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

Divisible by 6:
6,12,18,24,30,36,42,48,54,60 = 10 numbers

6 is one of the digit:
6,16,26,36,46,56,60 = 7 numbers

sum is six
60, 15,51,24,42,33,06 = 7 numbers

total = 24-2(6 is included 3 times) - 2(60 is 3 times) -1(24 is 2 times) -1(36 s 2 times) -1(42 is two times)
=17

Answer 2

Step-by-step explanation:

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