M is the largest three-digit number which divided by 6 and 5 leaves remainder 5 and 3 respectively. What will be the remainder when M is divided by 11?
Answer & explanation
Correct answer: option 4
Remainder
6 → 5
5 → 3
That number of 23
\(\frac{23}{6}\) = 5 remainder
\(\frac{23}{5}\) = 3 remainder
6, 5 → LCM → 30
30 × K + 23 = M
30 × 32 + 23 = M
M = 983
Now → \(\frac{983}{11}\) = 4 remainder