Question 10

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?

Solution

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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