Enthuware

do we need to study about native and strictfp for this exam?

Not in detail but just the basic stuff such as what are they meant for because they are keywords.

HTH,
Paul.

As I understand it the only non-access modifiers this test includes is abstract, final and static. So using strictfp and native seems silly.

Our recommendation is that one should have a basic idea about every keyword. You may ignore the advice if you think otherwise

HTH,
Paul.

Why do you recommend this? just as general knowledge a Java programmer should have or because this knowledge is useful for the exam? if so why is it useful?

Just as general knowledge that a Java programmer should have. That is why this is in the Foundation test and not in other standard tests.

Which of the following are valid declarations in a class?

I think that first aswer "abstract int absMethod(int param) throws Exception;" is incorrect too, because abstract we can't define abstract method in simple classes(only interfaces and abstract classes), isn't is?

But the question doesn't say concrete class or abstract class. It just says class.