Which of the following numbers is divisible by 11?
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → 4832718
A number is divisible by 11 when the difference between the sum of its digits in the odd places and the sum of its digits in the even places, counted from the right, is 0 or a multiple of 11.
Option (1) 4832718 — odd places \(8+7+3+4=22\), even places \(1+2+8=11\); the difference is 11, so it is divisible by 11.
Option (2) 4823718 — odd places \(8+7+2+4=21\), even places \(1+3+8=12\); the difference 9 is not a multiple of 11.
Option (3) 8423718 — odd places \(8+7+2+8=25\), even places \(1+3+4=8\); the difference 17 is not a multiple of 11.
Option (4) 8432718 — odd places \(8+7+3+8=26\), even places \(1+2+4=7\); the difference 19 is not a multiple of 11.