Solve this logic puzzle by using the clues to figure out which grade each child is in and their favorite color.

I will solve this logic puzzle step by step using the clues provided.

Step 1: Analyze the Clues

First, let's break down each clue:

1. The 4th grader is a boy who does not like pink.
* This tells us the 4th grader is Bill (the only boy named).
* It also means Bill's favorite color is NOT pink.

2. Dorothy is the youngest and likes blue.
* The youngest child is in 1st grade.
* Therefore, Dorothy is in 1st grade and her favorite color is blue.

3. Cathy is one grade ahead of Amanda.
* This means if Amanda is in 1st, Cathy is in 2nd; if Amanda is in 2nd, Cathy is in 3rd; if Amanda is in 3rd, Cathy is in 4th.
* Since Dorothy is in 1st grade, Amanda cannot be in 1st. So the possible pairs are:
* Amanda in 2nd, Cathy in 3rd
* Amanda in 3rd, Cathy in 4th

4. The 2nd grader likes red.
* This directly links the 2nd grade to the color red.

Step 2: Apply the Clues to the Grid

Let's start filling in the grid based on the most direct clues.

* From Clue 2: Dorothy is in 1st grade and likes blue. We can mark an 'O' for Dorothy in the 1st grade column and the Blue column.
* From Clue 1: The 4th grader is Bill. We can mark an 'O' for Bill in the 4th grade column.
* From Clue 1: Bill does not like pink. We can mark an 'X' for Bill in the Pink column.
* From Clue 4: The 2nd grader likes red. We can mark an 'O' in the intersection of the 2nd grade row and the Red column. This means the child in 2nd grade has red as their favorite color.

Now, let's use Clue 3: Cathy is one grade ahead of Amanda.

We know Dorothy is in 1st grade and Bill is in 4th grade. That leaves 2nd and 3rd grades for Amanda and Cathy.

The only way for Cathy to be one grade ahead of Amanda is if Amanda is in 2nd grade and Cathy is in 3rd grade.

* Mark an 'O' for Amanda in the 2nd grade column.
* Mark an 'O' for Cathy in the 3rd grade column.

From Clue 4, we know the 2nd grader (Amanda) likes red. So we mark an 'O' for Amanda in the Red column.

Since each child has a different favorite color, we can now fill in the rest.

* Amanda likes red.
* Dorothy likes blue.
* Bill is in 4th grade and doesn't like pink. The only colors left for him are green and red. But red is taken by Amanda, so Bill must like green.
* That leaves pink for Cathy.

Let's verify this with the grid:

* Dorothy: 1st grade, Blue (matches Clue 2)
* Amanda: 2nd grade, Red (matches Clue 4 and Clue 3, since Cathy is ahead of her)
* Cathy: 3rd grade, Pink (only color left, and she is one grade ahead of Amanda)
* Bill: 4th grade, Green (matches Clue 1: he is the 4th grader, a boy, and doesn't like pink)

Everything checks out!

Final Answer

Based on the clues, here is the solution:

* Dorothy is in 1st grade and her favorite color is blue.
* Amanda is in 2nd grade and her favorite color is red.
* Cathy is in 3rd grade and her favorite color is pink.
* Bill is in 4th grade and his favorite color is green.