Question
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?Solution
114)N( x 82 ā remainder N = 114 Ćx + 82 When cube is divided = ((114x+82)Ā³)/19 When, 114 is divided by 19, remainder = 0 When 82 is divided by 19, remainder = 6 Now, 6Ā³/19 = 7 remainder
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