Which of the following numbers are divisible by 11?
7680794

Answer

To determine if the number 7680794 is divisible by 11, we will follow the steps for checking divisibility by 11.

### Step-by-Step Solution:

**Step 1: Identify the digits in odd and even positions.**
- The number is 7680794.
- The positions of the digits are as follows:
- 1st position: 7 (odd)
- 2nd position: 6 (even)
- 3rd position: 8 (odd)
- 4th position: 0 (even)
- 5th position: 7 (odd)
- 6th position: 9 (even)
- 7th position: 4 (odd)

**Step 2: Calculate the sum of the digits in odd positions.**
- Odd positions: 7 (1st), 8 (3rd), 7 (5th), 4 (7th)
- Sum of odd positions = 7 + 8 + 7 + 4 = 26

**Step 3: Calculate the sum of the digits in even positions.**
- Even positions: 6 (2nd), 0 (4th), 9 (6th)
- Sum of even positions = 6 + 0 + 9 = 15

**Step 4: Find the difference between the sum of odd and even positions.**
- Difference = Sum of odd positions - Sum of even positions
- Difference = 26 - 15 = 11

**Step 5: Check if the difference is 0 or a multiple of 11.**
- The difference we calculated is 11, which is a multiple of 11.

### Conclusion:
Since the difference is a multiple of 11, we conclude that the number 7680794 is divisible by 11.

---