NEW HERE? LEARN MORE
closeclose
Last visit was: 26 Apr 2024, 09:18 It is currently 26 Apr 2024, 09:18
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 positive integer A is divided by positive integer

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
D
shashankism
Director
Director
Joined: 13 Mar 2017
Affiliations: IIT Dhanbad
Posts: 628
Own Kudos [?]: 589 [41]
Given Kudos: 88
Location: India
Concentration: General Management, Entrepreneurship
GPA: 3.8
WE:Engineering (Energy and Utilities)
Send PM
When positive integer A is divided by positive integer [#permalink] New post   06 Jun 2017, 05:50
4
Kudos
36
Bookmarks
00:00
A
B
C
D
E

Difficulty:

35% (medium)

Question Stats:

71% (01:24) correct 29% (02:00) wrong based on 670 sessions
Hide Show timer Statistics
When positive integer A is divided by positive integer B, the result is 9.35. Which of the following could be the remainder when A is divided by B ?

(A) 13
(B) 14
(C) 15
(D) 16
(E) 17
ShowHide Answer
Official Answer
B
Most Helpful Reply
User avatar
L
BrentGMATPrepNow
GMAT Club Legend
GMAT Club Legend
Joined: 12 Sep 2015
Posts: 6818
Own Kudos [?]: 29939 [16]
Given Kudos: 799
Location: Canada
Send PM
When positive integer A is divided by positive integer [#permalink] New post   Updated on: 02 Oct 2017, 11:35
7
Kudos
9
Bookmarks
Expert Reply
Top Contributor
shashankism wrote:
When positive integer A is divided by positive integer B, the result is 9.35. Which of the following could be the remainder when A is divided by B ?

(A) 13
(B) 14
(C) 15
(D) 16
(E) 17


Given: A/B = 9.35
So, we can write: A/B = 935/100
So, dividing A by B is the same as dividing 935 by 100
When we do this, we get 9 with remainder 35
Check the answer choice.....not there.

Now what?
We should recognize that we can simplify 935/100 by dividing top and bottom by 5 to get the equivalent fraction 187/20
In other words, we can say A/B = 187/20
So, dividing A by B is the same as dividing 187 by 20
When we do this, we get 9 with remainder 7
Check the answer choice.....not there.
Now what?

When I check the answer choices, I see that B (14) is a multiple of 7
That should give us a hint about another way to express our given fraction.
Take 187/20 and double the top and bottom to get the equivalent fraction 374/40
When we divide 374 by 40, we get remainder 14
DONE!

Answer:
Show Spoiler
B


RELATED VIDEO

Originally posted by BrentGMATPrepNow on 06 Jun 2017, 09:44.
Last edited by BrentGMATPrepNow on 02 Oct 2017, 11:35, edited 1 time in total.
General Discussion
avatar
B
obliraj
Intern
Intern
Joined: 26 Jul 2016
Posts: 35
Own Kudos [?]: 22 [4]
Given Kudos: 21
Location: India
Schools: NTU '20 (S) (S) NUS '21 (S) IIMA PGPX"20 (D) IIMC PGPEX"20 (A)
Send PM
Re: When positive integer A is divided by positive integer [#permalink] New post   06 Jun 2017, 08:48
1
Kudos
3
Bookmarks
(A/B)=Q+(R/B)
9.35=9+(35/100)=9+(7/20)
So reminder should be a multiple of 7...
So answer B
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92945
Own Kudos [?]: 619195 [3]
Given Kudos: 81609
Send PM
CAT Tests Forum Quiz Mode
Re: When positive integer A is divided by positive integer [#permalink] New post   06 Jun 2017, 08:37
1
Kudos
2
Bookmarks
Expert Reply
shashankism wrote:
When positive integer A is divided by positive integer B, the result is 9.35. Which of the following could be the remainder when A is divided by B ?

(A) 13
(B) 14
(C) 15
(D) 16
(E) 17


Similar questions to practice:
https://gmatclub.com/forum/when-positive ... 06493.html
https://gmatclub.com/forum/if-s-and-t-ar ... 35190.html
https://gmatclub.com/forum/when-positiv ... 88341.html
avatar
S
BeingHan
Manager
Manager
Joined: 30 Mar 2017
Posts: 53
Own Kudos [?]: 53 [2]
Given Kudos: 14
Send PM
Re: When positive integer A is divided by positive integer [#permalink] New post   06 Jun 2017, 06:01
1
Kudos
1
Bookmarks
Should be B. The only one through which we can get .35 after dividing it by 40.( An integer) so A= 40*9+14=374.

Sent from my Moto G (5) Plus using GMAT Club Forum mobile app
User avatar
S
mohshu
Senior Manager
Senior Manager
Joined: 21 Mar 2016
Posts: 448
Own Kudos [?]: 117 [0]
Given Kudos: 103
Send PM
Reviews Badge
Re: When positive integer A is divided by positive integer [#permalink] New post   07 Jun 2017, 09:29
consider the decimal part.. 35/100 equals to 7/20

remaineder shud be multiple of 7,,
ans B 14
hope it helps
User avatar
L
GmatKnightTutor
GMAT Club Legend
GMAT Club Legend
Joined: 31 Jan 2020
Posts: 4414
Own Kudos [?]: 1304 [0]
Given Kudos: 16
Send PM
Re: When positive integer A is divided by positive integer [#permalink] New post   28 Feb 2020, 03:56
Consider playing around with some small integers to understand the underlying concept behind this question, people.
User avatar
D
BrushMyQuant
Tutor
Joined: 05 Apr 2011
Status:Tutor - BrushMyQuant
Posts: 1777
Own Kudos [?]: 2094 [0]
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 positive integer A is divided by positive integer [#permalink] New post   04 Jan 2022, 09:16
Expert Reply
Top Contributor
When positive integer A is divided by positive integer B, the result is 9.35

\(\frac{A}{B}\) = 9.35
=> A = B*9.35 = B *(9 + 0.35)
=> A = B*9 + B*0.35
=> A when divided by B gives 9 as Quotient and 0.35B as remainder

=> B *0.35 is an integer
Remainder = B * \(\frac{35}{100}\) = B * \(\frac{7}{20}\)
= \(\frac{B}{20}\) * 7
=> Remainder is a multiple of 7
Only, option choice possible is 14

So, Answer will be B
Hope it helps!

Watch the following video to learn the Basics of Remainders

User avatar
bumpbot
Non-Human User
Joined: 09 Sep 2013
Posts: 32686
Own Kudos [?]: 822 [0]
Given Kudos: 0
Send PM
Re: When positive integer A is divided by positive integer [#permalink] New post   11 Feb 2024, 05:08
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 positive integer A is divided by positive integer [#permalink]
11 Feb 2024, 05:08
Moderators:
Bunuel
Math Expert
92945 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