GMAT Question of the Day: Daily via email | Daily via Instagram New to GMAT Club? Watch this Video

 It is currently 25 May 2020, 11:03

### 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

# How many of the positive integers less than 10,000 are divisible by 3

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

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 64111
How many of the positive integers less than 10,000 are divisible by 3  [#permalink]

### Show Tags

27 Nov 2019, 00:41
00:00

Difficulty:

75% (hard)

Question Stats:

50% (02:05) correct 50% (01:54) wrong based on 62 sessions

### HideShow timer Statistics

How many of the positive integers less than 10,000 are divisible by 3 or 5?

A. 4,666
B. 4,667
C. 5,132
D. 5,133
E. 5,332

Are You Up For the Challenge: 700 Level Questions

_________________
Math Expert
Joined: 02 Aug 2009
Posts: 8587
Re: How many of the positive integers less than 10,000 are divisible by 3  [#permalink]

### Show Tags

27 Nov 2019, 04:03
Bunuel wrote:
How many of the positive integers less than 10,000 are divisible by 3 or 5?

A. 4,666
B. 4,667
C. 5,132
D. 5,133
E. 5,332

Are You Up For the Challenge: 700 Level Questions

positive integers less than 10,000 that are divisible by 3 = $$\frac{9999}{3}=3333$$
positive integers less than 10,000 that are divisible by 5 = $$\frac{9995}{5}=1999$$

The total 3333+1999, that is 5332, has repetitions in the form of common multiple of 3 and 5..
positive integers less than 10,000 that are divisible by LCM(3,5) or 15 = $$\frac{9990}{15}=666$$

Total = $$5332-666=4666$$

A
_________________
GMAT Club Legend
Joined: 18 Aug 2017
Posts: 6268
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
Re: How many of the positive integers less than 10,000 are divisible by 3  [#permalink]

### Show Tags

27 Nov 2019, 09:39
integer <10,000 divisible by 3 ; 10,000/3 ; 3333
integer <10,000 divisible by 5; 1999
LCM ; 15 ; integer <10,000 divisible by 15 ; 666
so total integers less than 10,000 are divisible by 3 or 5 = 3333+1999 - 666 ; 4666
IMO A
Bunuel wrote:
How many of the positive integers less than 10,000 are divisible by 3 or 5?

A. 4,666
B. 4,667
C. 5,132
D. 5,133
E. 5,332

Are You Up For the Challenge: 700 Level Questions
CEO
Joined: 03 Jun 2019
Posts: 2890
Location: India
GMAT 1: 690 Q50 V34
WE: Engineering (Transportation)
Re: How many of the positive integers less than 10,000 are divisible by 3  [#permalink]

### Show Tags

28 Mar 2020, 10:11
Bunuel wrote:
How many of the positive integers less than 10,000 are divisible by 3 or 5?

A. 4,666
B. 4,667
C. 5,132
D. 5,133
E. 5,332

Are You Up For the Challenge: 700 Level Questions

Asked: How many of the positive integers less than 10,000 are divisible by 3 or 5?

Numbers divisible by 3 = {3,6,....9999} = 3333
Numbers divisible by 5 = {5,10,,,,9995} = 1999
Numbers divisible by 3*5 = 15 = {15,30,.....9990} = 666

Number of the positive integers less than 10,000 are divisible by 3 or 5 = 3333 + 1999 - 666 = 4666

IMO A
_________________
Kinshook Chaturvedi
Email: kinshook.chaturvedi@gmail.com
Re: How many of the positive integers less than 10,000 are divisible by 3   [#permalink] 28 Mar 2020, 10:11

# How many of the positive integers less than 10,000 are divisible by 3

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

 Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne