Question

A positive integer when divided by 88gives the remainder 61.what will be the remainder when the same number is divided by 11?

Answer 1

Answer:

Step-by-step explanation:

1.    Let "n" be that integer number.
2. We are given that  (n-61) is divisible by 88.
3. Hence,  (n-61) is divisible by 11.
4. It is the same as to say that ((n-55)-6) is divisible by 11.     (*)
5. Since 55 is divisible by 11, (*) implies that (n-6) is divisible by 11.
6. It means that the number n gives the remainder 6 when is divided by 11.