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Which of the following is a rule for determining if a number is divisible by 11?

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Question: Which of the following is a rule for determining if a number is divisible by 11?

Options:

  1. The sum of the digits is even
  2. The difference between the sum of the digits in odd positions and the sum of the digits in even positions is 0 or a multiple of 11
  3. It ends in 1
  4. It is a multiple of 10

Correct Answer: The difference between the sum of the digits in odd positions and the sum of the digits in even positions is 0 or a multiple of 11

Solution: 

A number is divisible by 11 if the difference between the sum of the digits in odd positions and the sum of the digits in even positions is 0 or a multiple of 11.

Which of the following is a rule for determining if a number is divisible by 11?

Practice Questions

Q1
Which of the following is a rule for determining if a number is divisible by 11?
  1. The sum of the digits is even
  2. The difference between the sum of the digits in odd positions and the sum of the digits in even positions is 0 or a multiple of 11
  3. It ends in 1
  4. It is a multiple of 10

Questions & Step-by-Step Solutions

Which of the following is a rule for determining if a number is divisible by 11?
  • Step 1: Write down the number you want to check for divisibility by 11.
  • Step 2: Identify the positions of each digit in the number, starting from the right. Odd positions are 1st, 3rd, 5th, etc., and even positions are 2nd, 4th, 6th, etc.
  • Step 3: Add up all the digits that are in odd positions. This gives you the 'sum of odd-position digits.'
  • Step 4: Add up all the digits that are in even positions. This gives you the 'sum of even-position digits.'
  • Step 5: Subtract the sum of the even-position digits from the sum of the odd-position digits. This gives you a 'difference.'
  • Step 6: Check if the difference is 0 or a multiple of 11 (like 11, 22, -11, etc.). If it is, then the number is divisible by 11.
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