.5ab>6bc [#permalink] New post   13 May 2003, 19:50
Suneeta,

This is a very common trap.......if ab>ac, this does not imply that b>c.
here is the explanation

suppose a=1, b=3, c=2, which implies that ab>ac

in this case, b>c

however if a=-1, b=2 and c=3, which again implies that ab>ac

but in this case b is not greater than c

so it depends on the sign of the common variable on both sides. you can multiply or divide a variable on both sides of the inequality, only if you know the sign of an inequality. Remember, multiplying or dividing by a negative number changes the inequality sign.

hope that helps
avatar
suneeta
Intern
Intern
Joined: 13 May 2003
Posts: 5
Own Kudos [?]: 2 [0]
Given Kudos: 0
Location: Portland, USA
Send PM
Re: If a>b, is a>c? 1.a/b>c/b 2.5ab>6bc [#permalink] New post   14 May 2003, 09:11
Thanks a lot! That definitely helps...
User avatar
tzolkin
Intern
Intern
Joined: 12 Mar 2003
Posts: 40
Own Kudos [?]: 6 [0]
Given Kudos: 0
Send PM
Re: If a>b, is a>c? 1.a/b>c/b 2.5ab>6bc [#permalink] New post   Updated on: 16 May 2003, 11:51
Ans : E

Another way to look at it :

1)
if b is +ve then : a>c
if b is -ve then : c>a
Insuff

2)
if b+ve then : 5a > 6c
if b -ve then : 5a < 6c
Insuff

Combined : a/b*(1+5b^2) > c/b*(1+6b^2)

if b=1, then 6a>7c, thus a>c
if b=-1, then 6a<7c thus c couldbe greater than a
try with fractions are ans is insufficient
Insuff

Ans : E

Originally posted by tzolkin on 14 May 2003, 11:04.
Last edited by tzolkin on 16 May 2003, 11:51, edited 1 time in total.
User avatar
sparky
Senior Manager
Senior Manager
Joined: 18 Apr 2005
Posts: 321
Own Kudos [?]: 87 [0]
Given Kudos: 0
Location: Canuckland
Send PM
Re: If a>b, is a>c? 1.a/b>c/b 2.5ab>6bc [#permalink] New post   03 Jul 2005, 22:38
reusing the question...



Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Quantitative Questions Forum
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
GMAT Club Bot
gmatclubot
Re: If a>b, is a>c? 1.a/b>c/b 2.5ab>6bc [#permalink]
03 Jul 2005, 22:38
Moderator:
yashikaaggarwal
Senior Moderator - Masters Forum
3137 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