GMAT Question of the Day: Daily via email | Daily via Instagram New to GMAT Club? Watch this Video
close

It is currently 24 Nov 2020, 16:07
Register
GMAT Club Tests
Decision Tracker
My Rewards
New comers' posts
New posts
Unanswered

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.

Go to My Error Log Learn more
Close

Request Expert Reply

Confirm Cancel
PREVIOUS TOPIC
NEXT TOPIC
If x and y are positive integers, is x an even integer?
5 posts Go to First Unread Post
Print view
NEW TOPIC
POST REPLY
Downloads
My Bookmarks
Reviews
SORT BY:
Date
Kudos
Tags :
Find Similar Topics 

Show Tags
Hide Tags

avatar
B
alphonsa
Manager
Manager
Joined: 22 Jul 2014
Posts: 120
Concentration: General Management, Finance
Schools: Cox '19 (D), Babson '19 (A$), Katz '19 (D), Eller"19 (A$), Northeastern '19 (A$), Krannert '19 (A$), ISB '18 (D), Rutgers '19 (A), Olin '19 (I)
GMAT 1: 670 Q48 V34
WE:Engineering (Energy and Utilities)
GMAT ToolKit User Reviews Badge
If x and y are positive integers, is x an even integer? [#permalink] New post  Updated on: 18 Aug 2014, 08:35
1
3
Bookmarks
00:00
A
B
C
D
E

Difficulty:

55% (hard)

Question Stats:

63% (01:44) correct 38% (01:58) wrong based on 88 sessions

Hide Show timer Statistics

If x and y are positive integers, is x an even integer?

(1) x(y + 11) is an even integer.
(2) y^2 - 6y + 5 is an odd integer.

Source: 4gmat
ShowHide Answer
Official Answer
Official Answer and Stats are available only to registered users. Register/Login.

Originally posted by alphonsa on 18 Aug 2014, 07:55.
Last edited by Bunuel on 18 Aug 2014, 08:35, edited 1 time in total.
Edited the question.
User avatar
G
BrushMyQuant
GMAT Tutor
Joined: 05 Apr 2011
Status:Tutor - BrushMyQuant
Posts: 673
Location: India
Concentration: Finance, Marketing
Schools: XLRI (A)
GMAT 1: 700 Q51 V31
GPA: 3
WE:Information Technology (Computer Software)
Re: If x and y are positive integers, is x an even integer? [#permalink] New post  18 Aug 2014, 08:05
Expert Reply
STAT1
If y is odd then X can be even or odd
If y is even then xis even
So, NOT SUFFICIENT

STAT2
(y-1)*(y-5)=odd
=> y = even
Doesn't talk about x so NOT SUFFICIENT

STAT1 and STAT2 Together
we know that y is even
=> y+11 is odd
=> x is even

So, SUFFICIENT
Answer will be C

Hope it helps!
_________________
Ankit

Image

How to Solve :
Absolute Value || Inequalities Basics || Inequalities (Problems) || Functions and Custom Characters || LCM and GCD || Remainders || Remainder Problems || Stem & Leaf Plot || Box And Whisker Plot || Statistics || Reflection of a line

How to start GMAT preparations? || How to Improve Quant Score? || OG Links || Gmatclub Topic Tags || My GMAT debrief || GMAT Quant Tutor
Signature Read More
User avatar
V
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 68555
CAT Tests
Top Member of the Month
Re: If x and y are positive integers, is x an even integer? [#permalink] New post  18 Aug 2014, 08:41
1
Expert Reply
If x and y are positive integers, is x an even integer?

(1) x(y + 11) is an even integer --> if y is an odd integer then y + 5 = even and x can be even as well as odd. Not sufficient.

(2) y^2 - 6y + 5 is an odd integer --> y^2 - 6y + 5 = y^2 - even + odd = y^2 + odd = odd --> y^2 = even --> y = even. No info about x. Not sufficient.

(1)+(2) Since from (2) y is even, then y + 11 = odd, thus for x(y + 11) = x*odd to be even, x must be even. Sufficient.

Answer: C.
_________________
New to the GMAT CLUB Forum?
Posting Rules: QUANTITATIVE | VERBAL. Guides and Resources: QUANTITATIVE | VERBAL | Ultimate GMAT Quantitative Megathread | All You Need for Quant

Questions' Banks and Collection:
PS: Standard deviation | Tough Problem Solving Questions With Solutions | Probability and Combinations Questions With Solutions | Tough and tricky exponents and roots questions | 12 Easy Pieces (or not?) | Bakers' Dozen | Algebra set | Mixed Questions | Fresh Meat
DS: DS Standard deviation | Inequalities | 700+ GMAT Data Sufficiency Questions With Explanations | Tough and tricky exponents and roots questions | The Discreet Charm of the DS | Devil's Dozen!!! | Number Properties set | New DS set
MIXED: GMAT Club's Complete Questions' Bank | SEVEN SAMURAI OF 2012 | Tricky questions from previous years. | Special Questions' Directory | Best Of The Best Of 2017 | The Best Of Quant of 2016 | 20 hardest and 20 best questions of 2015 | 15 best topics of 2015 | Seven Samurai of 2012 | GMAT Probability Questions

What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics
Signature Read More
User avatar
D
stonecold
Current Student
Joined: 12 Aug 2015
Posts: 2507
Schools: Boston U '20 (M)
GRE 1: Q169 V154
GMAT ToolKit User
Re: If x and y are positive integers, is x an even integer? [#permalink] New post  21 Nov 2016, 04:16
Given info => x,y are integers
w need to find if x is even or not
Statement 1
x(y+11) is even
Here if y is odd=> x can be even or not => not sufficient
Statement 2
y^+odd=odd => y^2 must be even
hence y must be even
But we don't know the even/odd nature of x
hence insufficient

Combing statements 1 and 2
we get y=even
so y+11=> odd
hence to make x(y+11) even ,x must be even
Hence sufficient
Hence C
_________________
Give me a hell yeah ...!!!!!

MBA Recruiting:- EMPLOYMENT AND SALARY STATISTICS AT TOP B-SCHOOLS IN THE US! (2018)
MBA Financing:- INDIAN PUBLIC BANKS vs PRODIGY FINANCE!

Getting into HOLLYWOOD with an MBA!
The MOST AFFORDABLE MBA programs!
STONECOLD's BRUTAL Mock Tests for GMAT-Quant(700+)
AVERAGE GRE Scores At The Top Business Schools!
Signature Read More
User avatar
V
chetan2u
Math Expert
Joined: 02 Aug 2009
Posts: 9086
Reviews Badge
Top Member of the Month
Re: If x and y are positive integers, is x an even integer? [#permalink] New post  21 Jun 2020, 21:09
1
Expert Reply
alphonsa wrote:
If x and y are positive integers, is x an even integer?

(1) x(y + 11) is an even integer.
(2) y^2 - 6y + 5 is an odd integer.


(1) x(y + 11) is an even integer.
Three possibilities..
a) x and y are odd, then y+11 will be even.
b) x is even and y is odd
c) both x and y are even

(2) \(y^2 - 6y + 5\) is an odd integer.
\(y^2 - 6y + 5\)....6y will be even and 5 is odd, so 5-6y will be odd
\(y^2 - 6y + 5=y^2+odd=odd....y^2=odd-odd=even\), so y is even.
But nothing about x

Combined
y is even, so y+11 will be odd..
Now x(y+11)=x*odd=even, so x is even

C
_________________
1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html
4) Base while finding % increase and % decrease : https://gmatclub.com/forum/percentage-increase-decrease-what-should-be-the-denominator-287528.html


GMAT Expert
Signature Read More
GMAT Club Bot
gmatclubot
[#permalink]
NEW TOPIC
POST REPLY
Downloads
My Bookmarks
Reviews
Moderators:
chetan2u
Math Expert
9086 posts
Bunuel
Math Expert
68555 posts
VeritasKarishma
Veritas Prep GMAT Instructor
11228 posts
GMATBusters
Retired Moderator
1935 posts
nick1816
DS Forum Moderator
2194 posts
Feedback

cron

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

Main navigation

GMAT Resources

Partners

MBA Resources

www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions