CUET Preparation Today
The least non-negative integer to be added to $64×65 × 66$ so that it is divisible by 67 is : |
60 65 61 62 |
61 |
The correct answer is Option (3) → 61 $64≡-3(mod\,67)$ $65≡-2(mod\,67)$ $66≡-1(mod\,67)$ $(-3)×(-2)×(-1)≡(-6)mod\,67$ $-6≡61(mod\,67)$ $⇒61+k≡0(mod\,67)$ $∴k=61$ |
