Question: What is the value of 5x^2 + 4x - 1 ?
(1) x(x + 2) = 0
(2) x = 0

1. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
2. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
3. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
4. EACH statement ALONE is sufficient.
5. Statements (1) and (2) TOGETHER are not sufficient.

Correct Answer: B
Solution and Explanation:
Approach Solution 1:
5x^2+4x−1
= 5x^2+5x−x−1
=5x(x+1)−1(x+1)
=(x+1)(5x−1)
Statement 1: x(x + 2) = 0
Either x= 0 or x=-2
If x=0,
5x^2+4x−1=(+1)(−1)= −1
If x= -2
5x^2+4x−1= (−2+1)(−10−1)=(−1)(−11)= 11
Insufficient
Statement 2: x = 0
It will lead to a single value of expression as seen above.
Sufficient.

Approach Solution 2:
1) x(x + 2) = 0
We have two values of x 0 and -2.
We would get 2 values for the equation.
Insufficient.
(2) x = 0
We are directly provided for the value of x = 0
We get only one value for the equation.
Sufficient.

Approach Solution 3:
Statement 1: x(x + 2) = 0
For this to be true either x or (x+2) has to be 0
because 0 multiplied by any no. will give 0
If x=0 Statement becomes 0(0+2)= 0
If x=-2 Statement becomes -2(-2+2)= 0

“What is the value of 5x^2 + 4x - 1? (1) x(x + 2) = 0 (2) x = 0”- is a topic of the GMAT Quantitative reasoning section of GMAT. This question has been taken from the book "GMAT Official Guide". GMAT Quant section consists of a total of 31 questions. GMAT Data Sufficiency questions consist of a problem statement followed by two factual statements. GMAT data sufficiency comprises 15 questions which are two-fifths of the total 31 GMAT quant questions.

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