If a certain number X is divided by 82, the reminder is 5. what is the reminder when X+17 is divided by 41?
Choose one.
A) 3
B) 5
C) 6
D) 22
E) 18

Rationale: "x can be written as 82 k + 5 or x = 5 , 87,169 , etc . x + 17 = 82 k + 5 + 17 = 82 k + 22 or x + 17 = 22,104 , 186 etc . when divided by 41 , we will get the remainder 22 . d"
Answer: D