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

 It is currently 18 Dec 2018, 23:46

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

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

Events & Promotions

Events & Promotions in December
PrevNext
SuMoTuWeThFrSa
2526272829301
2345678
9101112131415
16171819202122
23242526272829
303112345
Open Detailed Calendar
• Happy Christmas 20% Sale! Math Revolution All-In-One Products!

December 20, 2018

December 20, 2018

10:00 PM PST

11:00 PM PST

This is the most inexpensive and attractive price in the market. Get the course now!
• Key Strategies to Master GMAT SC

December 22, 2018

December 22, 2018

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.

How many three-digit integers are not divisible by 3 ?

Author Message
TAGS:

Hide Tags

Manager
Joined: 13 May 2010
Posts: 99
How many three-digit integers are not divisible by 3 ?  [#permalink]

Show Tags

12 Jun 2010, 11:02
4
8
00:00

Difficulty:

45% (medium)

Question Stats:

64% (01:36) correct 36% (01:57) wrong based on 626 sessions

HideShow timer Statistics

How many three-digit integers are not divisible by 3 ?

A. 599
B. 600
C. 601
D. 602
E. 603
Math Expert
Joined: 02 Sep 2009
Posts: 51294
Re: GMAT Club - [t]m16#11[/t]  [#permalink]

Show Tags

12 Jun 2010, 11:54
5
5
gmatcracker2010 wrote:
How many three-digit integers are not divisible by 3 ?

* 599
* 600
* 601
* 602
* 603

OA is

Total 3 digit numbers: $$999-100+1=900$$.
Multiples of 3 in the range 100-999: $$\frac{999-102}{3}+1=300$$ (check this: totally-basic-94862.html#p730075).

{Total} - {# multiples of 3} = {# of not multiples of 3} --> $$900-300=600$$.

Hope it helps.
_________________
Senior Manager
Joined: 13 Aug 2012
Posts: 427
Concentration: Marketing, Finance
GPA: 3.23
Re: How many three-digit integers are not divisible by 3 ?  [#permalink]

Show Tags

20 Dec 2012, 21:10
5
1
What are our three-digit numbers?
$$100$$ to $$999$$

How many numbers from 1 to 999 are divisible by 3?
$$\frac{999}{3}=333$$
999-333 = 666 numbers NOT divisible by 3

How many numbers from 1 to 99 are divisible by 3?
$$\frac{99}{3}=33$$
99-33 = 66 numbers NOT divisible by 3

$$666-66=600$$ numbers are NOT divisible by 3 from 100 to 999

_________________

Impossible is nothing to God.

General Discussion
EMPOWERgmat Instructor
Status: GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 13111
Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: Q170 V170
Re: How many three-digit integers are not divisible by 3 ?  [#permalink]

Show Tags

24 Jun 2015, 10:48
Hi All,

While the original post goes back about 5 years (so a question such as this could very well have been edited/updated during that time), the 'intent' of the question is to ask about POSITIVE 3-digit integers (and not all 3-digit integers, which would include negative integers).

GMAT assassins aren't born, they're made,
Rich
_________________

760+: Learn What GMAT Assassins Do to Score at the Highest Levels
Contact Rich at: Rich.C@empowergmat.com

Rich Cohen

Co-Founder & GMAT Assassin

Special Offer: Save \$75 + GMAT Club Tests Free
Official GMAT Exam Packs + 70 Pt. Improvement Guarantee
www.empowergmat.com/

*****Select EMPOWERgmat Courses now include ALL 6 Official GMAC CATs!*****

CEO
Status: GMATINSIGHT Tutor
Joined: 08 Jul 2010
Posts: 2711
Location: India
GMAT: INSIGHT
WE: Education (Education)
Re: How many three-digit integers are not divisible by 3 ?  [#permalink]

Show Tags

23 Aug 2016, 20:32
1
gmatcracker2010 wrote:
How many three-digit integers are not divisible by 3 ?

A. 599
B. 600
C. 601
D. 602
E. 603

Total Single digit No. = 9 (1 to 9)
Total Two digit No. = 90 (10 to 99)
Total Single digit No. = 900 (100 to 999)

Total No. divisible by 3 from 1 through 999 = 999/3 = 333
Total No. divisible by 3 from 1 through 99 = 99/3 = 33

Total No. divisible by 3 from 100 through 999 = 333-33 = 300

So not divisible by 3 = 900-300 = 600

_________________

Prosper!!!
GMATinsight
Bhoopendra Singh and Dr.Sushma Jha
e-mail: info@GMATinsight.com I Call us : +91-9999687183 / 9891333772
Online One-on-One Skype based classes and Classroom Coaching in South and West Delhi
http://www.GMATinsight.com/testimonials.html

ACCESS FREE GMAT TESTS HERE:22 ONLINE FREE (FULL LENGTH) GMAT CAT (PRACTICE TESTS) LINK COLLECTION

Current Student
Joined: 12 Aug 2015
Posts: 2627
Schools: Boston U '20 (M)
GRE 1: Q169 V154
Re: How many three-digit integers are not divisible by 3 ?  [#permalink]

Show Tags

25 Aug 2016, 08:59
Here Number of terms => 999-100+1=> 900
Terms divisible by 3 => 999-102/3 +1 =? 333-34 +1=> 300

Terms not divisible by 3 => 900-300 => 600

NOTE=> number of terms divisible by 3 + number of not divisible by 3 = total terms

Smash that B
_________________

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!

Board of Directors
Joined: 17 Jul 2014
Posts: 2616
Location: United States (IL)
Concentration: Finance, Economics
GMAT 1: 650 Q49 V30
GPA: 3.92
WE: General Management (Transportation)
Re: How many three-digit integers are not divisible by 3 ?  [#permalink]

Show Tags

17 Apr 2017, 14:45
1
gmatcracker2010 wrote:
How many three-digit integers are not divisible by 3 ?

A. 599
B. 600
C. 601
D. 602
E. 603

first, let's find how many ARE divisible...
102 is the minimum one - it's the 34th multiple of 3.
999 is the maximum one - it's the 333 multiple of 3.
333-34 +1 (inclusive counting) = 300 numbers are divisible by 3.
now...we have 999 total numbers. we exclude the non 3 digit ones (from 1 to 99)
999-99=900
900-300=600
Intern
Joined: 22 Nov 2017
Posts: 10
Re: How many three-digit integers are not divisible by 3 ?  [#permalink]

Show Tags

16 Mar 2018, 03:34
Bunuel wrote:
gmatcracker2010 wrote:
How many three-digit integers are not divisible by 3 ?

* 599
* 600
* 601
* 602
* 603

OA is

Total 3 digit numbers: $$999-100+1=900$$.
Multiples of 3 in the range 100-999: $$\frac{999-102}{3}+1=300$$ (check this: http://gmatclub.com/forum/totally-basic ... ml#p730075).

{Total} - {# multiples of 3} = {# of not multiples of 3} --> $$900-300=600$$.

Hope it helps.

Total 3 digit numbers: 999−100+1=900999−100+1=900.
How to calculate total 3digit numbers?
Board of Directors
Status: Stepping into my 10 years long dream
Joined: 18 Jul 2015
Posts: 3625
Re: How many three-digit integers are not divisible by 3 ?  [#permalink]

Show Tags

16 Mar 2018, 03:49
1
Priyansha7 wrote:
Total 3 digit numbers: 999−100+1 = 900.
How to calculate total 3digit numbers?

Hey Priyansha7 ,

Total 3 digit numbers are all the numbers from 100 to 999.

So, Either I can say find out the numbers from 101 to 999 and add 1 to it for the number 100, which will be equal to 999-100 + 1 = 900

Or I can say Subtract first 99 numbers from 999 numbers = 999 - 99 = 900

Does that make sense?
_________________

My GMAT Story: From V21 to V40
My MBA Journey: My 10 years long MBA Dream
My Secret Hacks: Best way to use GMATClub | Importance of an Error Log!
Verbal Resources: All SC Resources at one place | All CR Resources at one place

GMAT Club Inbuilt Error Log Functionality - View More.
New Visa Forum - Ask all your Visa Related Questions - here.
New! Best Reply Functionality on GMAT Club!
Find a bug in the new email templates and get rewarded with 2 weeks of GMATClub Tests for free
Check our new About Us Page here.

Senior SC Moderator
Joined: 22 May 2016
Posts: 2223
How many three-digit integers are not divisible by 3 ?  [#permalink]

Show Tags

18 Mar 2018, 15:30
gmatcracker2010 wrote:
How many three-digit integers are not divisible by 3 ?

A. 599
B. 600
C. 601
D. 602
E. 603

Three-digit numbers range from 100 to 999

How many 3-digit numbers total?
Inclusive: (Greatest-Least) + 1
(999 - 100) = 899 + 1 = 900 numbers altogether

1) Find a pattern - divisible by 3? (digits must sum to 3 or a multiple of 3)
100: no
101: no
102: yes
103: no
104: no
105: yes

2 out of 3, $$\frac{2}{3}$$, are NOT divisible by 3

$$\frac{2}{3}*900 = 600$$

2) Use evenly spaced set's properties* to find how many numbers ARE divisible by 3, i.e. find how many are multiples of 3

Subtract those multiples of 3 from the total of 3-digit numbers

First and last multiples of 3 in this range?

The first multiple of 3 is 102
The last multiple of 3 is 999

Number of terms (multiples of 3) =

$$\frac{(Last Term-FirstTerm)}{Increment} + 1$$

$$(\frac{999-102}{3}+1)=(\frac{897}{3}+1)=(299+1)=300$$

There are 900 numbers from 100 to 999

300 ARE divisible by 3

(900-300) = 600 are NOT divisible by 3

*
How many three-digit integers are not divisible by 3 ? &nbs [#permalink] 18 Mar 2018, 15:30
Display posts from previous: Sort by