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What is the smallest number which is exactly divisible by all the numbers from 1-11?
12
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,.
What are palindromic numbers between 1100 and 1200?
Since all the numbers in that range start with "11", there is really only one option!
How many palindromic numbers are there between 0 and 100?
There are 9 palindromic numbers between 0 and 100: 11, 22, 33, 44, 55, 66, 77, 88 and 99.
What do the numbers 11 69 and 88 all have in common?
Well, darling, those numbers all have something in common - they are all palindromic! That means they read the same forwards and backwards. So, whether you're reading them left to right or right to left, those numbers stay sassy and symmetrical.
