Find all School-related info fast with the new School-Specific MBA Forum

It is currently 26 Sep 2016, 00:10
GMAT Club Tests

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.

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

If a and b are non-zero integers, and a/b > 1, then which of

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

Hide Tags

2 KUDOS received
Director
Director
avatar
Joined: 29 Nov 2012
Posts: 900
Followers: 14

Kudos [?]: 913 [2] , given: 543

If a and b are non-zero integers, and a/b > 1, then which of [#permalink]

Show Tags

New post 21 Jun 2013, 22:26
2
This post received
KUDOS
6
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

56% (02:14) correct 44% (00:57) wrong based on 304 sessions

HideShow timer Statistics

If a and b are non-zero integers, and a/b > 1, then which of the following must be true?

A. a > b
B. 2a > b
C. a^2< b^2
D. ab > b
E. a^3 < b^3
[Reveal] Spoiler: OA

_________________

Click +1 Kudos if my post helped...

Amazing Free video explanation for all Quant questions from OG 13 and much more http://www.gmatquantum.com/og13th/

GMAT Prep software What if scenarios http://gmatclub.com/forum/gmat-prep-software-analysis-and-what-if-scenarios-146146.html


Last edited by fozzzy on 22 Jun 2013, 00:34, edited 3 times in total.
Manager
Manager
avatar
Status: Trying.... & desperate for success.
Joined: 17 May 2012
Posts: 78
Location: India
Concentration: Leadership, Entrepreneurship
Schools: NUS '15
GMAT 1: Q33 V27
GPA: 2.92
WE: Analyst (Computer Software)
Followers: 0

Kudos [?]: 66 [0], given: 61

Re: If a and b are non-zero integers, and , then which of the fo [#permalink]

Show Tags

New post 21 Jun 2013, 22:55
fozzzy wrote:
If a and b are non-zero integers, and , then which of the following must be true?

\(a>b\)

\(2a>b\)

\(a^2< b^2\)

\(ab> b\)

\(a^3 < b^3\)


A & B are non zero integers then,
a>b .. Assume a = 10 & b = 20. Not true2a>b.. assume a = 10 and b =40
20>40?? Not true.

B^2 > a^2. assume a = 5 and b = 2.
4 > 25?? Not true

ab > b assume a = -3 and b =7
-21>7?? Not true

a^3 < b^3.. assume a = 3 and b = 2
9 < 8??
Not true.
I guess question is not correctly worded or i am making a mistake somewhere.
Director
Director
avatar
Joined: 29 Nov 2012
Posts: 900
Followers: 14

Kudos [?]: 913 [0], given: 543

Re: If a and b are non-zero integers, and , then which of the fo [#permalink]

Show Tags

New post 21 Jun 2013, 23:12
navigator123 wrote:
fozzzy wrote:
If a and b are non-zero integers, and , then which of the following must be true?

\(a>b\)

\(2a>b\)

\(a^2< b^2\)

\(ab> b\)

\(a^3 < b^3\)


A & B are non zero integers then,
a>b .. Assume a = 10 & b = 20. Not true2a>b.. assume a = 10 and b =40
20>40?? Not true.

B^2 > a^2. assume a = 5 and b = 2.
4 > 25?? Not true

ab > b assume a = -3 and b =7
-21>7?? Not true

a^3 < b^3.. assume a = 3 and b = 2
9 < 8??
Not true.
I guess question is not correctly worded or i am making a mistake somewhere.


Sorry I have updated the question!
_________________

Click +1 Kudos if my post helped...

Amazing Free video explanation for all Quant questions from OG 13 and much more http://www.gmatquantum.com/og13th/

GMAT Prep software What if scenarios http://gmatclub.com/forum/gmat-prep-software-analysis-and-what-if-scenarios-146146.html

Expert Post
5 KUDOS received
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 34833
Followers: 6482

Kudos [?]: 82630 [5] , given: 10108

Re: If a and b are non-zero integers, and a/b > 1, then which of [#permalink]

Show Tags

New post 22 Jun 2013, 13:43
5
This post received
KUDOS
Expert's post
If a and b are non-zero integers, and a/b > 1, then which of the following must be true?

A. a > b
B. 2a > b
C. a^2< b^2
D. ab > b
E. a^3 < b^3

If b is positive, then we have that a>b>0.
If b is negative, then we have that a<b<0.

A. a > b. Not necessarily true.

B. 2a > b. Not necessarily true.

C. a^2< b^2 --> |a|<|b|. Not necessarily true.

D. ab > b. If a>b>0, then ab>b (the product of two positive integers is obviously greater than either one of them) and if a<b<0, then ab=positive>negative=b. So, this statement is always true.

E. a^3 < b^3 --> a<b. Not necessarily true.

Answer: D.

Hope it's clear.
_________________

New to the Math Forum?
Please read this: All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Current Student
avatar
Joined: 03 Aug 2012
Posts: 916
Concentration: General Management, General Management
GMAT 1: 630 Q47 V29
GMAT 2: 680 Q50 V32
GPA: 3.7
WE: Information Technology (Investment Banking)
Followers: 22

Kudos [?]: 626 [0], given: 322

Premium Member
Re: If a and b are non-zero integers, and a/b > 1, then which of [#permalink]

Show Tags

New post 25 Jul 2013, 11:55
Bunuel wrote:
If a and b are non-zero integers, and a/b > 1, then which of the following must be true?

A. a > b
B. 2a > b
C. a^2< b^2
D. ab > b
E. a^3 < b^3

If b is positive, then we have that a>b>0.
If b is negative, then we have that a<b<0.

A. a > b. Not necessarily true.

B. 2a > b. Not necessarily true.

C. a^2< b^2 --> |a|<|b|. Not necessarily true.

D. ab > b. If a>b>0, then ab>b (the product of two positive integers is obviously greater than either one of them) and if a<b<0, then ab=positive>negative=b. So, this statement is always true.

E. a^3 < b^3 --> a<b. Not necessarily true.

Answer: D.

Hope it's clear.



I Aspire to learn even 10% of the approaches you use to solve a math question.

Rgds,
TGC !!
_________________

Rgds,
TGC!
_____________________________________________________________________
I Assisted You => KUDOS Please
_____________________________________________________________________________

Current Student
User avatar
Joined: 06 Sep 2013
Posts: 2035
Concentration: Finance
GMAT 1: 770 Q0 V
Followers: 55

Kudos [?]: 538 [0], given: 355

GMAT ToolKit User
Re: If a and b are non-zero integers, and a/b > 1, then which of [#permalink]

Show Tags

New post 01 Jan 2014, 07:56
fozzzy wrote:
If a and b are non-zero integers, and a/b > 1, then which of the following must be true?

A. a > b
B. 2a > b
C. a^2< b^2
D. ab > b
E. a^3 < b^3


Yeah very good question a bit complicated, maybe I took the long way home but let's see

We get a-b/b > 0

One has to scenarios

1) If a-b>0, then b>0, therefore a>0. So all in all a>b>0
2) If a-b<0, then b<0, therefore a<0. So all in all 0>b>a

Let's check out the answer choices

A. a > b Not always true, could be scenario 2
B. 2a > b Not true at all
C. a^2< b^2 Too many different possibilities
D. ab > b This is equal to b(a-1)>0

Now we have two scenarios as well

If b>0, then a>1. Note that we are told that a.b are integers. Therefore b>0 means that b has to be 1 at least and therefore a>1.
If b<0, then a<-1. Same as above

So it works for both of our scenarios

E. a^3 < b^3 This is the same as to say b>a, which is not always true

Hence answer is D

Hope it helps

Kudos rain!!! [/quote]
1 KUDOS received
Manager
Manager
User avatar
Affiliations: CrackVerbal
Joined: 03 Oct 2013
Posts: 245
Location: India
GMAT 1: 780 Q51 V46
Followers: 48

Kudos [?]: 198 [1] , given: 5

Re: If a and b are non-zero integers, and a/b > 1, then which of [#permalink]

Show Tags

New post 02 Jan 2014, 03:14
1
This post received
KUDOS
fozzzy wrote:
If a and b are non-zero integers, and a/b > 1, then which of the following must be true?

A. a > b
B. 2a > b
C. a^2< b^2
D. ab > b
E. a^3 < b^3


Lets plug in here

a = -3, b = -2
A - Eliminated
B - Eliminated
C - Eliminated
D - True
E - Eliminated
_________________

Unlock a set of 15 strategy videos that can help you plan your GMAT prep better! Sign up here to get complete access: https://goo.gl/OyUtLO

Do you find yourself struggling with questions on Permutations and Combinations? Attend this webinar to learn quick and non-formulae approach to counting methods! Register here: https://goo.gl/kJ7na7

For more info on GMAT and MBA, follow us on @AskCrackVerbal

Intern
Intern
avatar
Joined: 13 Dec 2013
Posts: 40
Schools: Fuqua (I), AGSM '16
GMAT 1: 620 Q42 V33
Followers: 2

Kudos [?]: 14 [0], given: 10

GMAT ToolKit User
Re: If a and b are non-zero integers, and a/b > 1, then which of [#permalink]

Show Tags

New post 08 Jun 2014, 08:35
If a = 0.5 and b = 0.1

Then a/b = 0.5/0.1 = 5

When I tried to plug in the values into the d) option I got a*b = (0.5)(0.1) = 0.05 which isn't greater than b = 0.1

So option D also wouldn't hold true.

Am I doing something wrong?
Expert Post
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 34833
Followers: 6482

Kudos [?]: 82630 [0], given: 10108

Re: If a and b are non-zero integers, and a/b > 1, then which of [#permalink]

Show Tags

New post 08 Jun 2014, 10:24
Enael wrote:
If a = 0.5 and b = 0.1

Then a/b = 0.5/0.1 = 5

When I tried to plug in the values into the d) option I got a*b = (0.5)(0.1) = 0.05 which isn't greater than b = 0.1

So option D also wouldn't hold true.

Am I doing something wrong?


Yes. We are told that a and b are non-zero integers.
_________________

New to the Math Forum?
Please read this: All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Manager
Manager
avatar
Joined: 07 Dec 2009
Posts: 111
GMAT Date: 12-03-2014
Followers: 0

Kudos [?]: 27 [0], given: 374

GMAT ToolKit User Premium Member
Re: If a and b are non-zero integers, and a/b > 1, then which of [#permalink]

Show Tags

New post 05 Jan 2015, 11:18
I guess the best approach here would be to Plug in values...
Try a=-3 and b = -2

All get eliminated except for D
GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 09 Sep 2013
Posts: 11677
Followers: 527

Kudos [?]: 143 [0], given: 0

Premium Member
Re: If a and b are non-zero integers, and a/b > 1, then which of [#permalink]

Show Tags

New post 02 Feb 2016, 14:04
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 Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

Re: If a and b are non-zero integers, and a/b > 1, then which of   [#permalink] 02 Feb 2016, 14:04
    Similar topics Author Replies Last post
Similar
Topics:
2 Experts publish their posts in the topic If a and b are integers, a>b, a>b, a^2*b^2=144 and (a−b)^2=1 leeto 6 13 Mar 2016, 05:25
9 Experts publish their posts in the topic If -|x+1| = b, where b is a non-zero integer, which of the following s hubahuba 6 07 Jan 2015, 21:09
1 If the LCM of two integers a, b (where b> a and a>1) is a*b, then whi manpreetsingh86 4 19 Nov 2014, 01:44
3 Experts publish their posts in the topic If AB/7 > 1/14 and A = B, which of the following must be gre Conquistador22 8 19 Feb 2014, 02:10
10 Experts publish their posts in the topic If a and b are nonzero integers, which of the following must kingflo 3 20 Jul 2013, 10:12
Display posts from previous: Sort by

If a and b are non-zero integers, and a/b > 1, then which of

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


GMAT Club MBA Forum Home| About| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group and phpBB SEO

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.