Last visit was: 15 Jul 2025, 00:24 It is currently 15 Jul 2025, 00:24
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
joyseychow
Joined: 04 Dec 2008
Last visit: 08 Jul 2010
Posts: 55
Own Kudos:
1,268
 [70]
Given Kudos: 2
Posts: 55
Kudos: 1,268
 [70]
5
Kudos
Add Kudos
65
Bookmarks
Bookmark this Post
Most Helpful Reply
User avatar
Jivana
Joined: 20 Mar 2008
Last visit: 26 Apr 2011
Posts: 340
Own Kudos:
427
 [21]
Given Kudos: 5
Posts: 340
Kudos: 427
 [21]
11
Kudos
Add Kudos
10
Bookmarks
Bookmark this Post
User avatar
Narenn
User avatar
Major Poster
Joined: 22 Feb 2012
Last visit: 14 Jul 2025
Posts: 9,070
Own Kudos:
10,861
 [20]
Given Kudos: 4,636
Affiliations: GMAT Club
Test: Test
Products:
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 9,070
Kudos: 10,861
 [20]
10
Kudos
Add Kudos
10
Bookmarks
Bookmark this Post
General Discussion
User avatar
bipolarbear
Joined: 11 Dec 2008
Last visit: 16 Sep 2013
Posts: 353
Own Kudos:
710
 [1]
Given Kudos: 12
Location: United States
GMAT 1: 760 Q49 V44
GPA: 3.9
GMAT 1: 760 Q49 V44
Posts: 353
Kudos: 710
 [1]
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
What is this AP formula? What does AP stand for? Thanks.
User avatar
Jivana
Joined: 20 Mar 2008
Last visit: 26 Apr 2011
Posts: 340
Own Kudos:
Given Kudos: 5
Posts: 340
Kudos: 427
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Arithmetic Progression!
User avatar
age
Joined: 15 Jun 2009
Last visit: 09 Jun 2010
Posts: 64
Own Kudos:
278
 [2]
Given Kudos: 8
Posts: 64
Kudos: 278
 [2]
Kudos
Add Kudos
2
Bookmarks
Bookmark this Post
Jivana
The series will be of the form: 101, 104, 107.....995, 998.

It will have a total of 300 terms: 999-100=899 + (1). = 900 (Take 1/3 of this, since only 1 term is there in every 3.) {There is a proper AP formula for this, but can't recall, so I'm doing it in a crude way.}

Now, sum = (1st number + nth number)/2 * n

= (101 + 998) / 2 * 300
= 1099 * 300 / 2
= 164, 840
So Ans = B

For these kind of problems, if one knows the AP formulas, then all needs to be done is setup a equation, and boom boom...
I do not think picking numbers will cut it for these types of PS.

Formula for n th term = a+(n-1)d
So here a = 101, d=3,n th term = 998

998 = 101 + (n-1)3 ..on solving n = 300 ....so there r 300 termsin the series...
User avatar
krishireddy
Joined: 03 Jun 2009
Last visit: 19 Dec 2010
Posts: 35
Own Kudos:
Given Kudos: 7
Posts: 35
Kudos: 43
Kudos
Add Kudos
Bookmarks
Bookmark this Post
bipolarbear
What is this AP formula? What does AP stand for? Thanks.

While Ap stands for Arithmetic Progression,

Nth term in the series = first term + (n-1) Common difference

Sum of the series = n/2 (First term + last term)
User avatar
kanusha
Joined: 25 Mar 2013
Last visit: 03 Aug 2017
Posts: 159
Own Kudos:
146
 [1]
Given Kudos: 101
Location: United States
Concentration: Entrepreneurship, Marketing
GPA: 3.5
Products:
Posts: 159
Kudos: 146
 [1]
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
My Thought : Integer Rules
My Understanding of this Question
Find the number , Upon Sum of 3 Digits of a number Gives a Reminder 2 when it is Divided by 3
Seeing the Options After Dividing an Finding the Reminder of 2
My Answer was C
My Answer was Wrong

But I Don't Understand Why there is need of AP , What's the Question is Testing :?: :(

Pls Help:)
avatar
bytatia
Joined: 19 Jan 2014
Last visit: 21 Dec 2014
Posts: 21
Own Kudos:
Given Kudos: 51
Posts: 21
Kudos: 58
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Hello. I'm sorry I'm just not sure in which section to post this kind of question.

I just have a question about remainders. When 2 is divided by 7, how come the remainder is 2? As 2/7 is 0.285714...
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 14 Jul 2025
Posts: 102,576
Own Kudos:
741,470
 [3]
Given Kudos: 98,190
Products:
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 102,576
Kudos: 741,470
 [3]
1
Kudos
Add Kudos
2
Bookmarks
Bookmark this Post
bytatia
Hello. I'm sorry I'm just not sure in which section to post this kind of question.

I just have a question about remainders. When 2 is divided by 7, how come the remainder is 2? As 2/7 is 0.285714...

Let me ask you a question: how many leftover apples would you have if you had 2 apples and wanted to distribute in 7 baskets evenly? Each basket would get 0 apples and 2 apples would be leftover (remainder).

When a divisor is more than dividend, then the remainder equals to the dividend, for example:
3 divided by 4 yields the reminder of 3: \(3=4*0+3\);
9 divided by 14 yields the reminder of 9: \(9=14*0+9\);
1 divided by 9 yields the reminder of 1: \(1=9*0+1\).

Theory on remainders problems: remainders-144665.html

All DS remainders problems to practice: search.php?search_id=tag&tag_id=198
All PS remainders problems to practice: search.php?search_id=tag&tag_id=199
User avatar
jlgdr
Joined: 06 Sep 2013
Last visit: 24 Jul 2015
Posts: 1,316
Own Kudos:
2,722
 [4]
Given Kudos: 355
Concentration: Finance
Posts: 1,316
Kudos: 2,722
 [4]
4
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Should be straightforward...

101....104...107...110....998

Now, first lets find the number of terms

998 - 101 = 897 / 3 = 299 + 1 = 300 terms

Now then, lets find the average

998 + 101 = 549.5

Now multiply (549.65)(300)= 164,850

Answer is B

Hope this clarifies
Cheers
J :)
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Reading through question is key here :
Given sum of three digit numbers : the smallest three digit is 100 but the condition is when number is divided by 3 the remainder must be 2 hence the series will begin from 101 till the largest three digit number (when divided by 3 gives remainder 2) i.e. 998.

to find the sum of AP : N/2 (a + l) where N is number of terms , a is first term here its 101 and l is last term of series here its 998.
to calculate N = (last term - first number)/3 + 1
hence N = 300
Sum = 300/2 (101 + 998)
Hence answer is B

Queries are encouraged :)
avatar
Valrus
Joined: 18 Feb 2014
Last visit: 12 Jan 2023
Posts: 2
Own Kudos:
Given Kudos: 5
Posts: 2
Kudos: 5
Kudos
Add Kudos
Bookmarks
Bookmark this Post
The right answer could be found by 5 steps:
1. The First term - 101 and the last one - 998
2. Their sum - 1099 and their difference - 897
3. The number of terms: 897/3+1 = 300
4. The number of pairs: 300/2 = 150
5. Sum of pairs = 150*1099 = 164850

Hence B
avatar
sagnik2422
Joined: 20 May 2014
Last visit: 20 Jan 2015
Posts: 27
Own Kudos:
Given Kudos: 1
Posts: 27
Kudos: 20
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Valrus
The right answer could be found by 5 steps:
1. The First term - 101 and the last one - 998
2. Their sum - 1099 and their difference - 897
3. The number of terms: 897/3+1 = 300
4. The number of pairs: 300/2 = 150
5. Sum of pairs = 150*1099 = 164850

Hence B

In step 3, why are we dividing by 3 + 1 ?
User avatar
oss198
Joined: 18 Jul 2013
Last visit: 01 Jan 2023
Posts: 69
Own Kudos:
Given Kudos: 120
Location: Italy
GMAT 1: 600 Q42 V31
GMAT 2: 700 Q48 V38
GPA: 3.75
GMAT 2: 700 Q48 V38
Posts: 69
Kudos: 401
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Narenn
4) Formula to calculate number of terms in the sequence with common difference 3 is
(i) Including both ends [(last term - first term)/3] + 1

Hi,

could you explain the logic in this formula?
my mistake was to take (last term - first term+1)/3
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 14 Jul 2025
Posts: 102,576
Own Kudos:
741,470
 [1]
Given Kudos: 98,190
Products:
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 102,576
Kudos: 741,470
 [1]
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
oss198
Narenn
4) Formula to calculate number of terms in the sequence with common difference 3 is
(i) Including both ends [(last term - first term)/3] + 1

Hi,

could you explain the logic in this formula?
my mistake was to take (last term - first term+1)/3

The following post might help: how-many-multiples-of-4-are-there-between-12-and-94862.html#p730075
User avatar
Skywalker18
User avatar
Retired Moderator
Joined: 08 Dec 2013
Last visit: 15 Nov 2023
Posts: 2,052
Own Kudos:
9,692
 [7]
Given Kudos: 171
Status:Greatness begins beyond your comfort zone
Location: India
Concentration: General Management, Strategy
GPA: 3.2
WE:Information Technology (Consulting)
Products:
Posts: 2,052
Kudos: 9,692
 [7]
3
Kudos
Add Kudos
4
Bookmarks
Bookmark this Post
First term in AP,a = 101 = 33*3 + 2
Last term in AP,l = 998= 332*3 + 2
Number of terms in sequence
= 332- 33+1
= 300
Sum of n terms in AP
= number of terms/2 *[a+l]
= 300/2 *[101 + 998]
=150 * 1099
=164850
Answer B
User avatar
stonecold
Joined: 12 Aug 2015
Last visit: 09 Apr 2024
Posts: 2,248
Own Kudos:
Given Kudos: 893
GRE 1: Q169 V154
GRE 1: Q169 V154
Posts: 2,248
Kudos: 3,468
Kudos
Add Kudos
Bookmarks
Bookmark this Post
The series is => 101+...998
Number of terms => 300
sum => 300/2 * [101+998]
hence sum => 164850 i.e. option B
User avatar
stonecold
Joined: 12 Aug 2015
Last visit: 09 Apr 2024
Posts: 2,248
Own Kudos:
Given Kudos: 893
GRE 1: Q169 V154
GRE 1: Q169 V154
Posts: 2,248
Kudos: 3,468
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Here is what i did =>
here the series is => 101+104+.....998 number of terms =300 (using An=A+(n-1)D i.e. nth term of an AP formula)
Sum = 300/2 * (101+998)= 150*1099
Now Hold ON do not multiply
The last digit here is 0 and second last is 5 => Smash that B
User avatar
aks456
Joined: 20 Jul 2012
Last visit: 18 Aug 2016
Posts: 89
Own Kudos:
Given Kudos: 559
Location: India
WE:Information Technology (Computer Software)
Posts: 89
Kudos: 152
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
What is the sum of all 3 digit numbers that leave a remainder of '2' when divided by 3?

A. 897
B. 164,850
C. 164,749
D. 149,700
E. 156,720

Hi Bunnel,

I solved this question using the equations of Arithmetic progression. Is there an alternate way so that long multiplication can be avoided?

Thanks.
 1   2   
Moderators:
Math Expert
102576 posts
PS Forum Moderator
691 posts