### All GMAT Math Resources

## Example Questions

### Example Question #11 : Dsq: Understanding Powers And Roots

and are integers. Is positive, negative, or zero?

Statement 1: is negative.

Statement 2: is odd.

**Possible Answers:**

Both statements TOGETHER are insufficient to answer the question.

Statement 1 ALONE is sufficient to answer the question, but Statement 2 ALONE is not sufficient to answer the question.

Either statement ALONE is sufficient to answer the question.

Statement 2 ALONE is sufficient to answer the question, but Statement 1 ALONE is not sufficient to answer the question.

Both statements TOGETHER are sufficient to answer the question, but neither statement ALONE is sufficient to answer the question.

**Correct answer:**

Both statements TOGETHER are sufficient to answer the question, but neither statement ALONE is sufficient to answer the question.

A negative integer to an even power is positive:

Example:

A negative integer to an odd power is negative:

Example:

A positive integer to an odd power is positive:

Example:

So, as seen in the first two statements, knowing only that base is negative is insufficient to detemine the sign of ; as seen in the last two statements, knowing only that exponent is odd is also insufficient. But by the middle statement, knowing *both* facts tells us is negative.

The answer is that both statements together are sufficient to answer the question, but neither statement alone is sufficient.