Question: What is the value of 5x^2 + 4x - 1 ?
(1) x(x + 2) = 0
(2) x = 0
- Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
- Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
- BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
- EACH statement ALONE is sufficient.
- 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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