Let the number … leave the remainder … when divided by 3 and … when divided by 7. Then … is equal to :

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Binomial Theorem

JEE Main 2023 · 10 Apr, Evening shift · Q2900

MathematicsMedium64×since 2002Q2900

Let the number

(22)^{2022}+(2022)^{22}

leave the remainder

\alpha

when divided by 3 and

\beta

when divided by 7. Then

\left(\alpha^{2}+\beta^{2}\right)

is equal to :

JEE Main 2023 · 10 Apr, Evening shift · Q2900

MathematicsMedium64×since 2002Q2900

Let the number

(22)^{2022}+(2022)^{22}

leave the remainder

\alpha

when divided by 3 and

\beta

when divided by 7. Then

\left(\alpha^{2}+\beta^{2}\right)

is equal to :