Determining Sum of Distinct Primes

Very Hard Data Sufficiency Analyzing Information

Let $n$ be a positive integer. We want to determine whether $n$ can be expressed as the sum of two distinct prime numbers.

Statement (1): $n$ is greater than 5.

Statement (2): $n$ is odd.

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

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

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

Each statement alone is sufficient.

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% Correct79%