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Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution.

The first step of the VA (Variable Approach) method is to modify the original condition and the question, and then recheck the numbers of variables and equations.

We can modify the original condition and question as follows:

If \(a < 0\), the function will have a maximum at \(x = \frac{(-100)}{(2a)} = \frac{(-50)}{a}\).

If \(a > 0\), the function has no maximum. So, to answer the question, we need to find the value of a.

Thus, condition 2) is sufficient.

Note: condition 1) cannot be sufficient as it provides no information about the value of a.

Therefore, the answer is B.

Answer: B

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