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

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

Solution

(2023-2)3762=2023k1+23762

=17k2+23762 (as2023=17×17×9)

=17k2+4×16940

=17k2+4×(17-1)940

=17k2+417k3+1

=17k+4⇒remainder=4

Asked in: JEE Main 2021 (17 Mar Shift 1)

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