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

It is currently 26 May 2016, 03:51
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 f and g are both positive integers greater than 1

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

Hide Tags

Expert Post
1 KUDOS received
Moderator
Moderator
User avatar
Status: It always seems impossible until it's done!!
Joined: 29 Aug 2012
Posts: 627
Location: India
GMAT 1: 680 Q47 V34
Followers: 55

Kudos [?]: 805 [1] , given: 208

GMAT ToolKit User Premium Member Reviews Badge CAT Tests
If f and g are both positive integers greater than 1 [#permalink]

Show Tags

New post 25 Jul 2014, 11:00
1
This post received
KUDOS
Expert's post
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

70% (01:56) correct 30% (01:06) wrong based on 68 sessions

HideShow timer Statistics

If f and g are both positive integers greater than 1 and \(g^f = g^{(3f-6)}\), what is the value of fg ?

(1) g^2 = 2g

(2) g=2
[Reveal] Spoiler: OA

Last edited by Bunuel on 25 Jul 2014, 11:07, edited 1 time in total.
Edited the question
Expert Post
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 33007
Followers: 5753

Kudos [?]: 70524 [0], given: 9849

Re: If f and g are both positive integers greater than 1 [#permalink]

Show Tags

New post 25 Jul 2014, 11:13
Expert's post
If f and g are both positive integers greater than 1 and \(g^f = g^{(3f-6)}\), what is the value of fg ?

\(g^f = g^{(3f-6)}\) --> \(\frac{g^f}{g^{(3f-6)}}=1\) --> \(g^{f-3f+6} =1\) --> \(g^{6-2f}=1\). Since g>1, then \(6-2f=0\) --> \(f=3\). Thus to get the value of fg we need the value of g.

(1) g^2 = 2g --> \(g(g-2)=0\) --> g=0 (discard as g>1) or g=2 --> fg=3*2=6. Sufficient.

(2) g=2. Sufficient.

Answer; D.
_________________

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: 27 May 2014
Posts: 71
Followers: 0

Kudos [?]: 16 [0], given: 21

CAT Tests
Re: If f and g are both positive integers greater than 1 [#permalink]

Show Tags

New post 25 Jul 2014, 18:41
Bunuel can you explain the theory by dropping the g because g>1 and setting it equal to zero ?
Expert Post
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 33007
Followers: 5753

Kudos [?]: 70524 [0], given: 9849

Re: If f and g are both positive integers greater than 1 [#permalink]

Show Tags

New post 26 Jul 2014, 02:05
Expert's post
bankerboy30 wrote:
Bunuel can you explain the theory by dropping the g because g>1 and setting it equal to zero ?


For \(a^n\) to be 1, either \(a\) should be 1 or \(n\) should be 0:

\(a^0=1\): any nonzero number to the power of 0 is 1.
\(1^n=1\): the integer powers of one are one.

Check here for more: exponents-and-roots-on-the-gmat-tips-and-hints-174993.html

Hope it helps.
_________________

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

Re: If f and g are both positive integers greater than 1   [#permalink] 26 Jul 2014, 02:05
    Similar topics Author Replies Last post
Similar
Topics:
1 Experts publish their posts in the topic Is xy greater than 1, if x and y are both positive cv3t3l1na 2 23 Nov 2012, 08:41
10 Experts publish their posts in the topic Are positive integers p and q both greater than n ? zisis 18 14 Jul 2010, 13:40
1 Experts publish their posts in the topic Are positive integers j and k both greater than m? metallicafan 6 14 Dec 2011, 09:31
Are positive integers p and q both greater than n (1) p-q is Baten80 2 11 Jun 2011, 07:46
1 Experts publish their posts in the topic Are positive integers p and q both greater than n? faifai0714 3 01 Mar 2007, 00:59
Display posts from previous: Sort by

If f and g are both positive integers greater than 1

  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®.