# 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

Medium### Solution

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

- At the end of each year, the value of a certain antique watch is “c” percent more than its value one…

- 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?

- How many litres of apple juice were added to the cranberry juice in a certain container?

- A certain store sells small, medium, and large toy trucks in each of the colors red, blue, green, and yellow…

- If r is an integer, what is the value of 3^(2r)/ 27^(r-1)?