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

 It is currently 14 Aug 2018, 20:07

### 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

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

Author Message
TAGS:

### Hide Tags

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

### Show Tags

23 Apr 2016, 06:56
2
3
00:00

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

### Show Tags

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

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

### Show Tags

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.
_________________
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

# Events & Promotions

 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®.