AMC8 1987 Problem 21

Suppose n * means \dfrac{1}{n}, the reciprocal of n. For example, 5 *=\dfrac{1}{5}. How many of the following statements are true?

(i) \quad 3 * + 6 * = 9 * \\ (ii) \quad 6 * - 4 * = 2 * \\ (iii) \quad 2 * - 6 * = 12 * \\ (iv) \quad 10 * \div 2 * = 5 *

Answer Choices
A. 0
B. 1
C. 2
D. 3
E. 4