Find the remainder Q when 12^190 is divided by 1729 ?	Choose the correct choice from the following options: A) 12 B) 1 C) 1728 D) 1717 E) 4

Rationale: 12 ^ ( 190 ) can be written as . ( ( 12 ^ 3 ) ^ 63 ) * 12 . 12 ^ 3 when divided by 1729 gives a remainder q - 1 . so in the numerator we have - 12 . now acccording to remainder theorm the answer will be 1729 - 12 = 1717 . d
Answer: D