Question

When Santa distributes some cookies among 40 kids, four cookies are left. If he distributes the same number of cookies to the 40 kids and the father, eight cookies are left. Find the minimum number of cookies the Santa has?

• A. 1443
• B. 1476
• C. 1478
• D. 1484

Answer 1

The correct option is D 1484

If the cookies are distributed among 40 kids then 4 are left, the number of cookies is $40K_1+4$, where $K_1$ is a natural number. The same number of cookies are distributed among 41 people than 8 are left, so the number of cookies is $41K_2+8$ when $K_2$ is a natural number.
Now, $40K_1+4=41K_2+8$
$K_1=\frac{41K_2+4}{40}$
The minimum value of $K_2$ for $K_1$ to be a natural number 36. Hence, the minimum number of cookies
$=41\times 36+8=1484.$