2021 · Q96
What is the remainder when 27²⁷ − 15²⁷ is divided by 6?
Elementary MathematicsNumber System
- A0
- B1
- C3
- D4
Explanation
27 ≡ 3 and 15 ≡ 3 (mod 6), so 27²⁷ − 15²⁷ ≡ 3²⁷ − 3²⁷ = 0 (mod 6). The remainder is 0. Hence option A.
What is the remainder when 27²⁷ − 15²⁷ is divided by 6?
Explanation
27 ≡ 3 and 15 ≡ 3 (mod 6), so 27²⁷ − 15²⁷ ≡ 3²⁷ − 3²⁷ = 0 (mod 6). The remainder is 0. Hence option A.