The correct answer is E.
Here is the explanation.
x^2-1 = x +1
x^2-1-x-1 = 0
x^2-x-2 = 0
(x-2) (x+1) = 0
Here x is either 2 or -1. Not sufficient.
Statement 3: X+3 is prime number. X xould be any number like 2,4,8...etc. So Not sufficient.
Together: If we consider statement 1 and 2 togather.
x=2 , X+3 = 5 is prime -- True
x=-1, x+3 = -1+3 = 2 is prime --True.
Again we get two solutions for x (2 or -1). Which is insuffient to find x.
So the answer is E.
hope this helps.
+1Kudos, if this helps