Oct 16 08:00 PM PDT  09:00 PM PDT EMPOWERgmat is giving away the complete Official GMAT Exam Pack collection worth $100 with the 3 Month Pack ($299) Oct 18 08:00 AM PDT  09:00 AM PDT Learn an intuitive, systematic approach that will maximize your success on Fillintheblank GMAT CR Questions. Oct 19 07:00 AM PDT  09:00 AM PDT Does GMAT RC seem like an uphill battle? eGMAT is conducting a free webinar to help you learn reading strategies that can enable you to solve 700+ level RC questions with at least 90% accuracy in less than 10 days. Sat., Oct 19th at 7 am PDT Oct 20 07:00 AM PDT  09:00 AM PDT Get personalized insights on how to achieve your Target Quant Score. Oct 22 08:00 PM PDT  09:00 PM PDT On Demand for $79. For a score of 4951 (from current actual score of 40+) AllInOne Standard & 700+ Level Questions (150 questions)
Author 
Message 
TAGS:

Hide Tags

Manager
Joined: 17 May 2017
Posts: 119
GPA: 3

x, y are positive integers. When x is divided by y, the remainder is 6
[#permalink]
Show Tags
03 Jul 2017, 04:13
Question Stats:
65% (01:57) correct 35% (01:55) wrong based on 144 sessions
HideShow timer Statistics
x, y are positive integers. When x is divided by y, the remainder is 6 and x/y=6.12, what is the value of x? A. 6 B. 50 C. 206 D. 306 E. 336
Official Answer and Stats are available only to registered users. Register/ Login.



Intern
Joined: 24 Sep 2016
Posts: 17

Re: x, y are positive integers. When x is divided by y, the remainder is 6
[#permalink]
Show Tags
03 Jul 2017, 05:22
Ans :D 0,12y =6 y=50 x=6y +6=306 Sent from my Mi 4i using GMAT Club Forum mobile app



Board of Directors
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 4782
Location: India
GPA: 3.5
WE: Business Development (Commercial Banking)

Re: x, y are positive integers. When x is divided by y, the remainder is 6
[#permalink]
Show Tags
03 Jul 2017, 09:06
haardiksharma wrote: x, y are positive integers. When x is divided by y, the remainder is 6 and x/y=6.12, what is the value of x?
A. 6 B. 50 C. 206 D. 306 E. 336 \(\frac{x}{y} = 6.12\) Or, \(\frac{x}{y} = \frac{612}{100}\) Or, \(x = 306\) & \(y = 50\) ( Here we have x is divided by y, the remainder is 6 and x/y=6.12 )Thus, the answer must be (D) 306
_________________



VP
Joined: 07 Dec 2014
Posts: 1222

x, y are positive integers. When x is divided by y, the remainder is 6
[#permalink]
Show Tags
03 Jul 2017, 11:14
haardiksharma wrote: x, y are positive integers. When x is divided by y, the remainder is 6 and x/y=6.12, what is the value of x?
A. 6 B. 50 C. 206 D. 306 E. 336 x/y=6.12 (x6)/y=6 subtracting, 6/y=.12 y=50 50*6.12=x=306 D



Manager
Joined: 23 May 2017
Posts: 235
Concentration: Finance, Accounting
WE: Programming (Energy and Utilities)

Re: x, y are positive integers. When x is divided by y, the remainder is 6
[#permalink]
Show Tags
03 Jul 2017, 12:17
x, y are positive integers. When x is divided by y, the remainder is 6 and x/y=6.12, what is the value of x? \(\frac{x}{y}\) = k + \(\frac{6}{y}\) = 6 + 0.12 so k = 6 & \(\frac{6}{y}\) = 0.12 so y = 50m ( m is a factor ) let's say m = 1 ; y = 50 ; x = 50 + 6 = 56 ; \(\frac{x}{y}\) = \(\frac{56}{50}\) <> 6.12 let's say m = 2 ; y = 50 ; x = 100 + 6 = 106 ; \(\frac{x}{y}\) = \(\frac{106}{50}\) <> 6.12 let's say m = 3 ; y = 50 ; x = 150 + 6 = 156 ; \(\frac{x}{y}\) = \(\frac{156}{50}\) <> 6.12 let's say m = 4 ; y = 50 ; x = 200 + 6 = 206 ; \(\frac{x}{y}\) = \(\frac{206}{50}\) <> 6.12 let's say m = 5 ; y = 50 ; x = 250 + 6 = 256 ; \(\frac{x}{y}\) = \(\frac{256}{50}\) <> 6.12 let's say m = 6 ; y = 50 ; x = 300 + 6 = 306 ; \(\frac{x}{y}\) = \(\frac{306}{50}\) = 6.12
_________________
If you like the post, please award me Kudos!! It motivates me



Manager
Joined: 12 Sep 2016
Posts: 64
Location: India
GPA: 3.15

x, y are positive integers. When x is divided by y, the remainder is 6
[#permalink]
Show Tags
04 Jul 2017, 00:42
since the remainder is 6 and the decimal part of the quotient is .12
0.12 * y = 6 {decimal part of quotient * divisor = remainder}
therefore y = 6/0.12 = 50 and x = 6y +6 = 6(50)+6 = 306
Option D



Senior SC Moderator
Joined: 22 May 2016
Posts: 3544

x, y are positive integers. When x is divided by y, the remainder is 6
[#permalink]
Show Tags
04 Jul 2017, 04:57
haardiksharma wrote: x, y are positive integers. When x is divided by y, the remainder is 6 and x/y=6.12, what is the value of x?
A. 6 B. 50 C. 206 D. 306 E. 336 1. \(\frac{x}{y}\) = 6.12 = 6 + \(\frac{12}{100}\), or + \(\frac{3}{25}\)2. \(\frac{x}{y}\) = a + \(\frac{6}{y}\), where latter = \(\frac{r}{y}\) from remainder formula 3. Set \(\frac{r}{y}\) equal to the decimal part of the decimal quotient from #1, and solve for y: \(\frac{6}{y}\) = \(\frac{3}{25}\) > y = 50 4. Rebuild the dividend x: \(\frac{x}{y}\) = a + \(\frac{6}{y}\) > x = (a)(y) + 6 From the quotient 6.12, we know a = 6 (the integer part of the quotient in decimal form = the integer quotient) 5. x = (6)(50) + 6 = 306, Answer D An exceptionally clear explanation for problems like this one is from Mike McGarry, here: https://magoosh.com/gmat/2012/gmatquantthoughtsonremainders
_________________
SC Butler has resumed! Get two SC questions to practice, whose links you can find by date, here.Choose life.



Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 8069
Location: United States (CA)

Re: x, y are positive integers. When x is divided by y, the remainder is 6
[#permalink]
Show Tags
28 Oct 2018, 18:21
haardiksharma wrote: x, y are positive integers. When x is divided by y, the remainder is 6 and x/y=6.12, what is the value of x?
A. 6 B. 50 C. 206 D. 306 E. 336 We must remember that the remainder formula is: x/y = Q + r/y Substituting values into the equation, we have: x/y = 6 + 12/100 x/y = 6 + 3/25 Thus, we see that 3/25 represents r/y, and since we are told that r = 6 we have: 3/25 = 6/y 3y = 6(25) y = 2(25) = 50 Since y is 50, we see that x = 6.12y = 6.12(50) = 306. Answer: D
_________________
5star rated online GMAT quant self study course See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews If you find one of my posts helpful, please take a moment to click on the "Kudos" button.




Re: x, y are positive integers. When x is divided by y, the remainder is 6
[#permalink]
28 Oct 2018, 18:21






