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

It is currently 15 Sep 2014, 21:02

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

If x is an integer and |1-x|<2 then which of the following

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
3 KUDOS received
Senior Manager
Senior Manager
avatar
Joined: 06 Aug 2011
Posts: 409
Followers: 2

Kudos [?]: 60 [3] , given: 82

If x is an integer and |1-x|<2 then which of the following [#permalink] New post 03 Sep 2012, 22:59
3
This post received
KUDOS
5
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  95% (hard)

Question Stats:

37% (02:39) correct 63% (01:26) wrong based on 711 sessions
If x is an integer and |1-x|<2 then which of the following must be true?

A. x is not a prime number
B. x^2+x is not a prime number
C. x is positive
D. Number of distinct positive factors of x+2 is a prime number
E. x is not a multiple of an odd prime number
[Reveal] Spoiler: OA

_________________

Bole So Nehal.. Sat Siri Akal.. Waheguru ji help me to get 700+ score !


Last edited by Bunuel on 04 Sep 2012, 02:03, edited 1 time in total.
Renamed the topic and edited the question.
5 KUDOS received
Senior Manager
Senior Manager
avatar
Joined: 15 Jun 2010
Posts: 363
Schools: IE'14, ISB'14, Kellogg'15
WE 1: 7 Yrs in Automobile (Commercial Vehicle industry)
Followers: 7

Kudos [?]: 161 [5] , given: 50

GMAT Tests User Reviews Badge
Re: If x is an integer and |1−x|<2 [#permalink] New post 04 Sep 2012, 01:11
5
This post received
KUDOS
1
This post was
BOOKMARKED
sanjoo wrote:
If x is an integer and |1−x|<2 then which of the following must be true?

A) x is not a prime number
B) x^2+x is not a prime number
C) x is positive
D) Number of distinct positive factors of x+2 is a prime number
E) x is not a multiple of an odd prime number


|1−x|<2 = -2<(1-x)<2
= -3<-x<1
= 3>x>-1
So x can hold values of 0,1 & 2 to satisfy the condition. Now we can evaluate the choices.
A) 1 & 2 primes, so incorrect
B) 1^2+1=2 is a prime, so incorrect
C) 0 is not +ve, So incorrect
D) x+2= 2,3,or 4, here 2 has 2 factor(prime), 3 has 2 factor (prime) & 4 has 3factors (prime). Hence correct choice.
E) 2 is multiple of 1. So incorrect.

Hence Answer D.
_________________

Regards
SD
-----------------------------
Press Kudos if you like my post.
Debrief 610-540-580-710(Long Journey): from-600-540-580-710-finally-achieved-in-4th-attempt-142456.html

Expert Post
4 KUDOS received
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 26591
Followers: 3487

Kudos [?]: 26170 [4] , given: 2706

Re: If x is an integer and |1−x|<2 [#permalink] New post 04 Sep 2012, 02:02
4
This post received
KUDOS
Expert's post
sanjoo wrote:
If x is an integer and |1−x|<2 then which of the following must be true?

A) x is not a prime number
B) x^2+x is not a prime number
C) x is positive
D) Number of distinct positive factors of x+2 is a prime number
E) x is not a multiple of an odd prime number


If x is an integer and |1-x|<2 then which of the following must be true?

|1-x| is just the distance between 1 and x on the number line. We are told that this distance is less than 2: --(-1)----1----3-- so, -1<x<3. Since given that x is an integer then x can be 0, 1 or 2.

A. x is not a prime number. Not true if x=2.
B. x^2+x is not a prime number. Not true if x=1.
C. x is positive. Not true if x=0.
D. Number of distinct positive factors of x+2 is a prime number. True for all three values of x.
E. x is not a multiple of an odd prime number. Not true if x=0, since zeo is a multiple of every integer except zero itself.

Answer: D.
_________________

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

Intern
Intern
avatar
Joined: 12 Mar 2013
Posts: 5
Followers: 0

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

If x is an integer and |1-x|<2 then which of the following m [#permalink] New post 09 Jul 2013, 10:21
If x is an integer and |1-x|<2 then which of the following must be true?

A. x is not a prime number
B. x^2+x is not a prime number
C. x is positive
D. Number of distinct positive factors of x+2 is a prime number
E. x is not a multiple of an odd prime number


I am confused between D & E.
D seems perfectly correct.

My analysis:
-1<x<3
Possible values of x -> 0, 1 & 2
" E. x is not a multiple of an odd prime number"

x=0 - False as 0 is a multiple of any odd prime number
x=1 - False as 1 is a multiple of any odd prime number
x=2 - True as 2 is not a multiple of any odd prime number.

smallest odd prime number is "3".
So, when x=2 the statement is true.

Is there any flaw in my reasoning?
Expert Post
1 KUDOS received
Verbal Forum Moderator
Verbal Forum Moderator
User avatar
Joined: 10 Oct 2012
Posts: 627
Followers: 41

Kudos [?]: 577 [1] , given: 135

Premium Member
Re: If x is an integer and |1-x|<2 then which of the following m [#permalink] New post 09 Jul 2013, 11:17
1
This post received
KUDOS
Expert's post
mohitvarshney wrote:

My analysis:
-1<x<3
Possible values of x -> 0, 1 & 2
" E. x is not a multiple of an odd prime number"

x=0 - False as 0 is a multiple of any odd prime number
x=1 - True as 1 is NOT a multiple of any odd prime number
x=2 - True as 2 is not a multiple of any odd prime number.
smallest odd prime number is "3".
So, when x=2 the statement is true.

Is there any flaw in my reasoning?


Apart from the highlighted part, everything is correct. For the reason that you could demonstrate that option E is not valid for x=0, we can not have E as a correct answer for a Must be True type question.

1 is a factor of every integer, not a multiple of every integer.
_________________

All that is equal and not-Deep Dive In-equality

Hit and Trial for Integral Solutions

Intern
Intern
avatar
Joined: 12 Mar 2013
Posts: 5
Followers: 0

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

Re: If x is an integer and |1-x|<2 then which of the following m [#permalink] New post 09 Jul 2013, 12:38
mau5 wrote:
mohitvarshney wrote:

My analysis:
-1<x<3
Possible values of x -> 0, 1 & 2
" E. x is not a multiple of an odd prime number"

x=0 - False as 0 is a multiple of any odd prime number
x=1 - True as 1 is NOT a multiple of any odd prime number
x=2 - True as 2 is not a multiple of any odd prime number.
smallest odd prime number is "3".
So, when x=2 the statement is true.

Is there any flaw in my reasoning?


Apart from the highlighted part, everything is correct. For the reason that you could demonstrate that option E is not valid for x=0, we can not have E as a correct answer for a Must be True type question.

1 is a factor of every integer, not a multiple of every integer.



Yup I got my mistake. It is a "Must be true" question.
Thanks a lot.
Expert Post
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 26591
Followers: 3487

Kudos [?]: 26170 [0], given: 2706

Re: If x is an integer and |1-x|<2 then which of the following [#permalink] New post 21 Aug 2013, 02:57
Expert's post
PiyushK wrote:
Hi Bunuel,

I have a doubt, as per this thread D is the correct answer.
I calculated the range of x as -1<x<3, further option D says :
D. Number of distinct positive factors of x+2 is a prime number
for x=0 x+2 = 2 => distinct positive factors are 1 and 2
for x=1 x+2 = 3 => distinct positive factors are 1 and 3
for x=2 x+2 = 4 => distinct positive factors are 1 and 2

2,3 are prime numbers but 1 is not a prime number as per rule/definition.

Therefor I think D is also not a well articulated option.

Could you please share your opinion on this.

Regards,
PiyushK

Subject: If x is an integer and |1-x|<2 then which of the following

Bunuel wrote:
sanjoo wrote:
If x is an integer and |1−x|<2 then which of the following must be true?

A) x is not a prime number
B) x^2+x is not a prime number
C) x is positive
D) Number of distinct positive factors of x+2 is a prime number
E) x is not a multiple of an odd prime number


If x is an integer and |1-x|<2 then which of the following must be true?

|1-x| is just the distance between 1 and x on the number line. We are told that this distance is less than 2: --(-1)----1----3-- so, -1<x<3. Since given that x is an integer then x can be 0, 1 or 2.

A. x is not a prime number. Not true if x=2.
B. x^2+x is not a prime number. Not true if x=1.
C. x is positive. Not true if x=0.
D. Number of distinct positive factors of x+2 is a prime number. True for all three values of x.
E. x is not a multiple of an odd prime number. Not true if x=0, since zeo is a multiple of every integer except zero itself.

Answer: D.


Responding to pm.

D. Number of distinct positive factors of x+2 is a prime number. x+2 is 2, 3, or 4.

2 has 2 factors 1 and 2.
3 has 2 factors 1 and 3.
4 has 3 factors 1, 2 and 4.

The number of factors of each number is a prime number.

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

Intern
Intern
avatar
Joined: 11 Feb 2014
Posts: 1
Followers: 0

Kudos [?]: 0 [0], given: 8

GMAT ToolKit User
Re: If x is an integer and |1-x|<2 then which of the following [#permalink] New post 14 Apr 2014, 03:06
Bunuel,

Why does 2 have 2 factors? I thought the smallest factor of any number was 2.. Is there a definition difference that I am missing?

Thanks for the reply!
Expert Post
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 26591
Followers: 3487

Kudos [?]: 26170 [0], given: 2706

Re: If x is an integer and |1-x|<2 then which of the following [#permalink] New post 14 Apr 2014, 03:31
Expert's post
demandi wrote:
Bunuel,

Why does 2 have 2 factors? I thought the smallest factor of any number was 2.. Is there a definition difference that I am missing?

Thanks for the reply!


A factor is a positive integer which divides some integer without a remainder. Thus the smallest factor of any integer is 1.

The factors of 2 are 1 and 2.
_________________

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

Intern
Intern
avatar
Joined: 11 Dec 2013
Posts: 7
Followers: 0

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

Re: If x is an integer and |1-x|<2 then which of the following [#permalink] New post 22 May 2014, 02:53
I think E ist also correct. as number 1 is not considered prime, as it has only one factor (itself).

Except if 0 is a multiple of every number!

Last edited by dansa on 22 May 2014, 02:58, edited 1 time in total.
Expert Post
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 26591
Followers: 3487

Kudos [?]: 26170 [0], given: 2706

Re: If x is an integer and |1-x|<2 then which of the following [#permalink] New post 22 May 2014, 02:58
Expert's post
dansa wrote:
E ist also correct1 The question is flawed!!

number 1 is not considered prime, as it has only one factor (itself).


Yes, 1 is NOT prime but it has nothing to do with option E.

E says: x is not a multiple of an odd prime number. IF x=0, then this option is not always true because 0 is a multiple of every integer except 0 itself, hence it's a multiple of all odd primes: 3, 5, 7, ....
_________________

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

Intern
Intern
avatar
Joined: 11 Dec 2013
Posts: 7
Followers: 0

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

Re: If x is an integer and |1-x|<2 then which of the following [#permalink] New post 22 May 2014, 03:00
I just understood that 0 is considered a multiple of every number.
Thanks :)
Intern
Intern
avatar
Joined: 10 Mar 2013
Posts: 11
Followers: 0

Kudos [?]: 0 [0], given: 16

Premium Member
Re: If x is an integer and |1−x|<2 [#permalink] New post 09 Jun 2014, 13:10
This might be a naive question and also highlights a gap in my understand but can you please explain how |1−x|<2 translates into "-2<(1-x)<2". Thank you.



SOURH7WK wrote:
sanjoo wrote:
If x is an integer and |1−x|<2 then which of the following must be true?

A) x is not a prime number
B) x^2+x is not a prime number
C) x is positive
D) Number of distinct positive factors of x+2 is a prime number
E) x is not a multiple of an odd prime number


|1−x|<2 = -2<(1-x)<2
= -3<-x<1
= 3>x>-1
So x can hold values of 0,1 & 2 to satisfy the condition. Now we can evaluate the choices.
A) 1 & 2 primes, so incorrect
B) 1^2+1=2 is a prime, so incorrect
C) 0 is not +ve, So incorrect
D) x+2= 2,3,or 4, here 2 has 2 factor(prime), 3 has 2 factor (prime) & 4 has 3factors (prime). Hence correct choice.
E) 2 is multiple of 1. So incorrect.

Hence Answer D.
Expert Post
1 KUDOS received
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 26591
Followers: 3487

Kudos [?]: 26170 [1] , given: 2706

Re: If x is an integer and |1−x|<2 [#permalink] New post 10 Jun 2014, 05:56
1
This post received
KUDOS
Expert's post
farhanabad wrote:
This might be a naive question and also highlights a gap in my understand but can you please explain how |1−x|<2 translates into "-2<(1-x)<2". Thank you.



SOURH7WK wrote:
sanjoo wrote:
If x is an integer and |1−x|<2 then which of the following must be true?

A) x is not a prime number
B) x^2+x is not a prime number
C) x is positive
D) Number of distinct positive factors of x+2 is a prime number
E) x is not a multiple of an odd prime number


|1−x|<2 = -2<(1-x)<2
= -3<-x<1
= 3>x>-1
So x can hold values of 0,1 & 2 to satisfy the condition. Now we can evaluate the choices.
A) 1 & 2 primes, so incorrect
B) 1^2+1=2 is a prime, so incorrect
C) 0 is not +ve, So incorrect
D) x+2= 2,3,or 4, here 2 has 2 factor(prime), 3 has 2 factor (prime) & 4 has 3factors (prime). Hence correct choice.
E) 2 is multiple of 1. So incorrect.

Hence Answer D.


|1 − x| < 2:

(1 - x) < 2;
-(1 - x) < 2 --> -2 < 1 - x

Hence -2 < 1 - x < 2.

Theory on Abolute Values: math-absolute-value-modulus-86462.html

DS Abolute Values Questions to practice: search.php?search_id=tag&tag_id=37
PS Abolute Values Questions to practice: search.php?search_id=tag&tag_id=58

Hard set on Abolute Values: inequality-and-absolute-value-questions-from-my-collection-86939.html


Hope this helps.
_________________

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

Intern
Intern
avatar
Joined: 10 Mar 2013
Posts: 11
Followers: 0

Kudos [?]: 0 [0], given: 16

Premium Member
Re: If x is an integer and |1−x|<2 [#permalink] New post 10 Jun 2014, 06:07
Bunuel - Thank you very much. It absolutely helps (no pun intended); and like I said there is a gap in my understanding since I believed that the absolute value of anything is always positive, hence I was viewing |x-1| as simply (x-1) and did not consider -(x-1). Thanks again.
Expert Post
1 KUDOS received
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 26591
Followers: 3487

Kudos [?]: 26170 [1] , given: 2706

Re: If x is an integer and |1−x|<2 [#permalink] New post 10 Jun 2014, 06:10
1
This post received
KUDOS
Expert's post
farhanabad wrote:
Bunuel - Thank you very much. It absolutely helps (no pun intended); and like I said there is a gap in my understanding since I believed that the absolute value of anything is always positive, hence I was viewing |x-1| as simply (x-1) and did not consider -(x-1). Thanks again.


Absolute value of any number, expression, is more than or equal to zero but the expression in the modulus can be negative as well as positive. So, |x-1|\geq{0} but x-1 can be positive negative or 0.
_________________

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

Intern
Intern
avatar
Joined: 17 Oct 2013
Posts: 45
Location: India
Concentration: Strategy, Social Entrepreneurship
GMAT 1: 680 Q47 V37
GMAT 2: 730 Q49 V40
GPA: 3.5
WE: Business Development (Computer Software)
Followers: 0

Kudos [?]: 12 [0], given: 543

Re: If x is an integer and |1-x|<2 then which of the following [#permalink] New post 11 Jun 2014, 02:16
Bunuel wrote:
dansa wrote:
E ist also correct1 The question is flawed!!

number 1 is not considered prime, as it has only one factor (itself).


Yes, 1 is NOT prime but it has nothing to do with option E.

E says: x is not a multiple of an odd prime number. IF x=0, then this option is not always true because 0 is a multiple of every integer except 0 itself, hence it's a multiple of all odd primes: 3, 5, 7, ....


Bunnel, where do the multiples start for an integer? Say for 3
Do they start at 0 or should the negative multiples be considered too?
0 being the multilple of every integer is certainly a revelation to me. Thanks for that!
Btw, zero has no multiples then?
Expert Post
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 26591
Followers: 3487

Kudos [?]: 26170 [0], given: 2706

Re: If x is an integer and |1-x|<2 then which of the following [#permalink] New post 11 Jun 2014, 02:29
Expert's post
Kconfused wrote:
Bunuel wrote:
dansa wrote:
E ist also correct1 The question is flawed!!

number 1 is not considered prime, as it has only one factor (itself).


Yes, 1 is NOT prime but it has nothing to do with option E.

E says: x is not a multiple of an odd prime number. IF x=0, then this option is not always true because 0 is a multiple of every integer except 0 itself, hence it's a multiple of all odd primes: 3, 5, 7, ....


Bunnel, where do the multiples start for an integer? Say for 3
Do they start at 0 or should the negative multiples be considered too?
0 being the multilple of every integer is certainly a revelation to me. Thanks for that!
Btw, zero has no multiples then?


Yes, no number is a multiple of 0.

As for negative multiples: multiples of 3 are: ..., -6, -3, 0, 3, 6, ... But you should not worry about it since every GMAT divisibility question will tell you in advance that any unknowns represent positive integers, which means that ALL GMAT divisibility questions are limited to positive integers only.
_________________

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

Re: If x is an integer and |1-x|<2 then which of the following   [#permalink] 11 Jun 2014, 02:29
    Similar topics Author Replies Last post
Similar
Topics:
If x is an integer and |1-x|<2 then which of the following m mohitvarshney 0 09 Jul 2013, 12:38
8 Experts publish their posts in the topic x and y are positive integers. If 1/x + 1/y < 2, which of barakhaiev 12 05 Sep 2009, 09:59
x, y are positive integers, if 1/x + 1/y <2, which of the sondenso 9 12 May 2008, 23:48
X and Y are positive integers. If 1/x + 1/y < 2, which of bmwhype2 12 22 Nov 2007, 04:34
If (-1)*X=1,which of the following is an integer? 1)X/(2+X) Yurik79 4 24 Jan 2006, 23:34
Display posts from previous: Sort by

If x is an integer and |1-x|<2 then which of the following

  Question banks Downloads My Bookmarks Reviews Important topics  


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®.