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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?

  • 12
  • 24
  • 30
  • 36
  • 48

Key Concepts


Arithmetic

Divisibility

Algebra

Suggested Book | Source | Answer


Algebra by Gelfand

Math Kangaroo (Ecolier), 2021

$36$

Try with Hints


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.

Subscribe to Cheenta at Youtube


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?

  • 12
  • 24
  • 30
  • 36
  • 48

Key Concepts


Arithmetic

Divisibility

Algebra

Suggested Book | Source | Answer


Algebra by Gelfand

Math Kangaroo (Ecolier), 2021

$36$

Try with Hints


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.

Subscribe to Cheenta at Youtube


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