Relaxation Problems - 3
Number Theory
Level
3
Let \(n\) be a positive integer and \(a, b\) be two positive integers such that \(a+b=n\). Which of the following are possible values of \(ab\) for all even positive integers \(n\)?
I. \(n+1\)
II. \(n-1\).
III. \(2n-4\)
IV. \(0.25n^{2}\)
V. \(0.25 (n^{2}-4)\)
VI. \(n^{2}\)
by
Joel Tan