MathDB

4

Part of 2002 AMC 10

Problems(3)

Product-Sum Inequality

Source:

2/11/2008
For how many positive integers m m does there exist at least one positive integer n n such that m\cdot n \le m \plus{} n? <spanclass=′latex−bold′>(A)</span> 4<spanclass=′latex−bold′>(B)</span> 6<spanclass=′latex−bold′>(C)</span> 9<spanclass=′latex−bold′>(D)</span> 12<spanclass=′latex−bold′>(E)</span> <span class='latex-bold'>(A)</span>\ 4 \qquad <span class='latex-bold'>(B)</span>\ 6 \qquad <span class='latex-bold'>(C)</span>\ 9 \qquad <span class='latex-bold'>(D)</span>\ 12 \qquad <span class='latex-bold'>(E)</span> infinitely many
inequalities
Evaluating

Source:

2/26/2008
What is the value of (3x \minus{} 2)(4x \plus{} 1) \minus{} (3x \minus{} 2)4x \plus{} 1when x \equal{} 4? <spanclass=′latex−bold′>(A)</span> 0<spanclass=′latex−bold′>(B)</span> 1<spanclass=′latex−bold′>(C)</span> 10<spanclass=′latex−bold′>(D)</span> 11<spanclass=′latex−bold′>(E)</span> 12 <span class='latex-bold'>(A)</span>\ 0 \qquad <span class='latex-bold'>(B)</span>\ 1 \qquad <span class='latex-bold'>(C)</span>\ 10 \qquad <span class='latex-bold'>(D)</span>\ 11 \qquad <span class='latex-bold'>(E)</span>\ 12
Perfect Square

Source:

4/2/2013
Which of the following numbers is a perfect square?
<spanclass=′latex−bold′>(A)</span>445566<spanclass=′latex−bold′>(B)</span>445665<spanclass=′latex−bold′>(C)</span>455466<spanclass=′latex−bold′>(D)</span>465465<spanclass=′latex−bold′>(E)</span>465564<span class='latex-bold'>(A) </span>4^45^56^6\qquad<span class='latex-bold'>(B) </span>4^45^66^5\qquad<span class='latex-bold'>(C) </span>4^55^46^6\qquad<span class='latex-bold'>(D) </span>4^65^46^5\qquad<span class='latex-bold'>(E) </span>4^65^56^4