Try this beautiful Problem based on simple Divisibility Rules appeared in Math Kangaroo (Ecolier) 2021 Problem 21.
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?
Arithmetic
Divisibility
Algebra
Algebra by Gelfand
Math Kangaroo (Ecolier), 2021
$36$
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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