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Binomial Theorem question

2023 · 10 Apr · Shift 2 · Q23

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PYQ Library
JEE Main
Mathematics
Binomial Theorem
2023 · 10 Apr · Shift 2 · Q23

Binomial Theorem question

2023 · 10 Apr · Shift 2 · Q23

JEE MainMathematicsBinomial TheoremMCQ+4 / −1

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 :

A
13
B
10
C
20
D
5

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