Puzzles/Logic puzzles/Pizzas/Solution
Puzzles | Logic puzzles | Pizzas | Solution
Aaron - green pepper, onions and sausage
Betty - green pepper, mushrooms and onions
Charlie - mushrooms, pepperoni and sausage
Debbie - green pepper, pepperoni and sausage
Eric - mushrooms, onions and pepperoni
Reasoning[edit | edit source]
We are informed that B and D had green pepper, B and C had mushrooms, D and E had pepperoni and A and C had sausage, all marked with a Y.
| A | B | C | D | E Green Pep | | Y | | Y | Mushrooms | | Y | Y | | Onions | | | | | Pepperoni | | | | Y | Y Sausage | Y | | Y | |
We are also informed that the pairs B and D, B and C, D and E, and A and C, didn't share anything, except what is already marked with a Y. This eliminates the possibilities marked with an N.
| A | B | C | D | E Green Pep | | Y | N | Y | N Mushrooms | N | Y | Y | N | Onions | | | | | Pepperoni | | N | | Y | Y Sausage | Y | N | Y | |
Knowing everyone had 3 toppings allows us to place another Y.
| A | B | C | D | E Green Pep | | Y | N | Y | N Mushrooms | N | Y | Y | N | Onions | | Y | | | Pepperoni | | N | | Y | Y Sausage | Y | N | Y | |
And we know B didn't share with C or D.
| A | B | C | D | E Green Pep | | Y | N | Y | N Mushrooms | N | Y | Y | N | Onions | | Y | N | N | Pepperoni | | N | | Y | Y Sausage | Y | N | Y | |
Allowing us to place 2 more Ys.
| A | B | C | D | E Green Pep | | Y | N | Y | N Mushrooms | N | Y | Y | N | Onions | | Y | N | N | Pepperoni | | N | Y | Y | Y Sausage | Y | N | Y | Y |
D didn't share with E, A didn't share with C.
| A | B | C | D | E Green Pep | | Y | N | Y | N Mushrooms | N | Y | Y | N | Onions | | Y | N | N | Pepperoni | N | N | Y | Y | Y Sausage | Y | N | Y | Y | N
This allows us to place the remaining 4 Ys.
| A | B | C | D | E Green Pep | Y | Y | N | Y | N Mushrooms | N | Y | Y | N | Y Onions | Y | Y | N | N | Y Pepperoni | N | N | Y | Y | Y Sausage | Y | N | Y | Y | N
Surprisingly, no one chose green pepper, onions and pepperoni.