GET READY FOR THE AMC 12 WITH AoPS
Learn with outstanding instructors and top-scoring students from around the world in our
AMC 12 Problem Series online course.
Difference between revisions of "2003 AMC 12B Problems"
(→Problem 1) |
(→Problem 18) |
||
| Line 75: | Line 75: | ||
== Problem 18 == | == Problem 18 == | ||
| + | Let <math>n</math> be a 5-digit number, and let q and r be the quotient and remainder, respectively, when <math>n</math> is divided by 100. For how many values of <math>n</math> is <math>q + r</math> divisible by 11? | ||
| + | |||
| + | \[ | ||
| + | \text {(A) } 8180 \qquad \text {(B) } 8181 \qquad \text {(C) } 8182 \qquad \text {(D) } 9000 \qquad \text {(E) } 9090 | ||
| + | \] | ||
[[2003 AMC 12B Problems/Problem 18|Solution]] | [[2003 AMC 12B Problems/Problem 18|Solution]] | ||
Revision as of 10:04, 5 February 2008
Contents
- 1 Problem 1
- 2 Problem 2
- 3 Problem 3
- 4 Problem 4
- 5 Problem 5
- 6 Problem 6
- 7 Problem 7
- 8 Problem 8
- 9 Problem 9
- 10 Problem 10
- 11 Problem 11
- 12 Problem 12
- 13 Problem 13
- 14 Problem 14
- 15 Problem 15
- 16 Problem 16
- 17 Problem 17
- 18 Problem 18
- 19 Problem 19
- 20 Problem 20
- 21 Problem 21
- 22 Problem 22
- 23 Problem 23
- 24 Problem 24
- 25 Problem 25
- 26 See also
Problem 1
Which of the following is the same as
![\[\frac{2-4+6-8+10-12+14}{3-6+9-12+15-18+21}\]](http://latex.artofproblemsolving.com/6/d/8/6d8019823e919fab14bd496a543fe92645572845.png)
?
Problem 2
Problem 3
Problem 4
Problem 5
Problem 6
Problem 7
Problem 8
Problem 9
Problem 10
Problem 11
Problem 12
Problem 13
Problem 14
Problem 15
Problem 16
Problem 17
Problem 18
Let 
be a 5-digit number, and let q and r be the quotient and remainder, respectively, when is divided by 100. For how many values of is 
divisible by 11?
\[ \text {(A) } 8180 \qquad \text {(B) } 8181 \qquad \text {(C) } 8182 \qquad \text {(D) } 9000 \qquad \text {(E) } 9090 \]
