GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 19 Nov 2018, 16:28

### 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

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

## Events & Promotions

###### Events & Promotions in November
PrevNext
SuMoTuWeThFrSa
28293031123
45678910
11121314151617
18192021222324
2526272829301
Open Detailed Calendar
• ### How to QUICKLY Solve GMAT Questions - GMAT Club Chat

November 20, 2018

November 20, 2018

09:00 AM PST

10:00 AM PST

The reward for signing up with the registration form and attending the chat is: 6 free examPAL quizzes to practice your new skills after the chat.
• ### The winning strategy for 700+ on the GMAT

November 20, 2018

November 20, 2018

06:00 PM EST

07:00 PM EST

What people who reach the high 700's do differently? We're going to share insights, tips and strategies from data we collected on over 50,000 students who used examPAL.

# If x and y are positive integers

Author Message
SVP
Joined: 26 Mar 2013
Posts: 1887
If x and y are positive integers  [#permalink]

### Show Tags

24 Sep 2017, 14:55
1
00:00

Difficulty:

(N/A)

Question Stats:

40% (00:35) correct 60% (00:14) wrong based on 5 sessions

### HideShow timer Statistics

If x and y are positive integers and $$(x+y)^2$$is an odd integer, is x an even integer?

1) $$x^4 - y^3$$ is an odd integer

2) $$0 < y^3-y < 24$$

--== Message from the GMAT Club Team ==--

THERE IS LIKELY A BETTER DISCUSSION OF THIS EXACT QUESTION.
This discussion does not meet community quality standards. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.
Senior Manager
Joined: 02 Jul 2017
Posts: 293
Concentration: Entrepreneurship, Technology
GMAT 1: 730 Q50 V38
Re: If x and y are positive integers  [#permalink]

### Show Tags

24 Sep 2017, 17:55
1
If x and y are positive integers and $$(x+y)^2$$ is an odd integer, is x an even integer?

$$(x+y)^2$$ is an odd integer => as E+O =O => between x and y 1 is even and 1 is odd

1) $$x^4−y^3$$ is an odd integer
as O-E=O or E-O=O => above equation implies that between x and y 1 is even and 1 is odd
=> No extra information
Insufficient

2) $$0<y^3−y<24$$
as x and y are positive integers, so value of y can be 1,2,3....
for above equation only possible value of y=2=> $$0<2^3-2<24$$
=> y is even => by question stem x is odd
Sufficient

Math Expert
Joined: 02 Sep 2009
Posts: 50670
Re: If x and y are positive integers  [#permalink]

### Show Tags

24 Sep 2017, 20:17
Mo2men wrote:
If x and y are positive integers and $$(x+y)^2$$is an odd integer, is x an even integer?

1) $$x^4 - y^3$$ is an odd integer

2) $$0 < y^3-y < 24$$

Discussed here: if-x-and-y-are-positive-integers-and-x-y-2-is-an-odd-integer-is-x-216462.html

--== Message from the GMAT Club Team ==--

THERE IS LIKELY A BETTER DISCUSSION OF THIS EXACT QUESTION.
This discussion does not meet community quality standards. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.

_________________
Re: If x and y are positive integers &nbs [#permalink] 24 Sep 2017, 20:17
Display posts from previous: Sort by