Question

What is the smallest number that has a remainder of 1, 2, and 3 when divided by 2, 3, and 4, respectively? Are there more numbers that have this property? ​

Answer 1

11 and 23 are the answers.

Explanation:

Multiple of 2 increase 1 =

`3,5,7,9,11,13,15,17...`

Multiple of 3 increase 2 =

`5,8,11,14,17...`

Multiple of 4 increase 3 =

`7,11,15,19...`

Here, we can see the smallest number is 11

There are more numbers having this property such as 23.

`23 / 2 = 11...1`

`23 / 3 = 7...2`

`23 / 4 = 5...3`

Answer 2

11 is the answer.

Explanation: