# Difference between revisions of "User:Geometry285"

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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 12:18, 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