Which of the following numbers is divisible by 11?
3,762
A number is divisible by 11 if the difference between the sum of digits in odd positions and the sum of digits in even positions is 0 or a multiple of 11.
For 3,762: digits 3, 7, 6, 2. Sum at odd positions \(= 3 + 6 = 9\); sum at even positions \(= 7 + 2 = 9\); difference \(= 9 - 9 = 0\), so it is divisible by 11.
For 6,184: \((6+8) - (1+4) = 14 - 5 = 9\), not a multiple of 11.
For 4,915: \((4+1) - (9+5) = 5 - 14 = -9\), not a multiple of 11.
For 7,393: \((7+9) - (3+3) = 16 - 6 = 10\), not a multiple of 11.
Hence, the number divisible by 11 is 3,762.
If the number 6484a6 is divisible by 8, then find the least value of a.