There is a new pizza place in town called Pick-A-Pizza. They have five wheels th

Question

There is a new pizza place in town called Pick-A-Pizza. They have five wheels that, for just a few dollars, you can spin to decide the pizza chef, crust, cheese, meat topping, and veggie topping. When the wheels stop spinning, you have your pizza order! There have only been five customers so far, and each time, a different chef, a different crust (crisp, Greek, Sicilian, thin, or whole wheat), a different cheese (Gorgonzola, mozzarella, Parmesan, provolone, or Romano), a different meat topping (bacon, chicken, meatball, pepperoni, or sausage), and a different veggie topping (broccoli, mushrooms, olives, onions, or peppers) have been chosen. From the information provided, determine the crust, cheese, meat, and veggie toppings on the pizza made by each chef. 1. The pizza topped with onions (which wasn't made by Nunzio) didn't have a Greek crust. Alfredo's pizza didn't have a whole wheat crust and wasn't topped with pepperoni. No pizza had both olives and mozzarella. 2. Mario didn't make the bacon pizza (whose crust was neither crisp nor thin). The sausage-topped pizza (which didn't have a whole wheat crust) didn't include peppers. Luigi's pizza (which didn't have a crisp crust) wasn't topped with broccoli. 3. Alfredo's pizza (which didn't include chicken) didn't have a Sicilian crust. Neither the pizza with a whole wheat crust (which wasn't topped with onions) nor Nunzio's pizza was topped with provolone cheese. Neither the pie topped with broccoli nor the pepperoni pizza was the one that had a crisp crust. 4. Neither Giuseppe's pizza nor the sausage pizza was the one topped with onions. The Sicilian pizza (which wasn't Luigi's) wasn't topped with peppers. Alfredo's pizza (which didn't include olives) wasn't topped with provolone cheese. 5. Mario didn't make the pepperoni pizza. The sausage pizza (which wasn't made by Nunzio) wasn't topped with mushrooms. The broccoli pizza was neither the one with a thin crust nor the one topped with mozzarella. 6. The meatball pizza (which wasn't topped with onions) didn't have a crisp crust. The olive pizza wasn't topped with Romano. Luigi's pizza (which didn't have a thin crust) wasn't topped with provolone. 7. The pizza with a Greek crust wasn't topped with broccoli. The bacon pizza had neither Parmesan nor Romano cheeses. There were no peppers on the thin crust pizza.

Explanation / Answer

The correct answer is given below in the table

Reason: It is given in the Clue 2 that Luigi's hasn't used the crisp crust, in clue 4 he hasn't used Sicilan and clue 6 he hasn't used thin, so there are only two options left for luigi i.e. greek or whole wheat but in the hints it is given that both greek and whole wheat crust can't have onions hence Luigi haven't used onions.

Now there are only two contenders left for onions i.e. Alfredo and Mario but Alfredo can't have onion as topping because it will lead to contradiction, hence Mario must have used onions

Alfredo Thin Romano Meat Ball Mushrooms Giuseppe Whole Wheat Mozzarella Pepperonis Peppers Luigi Greek Parmesan Sausage Olives Mario Crisp Provolone Chicken Onions Nunzio Sicilan Gorgonzola Bacon Brocolli

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