Question

Mr. X, a mathematician, defines a number as 'connected with 6 if it is divisible by 6 or if the sum of its digits is 6, or if 6 is one of the digits of the number. Other numbers are all 'not connected with 6'. As per this definition, the number of integers from 1 to 60 (both inclusive) which are not connected with 6 is

Answer 1

1,2,3,4,5,7,8,9,10,11,13,14,17,19,20,21,22,23,25,27,28,29,31,32,34,35,37,38,39,40,41,43,44,45,47,49,50,52,53,57,58,59 are numbers not connected with 6.
The number connected with 6 are 6,12,15,16,18,24,26,30,33,36,42,46,48,51,54,55,56,60.
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