Question

Matilda always eats at least one of the following for breakfast: cereal, bread, or yogurt. On Monday, she is especially picky. If she eats cereal and bread, she also eats yogurt. If she eats bread or yogurt, she also eats cereal. She never eats both cereal and yogurt. She always eats bread or cereal. Can you say what Matilda eats on Monday?

Answer 1

Answer:

Matilda eats Cereal on Monday.

Step-by-step explanation:

Breakfast options for Matilda are: Cereal (C), Bread (B) or Yogurt (Y).

Condition 1: If she eats cereal and bread she also eats yogurt.

                     Then Matilda's breakfast combination is: C + B + Y.

Condition 2: If she eats bread or yogurt, she also eats cereal.

                     Then Matilda's breakfast combination is: C + B or C + Y.

Condition 3: She never eats both cereal and yogurt.

                   Then Matilda's breakfast combination does not include is: C + Y.

Condition 4: She always eats bread or cereal.

                  Then Matilda's breakfast combination always includes is: C or B.

If Matilda eats bread (B) then according to Condition 2 she eats cereal (C) also. And since she eats both C and B she eats yogurt (Y) also.

But according to Condition 3 Matilda never eats both cereal and yogurt.

Hence she can never have all three for breakfast.

She cannot eat bread (B) alone [according to Condition 2], Matilda is left with only one option, i.e. Cereal (C).

Thus, Matilda eats Cereal for breakfast on Monday.