Math Kangaroo 2021 Problem 21 | Ecolier

Try this beautiful Problem based on simple Divisibility Rules appeared in Math Kangaroo (Ecolier) 2021 Problem 21.

Math Kangaroo 2021 Problem No 21 | Ecolier

A box has fewer than 50 cookies in. The cookies can be divided evenly between 2,3 , or 4 children. However, they cannot be divided evenly between 7 children because 6 more cookies would be needed. How many cookies are there in the box?

Key Concepts

Arithmetic

Divisibility

Algebra

Suggested Book | Source | Answer

Algebra by Gelfand

Math Kangaroo (Ecolier), 2021

$36$

Try with Hints

Here

The box contain less than 50 cookies.

Cookies are distributed among 2, 3 or 4 children.

So, all of the options are correct.

Now apply the second condition in the question.

They cannot be divided evenly between 7 children because 6 more cookies would be needed.

Apply the condition and check which option is satisfying the condition.


So, $36$ is the correct answer.

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