x, y, a, and b are positive integers. When x is divided by : GMAT Problem Solving (PS)
Check GMAT Club Decision Tracker for the Latest School Decision Releases http://gmatclub.com/AppTrack

 It is currently 22 Jan 2017, 00:10

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 June
Open Detailed Calendar

x, y, a, and b are positive integers. When x is divided by

Author Message
TAGS:

Hide Tags

Current Student
Joined: 11 May 2008
Posts: 556
Followers: 8

Kudos [?]: 174 [0], given: 0

x, y, a, and b are positive integers. When x is divided by [#permalink]

Show Tags

08 Aug 2008, 03:56
4
This post was
BOOKMARKED
00:00

Difficulty:

15% (low)

Question Stats:

83% (01:59) correct 17% (01:12) wrong based on 47 sessions

HideShow timer Statistics

x, y, a, and b are positive integers. When x is divided by y, the remainder is 6. When a is divided by b, the remainder is 9. Which of the following is NOT a possible value for y + b?

A. 24
B. 21
C. 20
D. 17
E. 15

OPEN DISCUSSION OF THIS QUESTION IS HERE: x-y-a-and-b-are-positive-integers-when-x-is-divided-by-y-126301.html
[Reveal] Spoiler: OA

Last edited by Bunuel on 08 Dec 2013, 06:29, edited 2 times in total.
Renamed the topic, edited the question, added the OA and moved to PS forum.
Director
Joined: 10 Sep 2007
Posts: 947
Followers: 8

Kudos [?]: 287 [2] , given: 0

Show Tags

08 Aug 2008, 04:01
2
KUDOS
Rule denominator is always greater than remainder.
So y>6 and b>9
SVP
Joined: 07 Nov 2007
Posts: 1820
Location: New York
Followers: 34

Kudos [?]: 865 [0], given: 5

Show Tags

08 Aug 2008, 07:18
arjtryarjtry wrote:
x, y, a, and b are positive integers. When x is divided by y, the remainder is 6. When a is divided by b, the remainder is 9. Which of the following is NOT a possible value for y + b?
24
21
20
17
15

y>6 b>9

15 is not possible.
_________________

Smiling wins more friends than frowning

Current Student
Joined: 11 May 2008
Posts: 556
Followers: 8

Kudos [?]: 174 [0], given: 0

Show Tags

08 Aug 2008, 08:39
15 is the right ans...
VP
Joined: 17 Jun 2008
Posts: 1397
Followers: 8

Kudos [?]: 290 [0], given: 0

Show Tags

08 Aug 2008, 10:28
arjtryarjtry wrote:
x, y, a, and b are positive integers. When x is divided by y, the remainder is 6. When a is divided by b, the remainder is 9. Which of the following is NOT a possible value for y + b?
24
21
20
17
15

we talk abou remainders : say here

y(q)+6=x --> y>6
b(q1)+9=a ----> b >9

=> y+b>15
hence y+b=15 is not possible
_________________

cheers
Its Now Or Never

Senior Manager
Joined: 06 Apr 2008
Posts: 449
Followers: 1

Kudos [?]: 142 [0], given: 1

Show Tags

08 Aug 2008, 22:52
arjtryarjtry wrote:
x, y, a, and b are positive integers. When x is divided by y, the remainder is 6. When a is divided by b, the remainder is 9. Which of the following is NOT a possible value for y + b?
24
21
20
17
15

E) ... cant be 15 because sum of their remainders cannot be equal to sum of both numbers
GMAT Club Legend
Joined: 09 Sep 2013
Posts: 13493
Followers: 576

Kudos [?]: 163 [0], given: 0

Re: x, y, a, and b are positive integers. When x is divided by [#permalink]

Show Tags

07 Dec 2013, 23:14
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
Math Expert
Joined: 02 Sep 2009
Posts: 36590
Followers: 7092

Kudos [?]: 93387 [0], given: 10557

Re: x, y, a, and b are positive integers. When x is divided by [#permalink]

Show Tags

08 Dec 2013, 06:30
x, y, a, and b are positive integers. When x is divided by y, the remainder is 6. When a is divided by b, the remainder is 9. Which of the following is NOT a possible value for y + b?

A. 24
B. 21
C. 20
D. 17
E. 15

Important note: remainder is ALWAYS less than divisor, thus y>6 and b>9 --> y+b>15.

OPEN DISCUSSION OF THIS QUESTION IS HERE: x-y-a-and-b-are-positive-integers-when-x-is-divided-by-y-126301.html
_________________
Re: x, y, a, and b are positive integers. When x is divided by   [#permalink] 08 Dec 2013, 06:30
Similar topics Replies Last post
Similar
Topics:
34 When positive integer x is divided by positive integer y, the result i 11 28 Jan 2015, 06:40
29 x, y, a, and b are positive integers. When x is divided by y 12 19 Jan 2012, 16:07
6 When positive integer X is divided by positive integer Y, th 7 11 Aug 2011, 08:18
156 When positive integer x is divided by positive integer y, 32 18 Dec 2010, 07:13
4 When positive integer x is divided by positive integer y, the remainde 4 30 Jun 2007, 08:26
Display posts from previous: Sort by