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Mathematics · JEE | BINOMIAL THEOREM

हिन्दी

The remainder when \( 3^{2026} \) is divided by \( 8 \) is:

  1. A
    \( 3 \)
  2. B
    \( 7 \)
  3. C
    \( 5 \)
  4. D
    \( 1 \)
View Answer & Solution

Correct answer · Option D

\( 1 \)

Explanation

Write \( 3^{2026} = (3^2)^{1013} = 9^{1013} = (1 + 8)^{1013} \). Expanding by binomial theorem gives \( 1 + 8k \), so the remainder is 1.

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