Check GMAT Club Decision Tracker for the Latest School Decision Releases https://gmatclub.com/AppTrack

 It is currently 28 May 2017, 14:47

### 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

# What is the remainder when the positive integer x is divided

Author Message
TAGS:

### Hide Tags

Intern
Joined: 13 Apr 2010
Posts: 10
Followers: 0

Kudos [?]: 0 [0], given: 10

What is the remainder when the positive integer x is divided [#permalink]

### Show Tags

14 Apr 2010, 07:04
00:00

Difficulty:

(N/A)

Question Stats:

100% (00:00) correct 0% (00:00) wrong based on 13 sessions

### HideShow timer Statistics

What is the remainder when the positive integer x is divided by 3

(1) when x is divided by 6, the remainder is 2
(2) when x is divided by 15, the remainder is 2.

If m,r,x and y are positive, the ratio of m to r equal to the ratio x to y?

(1) the ratio of m to y is equal to the ratio of x to r
(2) the ratio of m + x to r + y is equal to the ratio of x to y
BSchool Forum Moderator
Joined: 02 Oct 2009
Posts: 593
GMAT 1: 530 Q47 V17
GMAT 2: 710 Q50 V36
Followers: 38

Kudos [?]: 354 [1] , given: 412

Re: need explanation for DS question thank you thank you! [#permalink]

### Show Tags

14 Apr 2010, 08:02
1
KUDOS
Quote:
What is the remainder when the positive integer x is divided by 3

(1) when x is divided by 6, the remainder is 2
(2) when x is divided by 15, the remainder is 2.

Dont know whether this is a very long method to solve.

1) when x is divided by 6, the remainder is 2

so the number will be form of 6*Y+2(k=0,1,2,3,....)

(2) when x is divided by 15, the remainder is 2
so the number will be form of 15*Z+2(k=0,1,2,3,....)

Both 1,2

Last edited by RaviChandra on 14 Apr 2010, 08:54, edited 1 time in total.
Math Expert
Joined: 02 Sep 2009
Posts: 39037
Followers: 7750

Kudos [?]: 106471 [1] , given: 11626

Re: need explanation for DS question thank you thank you! [#permalink]

### Show Tags

14 Apr 2010, 08:29
1
KUDOS
Expert's post
What is the remainder when the positive integer x is divided by 3

(1) when x is divided by 6, the remainder is 2 --> $$x=6p+2$$ --> dividing this by 3 --> 6p is divisible by 3 and 2 divided by 3 leaves remainder of 2. Sufficient.
(2) when x is divided by 15, the remainder is 2 --> $$x=15q+2$$ --> dividing this by 3 --> 15q is divisible by 3 and 2 divided by 3 leaves remainder of 2. Sufficient.

If m,r,x and y are positive, the ratio of m to r equal to the ratio x to y?

Is $$\frac{m}{r}=\frac{x}{y}$$? Is $$my=rx$$?

(1) the ratio of m to y is equal to the ratio of x to r --> $$\frac{m}{y}=\frac{x}{r}$$ --> $$mr=xy$$. Not sufficient.

(2) the ratio of m + x to r + y is equal to the ratio of x to y --> $$\frac{m+x}{r+y}=\frac{x}{y}$$ --> cross multiply --> $$my+xy=rx+xy$$ --> $$my=rx$$. Sufficient.

_________________
Re: need explanation for DS question thank you thank you!   [#permalink] 14 Apr 2010, 08:29
Similar topics Replies Last post
Similar
Topics:
10 What is the remainder when positive integer x is divided by 8 20 Mar 2016, 14:11
25 What is the remainder when the positive integer x is divided 10 25 Oct 2016, 09:09
1 What is the remainder when the positive integer x is divided 4 22 Jun 2016, 02:41
4 What is the remainder when the positive integer x is divided 10 09 Jun 2015, 08:08
15 What is the remainder when the positive integer x is divided 10 08 Mar 2017, 12:57
Display posts from previous: Sort by