What is the value of xyz?

With only the first look of this question you can say that answer should be C or E.

stmt-1:

any two of 3 variables could be zero and third need to be 3. in this case xyz=0
i.e. x=0,y=0 and z=3 then 0^2 + 0^2 + 3^2 = 9

any two variables can have value 2 and third would be 1. in this case xyz=4
i.e. x=2,y=2 and z=1 then 2^2 + 2^2 + 1^2 = 9

insufficient.

stmt-2:

any two of 3 variables could be zero and third need to be 1. in this case xyz=0
i.e. x=0,y=0 and z=1 then 0^3 + 0^3 + 1^3 = 1

any two variables can have same value 2,3,4,5,...but different sign and third value can be 1.
i.e. x=-2,y=2 and z=1 then 2^3 + 2^3 + 1^3 = 4-4+1 = 1

insufficient

Stmt-1 + stmt-2:

Now x=2 & y=-2 and z=1 is the only possibility, if you figure out the following.

we know that values can be interchanged because question asks the multiple of all three and not the individual value
We also need to realise that even power makes every value +ve and whenever you see odd powers always consider -ve values.

Answer is C.