How many integers from 0-50 have a remainder of 3 when divid : GMAT Problem Solving (PS)
Check GMAT Club Decision Tracker for the Latest School Decision Releases http://gmatclub.com/AppTrack

 It is currently 16 Jan 2017, 21:39

### 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

# How many integers from 0-50 have a remainder of 3 when divid

Author Message
TAGS:

### Hide Tags

Manager
Joined: 17 Aug 2009
Posts: 235
Followers: 5

Kudos [?]: 233 [0], given: 25

How many integers from 0-50 have a remainder of 3 when divid [#permalink]

### Show Tags

17 Dec 2009, 01:41
5
This post was
BOOKMARKED
00:00

Difficulty:

25% (medium)

Question Stats:

64% (01:38) correct 36% (00:42) wrong based on 248 sessions

### HideShow timer Statistics

How many integers from 0-50 have a remainder of 3 when divided by 9?

A. 5
B. 6
C. 7
D. 8
E. 9
[Reveal] Spoiler: OA
Manager
Status: Applying Now
Joined: 21 Nov 2009
Posts: 63
WE: Project Management (Manufacturing)
Followers: 3

Kudos [?]: 153 [0], given: 3

### Show Tags

17 Dec 2009, 01:55
All numbers should be of the form 9c+3 where c is a constant.

Min is 3 for c=0
Max in 48 for c=5

The answer should be B = 6
_________________

If you like my post, consider giving me a kudos. THANKS!

Math Expert
Joined: 02 Sep 2009
Posts: 36520
Followers: 7067

Kudos [?]: 92938 [2] , given: 10528

### Show Tags

17 Dec 2009, 02:13
2
KUDOS
Expert's post
1
This post was
BOOKMARKED
zaarathelab wrote:
How many integers from 0-50 have a remainder of 3 when divided by 9?

A. 5
B 6
C 7
D 8
E 9

A remainder of 3 when divided by 9 --> $$n=9q+3$$, where q is an integer $$\geq{0}$$.

$$9q+3<50$$ --> $$q<5\frac{2}{9}$$, hence q can take 6 values from 0 to $$5$$.

Or, one can just manually list the numbers of the form $$n=9q+3$$, which are less than 50: 3, 12, 21, 30, 39, and 48. Total of 6 numbers.
_________________
Intern
Joined: 18 Oct 2011
Posts: 3
Followers: 0

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

### Show Tags

06 Feb 2013, 03:01
Range of numbers is 50-0+1= 51.
Possible remainders= 0,1,2,3,4,5,6,7,8
51/9 gives a quotient 5 and a remainder 6. This means that after completing 5 rounds from 0 to 8 ,it found numbers with remainders from 0 to 5 and this has 1 extra count for remainder 3.Hence it is 5+1=6
Intern
Joined: 17 May 2013
Posts: 49
GMAT Date: 10-23-2013
Followers: 0

Kudos [?]: 9 [0], given: 8

Re: How many integers from 0-50 have a remainder of 3 when divid [#permalink]

### Show Tags

08 Aug 2013, 23:12
The first number when divided by 9 leaves a remainder of 3 is 3.
The last number below 50 when divided by 9 leaves a remainder of 3 is 48
so
(48 - 3)/9 + 1 = 6

Ans : B
Senior Manager
Joined: 10 Jul 2013
Posts: 335
Followers: 3

Kudos [?]: 311 [0], given: 102

Re: How many integers from 0-50 have a remainder of 3 when divid [#permalink]

### Show Tags

09 Aug 2013, 01:38
zaarathelab wrote:
How many integers from 0-50 have a remainder of 3 when divided by 9?

A. 5
B. 6
C. 7
D. 8
E. 9

....
-9-18-27-36-45-
- = number of integers have a remainder of 3
_________________

Asif vai.....

GMAT Club Legend
Joined: 09 Sep 2013
Posts: 13420
Followers: 575

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

Re: How many integers from 0-50 have a remainder of 3 when divid [#permalink]

### Show Tags

03 Apr 2015, 03:38
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.
_________________
GMAT Club Legend
Joined: 09 Sep 2013
Posts: 13420
Followers: 575

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

Re: How many integers from 0-50 have a remainder of 3 when divid [#permalink]

### Show Tags

25 Sep 2016, 20:38
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.
_________________
Senior Manager
Joined: 07 Dec 2014
Posts: 490
Followers: 3

Kudos [?]: 80 [0], given: 2

How many integers from 0-50 have a remainder of 3 when divid [#permalink]

### Show Tags

26 Sep 2016, 11:57
How many integers from 0-50 have a remainder of 3 when divided by 9?

A. 5
B. 6
C. 7
D. 8
E. 9

3+9x<51
9x<48
x<5 1/3
5+1(for 3/9 remainder)=6
B.
How many integers from 0-50 have a remainder of 3 when divid   [#permalink] 26 Sep 2016, 11:57
Similar topics Replies Last post
Similar
Topics:
When integer x is divided by 5 the remainder is 3 and when x is divide 3 05 Dec 2016, 01:23
5 How many two-digit whole numbers yield a remainder of 3 when divided 7 04 Dec 2014, 06:40
8 How many 3 digit positive integers exist that when divided 15 29 Aug 2011, 23:56
46 How many integers from 0 to 50, inclusive, have a remainder 30 24 Mar 2009, 22:51
4 When the integer k is divided by 12, the remainder is 3. 3 06 Jul 2008, 20:25
Display posts from previous: Sort by