GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 15 Feb 2019, 17:50

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
Events & Promotions in February
PrevNext
SuMoTuWeThFrSa
272829303112
3456789
10111213141516
17181920212223
242526272812
Open Detailed Calendar
  • $450 Tuition Credit & Official CAT Packs FREE

     February 15, 2019

     February 15, 2019

     10:00 PM EST

     11:00 PM PST

    EMPOWERgmat is giving away the complete Official GMAT Exam Pack collection worth $100 with the 3 Month Pack ($299)
  • Free GMAT practice

     February 15, 2019

     February 15, 2019

     10:00 PM EST

     11:00 PM PST

    Instead of wasting 3 months solving 5,000+ random GMAT questions, focus on just the 1,500 you need.

What is the sum of all 3 digit numbers that leave a remainder of '2'

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

Hide Tags

 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 52905
What is the sum of all 3 digit numbers that leave a remainder of '2'  [#permalink]

Show Tags

New post 14 Feb 2016, 04:34
00:00
A
B
C
D
E

Difficulty:

  65% (hard)

Question Stats:

66% (03:10) correct 34% (03:02) wrong based on 172 sessions

HideShow timer Statistics

Most Helpful Community Reply
Verbal Forum Moderator
User avatar
V
Status: Greatness begins beyond your comfort zone
Joined: 08 Dec 2013
Posts: 2230
Location: India
Concentration: General Management, Strategy
Schools: Kelley '20, ISB '19
GPA: 3.2
WE: Information Technology (Consulting)
GMAT ToolKit User Reviews Badge CAT Tests
Re: What is the sum of all 3 digit numbers that leave a remainder of '2'  [#permalink]

Show Tags

New post 14 Feb 2016, 11:20
3
3
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
_________________

When everything seems to be going against you, remember that the airplane takes off against the wind, not with it. - Henry Ford
The Moment You Think About Giving Up, Think Of The Reason Why You Held On So Long
+1 Kudos if you find this post helpful

General Discussion
Current Student
User avatar
D
Joined: 12 Aug 2015
Posts: 2621
Schools: Boston U '20 (M)
GRE 1: Q169 V154
GMAT ToolKit User Premium Member
Re: What is the sum of all 3 digit numbers that leave a remainder of '2'  [#permalink]

Show Tags

New post 21 Mar 2016, 08:11
Manager
Manager
User avatar
Joined: 20 Jul 2012
Posts: 129
Location: India
WE: Information Technology (Computer Software)
GMAT ToolKit User
Re: What is the sum of all 3 digit numbers that leave a remainder of '2'  [#permalink]

Show Tags

New post 12 Jun 2016, 10:26
Bunuel wrote:
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.
Intern
Intern
User avatar
Joined: 05 Jul 2016
Posts: 41
Location: China
Concentration: Finance, Nonprofit
GMAT 1: 680 Q49 V33
GMAT 2: 690 Q51 V31
GMAT 3: 710 Q50 V36
GPA: 3.4
Re: What is the sum of all 3 digit numbers that leave a remainder of '2'  [#permalink]

Show Tags

New post 24 Jul 2016, 23:54
1
all three digit numbers 100~999

the first number that satisfies the description "leave a remainder of '2' when divided by 3" is 101, and the last one is 998.

total numbers that satisfy the description is:
n=[(998-101)/3]+1, and we have n=300

As the numbers are evenly spaced sequence, we could calculate the sum by:
S=n*mean
mean=(a1+an)/2, so mean=(101+998)/2=549.5

Finally S=300*549.5=146850

Thanks,
_________________

It's better to burn out than to fade away.

Intern
Intern
avatar
B
Joined: 02 Oct 2016
Posts: 25
Reviews Badge
Re: What is the sum of all 3 digit numbers that leave a remainder of '2'  [#permalink]

Show Tags

New post 08 Apr 2018, 05:55
1
1
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
Intern
Intern
avatar
B
Joined: 03 Jan 2016
Posts: 22
What is the sum of all 3 digit numbers that leave a remainder of '2'  [#permalink]

Show Tags

New post 09 Apr 2018, 08:13
1
From 1 to 99 we have 33 numbers which leave a remainder of 2 when divided by 3 (You call it as 1/3rd of the numbers) .
33 numbers leave a remainder of 0.
33 numbers leave a remainder of 1.
33 numbers leave a remainder of 2.
If we take three digit number, then try to find sum of 100 to 999 and divide by 3 (1/3rd).

(900/2)*(100+999) = 164850
GMAT Club Bot
What is the sum of all 3 digit numbers that leave a remainder of '2'   [#permalink] 09 Apr 2018, 08:13
Display posts from previous: Sort by

What is the sum of all 3 digit numbers that leave a remainder of '2'

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


Copyright

GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| GMAT Club Rules| Contact| Sitemap

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

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®.