The sum of the digits in odd position minus the sum of the digits in even position is divisible by 11.
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if the difference of the sum at the alternate places is divisible by 11 then it is divisible by 11
No. For instance, 101 is not divisible by 11.
8 of the numbers less than 660 are divisible by 5 and 11 but not 3. All numbers divisible by 5 and 11 are multiples of their lcm; lcm(5, 11) = 55 All numbers divisibile by 5, 11 and 3 are multiples of their lcm; lcm(5, 11, 3) = 165 659 ÷ 55 = 11 54/55 → 11 numbers less than 660 are divisible by 5 and 11 659 ÷ 165 = 3 164/165 → 3 numbers less than 660 are divisible by 5, 11 and 3 → of the 11 numbers less than 660 divisible by 5 and 11, 3 are also divisible by 3 → 11 - 3 = 8 numbers less than 660 are divisible by 5 and 11 but not 3,.
There are 6 numbers between 1 and 70 that are divisible by 11. These numbers are: 11; 22; 33; 44; 55; 66.
12