Difference between revisions of "2002 AMC 8 Problems/Problem 4"

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==Problem 4==
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==Problem==
  
 
The year 2002 is a palindrome (a number that reads the same from left to right as it does from right to left). What is the product of the digits of the next year after 2002 that is a palindrome?
 
The year 2002 is a palindrome (a number that reads the same from left to right as it does from right to left). What is the product of the digits of the next year after 2002 that is a palindrome?
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==Solution==
 
==Solution==
  
The palindrome right after 2002 is 2112. The product of the digits of 2112 is <math>\boxed{4}</math>.
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The palindrome right after 2002 is 2112. The product of the digits of 2112 is <math>\boxed{\text{(B)}\ 4}</math>.
  
 
==See Also==
 
==See Also==
 
{{AMC8 box|year=2002|num-b=3|num-a=5}}
 
{{AMC8 box|year=2002|num-b=3|num-a=5}}

Revision as of 16:46, 23 December 2012

Problem

The year 2002 is a palindrome (a number that reads the same from left to right as it does from right to left). What is the product of the digits of the next year after 2002 that is a palindrome?

$\text{(A)}\ 0 \qquad \text{(B)}\ 4 \qquad \text{(C)}\ 9 \qquad \text{(D)}\ 16 \qquad \text{(E)}\ 25$

Solution

The palindrome right after 2002 is 2112. The product of the digits of 2112 is $\boxed{\text{(B)}\ 4}$.

See Also

2002 AMC 8 (ProblemsAnswer KeyResources)
Preceded by
Problem 3
Followed by
Problem 5
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25
All AJHSME/AMC 8 Problems and Solutions