Question #a1694

1 Answer
May 29, 2017

C. 2

Explanation:

Given: certain integer divided by #5# has a remainder #= 3#. What's the remainder when #4# times the integer is divided by #5#?

The integer can vary. For example:

Let #I = 8; " " 8/5 = 1 " "R 3#; #" " 4I = 32; " "32/5 = 6 " "R 2#

Let #I = 13; " " 13/5 = 2 " "R 3#; #" " 4I = 52; " "52/5 = 10 " "R 2#

Let #I = 18; " " 18/5 = 3 " "R 3#; #" " 4I = 72; " "72/5 = 14 " "R 2#

The integer #I# is just #(5n + 3)/5#, where #n# is a positive integer