MGMAT DS Challenge Problem from a few years ago

[DWG]

If d represents the hundredths digit and e represents the thousandths digit in the decimal .4de, what is the value of this decimal rounded to the nearest tenth?

(1) d - e is equal to a positive perfect square.

(2) sqrt (d) > E*E

(A) Statement (1) alone is sufficient, but statement (2) alone is not sufficient.
(B) Statement (2) alone is sufficient, but statement (1) alone is not sufficient.
(C) BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
(D) Each statement ALONE is sufficient.
(E) Statements (1) and (2) TOGETHER are NOT sufficient.

I could be wrong here but here's my stab at it!

(1) d - e must equal 1, 4, or 9

Possible values of the 3-digit decimal:


.421 ---> rounds to .4
.490 ---> rounds to .5

INSUFFICIENT

(2)

Suppose d = 2, then e must be 1 or 0 ----> rounds to .4
Suppose d = 9, then e must be 1 or 0 ----> rounds to .5

INSUFFICIENT

Both taken together, some possible values where d-e is a perfect square AND sqrt(d) > e^2 are:

.490 ---> rounds to .5
.451 ---> rounds to .5
.440 ---> rounds to .4

Thus the answer is (E)???

Am I missing something? I feel like I am.

Thanks

[JonathanSchneider]

In my reckoning, that is pure perfection.