What color name written in capital letters, has two letters with two pairs of parallel lines, four of the letters have perpendicular lines and three letters have both parallel and perpendicular lines?

White

To find the answer to the question, we need to analyze the description of the color name and break it down based on the types of lines mentioned.

Let's go through the given information step by step:

1. Two letters with two pairs of parallel lines:
- The letters 'E' and 'H' have two pairs of parallel lines.

2. Four letters with perpendicular lines:
- The letters 'H', 'I', 'L', and 'T' have perpendicular lines.
- However, note that the letter 'H' has already been accounted for in the previous step.

3. Three letters with both parallel and perpendicular lines:
- The letters 'A', 'X', and 'W' have both parallel and perpendicular lines.

Now, let's combine the findings from all three steps:

- The letter 'E' has two pairs of parallel lines.
- The letter 'H' has two pairs of parallel lines and perpendicular lines.
- The letter 'I' has perpendicular lines.
- The letter 'L' has perpendicular lines.
- The letter 'T' has perpendicular lines.
- The letter 'A' has both parallel and perpendicular lines.
- The letter 'X' has both parallel and perpendicular lines.
- The letter 'W' has both parallel and perpendicular lines.

Based on the analysis, the color name that fits the given description is WHiTe.

To summarize:
- The letters 'W', 'H', 'I', 'T', and 'E' satisfy the given conditions.
- The letters 'A', 'X', and 'W' have both parallel and perpendicular lines.
- The letters 'H', 'I', 'L', and 'T' have perpendicular lines.
- The letters 'E' and 'H' have two pairs of parallel lines.