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Hundreds digit of a power of 25 (or 225)

The same question, asked 2 times: CDS 1 2024*, CDS 2 2025. Every wording below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    CDS 1 2024

    16
    What is the digit at the 100th100^{\text{th}} place of number (225)40(225)^{40} ?

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  2. Question 2

    CDS 2 2025

    29
    What is the digit at hundreds place of the number (25)10(25)^{10}?

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