Author 
Message 
TAGS:

Hide Tags

Intern
Joined: 02 Jan 2015
Posts: 31
GMAT Date: 02082015
GPA: 3.7
WE: Management Consulting (Consulting)

If x and y are positive integers and x = 10y + 5, what is the remainde
[#permalink]
Show Tags
17 Jan 2015, 02:58
Question Stats:
84% (00:42) correct 16% (00:47) wrong based on 256 sessions
HideShow timer Statistics
If x and y are positive integers and x = 10y + 5, what is the remainder when x is divided by 5? A. 0 B. 1 C. 2 D. 3 E. 4
Official Answer and Stats are available only to registered users. Register/ Login.



EMPOWERgmat Instructor
Status: GMAT Assassin/CoFounder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 16310
Location: United States (CA)

Re: If x and y are positive integers and x = 10y + 5, what is the remainde
[#permalink]
Show Tags
17 Jan 2015, 12:08
Hi All, This question asks "what IS...(the answer)", so we know that the answer will be consistent. As such, we can TEST VALUES to quickly get the solution. We're told that X and Y are POSITIVE INTEGERS and X = 10Y + 5. We're asked for the REMAINDER when X is divided by 5. IF.... Y = 1 X = 15 15/5 = 3 remainder 0 Final Answer: GMAT assassins aren't born, they're made, Rich
_________________
Contact Rich at: Rich.C@empowergmat.comThe Course Used By GMAT Club Moderators To Earn 750+ souvik101990 Score: 760 Q50 V42 ★★★★★ ENGRTOMBA2018 Score: 750 Q49 V44 ★★★★★



GMAT Club Legend
Joined: 11 Sep 2015
Posts: 4540
Location: Canada

Re: If x and y are positive integers and x = 10y + 5, what is the remainde
[#permalink]
Show Tags
16 Apr 2019, 05:36
ElCorazon wrote: If x and y are positive integers and x = 10y + 5, what is the remainder when x is divided by 5?
A. 0 B. 1 C. 2 D. 3 E. 4 GIVEN: x = 10y + 5 Factor out 5 to get: x = 5(2y + 1) We can see that x is a multiple of 5, which also means x is divisible by 5, which means the remainder will by ZERO when x is divided by 5 Answer: A Cheers, Brent
_________________
Test confidently with gmatprepnow.com



Senior Manager
Joined: 13 Jun 2013
Posts: 250

Re: If x and y are positive integers and x = 10y + 5, what is the remainde
[#permalink]
Show Tags
17 Jan 2015, 03:51
ElCorazon wrote: I understand the conceptual approach to this question. But could someone explain what is wrong with the algebraic approach below:
x = 10 y + 5 x = 5(2y + 1) x/5 = 2y + 1
Therefore, remainder = 1. Where am I going wrong there?
Thanks hi, the highlighted portion is wrongly interpreted by you. x=5(2y+1), means that x is a multiple of 5. so, remainder when x is divided by 5 will be zero. i hope it helps.



EMPOWERgmat Instructor
Status: GMAT Assassin/CoFounder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 16310
Location: United States (CA)

Re: If x and y are positive integers and x = 10y + 5, what is the remainde
[#permalink]
Show Tags
18 Jan 2015, 11:36
Hi miro, You're correct  you don't need to TEST VALUES, but that approach can get you to the correct answer rather easily. It's worth noting that GMAT questions can almost always be solved with more than one approach. The best Test Takers know how to do "more than one thing", so that on Test Day they can use whatever they're given in the prompt to quickly assess how best to approach the question and then answer it in an easy, efficient way. For that reason, it's sometimes a good idea to redo practice problems with different approaches so that you can build up more than one skill. GMAT assassins aren't born, they're made, Rich
_________________
Contact Rich at: Rich.C@empowergmat.comThe Course Used By GMAT Club Moderators To Earn 750+ souvik101990 Score: 760 Q50 V42 ★★★★★ ENGRTOMBA2018 Score: 750 Q49 V44 ★★★★★



Intern
Joined: 02 Jan 2015
Posts: 31
GMAT Date: 02082015
GPA: 3.7
WE: Management Consulting (Consulting)

Re: If x and y are positive integers and x = 10y + 5, what is the remainde
[#permalink]
Show Tags
17 Jan 2015, 03:01
I understand the conceptual approach to this question. But could someone explain what is wrong with the algebraic approach below:
x = 10 y + 5 x = 5(2y + 1) x/5 = 2y + 1
Therefore, remainder = 1.
Where am I going wrong there?
Thanks



Intern
Joined: 02 Jan 2015
Posts: 31
GMAT Date: 02082015
GPA: 3.7
WE: Management Consulting (Consulting)

Re: If x and y are positive integers and x = 10y + 5, what is the remainde
[#permalink]
Show Tags
17 Jan 2015, 13:58
Thank you both  very helpful..



Intern
Joined: 10 Jun 2011
Posts: 7

Re: If x and y are positive integers and x = 10y + 5, what is the remainde
[#permalink]
Show Tags
18 Jan 2015, 01:04
I don't think we need to test value.
If x = 10y + 5
10y = multiple of 5 and therefore divisible by 5 5 = divisible by 5
so 10y+5 is divisible by 5. This shouldn't take more than 15 seconds



Intern
Joined: 26 Jan 2016
Posts: 9

Remainder
[#permalink]
Show Tags
05 Jul 2016, 05:35
If x and y are positive integers and x=10y +5, what is the remainder when x is divided by 5?
1) 0 2) 1 3) 2 4) 3 5) 4



Math Expert
Joined: 02 Sep 2009
Posts: 62287

Re: If x and y are positive integers and x = 10y + 5, what is the remainde
[#permalink]
Show Tags
05 Jul 2016, 05:40
ha15 wrote: If x and y are positive integers and x=10y +5, what is the remainder when x is divided by 5?
1) 0 2) 1 3) 2 4) 3 5) 4 Merging topics. Please read carefully and follow: rulesforpostingpleasereadthisbeforeposting133935.html Thank you.
_________________



Director
Joined: 02 Sep 2016
Posts: 630

Re: If x and y are positive integers and x = 10y + 5, what is the remainde
[#permalink]
Show Tags
03 Apr 2017, 23:47
x= 10y+5 x= 5*2y+5 x= 5(2y+1)
This whole term on the right side is divisible by 5. Thus the remainder is zero.



VP
Joined: 07 Dec 2014
Posts: 1239

Re: If x and y are positive integers and x = 10y + 5, what is the remainde
[#permalink]
Show Tags
04 Apr 2017, 09:50
ElCorazon wrote: If x and y are positive integers and x = 10y + 5, what is the remainder when x is divided by 5?
A. 0 B. 1 C. 2 D. 3 E. 4 x/5=2y+1 x=5(2y+1) x is a multiple of 5 0 A



Director
Joined: 12 Nov 2016
Posts: 674
Location: United States
GPA: 2.66

Re: If x and y are positive integers and x = 10y + 5, what is the remainde
[#permalink]
Show Tags
27 Jun 2017, 14:06
ElCorazon wrote: If x and y are positive integers and x = 10y + 5, what is the remainder when x is divided by 5?
A. 0 B. 1 C. 2 D. 3 E. 4 Another way you can think of this problem so as to save time is by recognizing what the restriction" x and y are positive integers" means relative to the equation. Ignoring Y, any positive integer multiplied by 10 will of course be a multiple of 10 and every multiple of 10 has a remainder of 0 when divided by 5 so any number that is a multiple of 10 has a remainder of 0 when 5 is added because 5 divided by 5 has a remainder of 0. Thus "A"



Manager
Joined: 03 Aug 2017
Posts: 101

Re: If x and y are positive integers and x = 10y + 5, what is the remainde
[#permalink]
Show Tags
28 Oct 2019, 23:44
ElCorazon wrote: If x and y are positive integers and x = 10y + 5, what is the remainder when x is divided by 5?
A. 0 B. 1 C. 2 D. 3 E. 4 x= 10y+5 and X and Y are both positive integers = 10Y could be + 10*1 = 10 divisible by 5 10Y coulde be 2 = 10*2 = 20 divisible by 5 10Y coulde be 3 = 10*3 = 30 divisible by 5 10Y coulde be 4 = 10*4 = 40 divisible by 5 hence all values of 10Y will be divsible by 5 Target question s 10Y +5 divisble by 5 ... Yes as we just learnt 10y is always divisible by 5 and 5 is anyways divisble by 5 so (10Y +5 ) /5 = 0 reaminder ans Choice A




Re: If x and y are positive integers and x = 10y + 5, what is the remainde
[#permalink]
28 Oct 2019, 23:44






