Last visit was: 19 Jul 2024, 06:17 It is currently 19 Jul 2024, 06:17
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
SORT BY:
Date
Tags:
Show Tags
Hide Tags
Math Expert
Joined: 02 Sep 2009
Posts: 94412
Own Kudos [?]: 642265 [6]
Given Kudos: 86318
Send PM
Current Student
Joined: 18 Aug 2016
Posts: 531
Own Kudos [?]: 587 [1]
Given Kudos: 198
Concentration: Strategy, Technology
GMAT 1: 630 Q47 V29
GMAT 2: 740 Q51 V38
Send PM
Intern
Intern
Joined: 26 Jun 2014
Posts: 17
Own Kudos [?]: 5 [0]
Given Kudos: 217
Send PM
Intern
Intern
Joined: 21 Nov 2016
Posts: 37
Own Kudos [?]: 32 [0]
Given Kudos: 23
Send PM
Re: If x and y are integers, is x > y? [#permalink]
Bunuel wrote:
If x and y are integers, is x > y?

(1) 0 < x^y < 1
(2) y is odd



1) if x^y is less than 1, it does'nt matter if y is odd or even. To satisfy this condition, x has to be positive and y has to be negative. Hence x > y. Suff
2) No information about x. x can be anything here. Not Suff.
Intern
Intern
Joined: 30 Mar 2017
Posts: 29
Own Kudos [?]: 23 [1]
Given Kudos: 47
Location: United States (FL)
Send PM
Re: If x and y are integers, is x > y? [#permalink]
1
Bookmarks
This one can be tricky if you rush through it.

As some users have posted, at first glance, it appears that x must be positive however it is important to remember that even exponents can mask signs or make negative numbers into positive.

Consider x = -2;
Is there any power we can raise -2 to to make it a positive fraction less than 1?
Well to make it positive we have to raise it to an even exponent and to make it a fraction we have to raise it to a negative exponent; Thus raising it to a negative even exponent could satisfy the requirements.
Both y = -2 and y = -4 work, however they give different answer to the question "is x>y?" thus more information is needed.

To finish this off quickly - the 2nd statement tells us very little on its own so we'll need to combine it with statement I;
y is odd means that x cannot be negative as there is no way we can make it a positive number;
Together this information is sufficient
SVP
SVP
Joined: 24 Nov 2016
Posts: 1712
Own Kudos [?]: 1360 [0]
Given Kudos: 607
Location: United States
Send PM
Re: If x and y are integers, is x > y? [#permalink]
Bunuel wrote:
If x and y are integers, is x > y?

(1) 0 < x^y < 1
(2) y is odd


(x,y)=integers

(1) 0 < x^y < 1 insufic

y=negative

x=-3, y=-2: x^y=1/(-3)^2=1/9, x<y
x=3, y=-1: x^y=1/(3)^1=1/3, x>y

(2) y is odd insufic

(1 and 2) sufic

y=odd_negative
x=positive
x>y

Ans (C)
GMAT Club Bot
Re: If x and y are integers, is x > y? [#permalink]
Moderator:
Math Expert
94412 posts