Let’s solve this logic puzzle step by step.
We have 4 children: Amanda, Bill, Cathy, Dorothy
Grades: 1st, 2nd, 3rd, 4th (each child is in a different grade)
Colors: Blue, Red, Pink, Green (each child has a different favorite color)
Clues:
1. The 4th grader is a boy who does not like pink.
→ So 4th grader = boy → must be Bill (since Amanda, Cathy, Dorothy are girls’ names; Bill is the only boy).
→ And he doesn’t like pink → so his color ≠ pink.
2. Dorothy is the youngest and likes blue.
→ Youngest = 1st grade → Dorothy is in 1st grade.
→ Dorothy’s color = blue.
3. Cathy is one grade ahead of Amanda.
→ So if Amanda is in 2nd, Cathy is in 3rd.
If Amanda is in 3rd, Cathy is in 4th — but 4th is Bill (from clue 1), so that can’t work.
If Amanda is in 1st, Cathy is in 2nd — but 1st is Dorothy (clue 2), so no.
So only possibility: Amanda is in 2nd → Cathy is in 3rd.
Wait — let’s check again:
From clue 2: Dorothy = 1st grade.
From clue 1: 4th grader = Bill (boy).
That leaves grades 2nd and 3rd for Amanda and Cathy.
Clue 3: Cathy is one grade ahead of Amanda → so Cathy must be in 3rd, Amanda in 2nd.
Perfect.
So far:
- Dorothy → 1st grade, blue (clue 2)
- Amanda → 2nd grade
- Cathy → 3rd grade
- Bill → 4th grade
Now colors:
Dorothy → blue (clue 2)
Clue 4: The 2nd grader likes red → Amanda is 2nd grader → Amanda → red
Clue 1: 4th grader (Bill) does not like pink → so Bill’s color ≠ pink
Remaining colors: pink and green (blue and red taken)
Children left without colors: Cathy (3rd) and Bill (4th)
Bill cannot have pink → so Bill must have green → then Cathy gets pink.
Check: Is there any rule against Cathy liking pink? No. Only Bill can’t like pink.
Also, all colors assigned:
- Dorothy: blue
- Amanda: red
- Cathy: pink
- Bill: green
All grades assigned:
- Dorothy: 1st
- Amanda: 2nd
- Cathy: 3rd
- Bill: 4th
Double-check clues:
1. 4th grader is a boy (Bill) who does not like pink → yes, he likes green → OK.
2. Dorothy is youngest (1st) and likes blue → yes → OK.
3. Cathy (3rd) is one grade ahead of Amanda (2nd) → yes → OK.
4. 2nd grader (Amanda) likes red → yes → OK.
Everything fits!
Final Answer:
Dorothy – 1st grade – Blue
Amanda – 2nd grade – Red
Cathy – 3rd grade – Pink
Bill – 4th grade – Green
Parent Tip: Review the logic above to help your child master the concept of printable logic puzzles for students.
