Question : What is the smallest number which can be added to 9454351626 so that it becomes divisible by 11?
Option 1: 1
Option 2: 6
Option 3: 5
Option 4: 4
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Correct Answer: 6
Solution :
A number is divisible by 11 if the difference between the sum of the digits at even places and the sum of the digits at odd places of a number is either 0 or divisible by 11.
Now, the difference between the sums = (9 + 5 + 3 + 1 + 2 − 4 − 4 − 5 − 6 − 6) = − 5
⇒ So, the difference is 5.
So, either we have to subtract 5 or add (11 – 5) = 6 to make 9454351626 divisible by 11.
Therefore, the smallest number that can be added to 9454351626 to make it divisible by 11 is 6.
Hence, the correct answer is 6.
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