GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 16 Oct 2019, 17:24

### 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

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

# x, y are positive integers. When x is divided by y, the remainder is 6

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

### Hide Tags

Manager
Joined: 17 May 2017
Posts: 119
Schools: ESSEC '20
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
1
4
00:00

Difficulty:

45% (medium)

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
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
1
1
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
1
2
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
_________________
Thanks and Regards

Abhishek....

PLEASE FOLLOW THE RULES FOR POSTING IN QA AND VA FORUM AND USE SEARCH FUNCTION BEFORE POSTING NEW QUESTIONS

How to use Search Function in GMAT Club | Rules for Posting in QA forum | Writing Mathematical Formulas |Rules for Posting in VA forum | Request Expert's Reply ( VA Forum Only )
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
1
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
(x-6)/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
GMAT 1: 700 Q50 V34
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
1
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/gmat-quant-thoughts-on-remainders
_________________
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.

_________________

# Scott Woodbury-Stewart

Founder and CEO

Scott@TargetTestPrep.com
122 Reviews

5-star 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
Display posts from previous: Sort by

# x, y are positive integers. When x is divided by y, the remainder is 6

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

 Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne