1. At least 1 statement among these 2n+1 are true.
2. At least 3 statements among these 2n+1 are false.
3. At least 5 statements among these 2n+1 are true.
...
2n. At least (4n-1) statments among these 2n+1 are false.
2n+1. At least (4n+1) statements among these 2n+1 are true.

How many statements are true? Which?

The solution is possibly...

2n-1 statements are true...

It holds true for all the situations above...

1 = 2-1 statements true = 1
2 = 4-1 statements true  = 3
2n = 4n-1 statements true
2n+1 = 4n+2 -1 statements true

Posted by simon on 2005-06-29 10:39:01