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.
Related Questions
- If k is negative, which of the following must also be negative?
- At a certain committee meeting only associate professors and assistant professors are present…
- If 175 billion French francs is equivalent to 35 billion United States dollars, which of the following…
- The figure above represents a rectangular garden bordered by a walk away that has a uniform width…
- A grocery store purchased crates of 40 oranges each for $5.00 per crate and then sold each orange for $0.20. What was the store’s gross profit on each crate of oranges?