If (x - 1)(x - 2) = 0, x = ? GMAT data sufficiency

Question: If (x - 1)(x - 2) = 0, x = ?

Statement 1. x is even
Statement 2. x is odd

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.

Answer: D

Solution and Explanation:

Approach Solution 1:
Assuming that (x-2)(x-1) = 0, one of the following two options must be true for the aforementioned equation to hold true:
(x-2) = 0
=>x = 2
or:
(x-1) = 0
=>x = 1
Now that (1) -> x is even, we can plainly state that x = 2 from the aforementioned roots; therefore, it suffices.
In light of the fact that (2) -> x is odd, we may state with certainty that x = 1 from the aforementioned roots. Hence sufficient
As both statements are sufficient to get the answer, D is the correct choice.
Correct option: D

Approach Solution 2:
It has asked the question to find the value of x.
Given the equation: (x-2)(x-1) = 0
We get x = 2,1
We are not sure which could be the value of x
Statement 1: This says that x is even
Now, from the given two values of x, only 2 is even. Hence, it is sufficient to get the answer.
Statement 2: This says that x is odd
Now, from the given two values of x, only 1 is odd. Hence, it is sufficient to get the answer.
Correct option: D

Approach Solution 3:
We know that the product of two numbers is zero if and only if at least one of the numbers is zero. Therefore, we have to solve for the value of x
(x - 1)(x - 2) = 0
Setting each factor equal to zero:
x - 1 = 0 or x - 2 = 0
Solving for x:
x = 1, 2
To decide which value of x is accurate, assertion 1: "X is even" is sufficient.
The information in statement two, "X is odd," is also sufficient to establish which value of X is accurate.
Correct option: D

“If (x - 1)(x - 2) = 0, x = ? GMAT data sufficiency" - is a topic of the GMAT data sufficiency section of GMAT. This question has been borrowed from the book “GMAT Official Guide Quantitative Review”.

To understand GMAT data sufficiency questions, applicants must possess fundamental qualitative skills. Quant tests a candidate's aptitude in reasoning and mathematics. The GMAT Quantitative test's problem-solving phase consists of a question and two statements. By using mathematics to answer the question, the candidate must select the appropriate response among five choices which states which statement is sufficient to answer the problem. The data sufficiency section of the GMAT Quant topic is made up of very complicated math problems that must be solved by using the right math facts.

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