User:Geometry285

Revision as of 11:11, 11 May 2021 by Geometry285 (talk | contribs) (Created page with "Posting here until I find a place for an upcoming mock I’m creating {{G285 Mock Problems|year=2021|type=A}} ==Problem 1== What value of <math>x</math> minimizes <math>|2^x...")
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Posting here until I find a place for an upcoming mock I’m creating

Template:G285 Mock Problems

Problem 1

What value of $x$ minimizes $|2^x - 1|$?

$\textbf{(A)}\ -1\qquad\textbf{(B)}\ 0\qquad\textbf{(C)}\ 1\qquad\textbf{(D)}\ 2\qquad\textbf{(E)}\ \infty$

Solution

Problem 2

Suppose Mark wanted to arrange $5$ books onto a bookshelf, $3$ of which are math books and $2$ of which are science. If both science and math books are indistinguishable, in how many ways can Mark arrange the books on the shelf?

$\textbf{(A)}\ 6\qquad\textbf{(B)}\ 8\qquad\textbf{(C)}\ 10\qquad\textbf{(D)}\ 12\qquad\textbf{(E)}\ 15$

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