If $$m$$ and $$n$$ are prime numbers, is the remainder when $$7m$$ is divided by $$n$$ smaller than 3?
>(1) $$m \lt 5$$
>(2) $$n \lt 11$$

According to Stat. (2), $$n \lt 11$$, so $$n$$ can be 2, 3, 5, and 7, and $$m$$ can be any prime number.
* If $$m = 2$$ and $$n = 5$$, then the remainder is 4, which is _greater_ than 3.
* If $$m = 7$$ and $$n = 7$$, then the remainder is zero, which is _less_ than 3.
Thus, there is no definite answer, so **Stat.(2) → No → IS → CE**.
According to Stat. (1+2), $$m \lt 5$$, so $$m$$ can be 2 or 3, and $$n \lt 11$$, so $$n$$ can be 2, 3, 5, and 7.
* If $$m = 2$$ and $$n = 5$$, then the remainder is 4, which is _greater_ than 3.
* If $$m = 2$$ and $$n = 7$$, then the remainder is zero, which is _less_ than 3.
Thus, there is no definite answer, so **Stat.(1+2) → No → IS → E**.

Incorrect.
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According to Stat. (1), $$m \lt 5$$, so $$m$$ can be 2 or 3, and $$n$$ can be any prime number.
* If $$m = 2$$ and $$n = 17$$, then the remainder when $$7m$$ is divided by $$n$$ is 14, which is _greater_ than 3.
* If $$m = 3$$ and $$n = 3$$, then the remainder is zero, which is _less_ than 3.
Thus, there is no definite answer, so **Stat.(1) → No → IS → BCE**.

Incorrect.
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According to Stat. (2), $$n \lt 11$$, so $$n$$ can be 2, 3, 5, and 7, and $$m$$ can be any prime number.
* If $$m = 2$$ and $$n = 5$$, then the remainder when $$7m$$ is divided by $$n$$ is 4, which is _greater_ than 3.
* If $$m = 7$$ and $$n = 7$$, then the remainder is zero, which is _less_ than 3.
Thus, there is no definite answer, so **Stat.(2) → No → IS → ACE**.

Incorrect.
[[snippet]]
According to Stat. (1+2), $$m \lt 5$$, so $$m$$ can be 2 or 3, and $$n \lt 11$$, so $$n$$ can be 2, 3, 5, and 7.
* If $$m = 2$$ and $$n = 5$$, then the remainder when $$7m$$ is divided by $$n$$ is 4, which is _greater_ than 3.
* If $$m = 2$$ and $$n = 7$$, then the remainder is zero, which is _less_ than 3.
Thus, there is no definite answer, so **Stat.(1+2) → No → IS → E**.

Incorrect.
[[snippet]]
According to Stat. (1), $$m \lt 5$$, so $$m$$ can be 2 or 3, and $$n$$ can be any prime number.
* If $$m = 2$$ and $$n = 17$$, then the remainder when $$7m$$ is divided by $$n$$ is 14, which is _greater_ than 3.
* If $$m = 3$$ and $$n = 3$$, then the remainder is zero, which is _less_ than 3.
Thus, there is no definite answer, so **Stat.(1) → No → IS → BCE**.
According to Stat. (2), $$n \lt 11$$, so $$n$$ can be 2, 3, 5, and 7, and $$m$$ can be any prime number.
* If $$m = 2$$ and $$n = 5$$, then the remainder is 4, which is _greater_ than 3.
* If $$m = 7$$ and $$n = 7$$, then the remainder is zero, which is _less_ than 3.
Thus, there is no definite answer, so **Stat.(2) → No → IS → CE**.

Correct.
[[snippet]]
According to Stat. (1), $$m \lt 5$$, so $$m$$ can be 2 or 3, and $$n$$ can be any prime number.
* If $$m = 2$$ and $$n = 17$$, then the remainder when $$7m$$ is divided by $$n$$ is 14, which is _greater_ than 3.
* If $$m = 3$$ and $$n = 3$$, then the remainder is zero, which is _less_ than 3.
Thus, there is no definite answer, so **Stat.(1) → No → IS → BCE**.

Statement (1) ALONE is sufficient, but Statement (2) alone is not sufficient to answer the question asked.

Statement (2) ALONE is sufficient, but Statement (1) alone is not sufficient to answer the question asked.

BOTH Statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.

EACH statement ALONE is sufficient to answer the question asked.

Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.

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