Author 
Message 
TAGS:

Hide Tags

Senior Manager
Joined: 28 Aug 2010
Posts: 257

When positive integer x is divided by positive integer y, [#permalink]
Show Tags
18 Dec 2010, 08:13
3
This post received KUDOS
56
This post was BOOKMARKED
Question Stats:
69% (02:12) correct
31% (01:35) wrong based on 2039 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
Official Answer and Stats are available only to registered users. Register/ Login.
_________________
Verbal:newtotheverbalforumpleasereadthisfirst77546.html Math: newtothemathforumpleasereadthisfirst77764.html Gmat: everythingyouneedtoprepareforthegmatrevised77983.html  Ajit
Last edited by Bunuel on 09 Feb 2013, 01:56, edited 2 times in total.
Renamed the topic and edited the question.



Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
Posts: 7440
Location: Pune, India

Re: Remainder problem [#permalink]
Show Tags
18 Dec 2010, 19:03
50
This post received KUDOS
Expert's post
28
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



Math Expert
Joined: 02 Sep 2009
Posts: 39607

Re: Remainder problem [#permalink]
Show Tags
18 Dec 2010, 08:28
22
This post received KUDOS
Expert's post
35
This post was BOOKMARKED



Director
Joined: 03 Aug 2012
Posts: 893
Concentration: General Management, General Management
GMAT 1: 630 Q47 V29 GMAT 2: 680 Q50 V32
GPA: 3.7
WE: Information Technology (Investment Banking)

Re: PS Integers and remainder [#permalink]
Show Tags
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 _____________________________________________________________________________



Manager
Joined: 26 Sep 2013
Posts: 220
Concentration: Finance, Economics
GMAT 1: 670 Q39 V41 GMAT 2: 730 Q49 V41

Re: When positive integer x is divided by positive integer y, [#permalink]
Show Tags
23 Oct 2013, 18:13
2
This post received KUDOS
3
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



Manager
Joined: 25 Jun 2010
Posts: 91

Re: Remainder problem [#permalink]
Show Tags
19 Dec 2010, 13:49
1
This post received KUDOS
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 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



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

Re: When positive integer x is divided by positive integer y [#permalink]
Show Tags
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.



Manager
Joined: 30 May 2013
Posts: 188
Location: India
Concentration: Entrepreneurship, General Management
GPA: 3.82

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



Senior Manager
Joined: 10 Jul 2013
Posts: 334

Re: When positive integer x is divided by positive integer y, [#permalink]
Show Tags
17 Aug 2013, 11:57
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 12/100 = 3/25 = 9/75 = remainder/quotient so , y = 75
_________________
Asif vai.....



Math Expert
Joined: 02 Sep 2009
Posts: 39607

Re: Remainder problem [#permalink]
Show Tags
19 Dec 2013, 09:11



Target Test Prep Representative
Status: Head GMAT Instructor
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 1044

Re: When positive integer x is divided by positive integer y, [#permalink]
Show Tags
07 Jun 2016, 11:10
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.
_________________
Jeffery Miller
Head of GMAT Instruction
GMAT Quant SelfStudy Course
500+ lessons 3000+ practice problems 800+ HD solutions



Intern
Joined: 28 Dec 2015
Posts: 42

Re: When positive integer x is divided by positive integer y, [#permalink]
Show Tags
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
Joined: 25 Jun 2010
Posts: 91

Re: Remainder problem [#permalink]
Show Tags
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
Joined: 28 Aug 2010
Posts: 257

Re: Remainder problem [#permalink]
Show Tags
19 Dec 2010, 13:44
thanks guys.... anshumishra....thanks for the hint. i feel better now.
_________________
Verbal:newtotheverbalforumpleasereadthisfirst77546.html Math: newtothemathforumpleasereadthisfirst77764.html Gmat: everythingyouneedtoprepareforthegmatrevised77983.html  Ajit



Math Expert
Joined: 02 Sep 2009
Posts: 39607

Re: Remainder problem [#permalink]
Show Tags
19 Dec 2010, 14:11



VP
Status: There is always something new !!
Affiliations: PMI,QAI Global,eXampleCG
Joined: 08 May 2009
Posts: 1327

Re: PS Integers and remainder [#permalink]
Show Tags
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.sustainablesphere.com/ Promote Green Business,Sustainable Living and Green Earth !!



Director
Joined: 01 Feb 2011
Posts: 755

Re: PS Integers and remainder [#permalink]
Show Tags
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



SVP
Joined: 16 Nov 2010
Posts: 1664
Location: United States (IN)
Concentration: Strategy, Technology

Re: PS Integers and remainder [#permalink]
Show Tags
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
Joined: 03 Jan 2013
Posts: 3

Re: When positive integer x is divided by positive integer y, [#permalink]
Show Tags
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 "Yths" 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
Joined: 16 Jan 2011
Posts: 103

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




Re: When positive integer x is divided by positive integer y,
[#permalink]
16 Aug 2013, 02:53



Go to page
1 2
Next
[ 38 posts ]





Similar topics 
Author 
Replies 
Last post 
Similar Topics:




When positive integer x is divided by positive integer y, the quotient

Bunuel 
2 
14 Jun 2017, 16:21 

13


When positive integer x is divided by positive integer y, the result

kzivrev 
8 
07 Feb 2017, 08:55 

37


When positive integer x is divided by positive integer y, the result i

Bunuel 
11 
07 Jul 2016, 03:18 

8


When positive integer X is divided by positive integer Y, th

restore 
7 
09 May 2014, 07:16 

4


When positive integer x is divided by positive integer y, the remainde

humtum0 
4 
02 Jan 2015, 05:35 



