JEE Main202117 Mar 2021Morning ShiftMathematicsBinomial TheoremActual

If ( 2021 ) 3762 is divided by 17 , then the remainder is _______.

Correct answer

Step-by-step solution

( 2023 - 2 ) 3762 = 2023 k 1 + 2 3762 = 17 k 2 + 2 3762 (as 2023 = 17 × 17 × 9 ) = 17 k 2 + 4 × 16 940 = 17 k 2 + 4 × ( 17 - 1 ) 940 = 17 k 2 + 4 17 k 3 + 1 = 17 k + 4 ⇒ remainder = 4

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