M7MBA wrote: ↑Sat Dec 18, 2021 6:29 am
What is the value of \(x?\)
(1) \((x)(x + 1) = (2013)(2014)\)
(2) \(x\) is odd.
Answer:
C
Source: Veritas Prep
Target question: What is the value of x?
Statement 1: (x)(x + 1) = (2013)(2014)
At first glance, statement 1 looks sufficient. However, there are two possible values of x:
Case a: x = 2013 and x+1 = 2014. In this case, the answer to the target question is
x = 2013
Case b: x = -2014 and x+1 = -2013. In this case, the answer to the target question is
x = -2014
Since we can’t answer the
target question with certainty, statement 1 is NOT SUFFICIENT
Statement 2: x is odd
Definitely NOT SUFFICIENT
Statements 1 and 2 combined
Statement 1 indirectly tells us that EITHER x = 2013 OR x = -2014
Statement 2 tells us that x is odd
In order for both statements to be true, it must be the case that
x = 2013
Since we can answer the
target question with certainty, the combined statements are SUFFICIENT
Answer: C
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