byRituparna Nath Content Writer at Study Abroad Exams
Question: What is the value of x?
(1) x^2 – 5 x + 6 = 0
(2) x > 0
(A) Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
(B) Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
(C) BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
(D) EACH statement ALONE is sufficient.
(E) Statements (1) and (2) TOGETHER are not sufficient.
“What is the Value of x? (1) x^2 – 5 x + 6 = 0 (2) x > 0” - is a topic of the GMAT Quantitative reasoning section of GMAT. This question has been taken from the book "GMAT Quantitative Review". The 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.
Approach Solution 1:
There is only one approach to solve the problem statement.
We will check both options separately and also combined them.
Statement 1)
x^2 – 5x + 6 = 0
—> x^2 - 3x - 2x + 6 = 0
—> x(x - 3) - 2(x - 3) = 0
—> (x - 3)(x - 2) = 0
—> x = 2 or 3
No unique value —>Hence, it is Insufficient
Statement 2)
x > 0
Many values of x are possible
—> x = {1, 2, 3, 4, 4.5, . . . }
—> Hence, Insufficient
Combining Statement 1 & Statement 2
—> Possible values of x = 2 or 3
No unique value —> Insufficient
Since all the possibilities are insufficient.
Correct Answer: E
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