If a certain number X is divided by 82, the reminder is 5. what is the reminder when X+13 is divided by 41? Select the correct option
A) 3
B) 18
C) 6
D) 16
E) 5

Rationale: "x can be written as 82 k + 5 or x = 5 , 87,169 , etc . x + 13 = 82 k + 5 + 13 = 82 k + 18 or x + 13 = 18,100 , 182 etc . when divided by 41 , we will get the remainder 18 . b"
Answer: B