1243, 1342, 2134, 2431, 3124, 3421, 4213, 4312 are all divisible by 11 [ 8 NOS ]

The trick here is to use the fact that the numbers divisible by 11 have a special property where in the sum of their digits in the even places = sum of their digits in the odd places. ie., for 1243 ===> 1 + 4 = 5 = 3 + 2.