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

It is currently 17 Feb 2019, 20:21

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
Events & Promotions in February
PrevNext
SuMoTuWeThFrSa
272829303112
3456789
10111213141516
17181920212223
242526272812
Open Detailed Calendar
  • Free GMAT Algebra Webinar

     February 17, 2019

     February 17, 2019

     07:00 AM PST

     09:00 AM PST

    Attend this Free Algebra Webinar and learn how to master Inequalities and Absolute Value problems on GMAT.
  • Valentine's day SALE is on! 25% off.

     February 18, 2019

     February 18, 2019

     10:00 PM PST

     11:00 PM PST

    We don’t care what your relationship status this year - we love you just the way you are. AND we want you to crush the GMAT!

If x and y are positive integers and x = 10y + 5, what is the remainde

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

Hide Tags

 
Intern
Intern
User avatar
Joined: 02 Jan 2015
Posts: 32
GMAT Date: 02-08-2015
GPA: 3.7
WE: Management Consulting (Consulting)
Reviews Badge
If x and y are positive integers and x = 10y + 5, what is the remainde  [#permalink]

Show Tags

New post 17 Jan 2015, 02:58
5
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

84% (00:37) correct 16% (00:44) wrong based on 232 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
Intern
Intern
User avatar
Joined: 02 Jan 2015
Posts: 32
GMAT Date: 02-08-2015
GPA: 3.7
WE: Management Consulting (Consulting)
Reviews Badge
Re: If x and y are positive integers and x = 10y + 5, what is the remainde  [#permalink]

Show Tags

New post 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
Senior Manager
Senior Manager
User avatar
Joined: 13 Jun 2013
Posts: 275
Premium Member
Re: If x and y are positive integers and x = 10y + 5, what is the remainde  [#permalink]

Show Tags

New post 17 Jan 2015, 03:51
1
1
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
User avatar
V
Status: GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 13546
Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: Q170 V170
Re: If x and y are positive integers and x = 10y + 5, what is the remainde  [#permalink]

Show Tags

New post 17 Jan 2015, 12:08
1
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
_________________

760+: Learn What GMAT Assassins Do to Score at the Highest Levels
Contact Rich at: Rich.C@empowergmat.com

Rich Cohen

Co-Founder & GMAT Assassin

Special Offer: Save $75 + GMAT Club Tests Free
  Official GMAT Exam Packs + 70 Pt. Improvement Guarantee
www.empowergmat.com/

*****Select EMPOWERgmat Courses now include ALL 6 Official GMAC CATs!*****

Intern
Intern
User avatar
Joined: 02 Jan 2015
Posts: 32
GMAT Date: 02-08-2015
GPA: 3.7
WE: Management Consulting (Consulting)
Reviews Badge
Re: If x and y are positive integers and x = 10y + 5, what is the remainde  [#permalink]

Show Tags

New post 17 Jan 2015, 13:58
Thank you both - very helpful..
Intern
Intern
User avatar
Joined: 10 Jun 2011
Posts: 8
Re: If x and y are positive integers and x = 10y + 5, what is the remainde  [#permalink]

Show Tags

New post 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
EMPOWERgmat Instructor
User avatar
V
Status: GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 13546
Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: Q170 V170
Re: If x and y are positive integers and x = 10y + 5, what is the remainde  [#permalink]

Show Tags

New post 18 Jan 2015, 11:36
1
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
_________________

760+: Learn What GMAT Assassins Do to Score at the Highest Levels
Contact Rich at: Rich.C@empowergmat.com

Rich Cohen

Co-Founder & GMAT Assassin

Special Offer: Save $75 + GMAT Club Tests Free
  Official GMAT Exam Packs + 70 Pt. Improvement Guarantee
www.empowergmat.com/

*****Select EMPOWERgmat Courses now include ALL 6 Official GMAC CATs!*****

Intern
Intern
avatar
Joined: 26 Jan 2016
Posts: 9
Remainder  [#permalink]

Show Tags

New post 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
User avatar
V
Joined: 02 Sep 2009
Posts: 52906
Re: If x and y are positive integers and x = 10y + 5, what is the remainde  [#permalink]

Show Tags

New post 05 Jul 2016, 05:40
Director
Director
avatar
G
Joined: 02 Sep 2016
Posts: 670
Premium Member
Re: If x and y are positive integers and x = 10y + 5, what is the remainde  [#permalink]

Show Tags

New post 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.
_________________

Help me make my explanation better by providing a logical feedback.

If you liked the post, HIT KUDOS !!

Don't quit.............Do it.

VP
VP
avatar
P
Joined: 07 Dec 2014
Posts: 1157
Re: If x and y are positive integers and x = 10y + 5, what is the remainde  [#permalink]

Show Tags

New post 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
Director
avatar
S
Joined: 12 Nov 2016
Posts: 725
Location: United States
Schools: Yale '18
GMAT 1: 650 Q43 V37
GRE 1: Q157 V158
GPA: 2.66
Re: If x and y are positive integers and x = 10y + 5, what is the remainde  [#permalink]

Show Tags

New post 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"
Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 9839
Premium Member
Re: If x and y are positive integers and x = 10y + 5, what is the remainde  [#permalink]

Show Tags

New post 03 Feb 2019, 20:37
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

GMAT Club Bot
Re: If x and y are positive integers and x = 10y + 5, what is the remainde   [#permalink] 03 Feb 2019, 20:37
Display posts from previous: Sort by

If x and y are positive integers and x = 10y + 5, what is the remainde

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


Copyright

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®.