HI prata,
This DQ question can be solved by TESTing VALUES.
We're told that K is an INTEGER. We're asked if it's greater than 3. This is a YES/NO question.
1) The sum of -4 and K equals the SQUARE of an INTEGER.
To start, I'm going to list out the first few squares of integers: 0, 1, 4, 9, 16, etc.
IF...
the sum = 0, then K=4 and the answer to the question is YES
the sum = 1, then K=5 and the answer to the question is YES
the sum = 4, then K=8 and the answer to the question is YES
etc.
As the square gets bigger, K gets bigger (and the answer to the question will be YES every time).
Fact 1 is SUFFICIENT
(2) K equals the square of an integer.
IF...
K = 0, then the answer to the question is NO.
K = 4, then the answer to the question is YES.
Fact 2 is INSUFFICIENT
Final Answer: A
GMAT assassins aren't born, they're made,
Rich