M27-02

I did it without regrouping.

1) 4y^2 - is alway even; 3x^2 could be even or odd, depending on X;
x^4 will be even or odd, depending on X, but it will be the same as above; y^4 is unknown?
e + e = e => e = e + something, then this something is even
e + o = o => o = o + something, then this something is even

2) Not sufficient

Why am I not able to see the answer choices for Quant questions?

This is a data sufficiency question. Options for DS questions are always the same.

The data sufficiency problem consists of a question and two statements, labeled (1) and (2), in which certain data are given. You have to decide whether the data given in the statements are sufficient for answering the question. Using the data given in the statements, plus your knowledge of mathematics and everyday facts (such as the number of days in July or the meaning of the word counterclockwise), you must indicate whether—

A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.
C. BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.
D. EACH statement ALONE is sufficient to answer the question asked.
E. Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.

I suggest you to go through the following posts:
ALL YOU NEED FOR QUANT.
Ultimate GMAT Quantitative Megathread

Hope this helps.

this was very helpful! thank you

I have edited the question and the solution by adding more details to enhance its clarity. I hope it is now easier to understand.