Checking Divisibility by 11

To determine whether a number is divisible by 11, we can use the rule that states that a number is divisible by 11 if the difference between the sum of its digits at odd places and the sum of its digits at even places is either 0 or a multiple of 11. Let's apply this rule to the numbers in question.

Number 1: 2534
- Odd place digits: 5, 3
- Even place digits: 2, 4
- Sum of odd place digits: 5 + 3 = 8
- Sum of even place digits: 2 + 4 = 6
- Difference: 8 - 6 = 2

Since 2 is not a multiple of 11, the number 2534 is not divisible by 11.

Number 2: 7925
- Odd place digits: 7, 2
- Even place digits: 9, 5
- Sum of odd place digits: 7 + 2 = 9
- Sum of even place digits: 9 + 5 = 14
- Difference: 9 - 14 = -5

Since -5 is not a multiple of 11, the number 7925 is not divisible by 11.

In conclusion, neither of the numbers 2534 and 7925 is divisible by 11 based on the divisibility rule.