Last visit was: 24 Apr 2026, 13:51 It is currently 24 Apr 2026, 13:51
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
Back to Forum
Create Topic
avatar
TheUltimateWinner
avatar
Schools: Harvard '24 Judge '23 LBS '24 McCombs '24 Mendoza Tepper '24 Ross '24 Cox Marshall '24 Fisher Kelley '24 Jones McDonough '24 Owen '24 Terry BU Simon '24 Katz GWU Mason Babson Gabelli Foster '24 Goizueta '24 Scheller Stern '23 CBS '23 Booth '23 Haas '25 Wharton '25 Stanford '26 Johnson'23 Fuqua '23 Kellogg '23 Kenan-Flagler'23 INSEAD Aug 22 intake Olin '23 Said '23 Sloan '23 Carey Arizona "22 Yale '23 UC Davis Madison '23 Anderson '23 Carroll Carlson '23 Darden '23
Posts: 2,465
Kudos: 2,457
 [6]
What is the value of d if the remainder when n is divided by d is 49? 31 Jul 2019, 11:04
1
Kudos
Add Kudos
5
Bookmarks
Bookmark this Post
00:00
Start Timer
Pause Timer
Resume Timer
Show Answer
Hide
Show
History
A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

95% (hard)

Question Stats:

13% (01:58) correct 87% (02:26) wrong based on 62 sessions

History

Date
Time
Result
Not Attempted Yet
What is the value of \(d\) if the remainder when \(n\) is divided by \(d\) is \(49\)?
1) the remainder when \(2n\) is divided by \(d\) is \(48\)
2) the remainder when \(3n\) is divided by \(d\) is \(47\)
ShowHide Answer
Official Answer
A
User avatar
nick1816
User avatar
Retired Moderator
Joined: 19 Oct 2018
Last visit: 12 Mar 2026
Posts: 1,841
Own Kudos:
8,511
Given Kudos: 707
Location: India
Posts: 1,841
Kudos: 8,511
What is the value of d if the remainder when n is divided by d is 49? 31 Jul 2019, 14:36
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Given n= 49 MOD d, where d>49

Statement 2-
2n= 48 MOD d

Also, 2n= (2*49-d) mod d
98-d=48
d=50
Sufficient

Statement 2-
3n= 49 mod d

Also, 3n= (3*49-d) mod d
147-d= 47
d=100>49

or 3n= (3*49-2d) mod d
147-2d= 47
d=50>49

Insufficient

Asad
What is the value of \(d\) if the remainder when \(n\) is divided by \(d\) is \(49\)?
1) the remainder when \(2n\) is divided by \(d\) is \(48\)
2) the remainder when \(3n\) is divided by \(d\) is \(47\)
Show more
User avatar
NeverEverGiveUp11
User avatar
Joined: 11 Jul 2018
Last visit: 17 Dec 2022
Posts: 69
Own Kudos:
35
Given Kudos: 267
Location: India
Schools: Tepper '23 (D)
GMAT 1: 640 Q48 V30
GMAT 2: 710 Q49 V38
Products:
My Reviews
Schools: Tepper '23 (D)
GMAT 2: 710 Q49 V38
Posts: 69
Kudos: 35
What is the value of d if the remainder when n is divided by d is 49? 01 Aug 2019, 19:27
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Asad
What is the value of \(d\) if the remainder when \(n\) is divided by \(d\) is \(49\)?
1) the remainder when \(2n\) is divided by \(d\) is \(48\)
2) the remainder when \(3n\) is divided by \(d\) is \(47\)
Show more

IMO: Ans is D

we have \(n=d*k+49\)....... (a) where k is some constant integer

(1)
Given : \(2*n=d*k_1 + 48\) ..... (b) where \(k_1\) is some constant integer
Now, do (b)-(a) we get .... \(n=d*(k_1-k)-1\)....(c)
Comparing (a) and (c) we can conclude that \(d\) is 50.

(2)
Given: \(3*n=d*k_2+47\) ...... (d) where \(k_2\) is some constant integer
Now, do (d)-(a), we get.... \(2*n=d*(k_2-k)-2\) .....(e)
since \(2*n\) is integer, we can divide equation (e) by 2 to get
\(n=d*(k_2-k)/2-1\) comparing this equation and (a) we can conclude \(d\) as 50
User avatar
stne
User avatar
Joined: 27 May 2012
Last visit: 23 Apr 2026
Posts: 1,809
Own Kudos:
2,090
Given Kudos: 679
Posts: 1,809
Kudos: 2,090
What is the value of d if the remainder when n is divided by d is 49? 04 Aug 2019, 03:50
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Suryakumar
Asad
What is the value of \(d\) if the remainder when \(n\) is divided by \(d\) is \(49\)?
1) the remainder when \(2n\) is divided by \(d\) is \(48\)
2) the remainder when \(3n\) is divided by \(d\) is \(47\)

IMO: Ans is D

we have \(n=d*k+49\)....... (a) where k is some constant integer

(1)
Given : \(2*n=d*k_1 + 48\) ..... (b) where \(k_1\) is some constant integer
Now, do (b)-(a) we get .... \(n=d*(k_1-k)-1\)....(c)
Comparing (a) and (c) we can conclude that \(d\) is 50.

(2)
Given: \(3*n=d*k_2+47\) ...... (d) where \(k_2\) is some constant integer
Now, do (d)-(a), we get.... \(2*n=d*(k_2-k)-2\) .....(e)
since \(2*n\) is integer, we can divide equation (e) by 2 to get
\(n=d*(k_2-k)/2-1\) comparing this equation and (a) we can conclude \(d\) as 50
Show more

Hi Suryakumar,

Can you elaborate how comparing a and c gives d = 50 ?
User avatar
nick1816
User avatar
Retired Moderator
Joined: 19 Oct 2018
Last visit: 12 Mar 2026
Posts: 1,841
Own Kudos:
8,511
Given Kudos: 707
Location: India
Posts: 1,841
Kudos: 8,511
What is the value of d if the remainder when n is divided by d is 49? 04 Aug 2019, 15:45
Kudos
Add Kudos
Bookmarks
Bookmark this Post
n= xd+49, where d>49 and x is an integer......(1)

Statement 1-
2n=yd+48.....(2)

From equation (1)
2n=2xd+98
2n=2xd+50+48....(3)

Comparing (2) and (3), we get that 50 must be divisible by d.
As d>49, only value that d can take is 50

Sufficient

Statement 2-
3n=zd+47.....(4)

From equation (1)
3n=3xd+147
3n=2xd+100+47....(5)

Comparing (4) and (5), we get that 100 must be divisible by d.
As d>49, values that d can take are 50 and 100
Insufficient

A






stne
Suryakumar
Asad
What is the value of \(d\) if the remainder when \(n\) is divided by \(d\) is \(49\)?
1) the remainder when \(2n\) is divided by \(d\) is \(48\)
2) the remainder when \(3n\) is divided by \(d\) is \(47\)

IMO: Ans is D

we have \(n=d*k+49\)....... (a) where k is some constant integer

(1)
Given : \(2*n=d*k_1 + 48\) ..... (b) where \(k_1\) is some constant integer
Now, do (b)-(a) we get .... \(n=d*(k_1-k)-1\)....(c)
Comparing (a) and (c) we can conclude that \(d\) is 50.

(2)
Given: \(3*n=d*k_2+47\) ...... (d) where \(k_2\) is some constant integer
Now, do (d)-(a), we get.... \(2*n=d*(k_2-k)-2\) .....(e)
since \(2*n\) is integer, we can divide equation (e) by 2 to get
\(n=d*(k_2-k)/2-1\) comparing this equation and (a) we can conclude \(d\) as 50

Hi Suryakumar,

Can you elaborate how comparing a and c gives d = 50 ?
Show more
Moderators:
Bunuel
Math Expert
109818 posts
kingbucky
498 posts
Gmat860sanskar
212 posts