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

It is currently 01 Sep 2015, 06:32
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 the integer x is divided by the integer y

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
3 KUDOS received
Director
Director
avatar
Status: Finally Done. Admitted in Kellogg for 2015 intake
Joined: 25 Jun 2011
Posts: 552
Location: United Kingdom
Concentration: International Business, Strategy
GMAT 1: 730 Q49 V40
GPA: 2.9
WE: Information Technology (Consulting)
Followers: 37

Kudos [?]: 1368 [3] , given: 217

When the integer x is divided by the integer y [#permalink] New post 19 Jan 2012, 16:16
3
This post received
KUDOS
10
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  95% (hard)

Question Stats:

44% (02:33) correct 56% (01:18) wrong based on 295 sessions
When the integer x is divided by the integer y, the remainder is 60. Which of the following is a possible value of the quotient x/y?

I. 15.15
II.18.16
III. 17.17

(A) I only
(B) II only
(C) III only
(D) I and II only
(E) I and III only


I don't have a clue how this will be solved. Can someone please help? Unfortunately, I don't have an OA either.
[Reveal] Spoiler: OA

_________________

Best Regards,
E.

MGMAT 1 --> 530
MGMAT 2--> 640
MGMAT 3 ---> 610
GMAT ==> 730

Expert Post
14 KUDOS received
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 29172
Followers: 4735

Kudos [?]: 50006 [14] , given: 7518

Re: Value of Quotient x/y [#permalink] New post 19 Jan 2012, 18:12
14
This post received
KUDOS
Expert's post
5
This post was
BOOKMARKED
enigma123 wrote:
When the integer x is divided by the integer y, the remainder is 60. Which of the following is a possible value of the quotient x/y?
I. 15.15
II.18.16
III. 17.17

(A) I only
(B) II only
(C) III only
(D) I and II only
(E) I and III only

I don't have a clue how this will be solved. Can someone please help? Unfortunately, I don't have an OA either.


"x is divided by the integer y, the remainder is 60" --> \(x=qy+60\) --> or \(\frac{x}{y}=q+\frac{60}{y}\), so basically \(\frac{60}{y}\) is a decimal portion of \(\frac{x}{y}\).

For example: \(\frac{x}{y}=15.15\) means that \(\frac{x}{y}=15+0.15=15+\frac{60}{y}\)

Let's look at the options:

I. If \(\frac{x}{y}=15.15\) then \(\frac{60}{y}=0.15\) and \(y=400=integer\), which is possible;

II. If \(\frac{x}{y}=18.16\) then \(\frac{60}{y}=0.16\) and \(y=375=integer\), which is possible;

III. If \(\frac{x}{y}=17.17\) then \(\frac{60}{y}=0.17\) and \(y=\frac{6000}{17}\neq{integer}\), which is not possible as \(y\) must be an integer.

Answer: D.
_________________

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis ; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) ; 12. 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?
25 extra-hard Quant Tests

GMAT Club Premium Membership - big benefits and savings

Intern
Intern
avatar
Joined: 15 Mar 2013
Posts: 6
Followers: 0

Kudos [?]: 0 [0], given: 4

GMAT ToolKit User
Re: When the integer x is divided by the integer y [#permalink] New post 26 Jul 2013, 00:15
enigma123 wrote:
When the integer x is divided by the integer y, the remainder is 60. Which of the following is a possible value of the quotient x/y?

I. 15.15
II.18.16
III. 17.17

(A) I only
(B) II only
(C) III only
(D) I and II only
(E) I and III only


I don't have a clue how this will be solved. Can someone please help? Unfortunately, I don't have an OA either.


Is the second option 18.18 ?
Expert Post
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 29172
Followers: 4735

Kudos [?]: 50006 [0], given: 7518

Re: When the integer x is divided by the integer y [#permalink] New post 26 Jul 2013, 00:19
Expert's post
ParmarKarishma wrote:
enigma123 wrote:
When the integer x is divided by the integer y, the remainder is 60. Which of the following is a possible value of the quotient x/y?

I. 15.15
II.18.16
III. 17.17

(A) I only
(B) II only
(C) III only
(D) I and II only
(E) I and III only


I don't have a clue how this will be solved. Can someone please help? Unfortunately, I don't have an OA either.


Is the second option 18.18 ?


No, it's 18.16. There was a typo in solution.
_________________

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis ; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) ; 12. 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?
25 extra-hard Quant Tests

GMAT Club Premium Membership - big benefits and savings

Manager
Manager
avatar
Joined: 12 Feb 2012
Posts: 108
Followers: 1

Kudos [?]: 21 [0], given: 28

Re: When the integer x is divided by the integer y [#permalink] New post 01 Aug 2013, 07:24
Bunuel,

I am confused by the terminology of the question. When x is divided by y the remainder 60. is x=yk+60. "y" is the quotient and the question is asking for possible quotients, ie, possible y values.

But in your solution you have x/y=quotient. Very confused.
Expert Post
1 KUDOS received
MBA Section Director
User avatar
Affiliations: GMAT Club
Joined: 21 Feb 2012
Posts: 1932
Location: India
City: Pune
GPA: 3.4
WE: Business Development (Manufacturing)
Followers: 240

Kudos [?]: 1656 [1] , given: 1304

GMAT ToolKit User Premium Member
Re: When the integer x is divided by the integer y [#permalink] New post 01 Aug 2013, 09:22
1
This post received
KUDOS
Expert's post
alphabeta1234 wrote:
Bunuel,

I am confused by the terminology of the question. When x is divided by y the remainder 60. is x=yk+60. "y" is the quotient and the question is asking for possible quotients, ie, possible y values.

But in your solution you have x/y=quotient. Very confused.


In x=yk+60, y = divisor and k = quotient.

On dividing both sides of the equation by Y --------> \(\frac{x}{y} = \frac{(yk)}{y} + \frac{60}{y}\) --------> \(\frac{x}{y} = k + \frac{60}{y}\)

So k = quotient and \(\frac{60}{y}\)is Remainder. -------- Quotient can not be fraction.

So while considering 15.15 we should recognize that 15 must be quotient and 0.15 must be remainder, but the remainder is \(\frac{60}{y}\)---------> Hence \(0.15 = \frac{60}{y}\) -------> \(Y = \frac{60}{0.15}\) -------> Y = 400

Note that we are told that Y is integer so basically we are just looking for whether given expression could give the integer value of Y

Consider second option 18.16 ------> Y = 60/0.16 -------> 6000/16 ------> some integer

In 17.17 ---------> 60/0.17 -------> 6000/17 ------> Not an Integer

Hope that helps
_________________

Live Q&A with B-School Adcoms - 2015 Season

Be the coolest guy in the MBA Forum - Be a threadmaster!

Have a blog? Feature it on GMAT Club!

All MBA Resources All 'Sticky' Topics at one place

Please share your profiles for this application season: 2015 Profiles w/ Admit/Dings Results!

GMAT Club Premium Membership - big benefits and savings

Next Generation GMATClub CATS with Brilliant Analytics.

Intern
Intern
avatar
Joined: 14 Aug 2011
Posts: 7
Followers: 0

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

Re: When the integer x is divided by the integer y [#permalink] New post 02 Aug 2013, 10:46
Hello!

Would it be possible to solve the task as follows:

I. We know that the reminder is 15. As 60 is divisible by 15 we can assume that 15.15 could be one solution.
II. We know that the reminder is 16 which is 2*8. As 60 can be divided by 2 we can assume that 18.16 could be one solution.
III. We know that the reminder is 17. As 60 is not divisible by 17 or vice versa, we can assume that 17.17 cannot be one of the solutions.

Also, please explain if my approach has a flaw.

Thank you in advance!
Expert Post
MBA Section Director
User avatar
Affiliations: GMAT Club
Joined: 21 Feb 2012
Posts: 1932
Location: India
City: Pune
GPA: 3.4
WE: Business Development (Manufacturing)
Followers: 240

Kudos [?]: 1656 [0], given: 1304

GMAT ToolKit User Premium Member
Re: When the integer x is divided by the integer y [#permalink] New post 02 Aug 2013, 11:24
Expert's post
rhallik wrote:
Hello!

Would it be possible to solve the task as follows:

I. We know that the reminder is 15. As 60 is divisible by 15 we can assume that 15.15 could be one solution.
II. We know that the reminder is 16 which is 2*8. As 60 can be divided by 2 we can assume that 18.16 could be one solution.
III. We know that the reminder is 17. As 60 is not divisible by 17 or vice versa, we can assume that 17.17 cannot be one of the solutions.

Also, please explain if my approach has a flaw.

Thank you in advance!


I think, it will not work every time. I will show you how.

Let's change the third option. Lets assume Remainder is 21 and quotient is 5.10

We know that the remainder is 0.10 As 21 is not divisible by 10 or vice versa, we can assume that 5.10 cannot be one of the solutions. Can this be true??
21/0.10 ------> 2100 / 10 ---------> well divisible by 10.

in the division 21/0.10 when you move the decimal sign of denominator to the right by two places, you add two zeros in the numerator to create the fraction 2100/10
When you are awarding two zeros to the numerator (i.e. to 21) remember you are actually giving 2 twos and 2 fives to the numerator. Why is so. That is because One zero can be obtained by multiplying 5 with 2
Now since the denominator (i.e. 10) contains 1 five and 1 two and since you just have given 2 fives and 2 twos, you can surely divide numerator by the denominator.
_________________

Live Q&A with B-School Adcoms - 2015 Season

Be the coolest guy in the MBA Forum - Be a threadmaster!

Have a blog? Feature it on GMAT Club!

All MBA Resources All 'Sticky' Topics at one place

Please share your profiles for this application season: 2015 Profiles w/ Admit/Dings Results!

GMAT Club Premium Membership - big benefits and savings

Next Generation GMATClub CATS with Brilliant Analytics.

Intern
Intern
avatar
Joined: 14 Aug 2011
Posts: 7
Followers: 0

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

Re: When the integer x is divided by the integer y [#permalink] New post 02 Aug 2013, 23:20
Thank you very much for you explanation!
Manager
Manager
avatar
Joined: 25 Oct 2013
Posts: 173
Followers: 0

Kudos [?]: 33 [0], given: 56

Re: When the integer x is divided by the integer y [#permalink] New post 05 Feb 2014, 06:41
The question is simply asking IF the decimal part of the values given in I, II & III yield 60 when multiplied by y, while keeping y as integer.

Let me show how,

I. 15.15 ===> .15*y=60 is y integer? yes, y= 6000/15 = 400 hence 15.15 can be quotient.
II 18.16 ===> .16*y=60 is y integer? yes, y= 6000/16 = 375 hence 18.16 can be quotient.
III 17.17 ===> .17*y=60 is y integer? NO, y=6000/17 hence 17.17 can not be quotient.

I and II Only.
_________________

Click on Kudos if you liked the post!

Practice makes Perfect.

Senior Manager
Senior Manager
User avatar
Joined: 17 Sep 2013
Posts: 370
Location: United States
Concentration: Marketing, Strategy
GMAT 1: 690 Q48 V37
GMAT 2: 730 Q51 V38
GPA: 3.24
WE: Analyst (Consulting)
Followers: 11

Kudos [?]: 148 [0], given: 135

GMAT ToolKit User Premium Member
Re: When the integer x is divided by the integer y [#permalink] New post 30 Apr 2014, 09:37
When the integer x is divided by the integer y, the remainder is 60. Which of the following is a possible value of the quotient x/y?

I was totally confused...Although the source is MGMAT.. I don't agree with the terminology..
The question demands that we find the value of the quotient of X/Y...i.e the value of Green colored portion in X/Y= Q + 60/Y
But the question implies us to find out the value of X/Y i.e Q+60/Y
Consider the case: 7=1.2*5 + 1...Although this is unreasonable..but this is what I took from the Question :?
_________________

Appreciate the efforts...KUDOS for all
Don't let an extra chromosome get you down..:P

Senior Manager
Senior Manager
User avatar
Joined: 23 Jan 2013
Posts: 376
Schools: Cambridge'16
Followers: 2

Kudos [?]: 33 [0], given: 33

CAT Tests
Re: When the integer x is divided by the integer y [#permalink] New post 01 May 2014, 00:31
[quote="enigma123"]When the integer x is divided by the integer y, the remainder is 60. Which of the following is a possible value of the quotient x/y?

I. 15.15
II.18.16
III. 17.17

(A) I only
(B) II only
(C) III only
(D) I and II only
(E) I and III only


I don't have a clue how this will be solved. Can someone please help? Unfortunately, I don't have an OA either.[/quo


It is better to evaluate possible quotients as integer + fraction manner (decimal part), exploiting idea that decimals come after dividing remainder to divisor, so:

I. 15.15. is 15+15/100 where 15 is factor of 60, so it can be quotient

II. 18.16 is 18+16/100 or 4/25 where 4 is a factor of 60, so it can be quotient

III. 17.17 is 17+17/100 where 17 is not a factor of 60, so it cannot be quotient

Answer is D
Intern
Intern
avatar
Joined: 26 Oct 2013
Posts: 24
Followers: 0

Kudos [?]: 12 [0], given: 4

Re: When the integer x is divided by the integer y [#permalink] New post 28 May 2014, 09:34
Many seemingly difficult remainder problems can be simplified using the following concept:
If you take the decimal portion of the resulting number when you divide ''x' by "y", and multiply it to "y", you will get the remainder.

Let's look at the options:

I. 15.15 ===> .15*y=60 is y integer? yes, y= 6000/15 = 400 hence 15.15 can be quotient.
II 18.16 ===> .16*y=60 is y integer? yes, y= 6000/16 = 375 hence 18.16 can be quotient.
III 17.17 ===> .17*y=60 is y integer? NO, y=6000/17 hence 17.17 can not be quotient.

Answer: D
Verbal Forum Moderator
Verbal Forum Moderator
User avatar
Status: After a long voyage, land is visible.
Joined: 22 Mar 2013
Posts: 991
Location: India
GPA: 3.51
WE: Information Technology (Computer Software)
Followers: 115

Kudos [?]: 813 [0], given: 222

Premium Member
Re: When the integer x is divided by the integer y [#permalink] New post 01 Sep 2014, 12:23
Problem statement was difficult to parse. but some how I managed to understand what we can do.

1) x/y = 15 + 0.15
2) x/y = 18 + 0.16
3) x/y = 17 + 0.17

w.k.t x = yn (i.e Q) + yk=60 (i.e remainder)
therefore :
1) y*0.15=60 -- we can get y an integer.
2) y*0.16=60 -- we can get y an integer.
3) y*0.17=60 -- we can't get y an integer.

Therefore 1 and 2 are possible answers.
Ans D.
_________________

Piyush K
-----------------------
Our greatest weakness lies in giving up. The most certain way to succeed is to try just one more time. ― Thomas A. Edison
Don't forget to press--> Kudos :)
My Articles: 1. WOULD: when to use? | 2. All GMATPrep RCs (New)
Tip: Before exam a week earlier don't forget to exhaust all gmatprep problems specially for "sentence correction".

Re: When the integer x is divided by the integer y   [#permalink] 01 Sep 2014, 12:23
    Similar topics Author Replies Last post
Similar
Topics:
12 Experts publish their posts in the topic For integers x and y, when x is divided by y, the remainder emmak 3 28 Feb 2013, 04:27
9 Experts publish their posts in the topic x, y, a, and b are positive integers. When x is divided by y enigma123 11 19 Jan 2012, 16:07
79 Experts publish their posts in the topic When positive integer x is divided by positive integer y, ajit257 24 18 Dec 2010, 07:13
3 Experts publish their posts in the topic When positive integer x is divided by positive integer y, the remainde humtum0 4 30 Jun 2007, 08:26
18 Experts publish their posts in the topic When positive integer x is divided by positive integer y, lan583 8 22 Sep 2006, 16:09
Display posts from previous: Sort by

When the integer x is divided by the integer y

  Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| Privacy Policy| 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®.