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If m, x, and y are positive integers, what is the value of x – y?
II. m is a multiple of 4
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.
Option E is the correct answer.
Statement I is insufficient: 2^x=m(2^y) –> divide both sides by 2^y: 2^(x−y)=m. We need the value of m to get the value of x-y. Not sufficient.
Statement II is insufficient: m is a multiple of 4. Clearly insufficient.
Together I and II,
We still don’t know the value of m: if m=4, then 2^(x−y)=2^2 and in this case x−y=2 but if m=8, then 2^(x−y)=2^3 and in this case x−y=3. Not sufficient.
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