2002 AMC 8 Problems/Problem 5: Difference between revisions
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==Problem== | |||
Carlos Montado was born on Saturday, November 9, 2002. On what day of the week will Carlos be 706 days old? | Carlos Montado was born on Saturday, November 9, 2002. On what day of the week will Carlos be 706 days old? | ||
<math> \text{(A)}\ \text{Monday}\qquad\text{(B)}\ \text{Wednesday}\qquad\text{(C)}\ \text{Friday}\qquad\text{(D)}\ \text{Saturday}\qquad\text{(E)}\ \text{Sunday} </math> | <math> \text{(A)}\ \text{Monday}\qquad\text{(B)}\ \text{Wednesday}\qquad\text{(C)}\ \text{Friday}\qquad\text{(D)}\ \text{Saturday}\qquad\text{(E)}\ \text{Sunday} </math> | ||
==Solution== | |||
Days of the week have a cycle that repeats every <math>7</math> days. Thus, after <math>100</math> cycles, or <math>700</math> days, it will be Saturday again. Six more days will make it <math>\text{Friday} \rightarrow \boxed{C}</math> | |||
==See Also== | |||
{{AMC8 box|year=2002|num-b=4|num-a=6}} | |||
Revision as of 00:05, 31 July 2011
Problem
Carlos Montado was born on Saturday, November 9, 2002. On what day of the week will Carlos be 706 days old?
Solution
Days of the week have a cycle that repeats every 
days. Thus, after 
cycles, or 
days, it will be Saturday again. Six more days will make it 
See Also
| 2002 AMC 8 (Problems • Answer Key • Resources) | ||
| Preceded by Problem 4 |
Followed by Problem 6 | |
| 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 | ||
