Find all School-related info fast with the new School-Specific MBA Forum

It is currently 23 Jul 2014, 02:05

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.

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

M04 #10

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
3 KUDOS received
Manager
Manager
avatar
Status: Stanford GSB
Joined: 02 Jun 2008
Posts: 102
Followers: 6

Kudos [?]: 63 [3] , given: 4

GMAT Tests User
M04 #10 [#permalink] New post 25 Dec 2008, 12:27
3
This post received
KUDOS
5
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

39% (01:28) correct 61% (00:30) wrong based on 561 sessions
What is the value of X ?

1. X! is odd
2. X is even

Source: GMAT Club Tests - hardest GMAT questions

[Reveal] Spoiler:
In this partcular problem the OA is C. according to me it should be A.

From S1 we get x=0 or x=1. 0 is even in GMAT, Hence only value of x is 1, sufficient.


SOLUTION IS HERE: m04-78541.html#p1090321
[Reveal] Spoiler: OA
Kaplan GMAT Prep Discount CodesKnewton GMAT Discount CodesVeritas Prep GMAT Discount Codes
Expert Post
9 KUDOS received
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 18693
Followers: 3232

Kudos [?]: 22236 [9] , given: 2601

Re: M04 #10 [#permalink] New post 29 May 2012, 05:44
9
This post received
KUDOS
Expert's post
Cosmas wrote:
Statement 1 is sufficient because it results in one answer....that's 0!=1; and 1!=1 and 1 is odd.


Welcome to GMAT Club. Note that the answer to this question is C, not A.

What is the value x ?

(1) x! is odd --> two values satisfy this condition 0 and 1: 0!=1 and 1!=1. Not sufficient.

(2) x is even --> x can be any even number. Not sufficient.

(1)+(2) Since from (1) x is either 0 or 1 and (2) says that x is even then x=0=even. Sufficient.

Answer: C.

Hope it's clear.

_________________

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

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?
25 extra-hard Quant Tests

Get the best GMAT Prep Resources with GMAT Club Premium Membership

5 KUDOS received
SVP
SVP
avatar
Joined: 17 Jun 2008
Posts: 1580
Followers: 11

Kudos [?]: 174 [5] , given: 0

GMAT Tests User
Re: M04: Question 15 [#permalink] New post 25 Dec 2008, 22:15
5
This post received
KUDOS
Stmt1 does not say that x is odd. It says factorial of x is odd. And this is true for both x = 0 and x = 1. Hence, stmt1 by itself is insufficient.
4 KUDOS received
Intern
Intern
avatar
Joined: 20 Nov 2012
Posts: 18
Location: United States
Concentration: Finance, International Business
GMAT Date: 06-15-2013
GPA: 3.75
WE: Information Technology (Computer Software)
Followers: 2

Kudos [?]: 1 [4] , given: 0

Re: M04 #10 [#permalink] New post 29 May 2013, 16:55
4
This post received
KUDOS
X! is odd is possible only when X! = 1 because for X>1 it will always have an even multiple .

X! means X can be 0 or 1 , Stmt 1 not sufficient

Stmt 2 says X is even , which doesn't uniquely identifies the value .

Combining both we get the answer as 0 . Therefore ,C
3 KUDOS received
Manager
Manager
avatar
Joined: 15 Sep 2009
Posts: 139
Followers: 1

Kudos [?]: 15 [3] , given: 2

Re: M04 #10 [#permalink] New post 22 May 2010, 21:10
3
This post received
KUDOS
1
This post was
BOOKMARKED
statement 1:
===========
X can either be Zero or One since both the factorial values are odd.So insuff.


Statement 2:
==========
X is even.Certainly insuff.

combining both,we get X = 0.so suff.

I will go with option C
3 KUDOS received
Director
Director
avatar
Joined: 21 Dec 2009
Posts: 588
Concentration: Entrepreneurship, Finance
Followers: 15

Kudos [?]: 230 [3] , given: 20

GMAT Tests User
Re: M04 #10 [#permalink] New post 19 Jun 2010, 22:43
3
This post received
KUDOS
kevinw1081 wrote:
Are all factorials even? except for 1?

All factorials are even, except for 0 and 1 whose factorials are odd and the same; 0! = 1! = 1.

_________________

KUDOS me if you feel my contribution has helped you.

1 KUDOS received
Intern
Intern
avatar
Joined: 07 May 2010
Posts: 1
Followers: 0

Kudos [?]: 1 [1] , given: 0

Re: M04 #10 [#permalink] New post 23 May 2010, 23:04
1
This post received
KUDOS
I say answer is C

1) X! is odd. 0! is 1 and 1! is 1. You have two options.

2) X is an even number. 0 is considered an even number.

So 0 is the value of X.
Expert Post
1 KUDOS received
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 18693
Followers: 3232

Kudos [?]: 22236 [1] , given: 2601

Re: M04 #10 [#permalink] New post 11 Aug 2013, 01:14
1
This post received
KUDOS
Expert's post
gilda wrote:
eventually, is 0 even or it is neither even nor odd?


Zero is an even integer. (Zero is neither positive nor negative).

An even number is an integer that is "evenly divisible" by 2, i.e., divisible by 2 without a remainder and as zero is evenly divisible by 2 then it must be even (in fact zero is divisible by every integer except zero itself).

Hope it's clear.

_________________

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

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?
25 extra-hard Quant Tests

Get the best GMAT Prep Resources with GMAT Club Premium Membership

Director
Director
avatar
Joined: 21 Dec 2009
Posts: 588
Concentration: Entrepreneurship, Finance
Followers: 15

Kudos [?]: 230 [0], given: 20

GMAT Tests User
Re: M04 #10 [#permalink] New post 22 May 2010, 11:12
1
This post was
BOOKMARKED
i think the trick here is not to recall that factorial of zero is one
making two correct values for statement1.

Even numbers N = 2n (n=0,1,2, 3...) That is 0,2,4,6 are all even numbers
OA is C, as stmt2 has clarified that X is even (i.e 0)

_________________

KUDOS me if you feel my contribution has helped you.

Intern
Intern
avatar
Joined: 02 Mar 2010
Posts: 3
Followers: 0

Kudos [?]: 4 [0], given: 0

Re: M04 #10 [#permalink] New post 23 May 2010, 01:49
Statement 1 impliies x can be 0 or 1..so not sufficient.
Statement 2 x is even...not sufficient.
Combining 1 & 2 x = 0,
hence C
Director
Director
avatar
Joined: 21 Dec 2009
Posts: 588
Concentration: Entrepreneurship, Finance
Followers: 15

Kudos [?]: 230 [0], given: 20

GMAT Tests User
Re: M04 #10 [#permalink] New post 03 Jul 2010, 13:45
gattupalli wrote:
I completely agree with Adhiraj even I assume that 0 is not even either but the answer says is C. My answer was E too... should I take it like a thumb rule that 0 is even in GMAT?

Even = 2n.
where n: {0, 1, 2, ...}
list of even nos: {0, 2, 4, ...} - 0 is inclusive.

_________________

KUDOS me if you feel my contribution has helped you.

Intern
Intern
avatar
Joined: 26 Jun 2010
Posts: 5
Followers: 0

Kudos [?]: 1 [0], given: 0

Re: M04 #10 [#permalink] New post 05 Jul 2010, 01:14
Zero fits the definition of "even number": it is an integer multiple of 2.
Source: wiki
Current Student
User avatar
Joined: 15 Jul 2010
Posts: 259
GMAT 1: 750 Q49 V42
Followers: 5

Kudos [?]: 73 [0], given: 65

GMAT Tests User
Re: M04 #10 [#permalink] New post 12 Nov 2010, 19:30
0!=1

Oh boy... I totally forgot about this. I too thought 0!=0 /sadface.

_________________

Consider KUDOS if my post was helpful. :-D

My Debrief: 750-q49v42-105591.html#p825487

SVP
SVP
avatar
Joined: 16 Nov 2010
Posts: 1692
Location: United States (IN)
Concentration: Strategy, Technology
Followers: 30

Kudos [?]: 275 [0], given: 36

GMAT Tests User Premium Member Reviews Badge
Re: M04 #10 [#permalink] New post 25 May 2011, 03:27
The answer is C.

(1) says x can be 0 or 1, where x! = 1

Insufficient

(2) says x is even

Insufficient

So (1) + (2) = 0

Sufficient.

_________________

Formula of Life -> Achievement/Potential = k * Happiness (where k is a constant)

Get the best GMAT Prep Resources with GMAT Club Premium Membership

Intern
Intern
avatar
Joined: 15 May 2011
Posts: 40
WE 1: IT Consulting - 5 Years
Followers: 0

Kudos [?]: 3 [0], given: 4

GMAT ToolKit User GMAT Tests User
Re: M04 #10 [#permalink] New post 25 May 2011, 08:55
Clean bowled on this one! I guess I learned two things here.

1. 0! = 1, 0! & 1! are the only Odd factorials
2. 0 is an Even number (this was a surprise!)

I also think that the key is too look out for answer choices that seem 'too good to be true'; 95% of the time in such instances, the GMAT is playing around with you.
Manager
Manager
avatar
Joined: 07 Mar 2011
Posts: 69
Location: Canada
Concentration: Entrepreneurship, Finance
Schools: Chicago (Booth) - Class of 2014
GMAT 1: 710 Q50 V36
GPA: 3.3
WE: Other (Other)
Followers: 0

Kudos [?]: 12 [0], given: 1

GMAT Tests User
Re: M04 #10 [#permalink] New post 29 May 2011, 03:25
Caught the 0! = 1 and 1! = 1 but it took me a while to realize that 0 is even.

_________________

Sent from my Slapchop

Intern
Intern
avatar
Joined: 10 Apr 2012
Posts: 45
Concentration: Finance
WE: Analyst (Commercial Banking)
Followers: 0

Kudos [?]: 17 [0], given: 10

Reviews Badge CAT Tests
Re: M04 #10 [#permalink] New post 29 May 2012, 05:31
Statement 1 is sufficient because it results in one answer....that's 0!=1; and 1!=1 and 1 is odd.
Intern
Intern
avatar
Joined: 10 Apr 2012
Posts: 45
Concentration: Finance
WE: Analyst (Commercial Banking)
Followers: 0

Kudos [?]: 17 [0], given: 10

Reviews Badge CAT Tests
Re: M04 #10 [#permalink] New post 29 May 2012, 05:53
Thanks mate. i see now.lol


Bunuel wrote:
Cosmas wrote:
Statement 1 is sufficient because it results in one answer....that's 0!=1; and 1!=1 and 1 is odd.


Welcome to GMAT Club. Note that the answer to this question is C, not A.

What is the value x ?

(1) x! is odd --> two values satisfy this condition 0 and 1: 0!=1 and 1!=1. Not sufficient.

(2) x is even --> x can be any even number. Not sufficient.

(1)+(2) Since from (1) x is either 0 or 1 and (2) says that x is even then x=0=even. Sufficient.

Answer: C.

Hope it's clear.
Intern
Intern
avatar
Status: ISB 14...:)
Joined: 25 May 2012
Posts: 30
Location: India
Concentration: Strategy
Schools: ISB '14 (A)
GMAT 1: 750 Q51 V39
GPA: 3.62
WE: Engineering (Energy and Utilities)
Followers: 1

Kudos [?]: 21 [0], given: 10

Reviews Badge
Re: M04 #10 [#permalink] New post 29 May 2012, 18:15
Good question...
The answer is C and many people have already explained it.
A small information regarding even and odd numbers. Even and odd numbers are defined for integers ie., -2,-4 etc are also even numbers. So, zero is obviously an even number.
E = {...-4,-2,0,2,4...}
O = {..-3,-1,1,3...}

PS: I am new to the forum and this is my first post..:)
Director
Director
User avatar
Joined: 14 Dec 2012
Posts: 837
Location: India
Concentration: Finance, Real Estate
GMAT 1: 640 Q49 V29
GMAT 2: 670 Q50 V29
GMAT 3: 620 Q49 V26
GMAT 4: 700 Q50 V34
GPA: 3.6
Followers: 37

Kudos [?]: 536 [0], given: 197

GMAT ToolKit User
Re: M04 #10 [#permalink] New post 29 May 2013, 02:20
sandipchowdhury wrote:
What is the value of X ?

1. X! is odd
2. X is even

[Reveal] Spoiler: OA
C

Source: GMAT Club Tests - hardest GMAT questions

In this partcular problem the OA is C. according to me it should be A.

From S1 we get x=0 or x=1. 0 is even in GMAT, Hence only value of x is 1, sufficient.


theory required:
1==> factorial is defined only for non negative numbers.
2==>factorial 0= 1
3==> 0 is an even number.
4==> for a product of numbers to be odd all numbers should be odd.

now in our question:
statement 1: X! is odd===> this clearly means we can take only 0 or 1 but this is not sufficient.
statement 2: X is even===> this alone doesnt say anything hence not sufficient.

combining both in 0 and 1 ....0 is even so sufficient.

hope it helps.

SKM

_________________

When you want to succeed as bad as you want to breathe ...then you will be successfull....

GIVE VALUE TO OFFICIAL QUESTIONS...



GMAT RCs VOCABULARY LIST: vocabulary-list-for-gmat-reading-comprehension-155228.html
learn AWA writing techniques while watching video : http://www.gmatprepnow.com/module/gmat- ... assessment
: http://www.youtube.com/watch?v=APt9ITygGss

Re: M04 #10   [#permalink] 29 May 2013, 02:20
    Similar topics Author Replies Last post
Similar
Topics:
m04 bibha 1 12 Jul 2010, 03:49
7 Experts publish their posts in the topic M04 #1 dczuchta 26 22 Sep 2008, 18:48
15 Experts publish their posts in the topic M04 # 32 dczuchta 15 22 Sep 2008, 18:43
3 Experts publish their posts in the topic m04 Q23 vishy007 12 14 Sep 2008, 05:12
22 Experts publish their posts in the topic M04 #12 Tvisha 93 10 Aug 2008, 11:56
Display posts from previous: Sort by

M04 #10

  Question banks Downloads My Bookmarks Reviews Important topics  

Go to page    1   2    Next  [ 25 posts ] 

Moderators: Bunuel, WoundedTiger



cron

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

Powered by phpBB © phpBB Group and phpBB SEO

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®.