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

It is currently 19 Jun 2018, 12:43

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

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

If x is an odd negative integer and y is an even integer, which of the

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

Hide Tags

Expert Post
2 KUDOS received
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 46167
If x is an odd negative integer and y is an even integer, which of the [#permalink]

Show Tags

New post 25 Feb 2015, 03:26
2
6
00:00
A
B
C
D
E

Difficulty:

  95% (hard)

Question Stats:

38% (01:03) correct 62% (01:15) wrong based on 159 sessions

HideShow timer Statistics

If x is an odd negative integer and y is an even integer, which of the following statements must be true?

I. (3x - 2y) is odd

II. xy^2 is an even negative integer

III. (y^2 - x) is an odd negative integer

A. I only
B. II only
C. I and II
D. I and III
E. II and III


Kudos for a correct solution.

_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

4 KUDOS received
Intern
Intern
avatar
Joined: 19 Jan 2014
Posts: 23
GMAT 1: 730 Q50 V39
WE: Accounting (Accounting)
GMAT ToolKit User
If x is an odd negative integer and y is an even integer, which of the [#permalink]

Show Tags

New post 25 Feb 2015, 05:30
4
If x is an odd negative integer and y is an even integer, which of the following statements must be true?
I. (3x - 2y) is odd
3x - is always negative and odd
2y - can be 0, when y=0, or always even integer (positivie or negative)
odd integer +/- even integer = always odd
I statement is always true

II. xy^2 is an even negative integer
y can be 0 => xy^2 = 0 (non-negative even) => II statement is not true

III. (y^2 - x) is an odd negative integer
y can be 0 => -x will be positive => III statement is not true

basing on above, only I statement will always be true

answer is A
Expert Post
1 KUDOS received
SVP
SVP
avatar
B
Joined: 06 Nov 2014
Posts: 1888
Re: If x is an odd negative integer and y is an even integer, which of the [#permalink]

Show Tags

New post 28 Feb 2015, 06:55
1
Bunuel wrote:
If x is an odd negative integer and y is an even integer, which of the following statements must be true?

I. (3x - 2y) is odd

II. xy^2 is an even negative integer

III. (y^2 - x) is an odd negative integer

A. I only
B. II only
C. I and II
D. I and III
E. II and III


Kudos for a correct solution.


Let x = -1, y = 2

Option I: (3x - 2y) = 3(-1) - 2(2) = -7 is ODD

Option II: xy^2 = (-1)(2^2) = -4 is EVEN NEGATIVE

Option III. (y^2 - x) = 2^2 - (-1) = 5 is ODD POSITIVE

Since the question involves Even and Odd numbers, let us also consider y = 0.

Option I: (3x - 2y) = 3(-1) - 2(0) = -3 is ODD

Option II: xy^2 = (-1)(0^2) = 0 is EVEN POSITIVE

Option III. This condition was proved false using the above values.

Hence only condition I is satisfied.
Hence option A.

--
Optimus Prep's GMAT On Demand course for only $299 covers all verbal and quant. concepts in detail. Visit the following link to get your 7 days free trial account: http://www.optimus-prep.com/gmat-on-demand-course
Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 46167
Re: If x is an odd negative integer and y is an even integer, which of the [#permalink]

Show Tags

New post 02 Mar 2015, 06:25
Bunuel wrote:
If x is an odd negative integer and y is an even integer, which of the following statements must be true?

I. (3x - 2y) is odd

II. xy^2 is an even negative integer

III. (y^2 - x) is an odd negative integer

A. I only
B. II only
C. I and II
D. I and III
E. II and III


Kudos for a correct solution.


MAGOOSH OFFICIAL SOLUTION:
Attachment:
oddeven_explanation.png
oddeven_explanation.png [ 51.23 KiB | Viewed 8036 times ]

_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Manager
Manager
avatar
S
Joined: 18 Oct 2016
Posts: 139
Location: India
WE: Engineering (Energy and Utilities)
Re: If x is an odd negative integer and y is an even integer, which of the [#permalink]

Show Tags

New post 17 Apr 2017, 03:46
Option A

x = Negative Odd integer = -O, y = Even Integer = E. Odd: O, Even: E & Fraction: F.

I. (3x - 2y) is odd = (3*(-O) - 2*E) = -O - E = -O or +O = O : true

II. xy^2 is an even negative integer = -O*(E^2) = +O : not true

III. (y^2 - x) is an odd negative integer = (E^2 - (-O)) = (E + O) = +O : not true
_________________

Press Kudos if you liked the post!

Rules for posting - PLEASE READ BEFORE YOU POST

Re: If x is an odd negative integer and y is an even integer, which of the   [#permalink] 17 Apr 2017, 03:46
Display posts from previous: Sort by

If x is an odd negative integer and y is an even integer, which of the

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


cron

GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| GMAT Club Rules| Contact| Sitemap

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

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®.