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

It is currently 27 May 2016, 08:37
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 x and y are positive integers, is (4^x)(1/3)^y < 1?

  post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
Manager
Manager
avatar
Joined: 02 Jul 2004
Posts: 51
Followers: 0

Kudos [?]: 3 [0], given: 0

If x and y are positive integers, is (4^x)(1/3)^y < 1? [#permalink]

Show Tags

New post 22 Oct 2004, 13:25
00:00
A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions

HideShow timer Statistics

This topic is locked. If you want to discuss this question please re-post it in the respective forum.

If x and y are positive integers, is (4^x)(1/3)^y < 1?

(1) y = 2x
(2) y = 4

Again I dissagreed with the OA on this one ...
Intern
Intern
avatar
Joined: 21 Oct 2004
Posts: 12
Followers: 0

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

ans [#permalink]

Show Tags

New post 22 Oct 2004, 13:37
answer is C.

both are reqd.

solving y=4, x =2, expression is always < 1

by the way what is OA...............???? 8-)
_________________

peace out ........

Manager
Manager
avatar
Joined: 02 Jul 2004
Posts: 51
Followers: 0

Kudos [?]: 3 [0], given: 0

 [#permalink]

Show Tags

New post 22 Oct 2004, 13:47
OA was C

However I chose A.

If y = 2x, then equation becomes

4^x(1/3)^(2x) or 4^x(1/9)^x or (4/9)^x

To me (4/9)^x seems like it is going to be less than 1 for all positive x? Anyone else care to weight in?
Intern
Intern
avatar
Joined: 21 Oct 2004
Posts: 12
Followers: 0

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

dude [#permalink]

Show Tags

New post 22 Oct 2004, 13:52
what if x is -ve
(4/9)^(-1) > 1
_________________

peace out ........

Manager
Manager
avatar
Joined: 19 Jun 2004
Posts: 80
Followers: 1

Kudos [?]: 1 [0], given: 0

 [#permalink]

Show Tags

New post 22 Oct 2004, 13:53
I think is A


1) sufficient:

y=2x ... (a)

and:

4^x = 2^(2x) ... (b)

replacing (a) and (b) on the question: 2^(2x) * (1/3)^(2x)
= (2*1/3)^(2x)
= (2/3)^(2x)
because x is positive it'll always be <1

2) Insufficient

y =4 and x could be any number, resulting <1 and >1
Manager
Manager
avatar
Joined: 18 Sep 2004
Posts: 154
Location: Dallas, TX
Followers: 1

Kudos [?]: 6 [0], given: 0

 [#permalink]

Show Tags

New post 22 Oct 2004, 22:27
I also think it's A...

The question can be written as is (4^x)/(3^y) < 1

From A we get (4^x)/(3^(2x)) Since we know that x is a positive integer, any number we plug in will have the denominator greater than the numerator thus the expression is < 1

From B we only get Y don't know anything about X
Manager
Manager
avatar
Joined: 19 Jun 2004
Posts: 80
Followers: 1

Kudos [?]: 1 [0], given: 0

 [#permalink]

Show Tags

New post 23 Oct 2004, 08:14
mmm... interesting....

hey tyagel,

Is this question from the OG ?



:?: :? :?
  [#permalink] 23 Oct 2004, 08:14
Display posts from previous: Sort by

If x and y are positive integers, is (4^x)(1/3)^y < 1?

  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®.