Explanation:
Let’s solve the logic puzzle step by step using the clues and the grid.
We have 4 children: Amanda, Bill, Cathy, Dorothy
Grades: 1st, 2nd, 3rd, 4th
Colors: blue, red, pink, green
Each child has one unique grade and one unique favorite color.
The grid shows possible options (O = possible, X = not possible). But we’ll use the clues to narrow it down.
Clue 2: *Dorothy is the youngest and likes blue.*
→ Youngest = 1st grade. So Dorothy is in 1st grade.
→ Her favorite color is blue.
So:
- Dorothy → 1st grade, blue
Now look at the grid:
In the row for Dorothy, only “1st” and “Blue” have O — matches clue 2. Good.
Clue 4: *The 2nd grader likes red.*
So whoever is in 2nd grade → favorite color = red.
Clue 1: *The 4th grader is a boy who does not like pink.*
Children: Amanda, Bill, Cathy, Dorothy
We know Dorothy is 1st grade → not 4th.
Bill is traditionally a boy’s name — likely the boy. So Bill is probably the 4th grader.
Also, he does
not like pink.
Clue 3: *Cathy is one grade ahead of Amanda.*
So 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
Amanda cannot be 4th (no grade ahead).
But Dorothy is already 1st grade → Amanda can’t be 1st (only one per grade).
So Amanda ≠ 1st
→ Possible:
- Amanda = 2nd → Cathy = 3rd
- Amanda = 3rd → Cathy = 4th
Now let’s try assigning grades.
We know:
- Dorothy = 1st
So remaining grades: 2nd, 3rd, 4th for Amanda, Bill, Cathy.
Try option A: Amanda = 2nd → Cathy = 3rd
Then Bill = 4th
Check clue 1: 4th grader is a boy who doesn’t like pink → Bill = 4th, boy, not pink → OK so far.
Clue 4: 2nd grader likes red → Amanda = 2nd → Amanda likes red.
Now check colors:
From grid:
- Amanda: possible colors are red and pink (O under Red and Pink) — but if she’s 2nd grader, she must like red (clue 4), so Amanda → red
✔
- That leaves pink, blue, green for others. But Dorothy already has blue (clue 2), so blue taken.
Remaining colors: pink, green.
Cathy = 3rd grade. From grid, Cathy’s possible colors: pink (O under Pink), others are X. So Cathy → pink.
Bill = 4th grade. From grid, Bill’s possible colors: green (O under Green), others X. So Bill → green.
Check clue 1 again: 4th grader (Bill) does NOT like pink → he likes green → OK.
Now verify all colors are unique:
- Dorothy: blue
- Amanda: red
- Cathy: pink
- Bill: green
✔ All 4 colors used once.
Grades:
- Dorothy: 1st
- Amanda: 2nd
- Cathy: 3rd
- Bill: 4th
✔ All grades used once.
Clue 3: Cathy is one grade ahead of Amanda → 3rd is one ahead of 2nd →
✔
Clue 4: 2nd grader (Amanda) likes red →
✔
Clue 2: Dorothy youngest (1st) and likes blue →
✔
Clue 1: 4th grader (Bill, boy) does not like pink → he likes green →
✔
Everything fits!
Final Answer:
Dorothy is in 1st grade and likes blue; Amanda is in 2nd grade and likes red; Cathy is in 3rd grade and likes pink; Bill is in 4th grade and likes green.
Parent Tip: Review the logic above to help your child master the concept of printable logic puzzles brain teasers.