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
