Last visit was: 25 Apr 2026, 04:16 It is currently 25 Apr 2026, 04:16
Home
Messages
Tests
Schools
Events
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.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel
User avatar
arixlove
User avatar
Joined: 07 Nov 2021
Last visit: 04 Mar 2022
Posts: 20
Given Kudos: 2
Location: Italy
Posts: 20
Kudos: 0
PROPRIETIES OF NUMBERS - REMAINDERS 08 Jan 2022, 12:37
Kudos
Add Kudos
Bookmarks
Bookmark this Post
"When a certain number X is divided by 63, the remainder is 27. What is the remainder when X is divided by 7?"


I'm stuck with a point in the solution of this problem, because after arriving to this equation : X=9Q+27/7, then 27/7=3+ 6/7 so remainder is 6....
I don't understand why the remainder is not 27 already, as the formula is X=Q+remainder/divisor, and the way X is expressed already gives r... Can you explain it in detail please?

Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Quantitative Questions Forum
Still interested in this question? Check out the "Best Topics" block below for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
User avatar
Kinshook
User avatar
Major Poster
Joined: 03 Jun 2019
Last visit: 24 Apr 2026
Posts: 5,986
Own Kudos:
5,859
Given Kudos: 163
Location: India
Schools: HBS '26 CBS '26 Wharton '26
GMAT 1: 690 Q50 V34
WE:Engineering (Transportation)
Products:
My Reviews
Schools: HBS '26 CBS '26 Wharton '26
GMAT 1: 690 Q50 V34
Posts: 5,986
Kudos: 5,859
PROPRIETIES OF NUMBERS - REMAINDERS 09 Jan 2022, 08:57
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Given: When a certain number X is divided by 63, the remainder is 27.

Asked: What is the remainder when X is divided by 7?

When a certain number X is divided by 63, the remainder is 27.
X = 63k + 27 ; where k is an integer

X = 7*9k + 7*3 + 6 = 7(9k+3) + 6 = 7m + 6; m = 9k + 3 and is an integer.
The remainder when X is divided by 7 is 6.

arixlove
"When a certain number X is divided by 63, the remainder is 27. What is the remainder when X is divided by 7?"


I'm stuck with a point in the solution of this problem, because after arriving to this equation : X=9Q+27/7, then 27/7=3+ 6/7 so remainder is 6....
I don't understand why the remainder is not 27 already, as the formula is X=Q+remainder/divisor, and the way X is expressed already gives r... Can you explain it in detail please?
Show more
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 25 Apr 2026
Posts: 109,822
Own Kudos:
811,143
Given Kudos: 105,878
Products:
GMAT Club Tests Forum Quiz
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 109,822
Kudos: 811,143
PROPRIETIES OF NUMBERS - REMAINDERS 09 Jan 2022, 09:40
Kudos
Add Kudos
Bookmarks
Bookmark this Post
arixlove
"When a certain number X is divided by 63, the remainder is 27. What is the remainder when X is divided by 7?"


I'm stuck with a point in the solution of this problem, because after arriving to this equation : X=9Q+27/7, then 27/7=3+ 6/7 so remainder is 6....
I don't understand why the remainder is not 27 already, as the formula is X=Q+remainder/divisor, and the way X is expressed already gives r... Can you explain it in detail please?
Show more

Hi,

This question is discussed in detail here: what-is-the-greatest-positive-integer-x-such-that-9-6x-is-a-factor-318934.html If any questions please post there. Hope it helps.

Also, please read carefully and follow our posting rules: rules-for-posting-please-read-this-before-posting-133935.html Thank you.

THIS TOPIC IS LOCKED AND ARCHIVED.

P.S.

6. Remainders



For other subjects:
ALL YOU NEED FOR QUANT ! ! !
Ultimate GMAT Quantitative Megathread

Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Quantitative Questions Forum
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!