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Logic Puzzle Solution

We are tasked with determining the grade and favorite color of four children: Amanda, Bill, Cathy, and Dorothy. Each child is in one of the grades (1st, 2nd, 3rd, or 4th) and has a unique favorite color (blue, red, pink, or green). We will use the provided clues to solve the puzzle.

#### Clues:
1. The 4th grader is a boy who does not like pink.
2. Dorothy is the youngest and likes blue.
3. Cathy is one grade ahead of Amanda.
4. The 2nd grader likes red.

#### Step-by-Step Solution:

##### Step 1: Analyze Clue 2
- Clue 2: Dorothy is the youngest and likes blue.
- Since Dorothy is the youngest, she must be in the 1st grade.
- Dorothy's favorite color is blue.
- Dorothy = 1st grade, Blue

##### Step 2: Analyze Clue 1
- Clue 1: The 4th grader is a boy who does not like pink.
- The 4th grader is a boy, so it cannot be Amanda or Dorothy (since they are girls).
- The 4th grader does not like pink, so his favorite color must be either red, blue, or green.
- Since Dorothy already likes blue (from Clue 2), the 4th grader's favorite color cannot be blue.
- Therefore, the 4th grader's favorite color is either red or green.
- Possible candidates for 4th grade: Bill

##### Step 3: Analyze Clue 4
- Clue 4: The 2nd grader likes red.
- The 2nd grader's favorite color is red.
- Since Dorothy is in the 1st grade (from Clue 2), and the 4th grader's favorite color is either red or green (from Clue 1), the 2nd grader must be someone else.
- Possible candidates for 2nd grade: Amanda, Bill, or Cathy

##### Step 4: Analyze Clue 3
- Clue 3: Cathy is one grade ahead of Amanda.
- This means Cathy's grade is exactly one higher than Amanda's grade.
- If Amanda is in the 1st grade, Cathy would be in the 2nd grade.
- If Amanda is in the 2nd grade, Cathy would be in the 3rd grade.
- If Amanda is in the 3rd grade, Cathy would be in the 4th grade.
- However, since Dorothy is in the 1st grade (from Clue 2), Amanda cannot be in the 1st grade.
- Therefore, Amanda must be in the 2nd grade or 3rd grade.

##### Step 5: Combine Information
- From Clue 4, the 2nd grader likes red. Since Amanda is a girl, she cannot be the 4th grader (who is a boy). Therefore, Amanda must be the 2nd grader.
- Amanda = 2nd grade, Red
- Since Amanda is in the 2nd grade, Cathy must be in the 3rd grade (from Clue 3).
- Cathy = 3rd grade
- Since Dorothy is in the 1st grade (from Clue 2) and Amanda is in the 2nd grade, Bill must be in the 4th grade (from Clue 1).
- Bill = 4th grade
- The only remaining grade is the 3rd grade, which is assigned to Cathy.

##### Step 6: Determine Favorite Colors
- Dorothy likes blue (from Clue 2).
- Dorothy = Blue
- Amanda likes red (from Clue 4).
- Amanda = Red
- Bill is the 4th grader and does not like pink (from Clue 1). Since Dorothy likes blue and Amanda likes red, Bill's favorite color must be green.
- Bill = Green
- The only remaining color is pink, which must belong to Cathy.
- Cathy = Pink

#### Final Answer:
- Dorothy: 1st grade, Blue
- Amanda: 2nd grade, Red
- Cathy: 3rd grade, Pink
- Bill: 4th grade, Green

\boxed{
\begin{array}{c|c|c}
\text{Name} & \text{Grade} & \text{Favorite Color} \\
\hline
\text{Dorothy} & \text{1st} & \text{Blue} \\
\text{Amanda} & \text{2nd} & \text{Red} \\
\text{Cathy} & \text{3rd} & \text{Pink} \\
\text{Bill} & \text{4th} & \text{Green} \\
\end{array}
}