2025 · Q78
What is the remainder when 2¹⁰¹ is divided by 101 ?
Elementary MathematicsNumber System
- A1
- B2
- C5
- D7
Explanation
By Fermat's little theorem, 2¹⁰⁰ ≡ 1 (mod 101), so 2¹⁰¹ ≡ 2 (mod 101); the remainder is 2, option (b).
What is the remainder when 2¹⁰¹ is divided by 101 ?
Explanation
By Fermat's little theorem, 2¹⁰⁰ ≡ 1 (mod 101), so 2¹⁰¹ ≡ 2 (mod 101); the remainder is 2, option (b).