Difference between revisions of "1987 AJHSME Problems/Problem 21"
5849206328x (talk | contribs) (New page: ==Problem== Suppose <math>n^{*}</math> means <math>\frac{1}{n}</math>, the reciprocal of <math>n</math>. For example, <math>5^{*}=\frac{1}{5}</math>. How many of the following statement...) |
|||
| (One intermediate revision by one other user not shown) | |||
| Line 1: | Line 1: | ||
==Problem== | ==Problem== | ||
| − | Suppose <math>n^{*}</math> means <math>\frac{1}{n}</math>, the reciprocal of <math>n</math>. For example, <math>5^{*}=\frac{1}{5}</math>. How many of the following statements are true? | + | Suppose <math>n^{*}</math> means <math>\frac{1}{n}</math>, the [[reciprocal]] of <math>n</math>. For example, <math>5^{*}=\frac{1}{5}</math>. How many of the following statements are true? |
i) <math>3^*+6^*=9^*</math> | i) <math>3^*+6^*=9^*</math> | ||
| Line 28: | Line 28: | ||
==See Also== | ==See Also== | ||
| − | + | {{AJHSME box|year=1987|num-b=20|num-a=22}} | |
[[Category:Introductory Algebra Problems]] | [[Category:Introductory Algebra Problems]] | ||
| + | {{MAA Notice}} | ||
Latest revision as of 23:53, 4 July 2013
Problem
Suppose 
means 
, the reciprocal of 
. For example, 
. How many of the following statements are true?
i)ii)
iii)
iv)
ii) 
iii) 
iv) 
Solution
We can just test all of these statements:
The last two statements are true and the first two aren't, so 
See Also
| 1987 AJHSME (Problems • Answer Key • Resources) | ||
| Preceded by Problem 20 |
Followed by Problem 22 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | ||
| All AJHSME/AMC 8 Problems and Solutions | ||
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
