Question
Download Solution PDFWhat is the smallest number that must be added to 19487161 so that it is divisible by 11?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
What is the smallest number that must be added to 19487161 so that it is divisible by 11?
Formula used:
Divisibility Rule of 11: A number is divisible by 11 if the difference between the sum of the digits in the odd positions and the sum of the digits in the even positions is either 0 or a multiple of 11.
Calculation:
Number: 19487161
Sum of digits in odd positions: 1 + 4 + 7 + 6 = 18
Sum of digits in even positions: 9 + 8 + 1 + 1 = 19
Difference: 19 - 18 = 1
To make the number divisible by 11, we need to make the difference 0 or a multiple of 11.
⇒ The smallest number = 11 - 1 = 10
Hence, Smallest number is 10.
∴ The correct answer is option 4.
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