If the 6-digit number N18M05 is divisible by 11, then which of the options below can give a possible correct relation between M and N?
If the 6-digit number N18M05 is divisible by 11, then which of the options below can give a possible correct relation between M and N?
यदि 6 अंकों की संख्या N18M05, 11 से विभाज्य है, तो नीचे दिए गए विकल्पों में से कौन-सा विकल्प M और N के बीच संभावित सही संबंध व्यक्त करता है?
Detailed Solution & Logic
Correct Answer:
M - N = 2
Solution:
Given number: N18M05
For divisibility by 11:
(Sum of digits at odd places − Sum of digits at even places) = multiple of 11 (including 0)
Positions:
1 2 3 4 5 6
N 1 8 M 0 5
Odd places (1,3,5):
N + 8 + 0 = N + 8
Even places (2,4,6):
1 + M + 5 = M + 6
Apply rule:
$ (N + 8) - (M + 6) = 0 $
$ N + 8 - M - 6 = 0 $
$ N - M + 2 = 0 $
$ M - N = 2 $
Final Answer: M - N = 2
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