The remainder when (672 + 541 + 383 + 295 + 101 + 86) is divided by 3, is: |
0 1 2 3 |
2 |
The correct answer is Option (3) → 2 Compute each term modulo 3: 672 ≡ 0 (mod 3) since 6+7+2=15 divisible by 3 541: 5+4+1 = 10 → 10 mod 3 → 541 ≡ 1 (mod 3) 383: 3+8+3=14 → 14 mod 3 = 2 → 383 ≡ 2 (mod 3) 295: 2+9+5=16 → 16 mod 3 = 1 → 295 ≡ 1 (mod 3) 101: 1+0+1=2 → 2 mod 3 = 2 → 101 ≡ 2 (mod 3) 86: 8+6=14 → 14 mod 3 = 2 → 86 ≡ 2 (mod 3) Sum modulo 3: 0 + 1 + 2 + 1 + 2 + 2 = 8 8 mod 3 = 2 Therefore, the remainder is 2 |