Difference between revisions of "2003 AMC 12B Problems/Problem 12"
(Created page with "What is the largest integer that is a divisor of <math>(n+1)(n+3)(n+5)(n+7)(n+9)</math> for all positive even integers <math>n</math>? <math> \text {(A) } 3 \qquad \text {(B) } ...") |
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\text {(A) } 3 \qquad \text {(B) } 5 \qquad \text {(C) } 11 \qquad \text {(D) } 15 \qquad \text {(E) } 165 | \text {(A) } 3 \qquad \text {(B) } 5 \qquad \text {(C) } 11 \qquad \text {(D) } 15 \qquad \text {(E) } 165 | ||
</math> | </math> | ||
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| + | == Solution == | ||
| + | Since for all consecutive odd integers, one of every five is a multiple of 5 and one of every three is a multiple of 3, the answer is <math>3 * 5 = 15</math>, so <math>\framebox{D}</math>. | ||
Revision as of 13:21, 1 July 2013
What is the largest integer that is a divisor of 
for all positive even integers 
?
Solution
Since for all consecutive odd integers, one of every five is a multiple of 5 and one of every three is a multiple of 3, the answer is 
, so 
.
