When a number is divided by 114, remainder is 82. What will be the remainder when the cube of the number is divided by 19?
114)N( 
82 
remainder N = 114 
+ 82 When cube is divided = (114x+82)/19 When, 114 is divided by 19, remainder = 0 When 82 is divided by 19, remainder = 6 Now, 
= 7 remainder
