How many of the integers from 1 to 88 contain the digit 4 or have the digit sum divisible by 4?
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There are 37 integers from 1 to 88 contain the digit 4 or have the digit sum divisible by 4
Solution:
The number of digits from 1 to 88 containing the digit 4 are:
4,14,24,34,40,41,42,43,44,45,46,47,48,49,54,64,74,84
These are 18 in numbers
The digit sum divisible by 4 are the one whose sum is either 4 or 8 or 12 or 16 and these are:
Sum of digits should be either 4 or 8 or 12 or 16, then the number is divisible by 4
13,17,22,26,31,35,39,40,44,48,53,57,62,66,71,75,79,80,88
These are 19
So, total number of integer are: 18 + 19 = 37
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