1. What color do you feel like?

2. I feel like the color red.
3. I feel like red.
--------------------------------
Q1: Can we answer the question #1 like #2 or #3?
Q2: Would you paraphrase #1 to clarify the meaning?

That's a very odd question. Does it mean what color do you feel like wearing today? Or what color matches your personality? This doesn't make sense to me unless I know the intent.

When we use cool colors such as green, blue, and purple, we can show calm or sad feelings. For example, I feel blue.

In this case, can we ask "What color do you feel like?' - I feel blue.(Is this the right answer?)

Yes, now that makes sense ... and I agree with you.

4. What color do you feel like?

5. I feel like the color blue.
6. I feel like blue.
7. I feel blue
-------------------
What other expressions can we use which are similar to #1?
Can we naswer like #5,6,or 7?

What color reflects your mood today?

What color is your favorite, especially in choosing clothes you like?

What color makes you look your best, do you think?

A1: Yes, we can answer question #1 by using either response #2 or #3. Both of them convey the same meaning, which is expressing a preference for the color red.

A2: Yes, I can certainly paraphrase question #1 to clarify its meaning. The question "What color do you feel like?" is asking for your current preference or inclination towards a particular color. So, when you say "I feel like the color red," you are expressing that you currently have a preference for the color red.