Question

105 presents need to be packed equally in some boxes. Hence, boxes are required to pack the presents.

• A. 3
• B. 4
• C. 9

Answer 1

The correct option is A 3

Total number of presents = 105

We have to find the number of boxes needed to pack 105 presents equally.

So, we have to check the divisibility rule of 3, 4, and 5.

First, let us check if 105 is divisible by 3.

Divisibility rule of 3 is:
If the sum of all the digits of a number is divisible by 3, then the number is divisible by 3.


Hence, 105 presents can be divided equally among 3 boxes.

Now, we check if 105 is divisible by 4.

Divisibility rule of 4 is:
If the last two digits of a number is divisible by 4, then the number is divisible by 4.


Hence, 105 presents cannot be divided equally among 4 boxes.

Now, let's check if 105 is divisible by 9.

Divisibility rule of 9 is:
If the sum of all the digits of a number is divisible by 9, then the number is divisible by 9.


Hence, 105 presents cannot be divided equally among 9 boxes.

∴ 105 presents can be divided equally among 3 boxes only.