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==Problem 4== | ==Problem 4== | ||
| − | What is the smallest value of <math>k</math> for which <cmath>2^{18k} \equiv 76 \mod 100</cmath> | + | What is the smallest value of <math>k</math> for which <cmath>2^{18k} \equiv 76 \mod 100</cmath> |
<math>\textbf{(A)}\ 2\qquad\textbf{(B)}\ 5\qquad\textbf{(C)}\ 8\qquad\textbf{(D)}\ 10\qquad\textbf{(E)}\ 20</math> | <math>\textbf{(A)}\ 2\qquad\textbf{(B)}\ 5\qquad\textbf{(C)}\ 8\qquad\textbf{(D)}\ 10\qquad\textbf{(E)}\ 20</math> | ||
[[G285 MC10A Problems/Problem 4|Solution]] | [[G285 MC10A Problems/Problem 4|Solution]] | ||
Revision as of 11:18, 11 May 2021
Posting here until I find a place for an upcoming mock I’m creating
Contents
Problem 1
What value of 
minimizes 
?
Problem 2
Suppose Mark wanted to arrange 
books onto a bookshelf, 
of which are math books and 
of which are science. If both science and math books are indistinguishable, in how many ways can Mark arrange the books on the shelf?
Problem 3
Let 
be a unit square. If points 
and 
are chosen on 
and 
respectively such that the area of 
. What is 
?
Problem 4
What is the smallest value of 
for which ![\[2^{18k} \equiv 76 \mod 100\]](http://latex.artofproblemsolving.com/2/6/c/26c04529af8584ed9da4c4f2c6565da57c149212.png)
