Difference between revisions of "2013 UNCO Math Contest II Problems/Problem 6"

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== Solution ==
 
== Solution ==
 
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(a) OCTOBER (b) SATURDAY
  
 
== See Also ==
 
== See Also ==

Latest revision as of 03:29, 13 January 2019

Problem

There is at least one Friday the Thirteenth in every year.

(a) What is the latest possible month in which the first Friday the Thirteenth can occur?

(b) In a year in which the first Friday the Thirteenth occurs in its latest month, what day of the week is January $1$?

The table below shows the number of days in each month. February has $29$ days in leap years and $28$ in others.

$\begin{tabular}{|c|c|c|c|c|c|c|c|c|c|c|c|} \hline JAN & FEB & MAR & APR & MAY & JUN & JUL & AUG & SEP & OCT & NOV & DEC \\ \hline 31 & 28 or 29 & 31 & 30 & 31 & 30 & 31 & 31 & 30 & 31 & 30 & 31 \\ \hline \end{tabular}$


Solution

(a) OCTOBER (b) SATURDAY

See Also

2013 UNCO Math Contest II (ProblemsAnswer KeyResources)
Preceded by
Problem 5
Followed by
Problem 7
1 2 3 4 5 6 7 8 9 10
All UNCO Math Contest Problems and Solutions