Let’s solve this logic puzzle step by step.
We have four children: Amanda, Bill, Cathy, Dorothy.
They are in grades 1st, 2nd, 3rd, or 4th — one child per grade.
Each has a favorite color: blue, red, pink, green — one color per child.
We’ll use the clues to figure out who is in which grade and what their favorite color is.
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Clue 1: The 4th grader is a boy who does not like pink.
→ So, the 4th grader is either Bill (since Amanda, Cathy, Dorothy are typically girl names; we assume Bill is the only boy here).
→ Also, Bill ≠ pink.
Clue 2: Dorothy is the youngest and likes blue.
→ Youngest = 1st grade.
→ So Dorothy is in 1st grade and her favorite color is blue.
Clue 3: Cathy is one grade ahead of Amanda.
→ That means if Amanda is in grade X, Cathy is in grade X+1.
→ Possible pairs:
- Amanda=1st → Cathy=2nd
- Amanda=2nd → Cathy=3rd
- Amanda=3rd → Cathy=4th
But from Clue 2, Dorothy is in 1st → so Amanda can’t be in 1st.
So possible:
- Amanda=2nd → Cathy=3rd
- Amanda=3rd → Cathy=4th
Clue 4: The 2nd grader likes red.
→ Whoever is in 2nd grade → favorite color = red.
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Now let’s combine:
From Clue 2: Dorothy = 1st grade, blue.
From Clue 1: 4th grader = boy (Bill), not pink → so Bill is 4th grader, and his color is NOT pink.
From Clue 3: Cathy is one grade ahead of Amanda.
Try Amanda=2nd → then Cathy=3rd.
Then grades:
- 1st: Dorothy
- 2nd: Amanda
- 3rd: Cathy
- 4th: Bill → matches Clue 1.
Check Clue 4: 2nd grader likes red → Amanda likes red.
Clue 2: Dorothy likes blue → good.
Clue 1: Bill (4th) doesn’t like pink → so Bill’s color is not pink.
Colors left: green, pink (since blue and red taken).
Bill ≠ pink → so Bill = green.
Then pink must go to Cathy (only one left).
So:
- Amanda: 2nd, red
- Bill: 4th, green
- Cathy: 3rd, pink
- Dorothy: 1st, blue
Check all clues:
1. 4th grader is boy (Bill) and not pink → he likes green →
✔
2. Dorothy is youngest (1st) and likes blue →
✔
3. Cathy (3rd) is one grade ahead of Amanda (2nd) →
✔
4. 2nd grader (Amanda) likes red →
✔
Perfect! All clues satisfied.
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Final Answer:
Amanda: 2nd grade, red
Bill: 4th grade, green
Cathy: 3rd grade, pink
Dorothy: 1st grade, blue
Parent Tip: Review the logic above to help your child master the concept of printable logic puzzles middle school.
