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A set of numbers has the property that for any number in the set, and are also in the set. If −3 is in the set, which of the following must also be in the set?
I. −27
II. 27
III. 81
If x, y, and z are all positive and x 2 + z 2 = 313 , then what is the value of y − x − z?
(1) y 2 + z 2 = 244
(2) x 2 + y 2 = 269