MathDB

6

Part of 2017 AMC 10

Problems(2)

Carroll's Tests

Source: Problem #6 2017 AMC 10A

2/8/2017
Ms. Carroll promised that anyone who got all the multiple choice questions right on the upcoming exam would receive an A on the exam. Which of these statements necessarily follows logically?
<spanclass=′latex−bold′>(A)</span><span class='latex-bold'>(A)</span> If Lewis did not receive an A, then he got all of the multiple choice questions wrong. \\ <spanclass=′latex−bold′>(B)</span><span class='latex-bold'>(B)</span> If Lewis did not receive an A, then he got at least one of the multiple choice questions wrong. \\ <spanclass=′latex−bold′>(C)</span><span class='latex-bold'>(C)</span> If Lewis got at least one of the multiple choice questions wrong, then he did not receive an A. \\ <spanclass=′latex−bold′>(D)</span><span class='latex-bold'>(D)</span> If Lewis received an A, then he got all of the multiple choice questions right. \\ <spanclass=′latex−bold′>(E)</span><span class='latex-bold'>(E)</span> If Lewis received an A, then he got at least one of the multiple choice questions right.
AMCAMC 10AMC 122017 AMC 12A2017 AMC 10A
block-not-block

Source: 2017 AMC10B #6

2/16/2017
What is the largest number of solid 2-in×2-in×1-in2\text{-in}\times 2\text{-in}\times 1\text{-in} blocks that can fit in a 3-in×2-in×3-in3\text{-in}\times 2\text{-in}\times 3\text{-in} box?
<spanclass=′latex−bold′>(A)</span>3<spanclass=′latex−bold′>(B)</span>4<spanclass=′latex−bold′>(C)</span>5<spanclass=′latex−bold′>(D)</span>6<spanclass=′latex−bold′>(E)</span>7<span class='latex-bold'>(A) </span> 3\qquad <span class='latex-bold'>(B) </span> 4\qquad <span class='latex-bold'>(C) </span> 5\qquad <span class='latex-bold'>(D) </span> 6\qquad <span class='latex-bold'>(E) </span> 7
AMCAMC 10AMC 10 B2017 AMC 10B