Let’s solve this logic puzzle step by step.
We have four children: Amanda, Bill, Cathy, Dorothy.
They are in 1st, 2nd, 3rd, or 4th grade — one child per grade.
Each has a different favorite color: blue, red, pink, green — one color per child.
We’ll use the clues to fill in the grid.
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Clue 2: Dorothy is the youngest and likes blue.
→ “Youngest” means she’s in
1st grade.
→ She likes
blue.
So we can write:
- Dorothy → 1st grade
- Dorothy → Blue
That also means no one else is in 1st grade or likes blue.
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Clue 4: The 2nd grader likes red.
→ So whoever is in 2nd grade → likes red.
We don’t know who yet, but we know that person ≠ Dorothy (she’s 1st and likes blue).
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Clue 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.
Amanda cannot be in 4th (no grade ahead).
But Dorothy is already in 1st, so Amanda can’t be in 1st? Wait — let’s check.
Dorothy is in 1st → so Amanda cannot be in 1st.
So possible pairs for (Amanda, Cathy):
- Amanda in 2nd → Cathy in 3rd
- Amanda in 3rd → Cathy in 4th
Let’s hold onto that.
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Clue 1: The 4th grader is a boy who does not like pink.
→ So 4th grader = boy → must be
Bill (only boy besides maybe... wait, names: Amanda, Bill, Cathy, Dorothy → Bill is the only boy name here).
So Bill is in 4th grade.
And he does NOT like pink.
Also, since Dorothy is 1st, and Bill is 4th, then Amanda and Cathy must be in 2nd and 3rd — in some order.
From Clue 3: Cathy is one grade ahead of Amanda.
So if Amanda is in 2nd → Cathy in 3rd → that works.
If Amanda were in 3rd → Cathy in 4th → but 4th is Bill → conflict.
So only possibility:
→ Amanda = 2nd grade
→ Cathy = 3rd grade
→ Bill = 4th grade
→ Dorothy = 1st grade (already known)
Now assign colors.
We know:
- Dorothy → Blue (Clue 2)
- 2nd grader → Red (Clue 4) → Amanda is 2nd → Amanda → Red
- Bill is 4th → does NOT like pink (Clue 1) → so Bill ≠ Pink
- Colors left: Pink and Green (since Blue and Red taken)
Children left to assign colors: Cathy and Bill.
Colors left: Pink and Green.
Bill ≠ Pink → so Bill must be Green.
Then Cathy gets Pink.
Let’s check:
- Dorothy: 1st, Blue
✔
- Amanda: 2nd, Red
✔ (matches Clue 4)
- Cathy: 3rd, Pink
✔
- Bill: 4th, Green
✔ (and he’s a boy, doesn’t like pink → yes, he likes green)
✔
All clues satisfied!
Let’s double-check Clue 3: Cathy is one grade ahead of Amanda → Cathy 3rd, Amanda 2nd → yes, one grade ahead.
Perfect.
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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.