Summer is Coming! Join the Game of Timers Competition to Win Epic Prizes. Registration is Open. Game starts Mon July 1st.

It is currently 22 Jul 2019, 15:45

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.

Close

Request Expert Reply

Confirm Cancel

If x and y are positive integers, is (x/y)^z > 1 ?

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

Hide Tags

Find Similar Topics 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 56357
If x and y are positive integers, is (x/y)^z > 1 ?  [#permalink]

Show Tags

New post 20 Aug 2018, 01:11
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

67% (01:24) correct 33% (01:33) wrong based on 67 sessions

HideShow timer Statistics


Manager
Manager
User avatar
S
Joined: 20 Jul 2018
Posts: 87
GPA: 2.87
If x and y are positive integers, is (x/y)^z > 1 ?  [#permalink]

Show Tags

New post 20 Aug 2018, 01:20
2
1) as \(x-y=-5\), it means that y is greater than x, so \(x/y\) is less than 1 but as z is unknown u can't determine whether \((x/y)^z\) is less than or greater than 1. e.g if z is positive then \((x/y)^z\) is less than 1, if z is negative then \((x/y)^z\) is greater than 1. INSUFFICIENT

2) still no clue whether z is positive or negative. INSUFFICIENT

by combining both provide no extra information either.

Answer is E
_________________
Hasnain Afzal

"When you wanna succeed as bad as you wanna breathe, then you will be successful." -Eric Thomas
NUS School Moderator
User avatar
V
Joined: 18 Jul 2018
Posts: 990
Location: India
Concentration: Finance, Marketing
WE: Engineering (Energy and Utilities)
Premium Member Reviews Badge CAT Tests
Re: If x and y are positive integers, is (x/y)^z > 1 ?  [#permalink]

Show Tags

New post 20 Aug 2018, 01:23
1
From statement 1 we can conclude that X<Y. Means \(\frac{X}{Y}\) is a fraction.
Since we don't know anything about Z. Statement 1 is insufficient.
From statement 2 we don't have any information about X and Y. So, 2 is insufficient.
Combining both gives two possibilities.
If X=1 and Y=6. and Z = \(\frac{{-1}}{2}\) Then (X/Y)^Z Gives 36. which is greater than 1.
If Z is positive fraction then (X/Y)^Z is less than 1.
Hence combining also is insufficient.
E is the answer.
_________________
Press +1 Kudos If my post helps!
Manager
Manager
User avatar
S
Joined: 06 Nov 2016
Posts: 60
Location: Viet Nam
Concentration: Strategy, International Business
GPA: 3.54
Re: If x and y are positive integers, is (x/y)^z > 1 ?  [#permalink]

Show Tags

New post 21 Aug 2018, 08:57
Bunuel wrote:
If x and y are positive integers, is \((\frac{x}{y})^z > 1\) ?


(1) x - y = -5

(2) z ≠ 0

Here is my approach.

(1) x - y = -5 --> x < y --> \(\frac{x}{y}\) < 1 . No info about z --> not sufficient.
(Number plugging: Let \(\frac{x}{y}\) = \(\frac{1}{6}\). If \(z = 1\) --> Yes, If \(z=-1\) --> No)

(2) z ≠ 0 --> No info about x, y --> not sufficient.

(1) + (2) We still have two different answers --> not sufficient.

Answer E.
_________________
GMAT Club Bot
Re: If x and y are positive integers, is (x/y)^z > 1 ?   [#permalink] 21 Aug 2018, 08:57
Display posts from previous: Sort by

If x and y are positive integers, is (x/y)^z > 1 ?

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





Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne