Jul 19 08:00 AM PDT  09:00 AM PDT The Competition Continues  Game of Timers is a teambased competition based on solving GMAT questions to win epic prizes! Starting July 1st, compete to win prep materials while studying for GMAT! Registration is Open! Ends July 26th Jul 20 07:00 AM PDT  09:00 AM PDT Attend this webinar and master GMAT SC in 10 days by learning how meaning and logic can help you tackle 700+ level SC questions with ease. Jul 21 07:00 AM PDT  09:00 AM PDT Attend this webinar to learn a structured approach to solve 700+ Number Properties question in less than 2 minutes
Author 
Message 
TAGS:

Hide Tags

Math Expert
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
02 Oct 2015, 01:52
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.
Official Answer and Stats are available only to registered users. Register/ Login.
_________________



Math Expert
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
02 Oct 2015, 02:01
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... nothing about c... insuff (2) c is divisible by 3... suff as the answer is YES ans B
_________________



Intern
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
02 Oct 2015, 12:26
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. Answer B
_________________



Manager
Joined: 26 Dec 2011
Posts: 115

Re: If a, b, and c are integers, is the number 3(a + b) + c divisible by 3
[#permalink]
Show Tags
02 Oct 2015, 20:30
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.
_________________



Senior Manager
Joined: 10 Mar 2013
Posts: 487
Location: Germany
Concentration: Finance, Entrepreneurship
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
03 Oct 2015, 05:36
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.
Share some Kudos, if my posts help you. Thank you !
800Score ONLY QUANT CAT1 51, CAT2 50, CAT3 50 GMAT PREP 670 MGMAT CAT 630 KAPLAN CAT 660



CEO
Status: GMATINSIGHT Tutor
Joined: 08 Jul 2010
Posts: 2959
Location: India
GMAT: INSIGHT
WE: Education (Education)

Re: If a, b, and c are integers, is the number 3(a + b) + c divisible by 3
[#permalink]
Show Tags
03 Oct 2015, 06:49
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.No information about C hence, 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 Answer: option B
_________________
Prosper!!!GMATinsightBhoopendra Singh and Dr.Sushma Jha email: info@GMATinsight.com I Call us : +919999687183 / 9891333772 Online OneonOne Skype based classes and Classroom Coaching in South and West Delhihttp://www.GMATinsight.com/testimonials.htmlACCESS FREE GMAT TESTS HERE:22 ONLINE FREE (FULL LENGTH) GMAT CAT (PRACTICE TESTS) LINK COLLECTION



Math Expert
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
06 Oct 2015, 05:38
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. The correct answer is B.
_________________



Director
Joined: 12 Nov 2016
Posts: 713
Location: United States
GPA: 2.66

Re: If a, b, and c are integers, is the number 3(a + b) + c divisible by 3
[#permalink]
Show Tags
17 Jul 2017, 19:34
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
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
24 Dec 2018, 09:06
Project DS Butler: Day 49: Data Sufficiency (DS98) For DS butler Questions Click HereBumping 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






