I think B is correct.
Let the number of students who graduate from each pool (4-year and transfer) be N. Let the number of students who graduate with honors be x (4-year) and y (transfer). The answer is whether we can solve for y/(x+y).
In Statement 1, they give us the values of N and y. But x is unrelated to y, therefore cannot solve.
In Statement 2, they give us the equation y = 1.5x.
Substituting for y, we get 1.5x/(x+1.5x)
Solving we get 3/5.