Problem:
Suppose nโ means n1โ, the reciprocal of n. For example, 5โ=51โ. How many of the following statements are true?
(i)3โ+6โ=9โ(ii)6โโ4โ=2โ(iii)2โโ6โ=12โ(iv)10โรท2โ=5โ
Answer Choices:
A. 0
B. 1
C. 2
D. 3
E. 4
Solution:
Statements i and ii are false; iii and iv are true.
i.iii.โ3โ+6โ=31โ+61โ๎ =91โ2โโ
6โ=21โโ
61โ=121โ=12โโ
Answer: Cโ.
The problems on this page are the property of the MAA's American Mathematics Competitions