Find all School-related info fast with the new School-Specific MBA Forum

It is currently 25 Sep 2016, 14:26
GMAT Club Tests

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.

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

When positive integer x is divided by positive integer y,

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

Hide Tags

2 KUDOS received
Senior Manager
Senior Manager
avatar
Joined: 28 Aug 2010
Posts: 257
Followers: 6

Kudos [?]: 472 [2] , given: 11

When positive integer x is divided by positive integer y, [#permalink]

Show Tags

New post 18 Dec 2010, 08:13
2
This post received
KUDOS
37
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

70% (02:08) correct 30% (01:34) wrong based on 1414 sessions

HideShow timer Statistics

When positive integer x is divided by positive integer y, the remainder is 9. If x/y = 96.12, what is the value of y?

(A) 96
(B) 75
(C) 48
(D) 25
(E) 12
[Reveal] Spoiler: OA

_________________

Verbal:new-to-the-verbal-forum-please-read-this-first-77546.html
Math: new-to-the-math-forum-please-read-this-first-77764.html
Gmat: everything-you-need-to-prepare-for-the-gmat-revised-77983.html
-------------------------------------------------------------------------------------------------
Ajit


Last edited by Bunuel on 09 Feb 2013, 01:56, edited 2 times in total.
Renamed the topic and edited the question.
Expert Post
35 KUDOS received
Veritas Prep GMAT Instructor
User avatar
Joined: 16 Oct 2010
Posts: 6906
Location: Pune, India
Followers: 1989

Kudos [?]: 12350 [35] , given: 221

Re: Remainder problem [#permalink]

Show Tags

New post 18 Dec 2010, 19:03
35
This post received
KUDOS
Expert's post
16
This post was
BOOKMARKED
ajit257 wrote:
When positive integer x is divided by positive integer y, the remainder is 9. If x/y = 96.12, what is the value of y?
A. 96
B. 75
C. 48
D. 25
E. 12

Any faster way to solve this ?


Think of it this way:
\(\frac{x}{y} = 96.12 = 96 \frac{12}{100}\) (in mixed fraction format)\(= 96 \frac{3}{25}\)
This means when x is divided by y, quotient obtained is 96 and remainder is 3 if y is 25. If remainder is 9, y must be 75.
_________________

Karishma
Veritas Prep | GMAT Instructor
My Blog

Get started with Veritas Prep GMAT On Demand for $199

Veritas Prep Reviews

Expert Post
18 KUDOS received
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 34830
Followers: 6481

Kudos [?]: 82602 [18] , given: 10108

Re: Remainder problem [#permalink]

Show Tags

New post 18 Dec 2010, 08:28
18
This post received
KUDOS
Expert's post
15
This post was
BOOKMARKED
ajit257 wrote:
When positive integer x is divided by positive integer y, the remainder is 9. If x/y = 96.12, what is the value of y?
A. 96
B. 75
C. 48
D. 25
E. 12

Any faster way to solve this ?


When positive integer x is divided by positive integer y, the remainder is 9 --> x=qy+9;
x/y=96.12 --> x=96y+0.12y (so q above equals to 96);

0.12y=9 --> y=75.

Answer: B.
_________________

New to the Math Forum?
Please read this: All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

3 KUDOS received
Current Student
avatar
Joined: 03 Aug 2012
Posts: 916
Concentration: General Management, General Management
GMAT 1: 630 Q47 V29
GMAT 2: 680 Q50 V32
GPA: 3.7
WE: Information Technology (Investment Banking)
Followers: 22

Kudos [?]: 626 [3] , given: 322

Premium Member
Re: PS Integers and remainder [#permalink]

Show Tags

New post 24 Sep 2013, 08:50
3
This post received
KUDOS
2
This post was
BOOKMARKED
Easy it is

x/y = 96 + .12..... (1)

Remember here:

x = yQ + R

Can also be written as

x/y = Q + R/y ..... (2)

Comparing (1) and (2)

Q=96 and
R/y=.12

We know that Remainder is 9 , hence R=9

y=75
_________________

Rgds,
TGC!
_____________________________________________________________________
I Assisted You => KUDOS Please
_____________________________________________________________________________

2 KUDOS received
Current Student
avatar
Joined: 26 Sep 2013
Posts: 221
Concentration: Finance, Economics
GMAT 1: 670 Q39 V41
GMAT 2: 730 Q49 V41
Followers: 4

Kudos [?]: 116 [2] , given: 40

Re: When positive integer x is divided by positive integer y, [#permalink]

Show Tags

New post 23 Oct 2013, 18:13
2
This post received
KUDOS
2
This post was
BOOKMARKED
ajit257 wrote:
When positive integer x is divided by positive integer y, the remainder is 9. If x/y = 96.12, what is the value of y?

(A) 96
(B) 75
(C) 48
(D) 25
(E) 12



when you are given a remainder from a fraction, and the remainder is in decimal form, you can solve for like this:

\(\frac{Remainder}{denominator}\)=[decimal of quotient]

So in this case; \(\frac{9}{y}\)=.12
=
\(\frac{9}{y}\)= \(\frac{12}{100}\)
=
\(\frac{9}{y}\)= \(\frac{3}{25}\)
=
3y=225
=
y=75

B
1 KUDOS received
Manager
Manager
User avatar
Status: Pushing Hard
Affiliations: GNGO2, SSCRB
Joined: 30 Sep 2012
Posts: 89
Location: India
Concentration: Finance, Entrepreneurship
GPA: 3.33
WE: Analyst (Health Care)
Followers: 1

Kudos [?]: 80 [1] , given: 11

Reviews Badge
Re: When positive integer x is divided by positive integer y [#permalink]

Show Tags

New post 09 May 2013, 21:01
1
This post received
KUDOS
1
This post was
BOOKMARKED
laythesmack23 wrote:
When positive integer x is divided by positive integer y, the remainder is 9. If x/y = 96.12, what is the value of y?


A) 96
B) 75
C) 48
D) 25
E) 12


As we know, \(Decimal Part\) \(=\) \(\frac{Remainder}{Divisor}\)

Therefore, .12 = \(\frac{x}{y}\)

or \(\frac{12}{100}\) = \(\frac{x}{y}\)

or \(\frac{3}{25}\) = \(\frac{x}{y}\)

or \(\frac{9}{75}\) = \(\frac{x}{y}\)

Hence, 75 ... Hence, B ..........
_________________

If you don’t make mistakes, you’re not working hard. And Now that’s a Huge mistake.

1 KUDOS received
Manager
Manager
avatar
Joined: 30 May 2013
Posts: 190
Location: India
Concentration: Entrepreneurship, General Management
GPA: 3.82
Followers: 0

Kudos [?]: 57 [1] , given: 72

GMAT ToolKit User
Re: When positive integer x is divided by positive integer y, [#permalink]

Show Tags

New post 16 Aug 2013, 22:55
1
This post received
KUDOS
Galiya wrote:
Quote:
When positive integer x is divided by positive integer y, the remainder is 9 --> x=qy+9;
x/y=96.12 --> x=96y+0.12y (so q above equals to 96);


Bunuel
why did you assume that q=96? while solving the question I threw away the thought that q=96 because reminders were different


Hi Galiya,

For this i will give u a example
When 23/2 =11.5 (Q = 11 and Remainder = 1)
Here Quotient = 11 and Remainder = .5 * 2 (Divisor) = 1

Hence in the original problem q = 96
x/y = 96.12-->
X= q *y (divisor) + Remainder (.12* Divisor)

Hope its clear.

Regards,
Rrsnathan.
Expert Post
1 KUDOS received
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 34830
Followers: 6481

Kudos [?]: 82602 [1] , given: 10108

Re: Remainder problem [#permalink]

Show Tags

New post 19 Dec 2013, 09:11
1
This post received
KUDOS
Expert's post
aeglorre wrote:
Bunuel wrote:
ajit257 wrote:
When positive integer x is divided by positive integer y, the remainder is 9. If x/y = 96.12, what is the value of y?
A. 96
B. 75
C. 48
D. 25
E. 12

Any faster way to solve this ?


When positive integer x is divided by positive integer y, the remainder is 9 --> x=qy+9;
x/y=96.12 --> x=96y+0.12y (so q above equals to 96);

0.12y=9 --> y=75.

Answer: B.


Are there any other questions similar to this one? I just simply cannot seem to wrap my head around the concept, so practicing on more examples would probably help.

Thanks in advance.


Check this one: if-s-and-t-are-positive-integers-such-that-s-t-64-12-which-135190.html

Hope it helps.
_________________

New to the Math Forum?
Please read this: All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

1 KUDOS received
Manager
Manager
User avatar
Status: Head GMAT Instructor
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 239
Followers: 11

Kudos [?]: 51 [1] , given: 2

Re: When positive integer x is divided by positive integer y, [#permalink]

Show Tags

New post 07 Jun 2016, 11:10
1
This post received
KUDOS
ajit257 wrote:
When positive integer x is divided by positive integer y, the remainder is 9. If x/y = 96.12, what is the value of y?

(A) 96
(B) 75
(C) 48
(D) 25
(E) 12


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

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

In this problem we are given that when positive integer x is divided by positive integer y, the remainder is 9. So we can say:

x/y = Q + 9/y

We also are given that x/y = 96.12. Using the remainder formula we can say:

x/y = 96.12

x/y = 96 + 0.12

x/y = 96 + 12/100

Because Q is always an integer, we see that Q must be 96, and thus the remainder 9/y must be 12/100. We can now equate 9/y to 12/100 and determine the value of y.

9/y = 12/100

12y = 9 x 100

y = 900/12 = 75

Note: Had we simplified 12/100 to 3/25 first, we would have also obtained the same answer. See below.

9/y = 3/25

3y = 9 x 25

y = 3 x 25 = 75

Answer is B.
_________________

Image
Jeffrey Miller
Jeffrey Miller
Head of GMAT Instruction

1 KUDOS received
Intern
Intern
avatar
Joined: 28 Dec 2015
Posts: 40
Followers: 1

Kudos [?]: 1 [1] , given: 61

CAT Tests
Re: When positive integer x is divided by positive integer y, [#permalink]

Show Tags

New post 10 Jun 2016, 00:06
1
This post received
KUDOS
x/y,r=9

x=qy+9

divide LHS and RHS by y

x/y=q+9/y

96.12--->0.12 is the remainder part.

9/y=0.12

or y=9/0.12=75
Manager
Manager
avatar
Joined: 25 Jun 2010
Posts: 91
Followers: 1

Kudos [?]: 31 [0], given: 0

GMAT ToolKit User
Re: Remainder problem [#permalink]

Show Tags

New post 18 Dec 2010, 12:08
ajit257,
That is the easiest way - as Bunuel solved.

Now try to solve the same question with one change that you don't know the remainder. Believe me, that would be an even better question (and you have the same options as answers).

It will make your concepts more clear.

Thanks
Senior Manager
Senior Manager
avatar
Joined: 28 Aug 2010
Posts: 257
Followers: 6

Kudos [?]: 472 [0], given: 11

Re: Remainder problem [#permalink]

Show Tags

New post 19 Dec 2010, 13:44
thanks guys....

anshumishra....thanks for the hint. i feel better now.
_________________

Verbal:new-to-the-verbal-forum-please-read-this-first-77546.html
Math: new-to-the-math-forum-please-read-this-first-77764.html
Gmat: everything-you-need-to-prepare-for-the-gmat-revised-77983.html
-------------------------------------------------------------------------------------------------
Ajit

Manager
Manager
avatar
Joined: 25 Jun 2010
Posts: 91
Followers: 1

Kudos [?]: 31 [0], given: 0

GMAT ToolKit User
Re: Remainder problem [#permalink]

Show Tags

New post 19 Dec 2010, 13:49
ajit257 wrote:
thanks guys....

anshumishra....thanks for the hint. i feel better now.


Great ! I am happy that it helped.

Here is another similar problem. Try to solve yourself first.

If s and t are positive integer such that s/t=64.12, which of the following could be the remainder when s is divided by t?
(A) 2
(B) 4
(C) 8
(D) 20
(E) 45

[Reveal] Spoiler:
Ans: E
0.12 = 12/100 = r/t => t = 100*r/12 (where r & t are both integers)
Only E has the integral soln.


Thanks
Expert Post
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 34830
Followers: 6481

Kudos [?]: 82602 [0], given: 10108

Re: Remainder problem [#permalink]

Show Tags

New post 19 Dec 2010, 14:11
anshumishra wrote:
ajit257 wrote:
thanks guys....

anshumishra....thanks for the hint. i feel better now.


Great ! I am happy that it helped.

Here is another similar problem. Try to solve yourself first.

If s and t are positive integer such that s/t=64.12, which of the following could be the remainder when s is divided by t?
(A) 2
(B) 4
(C) 8
(D) 20
(E) 45

[Reveal] Spoiler:
Ans: E
0.12 = 12/100 = r/t => t = 100*r/12 (where r & t are both integers)
Only E has the integral soln.


Thanks


Please try to discuss one question per thread. This question was discussed here: remainders-105400.html#p823773
_________________

New to the Math Forum?
Please read this: All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

VP
VP
avatar
Status: There is always something new !!
Affiliations: PMI,QAI Global,eXampleCG
Joined: 08 May 2009
Posts: 1353
Followers: 17

Kudos [?]: 225 [0], given: 10

Re: PS Integers and remainder [#permalink]

Show Tags

New post 06 May 2011, 11:38
x = y Q + 9

x/y = 96.12

thus 0.12 * y = 9

y = 900/ 12 = 75

B
_________________

Visit -- http://www.sustainable-sphere.com/
Promote Green Business,Sustainable Living and Green Earth !!

Director
Director
avatar
Joined: 01 Feb 2011
Posts: 757
Followers: 14

Kudos [?]: 103 [0], given: 42

Re: PS Integers and remainder [#permalink]

Show Tags

New post 06 May 2011, 11:45
x = qy + 9
x = 96.12y

Equating remainders of above two equations we have

0.12y =9
=> y = 75

Posted from my mobile device Image
SVP
SVP
avatar
Joined: 16 Nov 2010
Posts: 1673
Location: United States (IN)
Concentration: Strategy, Technology
Followers: 34

Kudos [?]: 481 [0], given: 36

Premium Member Reviews Badge
Re: PS Integers and remainder [#permalink]

Show Tags

New post 11 May 2011, 06:51
x = 96y + 0.12y

= 96y + 12y/100

12y/100 = 9

3y/25 = 9

=> y = 75

Answer- B
_________________

Formula of Life -> Achievement/Potential = k * Happiness (where k is a constant)

GMAT Club Premium Membership - big benefits and savings

Intern
Intern
avatar
Joined: 03 Jan 2013
Posts: 3
Followers: 0

Kudos [?]: 0 [0], given: 2

Re: When positive integer x is divided by positive integer y, [#permalink]

Show Tags

New post 08 Feb 2013, 22:11
I got B as well but I set it up a little bit differently.

If x/y has remainder 9, then the remainder is 9 "Y-ths"
Also, if the remainder is .12 then .12 = 12/100 = 3/25.

I set up the equation 9/Y = 3/25 therefore Y= (9*25)/3 after cancellation Y=3*25=75

That said, the correct answer is supposed to be D but everyone else also seems to be getting B so I have no idea what's going on. I would love to hear from someone who got D
Manager
Manager
User avatar
Joined: 16 Jan 2011
Posts: 103
Followers: 11

Kudos [?]: 139 [0], given: 13

Re: When positive integer x is divided by positive integer y, [#permalink]

Show Tags

New post 16 Aug 2013, 02:53
Quote:
When positive integer x is divided by positive integer y, the remainder is 9 --> x=qy+9;
x/y=96.12 --> x=96y+0.12y (so q above equals to 96);


Bunuel
why did you assume that q=96? while solving the question I threw away the thought that q=96 because reminders were different
Senior Manager
Senior Manager
avatar
Joined: 10 Jul 2013
Posts: 335
Followers: 3

Kudos [?]: 282 [0], given: 102

Re: When positive integer x is divided by positive integer y, [#permalink]

Show Tags

New post 17 Aug 2013, 11:57
ajit257 wrote:
When positive integer x is divided by positive integer y, the remainder is 9. If x/y = 96.12, what is the value of y?

(A) 96
(B) 75
(C) 48
(D) 25
(E) 12


12/100 = 3/25 = 9/75 = remainder/quotient
so , y = 75
_________________

Asif vai.....

Re: When positive integer x is divided by positive integer y,   [#permalink] 17 Aug 2013, 11:57

Go to page    1   2    Next  [ 30 posts ] 

    Similar topics Author Replies Last post
Similar
Topics:
When positive integer x is divided by positive integer y, the result kzivrev 6 16 Sep 2016, 15:35
28 Experts publish their posts in the topic When positive integer x is divided by positive integer y, the result i Bunuel 11 28 Jan 2015, 07:40
35 Experts publish their posts in the topic When the positive integer x divided by the positive integer Bunuel 18 17 Jun 2014, 02:58
6 Experts publish their posts in the topic When positive integer X is divided by positive integer Y, th restore 7 11 Aug 2011, 09:18
4 Experts publish their posts in the topic When positive integer x is divided by positive integer y, the remainde humtum0 4 30 Jun 2007, 09:26
Display posts from previous: Sort by

When positive integer x is divided by positive integer y,

  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 and phpBB SEO

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®.