Is y larger than 1?
(1) y is larger than 0
(2) $y^{2} - 4 > 0$ .

Statement (1) alone is sufficient, but statement (2) alone is not sufficient.

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Statement (2) alone is sufficient, but statement (1) alone is not sufficient.

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Both statements together are sufficient, but neither statement alone is sufficient.

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Statement (1) and (2) together are not sufficient.

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Solution

The correct option is D Statement (1) and (2) together are not sufficient.
(2) $\Rightarrow y^{2} > 4 \Rightarrow - 2 < y < 2$
(1) $\Rightarrow y > 0 \Rightarrow 0 < y < 2$
Hence, using both the statements we cannot be determined whether y is larger than 1 or smaller than 1.

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