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Product of integer and integer is always an integer. In 2z, 2 is already an integer, so if z is an integer then 2z will be an integer too, which is not allowed. So z should definitely be a fraction. Now we can consider special fractions with denominator 2, so that 2z is reduced to z. But again, if 2z is not an integer, then z has to be some fraction.
Stmt 1 is sufficient.
For stmt 2, z can be 1/2 or 1 and so on. So insufficient.