Let’s solve this logic puzzle step by step.
We have 4 children: Amanda, Bill, Cathy, Dorothy
They are in grades: 1st, 2nd, 3rd, 4th (each one different)
Favorite colors: blue, red, pink, green (each one different)
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 1: Use Clue 2 — “Dorothy is the youngest and likes blue.”
Youngest = 1st grade → So Dorothy is in 1st grade and her favorite color is blue.
So we can fill:
- Dorothy → 1st grade, Blue
Step 2: Use Clue 4 — “The 2nd grader likes red.”
So whoever is in 2nd grade → favorite color is Red.
Step 3: Use Clue 1 — “The 4th grader is a boy who does not like pink.”
Boys among the kids: Bill (since Amanda, Cathy, Dorothy are typically girls’ names — and clue says “a boy”, so likely Bill).
Also, 4th grader ≠ pink.
So 4th grader = Bill, and his color ≠ pink.
Step 4: Use 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 → But 1st is taken by Dorothy → invalid.
- Amanda 2nd → Cathy 3rd → possible?
- Amanda 3rd → Cathy 4th → possible?
But remember: 2nd grader likes red (Clue 4), and Dorothy is 1st with blue.
Try Amanda = 2nd → then Cathy = 3rd.
Then remaining grades: 4th must be Bill (from clue 1). That fits!
So let’s assign:
Grades:
- 1st: Dorothy
- 2nd: Amanda
- 3rd: Cathy
- 4th: Bill
Now check colors.
From clue 2: Dorothy → blue
✔
From clue 4: 2nd grader (Amanda) → red
✔
From clue 1: 4th grader (Bill) → not pink → so he could be green or... wait, colors left: pink, green (blue and red taken).
Colors assigned so far:
- Dorothy: blue
- Amanda: red
Left: pink, green
Bill (4th) ≠ pink → so Bill must be green.
Then only color left for Cathy (3rd) is pink.
Check clue 1 again: 4th grader (Bill) is a boy who does not like pink → yes, he likes green → OK.
All clues satisfied?
Clue 1: 4th grader = Bill (boy), not pink → he’s green → ✔️
Clue 2: Dorothy = youngest (1st), likes blue → ✔️
Clue 3: Cathy (3rd) is one grade ahead of Amanda (2nd) → ✔️
Clue 4: 2nd grader (Amanda) likes red → ✔️
Perfect.
Final assignments:
- Amanda: 2nd grade, Red
- Bill: 4th grade, Green
- Cathy: 3rd grade, Pink
- Dorothy: 1st grade, Blue
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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 games for middle school.