Write a digit in the blank space so that the number formed is divisible by 11-
A. 92 389
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Answer:
Let suppose missing digit = x
Calculate the sum of the digits at odd places = 9 + 3 + 2 = 14
Calculate the sum of the digits at even places = 8+ x + 9 = 17 + x
Difference = 17 + x – 14 = 3 + x
For a number to be divisible by 11, this difference should be 0 or a multiplier of 11.
If 3 + x = 0, then
x = -3
But the number cannot be negative.
The closest multiplier of 11, which is near to 3 is taken. This is 11 itself.
3 + x = 11
x = 8
Therefore, the required digit is 8.
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