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

It is currently 24 Jan 2019, 00:39

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 in January
PrevNext
SuMoTuWeThFrSa
303112345
6789101112
13141516171819
20212223242526
272829303112
Open Detailed Calendar
  • Key Strategies to Master GMAT SC

     January 26, 2019

     January 26, 2019

     07:00 AM PST

     09:00 AM PST

    Attend this webinar to learn how to leverage Meaning and Logic to solve the most challenging Sentence Correction Questions.
  • Free GMAT Number Properties Webinar

     January 27, 2019

     January 27, 2019

     07:00 AM PST

     09:00 AM PST

    Attend this webinar to learn a structured approach to solve 700+ Number Properties question in less than 2 minutes.

Everything you need to know about ‘0’ for GMAT

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

Hide Tags

Theory   
 
Retired Moderator
User avatar
P
Status: The best is yet to come.....
Joined: 10 Mar 2013
Posts: 498
GMAT ToolKit User
Everything you need to know about ‘0’ for GMAT  [#permalink]

Show Tags

New post 04 Oct 2016, 21:13
4
4
Everything you need to know about ‘0’ for GMAT

\(0\) is an integer.
\(0\) is an even integer.
\(0\) is not Prime Number.
\(0\) is not a natural number.
\(0\) is the only number that is neither positive nor negative.
\(0\) is the only number that is equal to its opposite; \(0=-0\).

\(0\) is multiple of every integer; \(0*2=0\)
\(0\) is the FIRST multiple of any number but NOT the FIRST POSITIVE multiple.
\(0\) is not a factor of any integer EXCEPT \(0\). OG 208

\(\frac{a}{0}=\) meaningless,undefined
\(\frac{0}{0}=\) indeterminate
\(\frac{0}{a}=0\)

\(0\) is a perfect square and also perfect cube.
\(0\) is the only number that when raised to the zero power does not necessarily equal to 1; \(0^0≠1\).

\(0^0\) is indeterminate and never appear on the GMAT
\(0^n=0 (n\neq{0})\)
\(n^0=1 (n\neq{0})\)
\(0^0≠1\)

\(0!=1\)
_________________

Hasan Mahmud

Senior DS Moderator
User avatar
V
Joined: 27 Oct 2017
Posts: 1199
Location: India
Concentration: International Business, General Management
GPA: 3.64
WE: Business Development (Energy and Utilities)
Premium Member CAT Tests
Re: Everything you need to know about ‘0’ for GMAT  [#permalink]

Show Tags

New post 10 Jan 2018, 07:43
is zero a factor of zero?

Mahmud6 wrote:
Everything you need to know about ‘0’ for GMAT

\(0\) is an integer.
\(0\) is an even integer.
\(0\) is not Prime Number.
\(0\) is not a natural number.
\(0\) is the only number that is neither positive nor negative.
\(0\) is the only number that is equal to its opposite; \(0=-0\).

\(0\) is multiple of every integer; \(0*2=0\)
\(0\) is the FIRST multiple of any number but NOT the FIRST POSITIVE multiple.
\(0\) is not a factor of any integer EXCEPT \(0\). OG 208

\(\frac{a}{0}=\) meaningless,undefined
\(\frac{0}{0}=\) indeterminate
\(\frac{0}{a}=0\)

\(0\) is a perfect square and also perfect cube.
\(0\) is the only number that when raised to the zero power does not necessarily equal to 1; \(0^0≠1\).

\(0^0\) is indeterminate and never appear on the GMAT
\(0^n=0 (n\neq{0})\)
\(n^0=1 (n\neq{0})\)
\(0^0≠1\)

\(0!=1\)

_________________

Win GMAT CLUB Test- Weekly Quant Quiz Contest
Weekly Quant Quiz Questions- Direct Download
SC: Confusable words

All you need for Quant, GMAT PS Question Directory,GMAT DS Question Directory
Error log/Key Concepts
Combination Concept: Division into groups
Question of the Day (QOTD)
Free GMAT CATS

Senior DS Moderator
User avatar
V
Joined: 27 Oct 2017
Posts: 1199
Location: India
Concentration: International Business, General Management
GPA: 3.64
WE: Business Development (Energy and Utilities)
Premium Member CAT Tests
Re: Everything you need to know about ‘0’ for GMAT  [#permalink]

Show Tags

New post 10 Jan 2018, 07:51
1
@Mahmud6, "Please recheck your statement that zero is not a factor of any number except zero".


Zero is not a factor of anything, period. Look at it this way: for y to be a factor of x, you would check whether x/y = integer.
For example, 3 is a factor of 15 because 15/3 = 5, an integer. But n/0 = undefined, not an integer. Thus zero cannot be a factor of n, regardless of n's value. You cannot say that 0/0 = 0 just because zero is the numerator. The denominator of 0 makes 0/0 undefined.

https://www.manhattanprep.com/gmat/foru ... t4998.html



Please see this reply by Manhattan
gmatbusters wrote:
is zero a factor of zero?

Mahmud6 wrote:
Everything you need to know about ‘0’ for GMAT

\(0\) is an integer.
\(0\) is an even integer.
\(0\) is not Prime Number.
\(0\) is not a natural number.
\(0\) is the only number that is neither positive nor negative.
\(0\) is the only number that is equal to its opposite; \(0=-0\).

\(0\) is multiple of every integer; \(0*2=0\)
\(0\) is the FIRST multiple of any number but NOT the FIRST POSITIVE multiple.
\(0\) is not a factor of any integer EXCEPT \(0\). OG 208

\(\frac{a}{0}=\) meaningless,undefined
\(\frac{0}{0}=\) indeterminate
\(\frac{0}{a}=0\)

\(0\) is a perfect square and also perfect cube.
\(0\) is the only number that when raised to the zero power does not necessarily equal to 1; \(0^0≠1\).

\(0^0\) is indeterminate and never appear on the GMAT
\(0^n=0 (n\neq{0})\)
\(n^0=1 (n\neq{0})\)
\(0^0≠1\)

\(0!=1\)

_________________

Win GMAT CLUB Test- Weekly Quant Quiz Contest
Weekly Quant Quiz Questions- Direct Download
SC: Confusable words

All you need for Quant, GMAT PS Question Directory,GMAT DS Question Directory
Error log/Key Concepts
Combination Concept: Division into groups
Question of the Day (QOTD)
Free GMAT CATS

Retired Moderator
User avatar
P
Status: The best is yet to come.....
Joined: 10 Mar 2013
Posts: 498
GMAT ToolKit User
Everything you need to know about ‘0’ for GMAT  [#permalink]

Show Tags

New post Updated on: 11 Dec 2018, 09:16
1
gmatbusters wrote:
@Mahmud6, "Please recheck your statement that zero is not a factor of any number except zero".


Zero is not a factor of anything, period. Look at it this way: for y to be a factor of x, you would check whether x/y = integer.
For example, 3 is a factor of 15 because 15/3 = 5, an integer. But n/0 = undefined, not an integer. Thus zero cannot be a factor of n, regardless of n's value. You cannot say that 0/0 = 0 just because zero is the numerator. The denominator of 0 makes 0/0 undefined.

https://www.manhattanprep.com/gmat/foru ... t4998.html



Please see this reply by Manhattan
gmatbusters wrote:
is zero a factor of zero?

Mahmud6 wrote:
Everything you need to know about ‘0’ for GMAT

\(0\) is an integer.
\(0\) is an even integer.
\(0\) is not Prime Number.
\(0\) is not a natural number.
\(0\) is the only number that is neither positive nor negative.
\(0\) is the only number that is equal to its opposite; \(0=-0\).

\(0\) is multiple of every integer; \(0*2=0\)
\(0\) is the FIRST multiple of any number but NOT the FIRST POSITIVE multiple.
\(0\) is not a factor of any integer EXCEPT \(0\). OG 208

\(\frac{a}{0}=\) meaningless,undefined
\(\frac{0}{0}=\) indeterminate
\(\frac{0}{a}=0\)

\(0\) is a perfect square and also perfect cube.
\(0\) is the only number that when raised to the zero power does not necessarily equal to 1; \(0^0≠1\).

\(0^0\) is indeterminate and never appear on the GMAT
\(0^n=0 (n\neq{0})\)
\(n^0=1 (n\neq{0})\)
\(0^0≠1\)

\(0!=1\)

Hi gmatbusters

Thank you for raising an important question. +1 Kudos to you.

Seeing your post, I initially thought I might be incorrect. Intriguing a little bit more I searched on google and found following two wonderful writings.

http://curiouscheetah.com/BlogMath/is-z ... r-of-zero/
http://mathforum.org/library/drmath/view/68272.html

I think the above two links will help to understand the matter more clearly.

P.S.: I am not a math nerd. These write-up use a lot of math jargons, most of which I could not understand but understood the conclusion 'zero is unambiguously a factor of zero'.
_________________

Hasan Mahmud


Originally posted by Mahmud6 on 10 Jan 2018, 23:00.
Last edited by Mahmud6 on 11 Dec 2018, 09:16, edited 1 time in total.
Senior DS Moderator
User avatar
V
Joined: 27 Oct 2017
Posts: 1199
Location: India
Concentration: International Business, General Management
GPA: 3.64
WE: Business Development (Energy and Utilities)
Premium Member CAT Tests
Re: Everything you need to know about ‘0’ for GMAT  [#permalink]

Show Tags

New post 12 Jan 2018, 05:12
Dear Sir
I am so thankful to you that you have tabulated a number of useful information about the most important integer, the ZERO INTEGER

As per official Quantitative review 2018, Factor/multiple is defined for non-zero integers.

so As far as GMAT is considered, zero is not a factor of any number including zero itself


Mahmud6 wrote:
Everything you need to know about ‘0’ for GMAT

\(0\) is an integer.
\(0\) is an even integer.
\(0\) is not Prime Number.
\(0\) is not a natural number.
\(0\) is the only number that is neither positive nor negative.
\(0\) is the only number that is equal to its opposite; \(0=-0\).

\(0\) is multiple of every integer; \(0*2=0\)
\(0\) is the FIRST multiple of any number but NOT the FIRST POSITIVE multiple.
\(0\) is not a factor of any integer EXCEPT \(0\). OG 208

\(\frac{a}{0}=\) meaningless,undefined
\(\frac{0}{0}=\) indeterminate
\(\frac{0}{a}=0\)

\(0\) is a perfect square and also perfect cube.
\(0\) is the only number that when raised to the zero power does not necessarily equal to 1; \(0^0≠1\).

\(0^0\) is indeterminate and never appear on the GMAT
\(0^n=0 (n\neq{0})\)
\(n^0=1 (n\neq{0})\)
\(0^0≠1\)

\(0!=1\)
[/quote][/quote]
Hi gmatbusters

Thank you for raising an important question. +1 Kudos to you.

Seeing your post, I initially thought I might be incorrect. Intriguing a little bit more I searched on google and found following two wonderful writings.

http://curiouscheetah.com/BlogMath/is-z ... r-of-zero/
http://mathforum.org/library/drmath/view/68272.html

I think the above two links will help to understand the matter more clearly.

P.S.: I am not a math nerd. These write-ups use a lot of math jargons, most of which I could not understand but understood the conclusion 'zero is unambiguously a factor of zero'.[/quote]
Attachments

2018-01-12 at 18-33-50.jpg
2018-01-12 at 18-33-50.jpg [ 32.69 KiB | Viewed 465 times ]


_________________

Win GMAT CLUB Test- Weekly Quant Quiz Contest
Weekly Quant Quiz Questions- Direct Download
SC: Confusable words

All you need for Quant, GMAT PS Question Directory,GMAT DS Question Directory
Error log/Key Concepts
Combination Concept: Division into groups
Question of the Day (QOTD)
Free GMAT CATS

GMAT Club Bot
Re: Everything you need to know about ‘0’ for GMAT &nbs [#permalink] 12 Jan 2018, 05:12
Display posts from previous: Sort by

Everything you need to know about ‘0’ for GMAT

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


Copyright

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®.