Forget conventional ways of solving math questions. In DS, Variable approach is the easiest and quickest way to find the answer without actually solving the problem. Remember equal number of variables and independent equations ensures a solution.

If P and Q are positive integers, is the product 3P^Q divisible by 2?

(1) 6Q^3 + 2 is an even number

(2) P + 8Q^2 is a prime number

The question is eventually asking whether P is even as 3 cannot be divided by 2.

From condition 2, p+8Q^2 is told to be prime and this means p is odd, so this answers the question 'no' and is therefore sufficient.

From condition 1, the question is asking whether P is even so this is irrelevant to the question, and insufficient.

The answer therefore becomes (B).

Once we modify the original condition and the question according to the variable approach method 1, we can solve approximately 30% of DS questions.

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