It is currently 24 Feb 2018, 21:20

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

Events & Promotions in June
Open Detailed Calendar

For positive integers a and b, when a is divided by b the remainder is

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

Hide Tags

Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 43898
For positive integers a and b, when a is divided by b the remainder is [#permalink]

Show Tags

New post 18 Apr 2017, 04:06
Expert's post
4
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

69% (01:00) correct 31% (01:51) wrong based on 138 sessions

HideShow timer Statistics

BSchool Forum Moderator
User avatar
V
Joined: 26 Feb 2016
Posts: 2092
Location: India
GPA: 3.12
Premium Member CAT Tests
Re: For positive integers a and b, when a is divided by b the remainder is [#permalink]

Show Tags

New post 18 Apr 2017, 05:49
Since a/b = 32.16, the quotient is 32
Remainder is .16*x = 12
x = 12/.16 = 1200/16 = 300/4 = 75(Option D)

To check if our answer is correct, 75*32 + 12 = 2412.
This when divided by 75 gives us 32.16
_________________

Stay hungry, Stay foolish

2017-2018 MBA Deadlines

Class of 2020: Rotman Thread | Schulich Thread
Class of 2019: Sauder Thread

Director
Director
avatar
G
Joined: 07 Dec 2014
Posts: 907
Re: For positive integers a and b, when a is divided by b the remainder is [#permalink]

Show Tags

New post 18 Apr 2017, 14:37
Bunuel wrote:
For positive integers a and b, when a is divided by b the remainder is 12. If a/b = 32.16, what is the value of b?

A. 25
B. 32
C. 64
D. 75
E. 96


16/100=12/b
b=75
D
Expert Post
2 KUDOS received
Target Test Prep Representative
User avatar
S
Status: Head GMAT Instructor
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2016
Re: For positive integers a and b, when a is divided by b the remainder is [#permalink]

Show Tags

New post 24 Apr 2017, 15:55
2
This post received
KUDOS
Expert's post
1
This post was
BOOKMARKED
Bunuel wrote:
For positive integers a and b, when a is divided by b the remainder is 12. If a/b = 32.16, what is the value of b?

A. 25
B. 32
C. 64
D. 75
E. 96


This problem will be best solved using the remainder formula. Let’s first state the remainder formula:

When positive integer a is divided by positive integer b, if integer Q is the quotient and r is the remainder, then a/b = Q + r/b.

In this problem, we are given that when positive integer a is divided by positive integer b, the remainder is 12. So, we can say:

a/b = Q + 12/b

We also are given that a/b = 32.16. Using the remainder formula, we can say:

a/b = 32.16

a/b = 32 + 0.16

a/b = 32 + 16/100

Because Q is always an integer, we see that Q must be 32, and thus the remainder 12/b must be 16/100. We can now equate 12/b to 16/100 and determine the value of b.

12/b = 16/100

12/b = 4/25

12 x 25 = 4b

3 x 25 = b

75 = b

Answer: D
_________________

Jeffery Miller
Head of GMAT Instruction

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

Senior Manager
Senior Manager
avatar
B
Joined: 06 Dec 2016
Posts: 253
For positive integers a and b, when a is divided by b the remainder is [#permalink]

Show Tags

New post 24 Apr 2017, 17:12
I would do process elimination for this
a/b = 32.16
a/b = 32 4/25

Answer B, C and E are incorrect because they are not multiple of 25.

Then I would do process elimination further

A 25 x 32 = 800 + 12 (Remainder) = 812

812/25 = 32.48. Not the answer

D 75 x 32 = 2400 + 12 (Remainder) = 2412

2412/75 = 32.16 Answer

Answer is D
Intern
Intern
avatar
B
Joined: 11 Feb 2017
Posts: 24
Location: India
Schools: SPJ PGPM"17
GMAT 1: 600 Q48 V25
GPA: 3.57
WE: Engineering (Computer Software)
Reviews Badge
Re: For positive integers a and b, when a is divided by b the remainder is [#permalink]

Show Tags

New post 23 May 2017, 12:50
Since a/b = 32.16, Rem is 0.16*b = 12; b = 12/.16 = 1200/16 = 300/4 = 75(Option D)
Re: For positive integers a and b, when a is divided by b the remainder is   [#permalink] 23 May 2017, 12:50
Display posts from previous: Sort by

For positive integers a and b, when a is divided by b the remainder is

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| Terms and Conditions| 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®.