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

It is currently 15 Dec 2018, 08:30

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
  • $450 Tuition Credit & Official CAT Packs FREE

     December 15, 2018

     December 15, 2018

     10:00 PM PST

     11:00 PM PST

    Get the complete Official GMAT Exam Pack collection worth $100 with the 3 Month Pack ($299)
  • FREE Quant Workshop by e-GMAT!

     December 16, 2018

     December 16, 2018

     07:00 AM PST

     09:00 AM PST

    Get personalized insights on how to achieve your Target Quant Score.

When a positive integer n is divided by 100, the remainder is the same

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

Hide Tags

Manager
Manager
User avatar
G
Joined: 15 Dec 2015
Posts: 116
GMAT 1: 660 Q46 V35
GPA: 4
WE: Information Technology (Computer Software)
When a positive integer n is divided by 100, the remainder is the same  [#permalink]

Show Tags

New post 31 Jul 2017, 09:49
1
4
00:00
A
B
C
D
E

Difficulty:

  85% (hard)

Question Stats:

57% (02:14) correct 43% (02:40) wrong based on 81 sessions

HideShow timer Statistics

When a positive integer n is divided by 100, the remainder is the same as the quotient but when n is divided by 14, the remainder is 0.How many distinct integer values can n take if n is more than 1000 and less than 9999?

A.5
B.6
C.7
D.8
E.More than 8
Most Helpful Community Reply
Intern
Intern
avatar
B
Joined: 26 Nov 2016
Posts: 22
Location: India
Concentration: Operations, Finance
GMAT 1: 710 Q50 V35
GPA: 3.14
WE: Engineering (Manufacturing)
Re: When a positive integer n is divided by 100, the remainder is the same  [#permalink]

Show Tags

New post 31 Jul 2017, 11:18
3
3
Let Q be the quotient as well as the remainder
Therefore the number = Q+100Q = 14K, in which K=positive integers
101Q=14K
LCM of 101 & 14 = 1414
Number of multiples of 1414 between 1000 & 9999 = 7

This is my view on the problem, would request to correct me if i am wrong.
General Discussion
VP
VP
avatar
P
Joined: 07 Dec 2014
Posts: 1128
When a positive integer n is divided by 100, the remainder is the same  [#permalink]

Show Tags

New post Updated on: 01 Dec 2018, 17:35
DH99 wrote:
When a positive integer n is divided by 100, the remainder is the same as the quotient but when n is divided by 14, the remainder is 0.How many distinct integer values can n take if n is more than 1000 and less than 9999?

A.5
B.6
C.7
D.8
E.More than 8


if n/100 quotient=remainder,
then n must take form of 101, 202...1010, 1111...
if n/14 gives 0 remainder,
then n must be multiple of 14
14*101=1414=least value of n
1414+k(14*101)<9999→
1414k<8585→
k<6.1→
k=6
6+1=7 distinct integer values for n
C

Originally posted by gracie on 31 Jul 2017, 19:17.
Last edited by gracie on 01 Dec 2018, 17:35, edited 1 time in total.
Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 9164
Premium Member
Re: When a positive integer n is divided by 100, the remainder is the same  [#permalink]

Show Tags

New post 01 Dec 2018, 11:35
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: When a positive integer n is divided by 100, the remainder is the same &nbs [#permalink] 01 Dec 2018, 11:35
Display posts from previous: Sort by

When a positive integer n is divided by 100, the remainder is the same

  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®.