When the positive integer z is divided by 9, the remainder is 5. What is the remainder when 3z is divided by 9? Choose the correct choice: A) 0 B) 1 C) 3 D) 4 E) 6
Lets take the number as z   when x is divided by 9 the remainder is 5 hence z can be written as   z=9k +5   Multiplying by 3 will give   3z = 27k + 15   we can also write   3z = 27k + 9 + 6   Now 27k and 9 are divisible by 9 leaving the remainder as 6 hence 6 is the answer.
<result>E</result>
When the positive integer z is divided by 9, the remainder is 5. What is the remainder when 3z is divided by 9?