NEW HERE? LEARN MORE
closeclose
Last visit was: 26 Apr 2024, 15:07 It is currently 26 Apr 2024, 15:07
Decision Tracker
My Rewards
New posts
New comers' posts

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

When a is divided by b the remainder is 13.When c is divided by d the

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
D
stonecold
Alum
Joined: 12 Aug 2015
Posts: 2282
Own Kudos [?]: 3132 [26]
Given Kudos: 893
Schools: Boston U '20 (M)
GRE 1: Q169 V154
Send PM
GMAT ToolKit User
When a is divided by b the remainder is 13.When c is divided by d the [#permalink] New post   28 Oct 2016, 22:48
26
Bookmarks
00:00
A
B
C
D
E

Difficulty:

35% (medium)

Question Stats:

67% (01:28) correct 33% (01:52) wrong based on 293 sessions
Hide Show timer Statistics
When a is divided by b the remainder is 13.When c is divided by d the remainder is 12.
If a,b,c,d are all positive integers then which of these may be the value of b+d?

1)23
2)24
3)25
4)26
5)27
ShowHide Answer
Official Answer
E
Most Helpful Reply
User avatar
L
BrentGMATPrepNow
GMAT Club Legend
GMAT Club Legend
Joined: 12 Sep 2015
Posts: 6818
Own Kudos [?]: 29941 [10]
Given Kudos: 799
Location: Canada
Send PM
When a is divided by b the remainder is 13.When c is divided by d the [#permalink] New post   Updated on: 12 Jul 2021, 09:22
3
Kudos
7
Bookmarks
Expert Reply
Top Contributor
stonecold wrote:
When a is divided by b the remainder is 13.When c is divided by d the remainder is 12.
If a,b,c,d are all positive integers then which of these may be the value of b+d?

1)23
2)24
3)25
4)26
5)27


Important rule: When positive integer N is divided by positive integer D, the remainder R is such that 0 < R < D
For example, if we divide some positive integer by 7, the remainder can be 6, 5, 4, 3, 2, 1, or 0
Likewise, if we divide some positive integer by 4, the remainder can be 3, 2, 1, or 0


In the original question, we're told that, when a is divided by b the remainder is 13
So, b must be greater than 13.
In other words, b COULD equal 14, 15, 16, 17, ....

We're also told that, c is divided by d the remainder is 12
So, d must be greater than 12.
In other words, d COULD equal 13, 14, 15, 16, ....

So, the smallest possible value of b+d is 14+13
In other words, b+d COULD equal 27

Answer: E

RELATED VIDEO

Originally posted by BrentGMATPrepNow on 29 Oct 2016, 15:36.
Last edited by BrentGMATPrepNow on 12 Jul 2021, 09:22, edited 1 time in total.
General Discussion
User avatar
B
acegmat123
Manager
Manager
Joined: 28 Jun 2016
Posts: 153
Own Kudos [?]: 190 [1]
Given Kudos: 99
Location: Canada
Concentration: Operations, Entrepreneurship
Send PM
Re: When a is divided by b the remainder is 13.When c is divided by d the [#permalink] New post   28 Oct 2016, 22:59
1
Bookmarks
b has to be greater than or equal to 14.

d has to be greater than or equal to 13.

b+d>=27

E


Sent from my iPhone using GMAT Club Forum mobile app
avatar
B
SidKan
Intern
Intern
Joined: 02 Oct 2016
Posts: 20
Own Kudos [?]: 3 [1]
Given Kudos: 35
Send PM
Reviews Badge
Re: When a is divided by b the remainder is 13.When c is divided by d the [#permalink] New post   08 Apr 2018, 07:17
1
Kudos
b has to be greater than or equal to 14.

d has to be greater than or equal to 13.

b+d>=27

E
User avatar
D
BrushMyQuant
Tutor
Joined: 05 Apr 2011
Status:Tutor - BrushMyQuant
Posts: 1777
Own Kudos [?]: 2094 [1]
Given Kudos: 100
Location: India
Concentration: Finance, Marketing
Schools: XLRI (A)
GMAT 1: 700 Q51 V31
GPA: 3
WE:Information Technology (Computer Software)
Send PM
Re: When a is divided by b the remainder is 13.When c is divided by d the [#permalink] New post   20 Oct 2022, 10:25
1
Kudos
Expert Reply
Top Contributor
Given that When a is divided by b the remainder is 13.When c is divided by d the remainder is 12. and we need to find which of these may be the value of b+d

Theory: When a number is divided by another number lets say "n" then the remainder can only be from 0 to n-1

When a is divided by b the remainder is 13
=> b > 13 => Min value of b = 14

When c is divided by d the remainder is 12
=> c > 12 => Min value of c = 13

=> Min value of b + c = 14 + 13 = 27

So, Answer will be E
Hope it helps!

Watch the following video to learn the Basics of Remainders

User avatar
bumpbot
Non-Human User
Joined: 09 Sep 2013
Posts: 32689
Own Kudos [?]: 822 [0]
Given Kudos: 0
Send PM
Re: When a is divided by b the remainder is 13.When c is divided by d the [#permalink] New post   04 Dec 2023, 10:31
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 Club Bot
gmatclubot
Re: When a is divided by b the remainder is 13.When c is divided by d the [#permalink]
04 Dec 2023, 10:31
Moderators:
Bunuel
Math Expert
92948 posts
yashikaaggarwal
Senior Moderator - Masters Forum
3137 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions