Hi All,
This is an example of a 'symbolism' question. In most cases, symbolism questions involve basic arithmetic or algebra and are just about following the 'instructions' that you're given. Here, an Algebraic approach will work nicely to get you to the correct answer. You can also get to the solution by using some Number Properties and TESTing THE ANSWERS.
We're told that....
A && B = (A+2)(B-3)
We're asked to figure out the value of X in the following equation....
3 && X = -45
Since the given symbol involves multiplying two parentheses, and the product is -45, one parentheses must be POSITIVE while the other is NEGATIVE.
Substituting the '3' for the 'A' gives us (3+2) = (5), so that is the POSITIVE term. Thus, (B-3) must be NEGATIVE. To make that parentheses negative, we need B to be LESS than 3. That eliminates the last 3 answer choices (C, D and E).
Let's TEST Answer B (since it will be easier math)....
3 && - 6 = (3+2)(-6 -3) = (5)(-9) = -45
This is an exact match for what we were told, so this MUST be the answer.
Final Answer:
GMAT assassins aren't born, they're made,
Rich