Each questions is followed by two statements. Decide whether the data in the statements are sufficient to answer the question. Select your answer according to whether: Is 98 a factor of \(z^2\)? (1) \(z>0\) (2) \(z\) is divisible by 154
A. Statement (1) alone is sufficient, but statement (2) alone is not sufficient to answer the question.
B. Statement (2) alone is sufficient, but statement (1) alone is not sufficient to answer the question.
C. Both statements taken together are sufficient to answer the questions, but neither statement alone is sufficient.
D. Each statement alone is sufficient.
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Explanation: Statement 1 alone is not sufficient. From statement 2 alone, since \(z\) is divisible by 154, \(z^2\) must be divisible by \(154^2\). 98 is a factor of \(154^2\). Since \(154^2\) itself is a factor of \(z^2\), this means that 98 must also be a factor of \(z^2\). Correct Answer (B)
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