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

 It is currently 22 May 2015, 01:13

### 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:
Manager
Joined: 17 Aug 2009
Posts: 238
Followers: 4

Kudos [?]: 118 [0], given: 25

How many integers from 0-50 have a remainder of 3 when divid [#permalink]  17 Dec 2009, 01:41
3
This post was
BOOKMARKED
00:00

Difficulty:

15% (low)

Question Stats:

66% (01:37) correct 34% (00:38) wrong based on 143 sessions
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: 64
WE: Project Management (Manufacturing)
Followers: 3

Kudos [?]: 80 [0], given: 3

Re: Remainder Problem [#permalink]  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: 27457
Followers: 4303

Kudos [?]: 42074 [1] , given: 5945

Re: Remainder Problem [#permalink]  17 Dec 2009, 02:13
1
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

Re: Remainder Problem [#permalink]  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 [?]: 5 [0], given: 8

Re: How many integers from 0-50 have a remainder of 3 when divid [#permalink]  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: 343
Followers: 3

Kudos [?]: 176 [0], given: 102

Re: How many integers from 0-50 have a remainder of 3 when divid [#permalink]  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: 4918
Followers: 298

Kudos [?]: 54 [0], given: 0

Re: How many integers from 0-50 have a remainder of 3 when divid [#permalink]  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.
_________________
Re: How many integers from 0-50 have a remainder of 3 when divid   [#permalink] 03 Apr 2015, 03:38
Similar topics Replies Last post
Similar
Topics:
How many 3 digit positive integers exist that when divided 0 22 Aug 2013, 10:56
1 How many 3 digit positive integers exist that when divided 9 29 Aug 2011, 23:56
When the integer k is divided by 12, the remainder is 3. 5 19 Jul 2008, 02:44
When the integer n is divided by 6, the remainder is 3, 1 31 Mar 2008, 17:18
When a positive integer n is divided by 3, the remainder is 3 14 Jul 2007, 13:07
Display posts from previous: Sort by