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( x 82 ← remainder N = 114 ×x + 82 When cube is divided = ((114x+82)³)/19 When, 114 is divided by 19, remainder = 0 When 82 is divided by 19, remainder = 6 Now, 6³/19 = 7 remainder

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