GWD Math 2, Questions 30 and 32

30. In the figure, each side of square ABCD has length 1, the length of line segment CE is 1, and the length of line segment BE is equal to the length of line segment DE.  What is the area of the triangular region BCE?

A.      1/3

B.       (Ö2)/4

C.      1/2

D.      (Ö2)/2

E.       3/4

Answer: B

觉得BCE是等边三角形，面积为（3）^(1/2)/4. 所有选项均不正确。

What is the remainder when the two digit, positive integer x is divided by 3?

(1)
                  The sum of the digits of x is 5.

(2)
                  The remainder when x is divided by 9 is 5.

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.                                                                                                                                                  

Answer:  (D)

我觉得答案应该是E。 32 能够满足（1）和（2），但其余数为5。 其能够满足条件的余数则为2。

请NN指教。谢谢