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Are all palindromic numbers divisible by 11?
No. For instance, 101 is not divisible by 11.
Divisibility rule of 11?
if the difference of the sum at the alternate places is divisible by 11 then it is divisible by 11
How many natural numbers below 660 are divisible by 5 and 11 but not by 3?
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,.
How many palindromes between 1 and 1000 are divisible by 11?
There are 17 palindromes between 1 and 1000 that are divisible by 11
Is 121 divisible by 11?
Yes.
