Author 
Message 
TAGS:

Hide Tags

Manager
Joined: 17 Aug 2009
Posts: 227

How many integers from 050 have a remainder of 3 when divid [#permalink]
Show Tags
17 Dec 2009, 02:41
5
This post was BOOKMARKED
Question Stats:
66% (01:38) correct
34% (00:41) wrong based on 267 sessions
HideShow timer Statistics
How many integers from 050 have a remainder of 3 when divided by 9? A. 5 B. 6 C. 7 D. 8 E. 9
Official Answer and Stats are available only to registered users. Register/ Login.



Math Expert
Joined: 02 Sep 2009
Posts: 39626

Re: Remainder Problem [#permalink]
Show Tags
17 Dec 2009, 03:13
2
This post received KUDOS
Expert's post
1
This post was BOOKMARKED
zaarathelab wrote: How many integers from 050 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 \(5\). Answer: B (6). 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.
_________________
New to the Math Forum? Please read this: All You Need for Quant  PLEASE READ AND FOLLOW: 12 Rules for Posting!!! Resources: GMAT Math Book  Triangles  Polygons  Coordinate Geometry  Factorials  Circles  Number Theory  Remainders; 8. Overlapping Sets  PDF of Math Book; 10. Remainders  GMAT Prep Software Analysis  SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS)  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? Extrahard Quant Tests with Brilliant Analytics



Manager
Status: Applying Now
Joined: 21 Nov 2009
Posts: 63
WE: Project Management (Manufacturing)

Re: Remainder Problem [#permalink]
Show Tags
17 Dec 2009, 02:55
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
_________________
http://gmatclub.com/forum/inseadcampusvisitdebrief91669.html#p702796
If you like my post, consider giving me a kudos. THANKS!



Intern
Joined: 18 Oct 2011
Posts: 3

Re: Remainder Problem [#permalink]
Show Tags
06 Feb 2013, 04:01
Range of numbers is 500+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: 10232013

Re: How many integers from 050 have a remainder of 3 when divid [#permalink]
Show Tags
09 Aug 2013, 00:12
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: 334

Re: How many integers from 050 have a remainder of 3 when divid [#permalink]
Show Tags
09 Aug 2013, 02:38
zaarathelab wrote: How many integers from 050 have a remainder of 3 when divided by 9?
A. 5 B. 6 C. 7 D. 8 E. 9 .... 918273645  = number of integers have a remainder of 3
_________________
Asif vai.....



GMAT Club Legend
Joined: 09 Sep 2013
Posts: 15935

Re: How many integers from 050 have a remainder of 3 when divid [#permalink]
Show Tags
03 Apr 2015, 04:38
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 Books  GMAT Club Tests  Best Prices on GMAT Courses  GMAT Mobile App  Math Resources  Verbal Resources



GMAT Club Legend
Joined: 09 Sep 2013
Posts: 15935

Re: How many integers from 050 have a remainder of 3 when divid [#permalink]
Show Tags
25 Sep 2016, 21:38
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 Books  GMAT Club Tests  Best Prices on GMAT Courses  GMAT Mobile App  Math Resources  Verbal Resources



Director
Joined: 07 Dec 2014
Posts: 710

How many integers from 050 have a remainder of 3 when divid [#permalink]
Show Tags
26 Sep 2016, 12:57
How many integers from 050 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 050 have a remainder of 3 when divid
[#permalink]
26 Sep 2016, 12:57







