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

It is currently 17 Aug 2018, 21:53

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

How many even integers N exist such that x < N < x + 10?

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

Hide Tags

Intern
Intern
avatar
B
Joined: 09 Jan 2017
Posts: 22
Location: Germany
Concentration: International Business, General Management
GPA: 3.7
How many even integers N exist such that x < N < x + 10?  [#permalink]

Show Tags

New post 27 Jan 2017, 04:35
6
00:00
A
B
C
D
E

Difficulty:

  85% (hard)

Question Stats:

39% (00:59) correct 61% (00:51) wrong based on 189 sessions

HideShow timer Statistics

How many even integers N exist such that x < N < x + 10?

(1) x is not odd

(2) x is not an integer


_________________

Kudos for correct answers or good questions!

Director
Director
User avatar
P
Joined: 05 Mar 2015
Posts: 985
Re: How many even integers N exist such that x < N < x + 10?  [#permalink]

Show Tags

New post 27 Jan 2017, 05:28
1
lmuenzel wrote:
How many even integers N exist such that x < N < x + 10?

(1) x is not odd

(2) x is not an integer



(1) if x= 0.1 then total no. of even integers (0.1< N < 10.1) = 5
if x=2 then total number of even integers (2<N<12) = 4
Not suff

(2) if x= non integer
then N= 5 always
sufficient

Ans B
Manager
Manager
User avatar
S
Status: Just redeemed Kudos for GMAT Club Test !!
Joined: 14 Sep 2013
Posts: 93
Location: Bangladesh
GMAT 1: 530 Q40 V23
GPA: 3.56
WE: Analyst (Commercial Banking)
GMAT ToolKit User Premium Member
Re: How many even integers N exist such that x < N < x + 10?  [#permalink]

Show Tags

New post 27 Jan 2017, 09:01
lmuenzel wrote:
How many even integers N exist such that x < N < x + 10?

(1) x is not odd

(2) x is not an integer



This question test the concept of number line. 'Not odd' means any other integers, fraction etc except ODD number. Now just plug the given equation those 'not odd' values.

Ans: B
_________________

______________
KUDOS please, if you like the post or if it helps :-)
"Giving kudos" is a decent way to say "Thanks"

Master with structure - Numerical comparison [source: economist.com] https://gmatclub.com/forum/master-with-structure-numerical-comparison-233657.html#p1801987

Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 47977
Re: How many even integers N exist such that x < N < x + 10?  [#permalink]

Show Tags

New post 27 Jan 2017, 10:23
lmuenzel wrote:
How many even integers N exist such that x < N < x + 10?

(1) x is not odd

(2) x is not an integer



Check similar questions to practice:
how-many-integers-n-are-there-such-that-r-n-s-166396.html
how-many-integers-are-there-such-that-v-n-w-129065.html

Hope it helps.
_________________

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

Moderator
avatar
V
Joined: 22 Jun 2014
Posts: 1059
Location: India
Concentration: General Management, Technology
GMAT 1: 540 Q45 V20
GPA: 2.49
WE: Information Technology (Computer Software)
GMAT ToolKit User Premium Member
Re: How many even integers N exist such that x < N < x + 10?  [#permalink]

Show Tags

New post 27 Jan 2017, 23:06
x < N < X+10

Stmt-1:
if x is not odd then what else can it be? it can be even. but do you see the second stmt as well, oh yes! x can be fraction too

So you have two cases:
when x is even say x=0 then you have 0 < 2,4,6,8 < 10 - in total 4 even numbers
when x is fraction say x=0.5 then you have 0.5 < 2,4,6,8,10 < 10.5 - in total 5 even numbers

hence statement-1 is insufficient.

stmt-2:
when x is fraction say x=0.5 then you have 0.5 < 2,4,6,8,10 < 10.5 - in total 5 even numbers
when x is fraction say x=1.5 then you have 1.5 < 2,4,6,8,10 < 11.5 - in total 5 even numbers
when x is fraction say x=2.5 then you have 2.5 < 4,6,8,10,12 < 12.5 - in total 5 even numbers

Sufficient.
_________________

---------------------------------------------------------------
Target - 720-740
http://gmatclub.com/forum/information-on-new-gmat-esr-report-beta-221111.html
http://gmatclub.com/forum/list-of-one-year-full-time-mba-programs-222103.html

Intern
Intern
avatar
B
Joined: 24 Jul 2017
Posts: 49
Location: India
WE: Information Technology (Computer Software)
Re: How many even integers N exist such that x < N < x + 10?  [#permalink]

Show Tags

New post 23 Dec 2017, 05:41
Easy deal by number picking. Questions asks the number of even integers between x and (x+10)

1. If x is an even integer
Ex: x = 0 ----> 0< 2,4,6,8 < 10 = 4

If x is not an integer but is even
Ex: x = 0.5 ----> 0.5 < 2,4,6,8,10 < 10.5 = 5

Clearly not sufficient.

2. If x is not an integer
Ex: x = 0.5 -----> 0.5 < 2,4,6,8,10 < 10.5 = 5

Sufficient.

Option B

Kudos if it helps :-)
Intern
Intern
avatar
B
Joined: 04 Mar 2018
Posts: 15
Re: How many even integers N exist such that x < N < x + 10?  [#permalink]

Show Tags

New post 06 Aug 2018, 23:45
why x can't be negative?
not odd doesn't mean x can't be negative.
Re: How many even integers N exist such that x < N < x + 10? &nbs [#permalink] 06 Aug 2018, 23:45
Display posts from previous: Sort by

How many even integers N exist such that x < N < x + 10?

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

Events & Promotions

PREV
NEXT


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®.