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Which of the following is a correct application of the divisibility rule for 11?

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Question: Which of the following is a correct application of the divisibility rule for 11?

Options:

  1. The difference between the sum of the digits in odd positions and the sum of the digits in even positions must be divisible by 11
  2. The last digit must be 1
  3. The number must be even
  4. The sum of the digits must be 11

Correct Answer: The difference between the sum of the digits in odd positions and the sum of the digits in even positions must be divisible by 11

Solution: 

For a number to be divisible by 11, the difference between the sum of the digits in odd positions and the sum of the digits in even positions must be divisible by 11.

Which of the following is a correct application of the divisibility rule for 11?

Practice Questions

Q1
Which of the following is a correct application of the divisibility rule for 11?
  1. The difference between the sum of the digits in odd positions and the sum of the digits in even positions must be divisible by 11
  2. The last digit must be 1
  3. The number must be even
  4. The sum of the digits must be 11

Questions & Step-by-Step Solutions

Which of the following is a correct application of the divisibility rule for 11?
  • Step 1: Identify the number you want to check for divisibility by 11.
  • Step 2: Write down the digits of the number in order.
  • Step 3: Separate the digits into two groups: those in odd positions and those in even positions.
  • Step 4: Add up the digits in the odd positions to get a sum.
  • Step 5: Add up the digits in the even positions to get another sum.
  • Step 6: Find the difference between the sum of the odd-position digits and the sum of the even-position digits.
  • Step 7: Check if this difference is divisible by 11 (i.e., if it can be divided by 11 without leaving a remainder).
  • Step 8: If the difference is divisible by 11, then the original number is also divisible by 11.
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