Question

A positive number n when divided by 35 gives remainder 3 what will be the remainder when this number is divided by 7

Answer 1

3 will be remainder.

Answer 2

it gives same reminder
i.e. reminder =3

by hit and trial method

long method
n when divided by 35 gives remainder 3

i.e. n=35q+3
n=7(5q) + 3

so when divided by 7
quotient become 5 times

and reminder remains the same