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

It is currently 14 Dec 2018, 18:39

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 December
PrevNext
SuMoTuWeThFrSa
2526272829301
2345678
9101112131415
16171819202122
23242526272829
303112345
Open Detailed Calendar
  • Typical Day of a UCLA MBA Student - Recording of Webinar with UCLA Adcom and Student

     December 14, 2018

     December 14, 2018

     10:00 PM PST

     11:00 PM PST

    Carolyn and Brett - nicely explained what is the typical day of a UCLA student. I am posting below recording of the webinar for those who could't attend this session.
  • Free GMAT Strategy Webinar

     December 15, 2018

     December 15, 2018

     07:00 AM PST

     09:00 AM PST

    Aiming to score 760+? Attend this FREE session to learn how to Define your GMAT Strategy, Create your Study Plan and Master the Core Skills to excel on the GMAT.

If (x # y) represents the remainder that results when the po

  post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
CEO
CEO
User avatar
Joined: 21 Jan 2007
Posts: 2604
Location: New York City
If (x # y) represents the remainder that results when the po  [#permalink]

Show Tags

New post Updated on: 13 May 2014, 06:35
1
8
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

72% (00:56) correct 28% (00:53) wrong based on 286 sessions

HideShow timer Statistics

If (x # y) represents the remainder that results when the positive integer x is divided by the positive integer y, what is the sum of all the possible values of y such that (16 # y) = 1?

A. 8
B. 9
C. 16
D. 23
E. 24

OPEN DISCUSSION OF THIS QUESTION IS HERE: if-x-y-represents-the-remainder-that-results-when-the-po-169530.html

_________________

You tried your best and you failed miserably. The lesson is 'never try'. -Homer Simpson


Originally posted by bmwhype2 on 20 Feb 2008, 08:22.
Last edited by Bunuel on 13 May 2014, 06:35, edited 1 time in total.
Renamed the topic, edited the question, added the OA and moved to PS forum.
CEO
CEO
User avatar
Joined: 21 Jan 2007
Posts: 2604
Location: New York City
Re: MGMAT - remainder  [#permalink]

Show Tags

New post 20 Feb 2008, 08:28
16 = yk + 1, where y is a positive integer and k is an integer
15 = yk

possible values of y are 1+3+5+15 = 24

can soemone tell me why 1 is excluded? the OA is 23
_________________

You tried your best and you failed miserably. The lesson is 'never try'. -Homer Simpson

Director
Director
avatar
Joined: 01 Jan 2008
Posts: 593
Re: MGMAT - remainder  [#permalink]

Show Tags

New post 20 Feb 2008, 08:30
bmwhype2 wrote:
16 = yk + 1, where y is a positive integer and k is an integer
15 = yk

possible values of y are 1+3+5+15 = 24

can soemone tell me why 1 is excluded? the OA is 23


because the remainder would be 0.
SVP
SVP
User avatar
Joined: 24 Aug 2006
Posts: 2090
Re: MGMAT - remainder  [#permalink]

Show Tags

New post 20 Feb 2008, 08:31
bmwhype2 wrote:
16 = yk + 1, where y is a positive integer and k is an integer
15 = yk

possible values of y are 1+3+5+15 = 24

can soemone tell me why 1 is excluded? the OA is 23


1 goes into 16, sixteen times with no remainder.

in other words 16/1 = 16
CEO
CEO
User avatar
Joined: 21 Jan 2007
Posts: 2604
Location: New York City
Re: MGMAT - remainder  [#permalink]

Show Tags

New post 20 Feb 2008, 08:33
maratikus wrote:
bmwhype2 wrote:
16 = yk + 1, where y is a positive integer and k is an integer
15 = yk

possible values of y are 1+3+5+15 = 24

can soemone tell me why 1 is excluded? the OA is 23


because the remainder would be 0.

thanks. cant believe i overlooked that. :oops:
_________________

You tried your best and you failed miserably. The lesson is 'never try'. -Homer Simpson

VP
VP
avatar
Joined: 28 Dec 2005
Posts: 1448
Re: MGMAT - remainder  [#permalink]

Show Tags

New post 20 Feb 2008, 18:27
1
so question basically boils down to: what are the numbers that, when 16 is divided by that number, gives a remainder of 1 ?

quickly, you can get 3, 5 and 15. sum of those 3 numbers are 23 :)
Intern
Intern
avatar
Joined: 23 Apr 2014
Posts: 9
Re: If (x # y) represents the remainder that results when the  [#permalink]

Show Tags

New post 13 May 2014, 06:28
Answer: D
16 = ky+1
since -- > 0 <=remainder < divisor
therefore y>1
ky=15 => y =15/k :- possible values of k for y to be +int = 1,3,5 => y=15,5,3
hence, sum = 15+5+3 = 23
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 51215
Re: If (x # y) represents the remainder that results when the po  [#permalink]

Show Tags

New post 13 May 2014, 06:35
1
3
If (x # y) represents the remainder that results when the positive integer x is divided by the positive integer y, what is the sum of all the possible values of y such that (16 # y) = 1?

A. 8
B. 9
C. 16
D. 23
E. 24

(x # y) represents the remainder that results when the positive integer x is divided by the positive integer y.

Thus (16 # y) = 1 implies that \(16=yq+1\) --> \(15=yq\) --> y is a factor of 15. The factors of 15 are 1, 3, 5, and 15. Now, y cannot be 1, since 16 divided by 1 yields the remainder of 0 not 1.

Therefore the sum of all the possible values of y is 3+5+15=23.

Answer: D.

OPEN DISCUSSION OF THIS QUESTION IS HERE: if-x-y-represents-the-remainder-that-results-when-the-po-169530.html
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 9162
Premium Member
Re: If (x # y) represents the remainder that results when the po  [#permalink]

Show Tags

New post 10 Aug 2018, 10:28
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 # y) represents the remainder that results when the po &nbs [#permalink] 10 Aug 2018, 10:28
Display posts from previous: Sort by

If (x # y) represents the remainder that results when the po

  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®.