Pizza Logic

Logic Level 1

I was eating with some of my friends in a pizza shop.

We each ordered different flavours of pizza, and we had different additional toppings.

Who ate the pineapple? To help you out, here are some clues:

  1. Ian ate the Hawaiian Pizza, but he did not order additional cheese.
  2. Samuel ate ham, but he didn’t order the Manager’s Choice pizza.
  3. Nathan ate the pepperoni pizza, and he ordered hotdog crust(as a topping).
  4. I ate the Vegetarian pizza, but didn’t order the pineapple.
  5. Brent ordered pepperoni as a topping, but didn’t order the Local pizza.

Clarification:

  1. All of the pizzas or toppings mentioned in the problem are the ones we have ordered.
  2. Pepperoni is a topping if mentioned, otherwise is a pizza.
  3. We only had one topping each.
  4. The pizza has nothing to do with the topping, so pepperoni is not necessarily the topping of the pepperoni pizza.
  5. The pizza you ordered is the pizza you eat.

This problem is part of Pizza Math!

Nathan Brent Ian Samuel Me

Jerome Te by Jerome Te , 22, Philippines

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5 solutions

Tomáš Hluska
Dec 18, 2018

I guessed it simply because he had the Hawaiian pizza which is with pineapple...

6 Helpful 2 Interesting 4 Brilliant 2 Confused

Oh, thanks for that! I need to tell that the type of pizza has nothing to do with the topping!

Logic might soon be just common sense!

Jerome Te - 2 years, 5 months ago

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Maybe you should also mention that the pizza you order is the pizza you are going to eat. While it seems common sense, there actually could be a difference in it (but maybe it was just me...)

Joël Ganesh - 2 years, 5 months ago

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Thanks for that! Added it already!

Jerome Te - 2 years, 5 months ago

Yeah, I suspected, but tried and it worked :)

Tomáš Hluska - 2 years, 5 months ago

That was my explanation, also!!

Margaret Lacher - 2 years, 5 months ago
Jerome Te
Dec 17, 2018

Relevant wiki: Elimination Grids

You don’t need to make a table to solve the problem. Instead, just use the following steps:

  1. Samuel ate the ham, so he didn’t eat the pineapple.
  2. Nathan ate hotdog crust, not the pineapple.
  3. Similarly, Brent ordered pepperoni, not pineapple.
  4. I stated directly in the problem that I didn’t eat the pineapple.
  5. That leaves Ian to be the eater of the pineapple.

But if you do want to use a table, you should get the following results:

  1. Ian ate the pineapple and Hawaiian pizza.
  2. Samuel ate the ham and the Local pizza.
  3. Nathan ate the pepperoni pizza and hotdog crust.
  4. I ate vegetarian pizza and additional cheese. (Or cheese only, vegetarian pizza usually doesn’t have cheese, right?)
  5. Brent ate the pepperoni(topping) and the Manager’s Choice pizza.

4 Helpful 1 Interesting 1 Brilliant 1 Confused

How exactly do you want to make a table if there is only binary information?

Tomáš Hluska - 2 years, 5 months ago

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The table would look like this:

Jerome Te - 2 years, 5 months ago

I understand, what you mean by the table, but there is no way to complete it just from the given information. Thus the only solution is, that three of the friends have specified topics, fourth one did not eat pineapple and thus it had to be the fifth one.

Tomáš Hluska - 2 years, 5 months ago

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You can match the names to the type of pizza and the toppings. It’s logic: if Ian has Hawaiian pizza and he has pineapple, then the person who has Hawaiian pizza has pineapple.

Jerome Te - 2 years, 5 months ago
Tor Park
Dec 19, 2018

I don't understand this, it's kind of confusing, as in not mentioning what Hawaiian or Managers Choice means... But I just guessed Ian because Hawaiian normally has pineapple on it.

0 Helpful 1 Interesting 0 Brilliant 0 Confused

Oh, Hawaiian and Managers Choice are both types of pizza...

Jerome Te - 2 years, 5 months ago

It's too easy, it says that Ian ate it.

0 Helpful 0 Interesting 0 Brilliant 0 Confused
Margaret Lacher
Dec 29, 2018

The puzzle says Ian ate the Hawaiian pizza, which traditionally has both ham and pineapple .

0 Helpful 0 Interesting 0 Brilliant 0 Confused

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