Question

number when divided by three lose a remainder 1 when the quotient is divided by 28 leaves a remainder 1 what will be the number when the reminder when the number is divided by 6

Answer 1

let the number be  N.  let m and p be integer numbers.

  N = 3 m + 1
  m =  28 p  +  1

 N = 84 pm + 4

N = 6 * 14  * pm + 4

so the remainder when the number is divided by   6  is  4.