Hi
I can share few things which have helped me
1) Before going to the statements - first paraphrase,rearrange,interpret and simplify the question to get the real question ( there is always something hidden ) - if you do this in many cases it will throw up the answer in either statement 1 or 2 itself
2)when you start interpreting statement 1 and get stuck - glance over to statement 2 and you many realise in somecases it is exactly what is needed to make statement 1 sufficient - you can confidently say that statement 1 by itself is insufficient
This doesnot mean that statement 2 is insufficient but it allows you to quickly move to statement 2
Hope this helps.