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

 It is currently 19 Feb 2019, 09:10

### 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

## Events & Promotions

###### Events & Promotions in February
PrevNext
SuMoTuWeThFrSa
272829303112
3456789
10111213141516
17181920212223
242526272812
Open Detailed Calendar
• ### Free GMAT Prep Hour

February 20, 2019

February 20, 2019

08:00 PM EST

09:00 PM EST

Strategies and techniques for approaching featured GMAT topics. Wednesday, February 20th at 8 PM EST

February 21, 2019

February 21, 2019

10:00 PM PST

11:00 PM PST

Kick off your 2019 GMAT prep with a free 7-day boot camp that includes free online lessons, webinars, and a full GMAT course access. Limited for the first 99 registrants! Feb. 21st until the 27th.

# In the equation y = 36.12x, x and y are integers. If yx leaves a remai

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 52971
In the equation y = 36.12x, x and y are integers. If yx leaves a remai  [#permalink]

### Show Tags

29 Apr 2016, 15:03
11
00:00

Difficulty:

55% (hard)

Question Stats:

61% (01:47) correct 39% (01:51) wrong based on 155 sessions

### HideShow timer Statistics

In the equation y = 36.12x, x and y are integers. If y/x leaves a remainder of r, which of the following must divide into r?

A. 2
B. 3
C. 4
D. 6
E. 12

_________________
Math Expert
Joined: 02 Aug 2009
Posts: 7334
In the equation y = 36.12x, x and y are integers. If yx leaves a remai  [#permalink]

### Show Tags

30 Apr 2016, 01:21
1
4
Bunuel wrote:
In the equation y = 36.12x, x and y are integers. If y/x leaves a remainder of r, which of the following must divide into r?

A. 2
B. 3
C. 4
D. 6
E. 12

HI,
y = 36.12x.. it surely MEANS $$y=36.12*x$$
or $$\frac{y}{x}= 36.12 = 36 +0.12$$..

since both x and y are integers, 0.12*x is also an integer and = r...
so 0.12 * x= r..
or $$\frac{12x}{100}$$ = r..
12x = 100r..
3x = 25r...
so x has to be a multiple of 25 .......and r, a multiple of 3..
ans B
_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html
4) Base while finding % increase and % decrease : https://gmatclub.com/forum/percentage-increase-decrease-what-should-be-the-denominator-287528.html

GMAT Expert

##### General Discussion
Manager
Joined: 08 Oct 2015
Posts: 241
Re: In the equation y = 36.12x, x and y are integers. If yx leaves a remai  [#permalink]

### Show Tags

30 Apr 2016, 08:17
chetan2u
How can u assume that y/x =36.12?

This is akin to saying y=36.125
And y/5=36.12

Posted from my mobile device
Math Expert
Joined: 02 Aug 2009
Posts: 7334
Re: In the equation y = 36.12x, x and y are integers. If yx leaves a remai  [#permalink]

### Show Tags

30 Apr 2016, 08:29
1
rahulkashyap wrote:
chetan2u
How can u assume that y/x =36.12?

This is akin to saying y=36.125
And y/5=36.12

Posted from my mobile device

hi,

I have taken it because the sentence reads -
Quote:
In the equation y = 36.12x, x and y are integers..

1) It says it is a equation, so y=36.12x should be 36.12 * x..
2) It says x is an integer, again it means 36.12 * x..
Otherwise x would be just a digit and it would be mentioned..

Although not clearly mentioned that 36.12x is actually 36.12 * x, BUT entire info points towards that..
and that is why I have taken y/x = 36.12
_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html
4) Base while finding % increase and % decrease : https://gmatclub.com/forum/percentage-increase-decrease-what-should-be-the-denominator-287528.html

GMAT Expert

Intern
Joined: 30 Apr 2018
Posts: 19
Re: In the equation y = 36.12x, x and y are integers. If yx leaves a remai  [#permalink]

### Show Tags

06 Sep 2018, 06:17
chetan2u wrote:
Bunuel wrote:
In the equation y = 36.12x, x and y are integers. If y/x leaves a remainder of r, which of the following must divide into r?

A. 2
B. 3
C. 4
D. 6
E. 12

HI,
y = 36.12x.. it surely MEANS $$y=36.12*x$$
or $$\frac{y}{x}= 36.12 = 36 +0.12$$..

since both x and y are integers, 0.12*x is also an integer and = r...
so 0.12 * x= r..
or $$\frac{12x}{100}$$ = r..
12x = 100r..
3x = 25r...
so x has to be a multiple of 25 .......and r, a multiple of 3..
ans B

Hi chetan2u

slightly silly doubt , but arn't all 3, 6, 12 multiples of 3? then why did you just pick 3 as an answer? i actually got stuck with answer options - B, D and E
Math Expert
Joined: 02 Aug 2009
Posts: 7334
Re: In the equation y = 36.12x, x and y are integers. If yx leaves a remai  [#permalink]

### Show Tags

06 Sep 2018, 08:11
1
NidSha wrote:
chetan2u wrote:
Bunuel wrote:
In the equation y = 36.12x, x and y are integers. If y/x leaves a remainder of r, which of the following must divide into r?

A. 2
B. 3
C. 4
D. 6
E. 12

HI,
y = 36.12x.. it surely MEANS $$y=36.12*x$$
or $$\frac{y}{x}= 36.12 = 36 +0.12$$..

since both x and y are integers, 0.12*x is also an integer and = r...
so 0.12 * x= r..
or $$\frac{12x}{100}$$ = r..
12x = 100r..
3x = 25r...
so x has to be a multiple of 25 .......and r, a multiple of 3..
ans B

Hi chetan2u

slightly silly doubt , but arn't all 3, 6, 12 multiples of 3? then why did you just pick 3 as an answer? i actually got stuck with answer options - B, D and E

When we say r is multiple of 3, all other mutiple of 3 are also taken in that, so 6 and 12 are also in that.
But if I say it is multiple of 6, then I would mean, it is not necessarily a multiple of 3..
So r as a multiple of 6 excludes all values like 3,9,15 etc
So if r is 3, the value picked as r to be multiple of 6 doesn't stand.
_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html
4) Base while finding % increase and % decrease : https://gmatclub.com/forum/percentage-increase-decrease-what-should-be-the-denominator-287528.html

GMAT Expert

Re: In the equation y = 36.12x, x and y are integers. If yx leaves a remai   [#permalink] 06 Sep 2018, 08:11
Display posts from previous: Sort by