Difference between revisions of "2008 AMC 8 Problems/Problem 3"

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==Problem 3==
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==Problem==
 
If February is a month that contains Friday the <math>13^{\text{th}}</math>, what day of the week is February 1?
 
If February is a month that contains Friday the <math>13^{\text{th}}</math>, what day of the week is February 1?
  

Revision as of 12:04, 9 December 2012

Problem

If February is a month that contains Friday the $13^{\text{th}}$, what day of the week is February 1?

$\textbf{(A)}\ \text{Sunday} \qquad \textbf{(B)}\ \text{Monday} \qquad \textbf{(C)}\ \text{Wednesday} \qquad \textbf{(D)}\ \text{Thursday}\qquad \textbf{(E)}\ \text{Saturday}$

Solution

We can go backwards by days, but we can also backwards by weeks. If we go backwards by weeks, we see that February 6 is a Friday. If now go backwards by days, February 1 is a $\boxed{\textbf{(A)}\ \text{Sunday}}$

See Also

2008 AMC 8 (ProblemsAnswer KeyResources)
Preceded by
Problem 2
Followed by
Problem 4
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