M is the largest three digit number which when divided by 6 and 5 leaves remainder 5 and 3 respectively. What will be the remainder when M is divided by 11?
Lcm of (6,5) = 30
format is "30K + constant"
Constant is remainder.
let that remainder be N.
N/6 = 5 remainder
N could be 5,11,17,23,30,..
N/5 =3 remainder
N could be 3,8,13,18,23,28,...
The very first number common in both term is 23
So N is 23 I.e a constant term
30K + 23
Largest three digit number comes when K is 32
30 (32) + 23
= 983
So, it will give 4 remainder when divide by 11 .
D is correct choice.
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