How many positive three-digit positive integers are : PS Archive
Check GMAT Club Decision Tracker for the Latest School Decision Releases http://gmatclub.com/AppTrack

 It is currently 24 Jan 2017, 15:04

### 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 positive three-digit positive integers are

Author Message
GMAT Instructor
Joined: 04 Jul 2006
Posts: 1264
Followers: 29

Kudos [?]: 298 [0], given: 0

How many positive three-digit positive integers are [#permalink]

### Show Tags

19 Sep 2006, 12:43
00:00

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 1 sessions

### HideShow timer Statistics

This topic is locked. If you want to discuss this question please re-post it in the respective forum.

How many positive three-digit positive integers are multiples of 6, 9 and 7?

(A) 3 (B) 4 (C) 6 (D) 7 (E) 8

Last edited by kevincan on 19 Sep 2006, 13:11, edited 1 time in total.
VP
Joined: 02 Jun 2006
Posts: 1267
Followers: 2

Kudos [?]: 80 [0], given: 0

### Show Tags

19 Sep 2006, 13:06
(D) 7

I am presuming multiples of 6 & 7 & 9, not independently.

LCM (6,7,9) = 126

Three digit +ve integers... {100... 999}

First multiple of 126 after 100 = 126

Last multiple of 126 < 999 = 882

# of multiples = (882-126)/126 +1 (inclusive)
= 7-1 +1 = 7

SVP
Joined: 05 Jul 2006
Posts: 1743
Followers: 6

Kudos [?]: 318 [0], given: 49

### Show Tags

20 Sep 2006, 04:31
How many positive three-digit positive integers are multiples of 6, 9 and 7?

(A) 3 (B) 4 (C) 6 (D) 7 (E) 8

the intiger will be in the form of LCM OF (6,9,7)*K WHERE K IS ANY POSITIVE INTIGER

lcm = 7*3^2*2 = 126

now lets name our intiger K

126 < 126K<999
1< K <7.9...K COULD ONLY BE INTIGER , THUS 1=<K=<7
NUMBER OF MULTIPLES IS THUS 7-1+1 = 7
SVP
Joined: 05 Jul 2006
Posts: 1743
Followers: 6

Kudos [?]: 318 [0], given: 49

### Show Tags

20 Sep 2006, 21:34
Kevin .. would u plz send OA...THANKS IN ADVANCE
Manager
Joined: 13 Sep 2006
Posts: 198
Schools: Olin Business School - Washington University
Followers: 1

Kudos [?]: 51 [0], given: 0

### Show Tags

20 Sep 2006, 22:38
Got 7 too, but muscled thru it, not the most efficient way. I like your explanation Yezz...
SVP
Joined: 05 Jul 2006
Posts: 1743
Followers: 6

Kudos [?]: 318 [0], given: 49

### Show Tags

21 Sep 2006, 01:13
Die Gmat....thanks man..........i had no clue about this way before joining our forum here so thanks to Gmat club and each and every member in it.
21 Sep 2006, 01:13
Display posts from previous: Sort by

# How many positive three-digit positive integers are

 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®.