Solutions
Get detailed explanations to advanced GMAT questions.
Question
What is the value of 6^x*6^y ?
I. 2^(x+y) = 32
II. 3^(x+y) = 243
Option A:
Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.
Option B:
Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.
Option C:
BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.
Option D:
EACH statement ALONE is sufficient to answer the question asked.
Option E:
Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.
Difficulty Level
MediumSolution
Option D is the correct answer.
Option Analysis
6^x∗6^y=6^x+y, so to find the value of 6^x*6^y we need to find the value of x + y.
Statement I is sufficient: 2^(x+y) = 32 –> 2x+y=25 –> equate the powers: x + y = 5. Sufficient.
Statement II is sufficient: 3^(x+y) = 243 –> 3x+y=35 –> equate the powers: x + y = 5. Sufficient.
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