If the 6-digit number N00M49 is divisible by 11, then which of the options below can give a possible correct relation between M and N?

Correct option is B

Given:

6-digit number N00M49 is divisible by 11.

Concept Used:
Divisibility rule of 11:
The difference between the sum of digits in the odd places and the sum of digits in the even places must be 0 or a multiple of 11.

Solution:
Odd places:  sum =  N + 0 + 4 = N + 4.
Even places: sum = 0 + M + 9 = M + 9.

Required: (N$$+4) - (M+9) = 0,\ \pm 11,\ \pm 22,\dots$$​​

So, N$$- M - 5 = 0,\ \pm 11,\ \pm 22,\dots$$​​

Thus only feasible cases:

N - M - 5 = 0 $$\implies$$​  M - N = -5

N - M - 5 = -11 $$\implies$$​ M - N = 6