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# Data Sufficiency: The Question Stem - What is the Issue?

If $$K$$ is a multiple of 29, is $$K\cdot Y$$ a multiple of 174? >(1) $$Y$$ is a multiple of 27. >(2) $$K$$ is divisible by 2 without a remainder.
Did you have any problems with the math vocabulary in this question?
Look at each statement: According to Stat. (1), $$Y$$ is a multiple of 27. If $$Y$$ is a multiple of 27, then it is also a multiple of all of its positive factors, 1, 3, and 9. This statement adds 3 as one of $$Y$$'s factors, and therefore one of $$K\cdot Y$$'s factors, but we still don't know if $$K\cdot Y$$ includes the "2" building block required to make it divisible by 174. Therefore, this statement isn't sufficient, and **Stat.(1) → Maybe → IS → BCE**. According to Stat. (2), $$K$$ is divisible by 2. Thus, this statement places the factor 2 in $$K$$, and therefore in $$K\cdot Y$$. However, we still don't know if $$K\cdot Y$$ contains a "3" building block. Therefore, this statement isn't sufficient, and **Stat.(2) → Maybe → IS**. Combine both statements to find both factor 2 and 3. Thus, $$K \cdot Y$$ together have the 2, 3, and 29 building blocks needed to make a 174. Therefore **Stat.(1+2) → Yes → S → C**.
Incorrect. [[snippet]] According to Stat. (1), $$Y$$ is a multiple of 27. If $$Y$$ is a multiple of 27, then it is also a multiple of all of its positive factors, 1, 3, and 9. This statement adds 3 as one of $$Y$$'s factors, and therefore one of $$K\cdot Y$$'s factors, but we still don't know if $$K\cdot Y$$ includes the "2" building block required to make it divisible by 174. Therefore, this statement isn't sufficient, and **Stat.(1) → Maybe → IS → BCE**.
Did you combine the data from Statement (1) while reading Statement (2)?
Read each statement __alone__ at first. Only then try to combine the statements.
Incorrect. [[snippet]] If you consider each statement alone, there's no way you can reach a definite "Yes/No" answer.
Incorrect. [[snippet]] Focus on finding the missing factors above to try to answer the question stem.
Good. Look at the statements: According to Stat. (1), $$Y$$ is a multiple of 27. If $$Y$$ is a multiple of 27, then it is also a multiple of all of its positive factors, 1, 3, and 9. This statement adds 3 as one of $$Y$$'s factors, and therefore one of $$K\cdot Y$$'s factors, but we still don't know if $$K\cdot Y$$ includes the "2" building block required to make it divisible by 174. Therefore, this statement isn't sufficient, and **Stat.(1) → Maybe → IS → BCE**. According to Stat. (2), $$K$$ is divisible by 2. Thus, this statement places the factor 2 in $$K$$, and therefore in $$K\cdot Y$$. However, we still don't know if $$K\cdot Y$$ contains a "3" building block. Therefore, this statement isn't sufficient, and **Stat.(2) → Maybe → IS**. Combine both statements to find both factor 2 and 3. Thus, $$K \cdot Y$$ together have the 2, 3, and 29 building blocks needed to make a 174. Therefore **Stat.(1+2) → Yes → S → C**.
Correct. [[snippet]]
Remember, when GMAT says that >$$K\cdot Y$$ is a multiple of 174, it is the same as saying that >$$\frac{K\cdot Y}{174}$$ is an integer, which is the same as saying >174 is a factor of $$K\cdot Y$$ or even that >$$K\cdot Y$$ is divisible by 174. Mastering GMAT-speak will save you precious time and careless mistakes.
Incorrect. [[snippet]] According to Stat. (2), $$K$$ is divisible by 2. Thus, this statement places the factor 2 in $$K$$, and therefore in $$K\cdot Y$$. However, we still don't know if $$K\cdot Y$$ contains a "3" building block. Therefore, this statement isn't sufficient, and **Stat.(2) → Maybe → IS**.
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.