MathDB
1996 AJHSME Problem 11

Source:

July 10, 2011
AMC

Problem Statement

Let xx be the number 0.0000...00001996 zeros1,0.\underbrace{0000...0000}_{1996\text{ zeros}}1, where there are 1996 zeros after the decimal point. Which of the following expressions represents the largest number?
(A) 3+x(B) 3x(C) 3x(D) 3/x(E) x/3\text{(A)}\ 3+x \qquad \text{(B)}\ 3-x \qquad \text{(C)}\ 3\cdot x \qquad \text{(D)}\ 3/x \qquad \text{(E)}\ x/3