If a certain number X is divided by 82, the reminder is 5. what is the reminder when X+7 is divided by 41? Choose the correct answer:
A) 12
B) 5
C) 6
D) 16
E) 18

Rationale: "x can be written as 82 k + 5 or x = 5 , 87,169 , etc . when k = 0 , 1,2 etc x + 7 = 82 k + 5 + 7 = 82 k + 12 or x + 7 = 12,94 , 176 etc . k = 0 , 1,2 when divided by 41 , we will get the remainder 12 . a"
Answer: A