Question
If the 6-digit number '5a1897' is divisible by '11',
determine the value of 'a'.Solution
ATQ,
A number is divisible by 11 if difference between the sum of digits at odd places and the sum of the digits at even places is either zero or divisible by 11. (We can count from either side). So, sum of digits at odd places (Counting from right to left) = 7 + 8 +a = 15 + a And, sum of digits at even places = 9 + 1 + 5 = 15 So, required difference = 15 + a β 15 = a So, βaβ must be either β0β or a multiple of β11β. But since only β0β is in the options. So, βaβ must be 0
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