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

It is currently 14 Aug 2018, 20:07

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

What is the remainder when a 3 digit number ABC where A , B and C are

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

Hide Tags

BSchool Forum Moderator
User avatar
D
Joined: 12 Aug 2015
Posts: 2649
GRE 1: Q169 V154
GMAT ToolKit User Premium Member
What is the remainder when a 3 digit number ABC where A , B and C are  [#permalink]

Show Tags

New post 23 Apr 2016, 06:56
2
3
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

68% (02:29) correct 32% (01:13) wrong based on 115 sessions

HideShow timer Statistics

What is the remainder when a 3 digit number ABC where A , B and C are its hundreds,tens and units digit respectively is divided by 3
[A] A+B+C = 3K+13 where K is an integer.
[B] A+B+C = 19

_________________


MBA Financing:- INDIAN PUBLIC BANKS vs PRODIGY FINANCE!

Getting into HOLLYWOOD with an MBA!

The MOST AFFORDABLE MBA programs!

STONECOLD's BRUTAL Mock Tests for GMAT-Quant(700+)

AVERAGE GRE Scores At The Top Business Schools!

Intern
Intern
avatar
Joined: 17 Sep 2015
Posts: 45
Location: United Kingdom
GMAT 1: 640 Q42 V38
GPA: 3.1
Reviews Badge
Re: What is the remainder when a 3 digit number ABC where A , B and C are  [#permalink]

Show Tags

New post 23 Apr 2016, 15:53
1
1
Its D

By the divisibility rule of 3, the sum of the digits of the number has to be divisible by 3 , to be divisible by 3.

And hence if its is, the remainder will be 0.

Lets test our prethinking :-

24/3 now 2+4 = 6 100% divisible hence remainder 0

236 now 2+3+6 = 11 - 11/3 remainder 2 if we divide 236/3 the remainder is actually 2

so we have established a pattern

Lets Examine the facts:-

1. A+B+C = 3K+13

lets test k for 1

3*1+13 = 16 - 16/3 remainder is 1 hence if we divide ABC by 3 the remainder will be 1

If k = -1

3*-1 +13 = 10 - 10/3 - remainder 1

If K=0

3*0+13 =13 - 13/3 remainder 1

Hence Fact 1 is sufficient

Fact 2

A+B+C = 19 - 19/3 remainder 1

Sufficient

Hence the answer is D
Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 7695
Premium Member
Re: What is the remainder when a 3 digit number ABC where A , B and C are  [#permalink]

Show Tags

New post 03 Oct 2017, 10:43
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________

GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

Re: What is the remainder when a 3 digit number ABC where A , B and C are &nbs [#permalink] 03 Oct 2017, 10:43
Display posts from previous: Sort by

What is the remainder when a 3 digit number ABC where A , B and C are

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

Events & Promotions

PREV
NEXT


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®.