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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 $x^2 +y^2 + Z^2$?

1. ​$x+y+z=89$
2. Among $x, y, z$ two are equal