# GMAT Quantitative Practice, Data Sufficiency

*Question 1*

What is the value of *m*?

(1)

m+n= 6(2)

n+m= 4

- Statement (1) ALONE is sufficient to answer the question, but statement (2) alone is NOT sufficient.
- Statement (2) ALONE is sufficient to answer the question, but statement (1) alone is NOT sufficient.
- BOTH statements (1) and (2) TOGETHER are sufficient to answer the question, but NEITHER statement ALONE is sufficient.
- Each statement ALONE is sufficient to answer the question.
- Statements (1) and (2) TOGETHER are NOT sufficient to answer the question.

## Explanatory Answer

Statements (1) and (2) actually provide the same equation. (One way to confirm this is to multiply each term in the second equation by 3/2.) Given one linear equation in two variables, you cannot determine the value of one variable without knowing the value of the other. Thus, *m* may carry an infinite number of possible values. The correct response is (E).