Three labelled boxes containing red and white cricket balls are all mislabeled. It is known that one of the boxes contains only white balls and one only red balls. The third contains a mixture of red and white balls. You are required to correctly label the boxes with the labels red, white and red and white by picking a sample of one ball from only one box. What is the label on the box you should sample?

The number of common terms in the two sequences 17, 21, 25, ..., 417 and 16, 21, 26, ...., 466 is

The n^thelement of a series is represented as
X_n= (-1)ⁿX_n-1
If X₀= x and x > 0 then the following is always true