an interesting algebra problem

Suppose that positive integers \( a_{1}\) , \( a_{2}\), .., \(a_{2 006}\) (some of them may be equal) satisfy the condition: that any two of -

\( a_{1}/a_{2} , a_{2}/a_{3} , ........................,a_{2005}/{a_{2006}}\)

are unequal. At least how many different numbers are there in { \( a_{1}\) , \( a_{2}\) ................ , \( a_{2006}\) } ?

×

Problem Loading...

Note Loading...

Set Loading...