Hi All,
This question can be solved by TESTing THE ANSWERS. We can also use a bit of logic to eliminate some of the work.
We're told that the product of 2 NEGATIVE numbers is 160. We're told that the LESSER of the two numbers is "4 less than twice" the GREATER value. We're asked for that greater value.
Before we do any work, it's worth noting that a "greater" negative number is the one that's CLOSER to 0. As an example...
-1 is GREATER than -1,000
Thus,
the correct answer is almost certainly going to be C, D or E. Let's TEST Answer D....
Answer D: -8
IF the greater value is -8, then the lesser values is (2)(-8) - 4 = -16 - 4 = -20
Since (-8)(-20) does equal +160, then this is an exact match for what we're looking for - and this MUST be the answer!
Final Answer:
GMAT assassins aren't born, they're made,
Rich
May I know how did you consider that there is no chance for B to be the correct choice? Choice B (-16) is also closer to 0 (if I compare -16 with -20)!