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

A. 18 B. 22
C. 42 D. 43

• ANS. D 43
  
  Explanation:
  1) the number of integers from 1 to 60 (both inclusive) means numbers are 6,12,18,24,30,36,42,48,54,60 (total 10 numbers)
  2) the sum of its digits is 6 means 6,15,24,33,42,51,60 (7 numbers).
  un common between 1 and 2 are 3 numbers
  3) 6 is one of the digits of the number 6,16,26,36,46,56,60 (4 un common numbers between 1, 2 and 3)
  
  numbers not connected with 6 are 60-(10+4+3)= 43
• 12 years agoHelpfull: Yes(7) No(3)