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

Oldest

Best Reply

Author

Message

TAGS:

Senior Manager

Joined: 27 Aug 2005

Posts: 333

Location: Montreal, Canada

Followers: 2

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

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

09 Sep 2005, 22:54

00:00

Question Stats:

0% (00:00) correct

0% (00:00) wrong

based on 0 sessions

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

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

Please show work. Thanks a bunch!

Intern

Joined: 04 Sep 2005

Posts: 4

Followers: 0

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

[#permalink]

10 Sep 2005, 03:47

Should be A

y=2x --> 4^x . (1/3)^2x = 4^x. (1/3)^x. (1/3)^x = 4^x. (1/9)^x =
(4/9)^x

4/9 is less than 1 and x a positive integer (bigger than 0) than (4/9)^x is always less than 1. So it is sufficient.

Statement 2 insufficient because x can be much bigger then y and the product may be bigger or smaller than 1.

Answer is A.

Manager

Joined: 26 Jun 2005

Posts: 122

Followers: 2

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

[#permalink]

19 Sep 2005, 14:18

I go with A - 4^x * (1/3)^X

Statement 1 - we know that x and y are integers. Sub. 2x in for y

4^x * (1/3^2x) no matter what number you plug in for x a fraction will result....therefore sufficient.

Statement 2 - No info about X....insufficient
_________________

Chet

Director

Joined: 15 Aug 2005

Posts: 810

Location: Singapore

Followers: 2

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

[#permalink]

19 Sep 2005, 20:30

As both X and Y are positive integers, statement 1 aloneis sufficient

If Y= 2X then we have one variable. Irrespective of the value of X (as its a positive integer), the product will be less than 1.

So the answer is A.
_________________

Cheers, Rahul.

Senior Manager

Joined: 15 Aug 2005

Posts: 258

Location: Las Vegas, NV

Followers: 2

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

[#permalink]

20 Sep 2005, 09:16

A as well here. Statement one will give always no.

[#permalink] 20 Sep 2005, 09:16

	Similar topics	Author	Replies	Last post
Similar Topics:	If x and y are positive integers, is (4^x)(1/3)^y < 1?	tyagel	6	22 Oct 2004, 13:25
	x and y are positive integers, is X^y <= Y^x? 1. X = y^2	M8	4	14 Aug 2006, 23:05
	X and Y are positive integers. If 1/x + 1/y < 2, which of	bmwhype2	12	22 Nov 2007, 05:34
	If x,y,z are positive integers and x<y<z, x = ? (1)	vd	4	03 Jun 2008, 22:47
	If x and y are positive integers, is 5x(1/4)y < 1 ? (1) y	gmatcraze	2	25 Aug 2008, 08:17

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

Main navigation

GMAT Resources

Partners

MBA Resources

GMAT ® is a registered trademark of the Graduate Management Admission Council ® (GMAC ®). GMAT Club's website has not been reviewed or endorsed by GMAC.

GMAT Courses

Admissions Consulting

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

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

Main navigation

GMAT Resources

Partners

MBA Resources