Summer is Coming! Join the Game of Timers Competition to Win Epic Prizes. Registration is Open. Game starts Mon July 1st.

 It is currently 18 Jul 2019, 10:24 ### 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

#### Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.  # If a, b, and c are integers, is the number 3(a + b) + c divisible by 3

Author Message
TAGS:

### Hide Tags

Math Expert V
Joined: 02 Sep 2009
Posts: 56256
If a, b, and c are integers, is the number 3(a + b) + c divisible by 3  [#permalink]

### Show Tags 00:00

Difficulty:   5% (low)

Question Stats: 89% (00:36) correct 11% (01:06) wrong based on 168 sessions

### HideShow timer Statistics If a, b, and c are integers, is the number 3(a + b) + c divisible by 3?

(1) a + b is not divisible by 3.
(2) c is divisible by 3.

Kudos for a correct solution.

_________________
Math Expert V
Joined: 02 Aug 2009
Posts: 7764
Re: If a, b, and c are integers, is the number 3(a + b) + c divisible by 3  [#permalink]

### Show Tags

Bunuel wrote:
If a, b, and c are integers, is the number 3(a + b) + c divisible by 3?

(1) a + b is not divisible by 3.
(2) c is divisible by 3.

Kudos for a correct solution.

.. as a,b,c are integers and firat part already has 3 , we have to check if c is div by 3..
1) a + b is not divisible by 3...
(2) c is divisible by 3...
suff as the answer is YES
ans B
_________________
Intern  B
Status: Focus - Determination - Domination
Joined: 02 Mar 2015
Posts: 39
Location: India
Re: If a, b, and c are integers, is the number 3(a + b) + c divisible by 3  [#permalink]

### Show Tags

1
Bunuel wrote:
If a, b, and c are integers, is the number 3(a + b) + c divisible by 3?

(1) a + b is not divisible by 3.
(2) c is divisible by 3.

Kudos for a correct solution.

Statement 1: expression (a+b) does not play any role as 3(a+b) is always divisible by 3. No information about integer c.

Not sufficient.

Statement 2: c is divisible by 3 and 3(a+b) is already divisible by 3. Hence whole expression 3(a+b)+c is divisible by 3.

_________________
Let's Rock!
Manager  B
Joined: 26 Dec 2011
Posts: 115
Schools: HBS '18, IIMA
Re: If a, b, and c are integers, is the number 3(a + b) + c divisible by 3  [#permalink]

### Show Tags

1
Bunuel wrote:
If a, b, and c are integers, is the number 3(a + b) + c divisible by 3?

(1) a + b is not divisible by 3.
(2) c is divisible by 3.

Kudos for a correct solution.

Solution -

We have to verify that (3(a + b) + c)/3 = (a + b) + c/3, is c a multiple of 3?

Stmt1 - a + b is not divisible by 3. -> No information about c. Not Sufficient.
Stmt2 - c is divisible by 3. -> Clearly Sufficient.

Ans B.
_________________
Thanks,
Senior Manager  B
Joined: 10 Mar 2013
Posts: 487
Location: Germany
Concentration: Finance, Entrepreneurship
Schools: WHU MBA"20 (A)
GMAT 1: 580 Q46 V24 GPA: 3.88
WE: Information Technology (Consulting)
Re: If a, b, and c are integers, is the number 3(a + b) + c divisible by 3  [#permalink]

### Show Tags

1
Bunuel wrote:
If a, b, and c are integers, is the number 3(a + b) + c divisible by 3?

(1) a + b is not divisible by 3.
(2) c is divisible by 3.

Kudos for a correct solution.

3(a+b) i a multiple of 3, so if c is a multiple of 3 the answer will be Yes
(1) no info about c - not suff
(2) bingo... Ans (B)
_________________
When you’re up, your friends know who you are. When you’re down, you know who your friends are.

800Score ONLY QUANT CAT1 51, CAT2 50, CAT3 50
GMAT PREP 670
MGMAT CAT 630
KAPLAN CAT 660
CEO  D
Status: GMATINSIGHT Tutor
Joined: 08 Jul 2010
Posts: 2959
Location: India
GMAT: INSIGHT
Schools: Darden '21
WE: Education (Education)
Re: If a, b, and c are integers, is the number 3(a + b) + c divisible by 3  [#permalink]

### Show Tags

1
Bunuel wrote:
If a, b, and c are integers, is the number 3(a + b) + c divisible by 3?

(1) a + b is not divisible by 3.
(2) c is divisible by 3.

Kudos for a correct solution.

Question : is the number 3(a + b) + c divisible by 3?

Statement 1: a + b is not divisible by 3.
NOT SUFFICIENT

Statement 2: c is divisible by 3.
In the expression 3(a + b) + c, 3(a+b) is already divisible by 3an if c is a multiple of 3 as well then 3(a + b) + c must be a sum of two multiples of 3 which must be a multiple of 3. Hence
SUFFICIENT

_________________
Prosper!!!
GMATinsight
Bhoopendra Singh and Dr.Sushma Jha
e-mail: info@GMATinsight.com I Call us : +91-9999687183 / 9891333772
Online One-on-One Skype based classes and Classroom Coaching in South and West Delhi
http://www.GMATinsight.com/testimonials.html

ACCESS FREE GMAT TESTS HERE:22 ONLINE FREE (FULL LENGTH) GMAT CAT (PRACTICE TESTS) LINK COLLECTION
Math Expert V
Joined: 02 Sep 2009
Posts: 56256
Re: If a, b, and c are integers, is the number 3(a + b) + c divisible by 3  [#permalink]

### Show Tags

Bunuel wrote:
If a, b, and c are integers, is the number 3(a + b) + c divisible by 3?

(1) a + b is not divisible by 3.
(2) c is divisible by 3.

Kudos for a correct solution.

VERITAS PREP OFFICIAL SOLUTION:

Question Type: Yes/No Is the number 3(a + b) + c divisible by 3?

Given information: a, b and c are integers. You can Use Conceptual Knowledge here. Given that each of these numbers is an integer, 3(a + b) will be a multiple of 3 regardless of the values of a and b. Therefore you are simply focused on the question “Is c a multiple of 3?” If c is a multiple of 3 then the whole thing is divisible by 3. If c is not a multiple of 3 then the whole thing is not divisible by 3.

Statement 1: a + b is not divisible by 3. As mentioned above the value of a + b does not matter. So this statement is not sufficient alone. This is the advantage of doing your work early. When you truly understand the question you can work through the statements very efficiently. This statement is not sufficient. The correct answer is B, C, or E.

Statement 2: c is divisible by 3. This is an exact answer to the question that you developed by manipulating the question stem. If c is a multiple of 3 and since we know from algebra that 3(a + b) will also be a multiple of 3 then we also know that adding two multiples of 3 gives a result that is a multiple of 3. Try it. Make c = any multiple of 3. Then make a and b any integers at all. 3(a + b) will also be a multiple of 3 and “3(a + b) + c = a multiple of 3.” The answer is always “yes.” It is consistent and sufficient.

_________________
Director  S
Joined: 12 Nov 2016
Posts: 713
Location: United States
Schools: Yale '18
GMAT 1: 650 Q43 V37 GRE 1: Q157 V158 GPA: 2.66
Re: If a, b, and c are integers, is the number 3(a + b) + c divisible by 3  [#permalink]

### Show Tags

Bunuel wrote:
If a, b, and c are integers, is the number 3(a + b) + c divisible by 3?

(1) a + b is not divisible by 3.
(2) c is divisible by 3.

Kudos for a correct solution.

This is really just an algebra question- we need to find out whether we can prove "3(a +b) + c / 3 = x where x must be an integer" - true or false

St 1

3(a +b) + c / 3 = x
(a+b) + (c/3) = x ... a + b doesn't actually have to be divisible 3 only "C" has to in order for "3(a + b) + c [to be] divisible by 3"

insufficient

St 2

If c is divisible by 3 then yes

suff

b
IIMA, IIMC School Moderator V
Joined: 04 Sep 2016
Posts: 1361
Location: India
WE: Engineering (Other)
Re: If a, b, and c are integers, is the number 3(a + b) + c divisible by 3  [#permalink]

### Show Tags

Project DS Butler: Day 49: Data Sufficiency (DS98)

Bumping for DS Butler project.
_________________
It's the journey that brings us happiness not the destination.

Feeling stressed, you are not alone!! Re: If a, b, and c are integers, is the number 3(a + b) + c divisible by 3   [#permalink] 24 Dec 2018, 09:06
Display posts from previous: Sort by

# If a, b, and c are integers, is the number 3(a + b) + c divisible by 3  