MCQEasyJEE Main 2023 · 10 April, Shift 2Simple Applications

Mathematics Question from JEE Main 2023 · 10 April, Shift 2

Let the number (22)2022+(2022)22\left(22\right)^{2022} + \left(2022\right)^{22} leave the remainder α\alpha when divided by 33 and β\beta when divided by 77. Then (α2+β2)\left(\alpha^2 + \beta^2\right) is equal to:

  • A

    1313

  • B

    2020

  • C

    1010

  • D

    55

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