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

 It is currently 06 May 2015, 15:10

### 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 June
Open Detailed Calendar

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

Author Message
TAGS:
Manager
Joined: 13 May 2010
Posts: 114
Followers: 1

Kudos [?]: 20 [0], given: 7

How many three-digit integers are not divisible by 3 ? [#permalink]  12 Jun 2010, 11:02
1
This post was
BOOKMARKED
00:00

Difficulty:

35% (medium)

Question Stats:

64% (02:06) correct 36% (01:16) wrong based on 187 sessions
How many three-digit integers are not divisible by 3 ?

A. 599
B. 600
C. 601
D. 602
E. 603
[Reveal] Spoiler: OA
Math Expert
Joined: 02 Sep 2009
Posts: 27238
Followers: 4237

Kudos [?]: 41157 [3] , given: 5672

Re: GMAT Club - [t]m16#11[/t] [#permalink]  12 Jun 2010, 11:54
3
KUDOS
Expert's post
2
This post was
BOOKMARKED
gmatcracker2010 wrote:
How many three-digit integers are not divisible by 3 ?

* 599
* 600
* 601
* 602
* 603

OA is
[Reveal] Spoiler:
b

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: 464
Concentration: Marketing, Finance
GMAT 1: Q V0
GPA: 3.23
Followers: 17

Kudos [?]: 258 [2] , given: 11

Re: How many three-digit integers are not divisible by 3 ? [#permalink]  20 Dec 2012, 21:10
2
KUDOS
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.

GMAT Club Legend
Joined: 09 Sep 2013
Posts: 4790
Followers: 296

Kudos [?]: 52 [0], given: 0

Re: How many three-digit integers are not divisible by 3 ? [#permalink]  09 Jul 2014, 06:07
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
Re: How many three-digit integers are not divisible by 3 ?   [#permalink] 09 Jul 2014, 06:07
Similar topics Replies Last post
Similar
Topics:
13 How many positive three-digit integers are divisible by both 8 16 May 2012, 11:04
1 How many odd three-digit integers 15 23 Sep 2008, 06:01
How many three-digit integers are not divisible by 3 ? 599 6 04 Aug 2008, 09:46
How many 3 digit integers are not divisible by 3? 599 600 4 05 Nov 2007, 10:02
How many integers are divisible by 3 are there between 10! 2 02 Nov 2007, 05:46
Display posts from previous: Sort by