Last visit was: 24 Apr 2026, 12:37 It is currently 24 Apr 2026, 12:37
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
User avatar
bmwhype2
Joined: 21 Jan 2007
Last visit: 08 Mar 2010
Posts: 1,333
Own Kudos:
Given Kudos: 4
Location: New York City
Posts: 1,333
Kudos: 5,554
Kudos
Add Kudos
Bookmarks
Bookmark this Post
User avatar
bkk145
Joined: 10 Jun 2007
Last visit: 23 Feb 2014
Posts: 645
Own Kudos:
Posts: 645
Kudos: 1,801
Kudos
Add Kudos
Bookmarks
Bookmark this Post
User avatar
GK_Gmat
Joined: 09 Aug 2006
Last visit: 28 Feb 2009
Posts: 348
Own Kudos:
Posts: 348
Kudos: 1,078
Kudos
Add Kudos
Bookmarks
Bookmark this Post
User avatar
sonibubu
User avatar
Current Student
Joined: 20 Aug 2007
Last visit: 18 Aug 2011
Posts: 810
Own Kudos:
Given Kudos: 1
Location: Chicago
Concentration: Strategy, Management, Finance
Schools:Chicago Booth 2011
Posts: 810
Kudos: 158
Kudos
Add Kudos
Bookmarks
Bookmark this Post
GK_Gmat

D.

Last term = a + (n-1)d where a is the 1st term and d is the common difference.

1st 3 digit integer divisible by 7 = 105
last 3 digit integer divisible by 7 = 998

998 = 7 + (n-1)7

Solve for n = 128.


I think a = 105, not 7 since we are only looking for 3-digit terms
User avatar
r019h
Joined: 04 Jun 2007
Last visit: 07 Mar 2008
Posts: 145
Own Kudos:
Posts: 145
Kudos: 697
Kudos
Add Kudos
Bookmarks
Bookmark this Post
bmwhype2
How many 3 digits numbers are there so that each is evenly divisible by 7?

105
111
127
128
142


Do we use AP in this?


here's a faster way-
999-100+1= 900
900/7 = approx. 128
thus the answer is 128, took around 10 seconds.
User avatar
bmwhype2
Joined: 21 Jan 2007
Last visit: 08 Mar 2010
Posts: 1,333
Own Kudos:
Given Kudos: 4
Location: New York City
Posts: 1,333
Kudos: 5,554
Kudos
Add Kudos
Bookmarks
Bookmark this Post
User avatar
FN
User avatar
Current Student
Joined: 28 Dec 2004
Last visit: 07 May 2012
Posts: 1,575
Own Kudos:
Given Kudos: 2
Location: New York City
Concentration: Social Enterprise
Schools:Wharton'11 HBS'12
Posts: 1,575
Kudos: 687
Kudos
Add Kudos
Bookmarks
Bookmark this Post
I dont get this..

please help...

last term=994

first term=105

994=105+(n-1)14 since we are looking for even divisors of 7..

ok..so now i have n approx=64..

i think the answer should 64...howevr if the question asked about all the numbers that divide into 7..then i approx n=128
User avatar
bmwhype2
Joined: 21 Jan 2007
Last visit: 08 Mar 2010
Posts: 1,333
Own Kudos:
Given Kudos: 4
Location: New York City
Posts: 1,333
Kudos: 5,554
Kudos
Add Kudos
Bookmarks
Bookmark this Post
bkk145
bmwhype2
How many 3 digits numbers are there so that each is evenly divisible by 7?

105
111
127
128
142


Do we use AP in this?

7*15 = 105
7*142 = 994

From 15 to 142 inclusive
Ans = 142-15+1 = 128


how can we know that 994 is the highest number divisible by 7?

working backwards from 999 would take a long time. in addition, i am not sure where u pulled 142 from because there are no divisibility rules of 7 that i know of.
User avatar
bkk145
Joined: 10 Jun 2007
Last visit: 23 Feb 2014
Posts: 645
Own Kudos:
Posts: 645
Kudos: 1,801
Kudos
Add Kudos
Bookmarks
Bookmark this Post
bmwhype2
bkk145
bmwhype2
How many 3 digits numbers are there so that each is evenly divisible by 7?

105
111
127
128
142


Do we use AP in this?

7*15 = 105
7*142 = 994

From 15 to 142 inclusive
Ans = 142-15+1 = 128

how can we know that 994 is the highest number divisible by 7?

working backwards from 999 would take a long time. in addition, i am not sure where u pulled 142 from because there are no divisibility rules of 7 that i know of.


I did the division...
999/7 = 142.something
So you know that 142*7 must be the max number less than 999 that is divisible by 7
142*7 = 994
User avatar
bmwhype2
Joined: 21 Jan 2007
Last visit: 08 Mar 2010
Posts: 1,333
Own Kudos:
Given Kudos: 4
Location: New York City
Posts: 1,333
Kudos: 5,554
Kudos
Add Kudos
Bookmarks
Bookmark this Post
r019h
bmwhype2
How many 3 digits numbers are there so that each is evenly divisible by 7?

105
111
127
128
142


Do we use AP in this?

here's a faster way-
999-100+1= 900
900/7 = approx. 128
thus the answer is 128, took around 10 seconds.


nice but i think the closeness of the answer choices discourages this.

900/7 = 128.6xxx
hard to gamble with 128 or 127 in the answer choices...



Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Quantitative Questions Forum
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!