S Purkayastha Solutions for Chapter: Playing with Numbers, Exercise 2: CHECK POINT

If a number is divisible by $2$ , it must be divisible by $6$ .

If a number is divisible by $6$ , it must be divisible by $2$ and $3$ .

If a number is divisible by $9$ , it must be divisible by $3$.

If a number is divisible by $4$ , it must be divisible by $16$ .

If a number divides three numbers exactly, it must divide their sum exactly.

If a number divides the sum of two numbers exactly, it must exactly divide the number separately.

The sum of two consecutive odd numbers is always divisible by $4$ .

Without performing actual division, find the remainder, when $28735429$ is divided by $11$ .