Question

How many 4 digit numbers divisible by 11 are not palindromes?

Answer 1

Answer:

Step-by-step explanation:

Hi

1001 is divisible by 11, as is 110. Therefore any 4-digit palindrome is necessarily divisible by 11. The smallest 4-digit number divisible by 11 is 1001; the largest is 9999. There are therefore 819 altogether - the first one plus 1/11 of the remaining 8998. As for palindromes, we have nine choices for the first digit (0 won't do) and ten choices for the second. The first and second digits being set, the third and fourth are determined. Thus there are 90 palindromes, all divisible by 11. The number of non-palindromes divisible by 11 is 819-90=729.

Thanks

Jay hind

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