Directions for the below question:
Each question is followed by two statements A and B. Answer each question using the below instructions.
- Mark $(1)$ if the question can be by using statement A alone but not by using statement B alone.
- Mark $(2)$ if the question can be answered by sing statement B alone but not by using statement A alone.
- Mark $(3)$ if the question can be answered by using both the statements together but not by using either of the statements alone.
- Mark $(4)$ if the question cannot be answered on the basis of the two statements.
Consider the integers $x, y,$ and $z.$ What is the maximum possible value of $x^2 +y^2 + Z^2$?
- $x+y+z=89$
- Among $x, y, z$ two are equal