# Which Pair of Cookie Types Could Each Be Eaten by at Least Three Different People? - Logical Reasoning

MCQ

The question is based on a set of conditions. Choose the response that most accurately and completely answer the question.

At the snack café at a party, Ali, Bina, Champak and Diya are eating cookies. There are five kinds of cookies to choose from – chocolate chip cookies, oatmeal cookies, sugar cookies, peanut butter cookies and raisin cookies. Each of these four people eats at least two kinds of cookies. Their choices are governed by the following rules:

At most two of them eat oatmeal cookies
At least two of them eat sugar cookies
Ali does not eat any sugar cookies
Bina and Champak do not eat the same type of cookies Bina eats chocolate chip cookies
Champak eats sugar cookies
No one eats both raisin cookies and sugar cookies
If someone eats raisin cookies, they also eat peanut butter cookies

Which pair of cookie types could each be eaten by at least three different people?

#### Options

• Chocolate chip and oatmeal

• Oatmeal and peanut butter

• Chocolate chip and peanut butter

• Oatmeal and sugar

#### Solution

Chocolate chip and peanut butter

Explanation:

After satisfying all the given conditions, we will get the following table.

 Persons Cookies Chocolate Oatmeal Sugar Peanut Raisin Ali × Bina √ × Champak × √ × Diya √ ×

At most two people eat oatmeal cookies, therefore none of the options first, second and fourth are true.  therefore Only chocolate chip and peanut butter cookies could be eaten by at least three different people.

Concept: Problem Solving Ability (Entrance Exam)
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