   Rearrange 1234 so that it is divisible by 11, how many different such possibilities exist?

+1 vote
68 views

1234 divided by 11 is not a whole number but if you rearrange the digits it is possible to find a number that divides by 11 to give a whole number. How many different ways can you find to do this? posted Aug 27, 2017

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. answer Aug 27, 2017

Similar Puzzles
+1 vote

A 9-digit number has a property that the first 'n' digits are divisible by 'n'. There is no '0' in the number and all the digits in the number are distinct. What is the number?

+1 vote

Find a way to write the digits 1 through 9 in sequence, so that the numbers determined by any two consecutive digits are divisible either by 7 or by 13.