Question

Create a logic puzzle for the given information.

The Changs, Steinbergs, Ontkeans, and Gonzaleses were winners in the All-State cooking Contest. There was a winner in each of four categories: soup, entrée, salad, and dessert. From the following clues, determine in which category each family was the winner.

A. The soups were judged before the Ontkeans' winning entry.
B. This year's contest was the first for the Steinbergs and for the winner in the dessert category.
The Changs and the winner of the soup category entered last year's contest.
C. The winning entrée took 2 hours to cook, whereas the Steinberg's entrée required no cooking at all.

Option 1: The Changs - Salad
Option 2: Steinbergs - Dessert
Option 3: Ontkeans - Soup
Option 4: Gonzaleses - Entrée

Answer 1

Using the process of elimination based on the given clues, we deduce that the Changs won in the soup category, the Steinbergs in dessert, the Ontkeans in salad, and the Gonzaleses in entrée.

Step-by-step explanation:

Logic Puzzle Solution

To solve this logic puzzle, we have to analyze the clues given and deduce the correct category each family won in the All-State cooking Contest. Here's the step-by-step reasoning:

1. The soups were judged before the Ontkeans' winning entry according to clue A, so the Ontkeans did not win the soup category.
2. The Steinbergs were first-time contestants this year, and so was the winner in the dessert category as per clue B. Therefore, the Steinbergs must have won the dessert category.
3. Since the Steinbergs won the dessert category, and the Changs entered last year's contest, they cannot be the winners of the dessert category, which eliminates them from being first-timers. Additionally, since the Changs and the soup category winner entered last year, the Changs must have won the soup category.
4. Considering clue C, the winning entrée took 2 hours to cook, but the Steinberg's entrée required no cooking. This implies the Steinbergs didn't win the entrée category.
5. With the soup and dessert categories accounted for, and the Steinbergs not winning the entrée, the only remaining category for the Steinbergs is salad. Since the Ontkeans didn't win the soup, they can't win the salad either because Steinbergs are the winners of salad.
6. As the Changs can't be the entrée winners either (because their entry did not take 2 hours to cook), the Gonzaleses are left as the only possible winners of the entrée category.
7. The Ontkeans then, by process of elimination, won the salad category, and the Changs won the soup category as mentioned earlier.

In conclusion:
The Changs won the soup category.
The Steinbergs won the dessert category.
The Ontkeans won the salad category.
The Gonzaleses won the entrée category.