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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?

- 12
- 24
- 30
- 36
- 48

Arithmetic

Divisibility

Algebra

Suggested Reading

Source of the Problem

Answer

Algebra by Gelfand

Math Kangaroo (Ecolier), 2021

$36$

Hint 1

Here

The box contain less than 50 cookies.

Cookies are distributed among 2, 3 or 4 children.

So, all of the options are correct.

Hint 2

Now apply the second condition in the question.

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

Hint 3

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

Hint 4

So, $36$ is the correct answer.

- Prepare for Math Kangaroo Competition with Cheenta
- Math Kangaroo (Benjamin) 2020 Problem 26 | Divisibility Rule

Content

[hide]

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?

- 12
- 24
- 30
- 36
- 48

Arithmetic

Divisibility

Algebra

Suggested Reading

Source of the Problem

Answer

Algebra by Gelfand

Math Kangaroo (Ecolier), 2021

$36$

Hint 1

Here

The box contain less than 50 cookies.

Cookies are distributed among 2, 3 or 4 children.

So, all of the options are correct.

Hint 2

Now apply the second condition in the question.

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

Hint 3

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

Hint 4

So, $36$ is the correct answer.

- Prepare for Math Kangaroo Competition with Cheenta
- Math Kangaroo (Benjamin) 2020 Problem 26 | Divisibility Rule

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