2014 CEMC Gauss (Grade 8) Problems/Problem 11

Problem

John was born on a Wednesday. Alison was born 72 days later. On what day of the week was Alison born?

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

Solution

A week has $7$ days, so the days of the week repeat every $7$ days. $7$ goes into $72$ ten times, but with a remainder of $2$ . Thus, we need to know what day of the week is $2$ days after Wednesday.

The day of the week that is $2$ days after Wednesday is $\boxed {\textbf {(E) } Friday}$ .

~anabel.disher

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2014 CEMC Gauss (Grade 8) Problems/Problem 11

Problem

Solution