the citizen of planet OZ are 6 fingered and they developed the number system in base 6.A certain street in OZ has 1000 buildings and they are numbered 1 to 1000.How many no. of 3's are used?Express your answer in base 10.
a.144
b.54
c.108
d.36

• 3's in 1 to 1000 is 300
  
  Change to base 6
  3*6^2+0*6^1+0*6^0= 3*36=108
• 13 years agoHelpfull: Yes(15) No(2)
• in unit's place, the 3's are:
  3, 13, 23, 33, 43, 53
  103, 113, 123 , 133, 143, 153
  ...
  703, 713, .... 773
  => total number of 3's in unit's place is 6*6 = 36
  in 10's place (that's 8 in decimal), the 3's are:
  30, 31, 32... 35
  130, 131, ... 135
  ...
  730, 731, .... 735
  => total number of 3's in 10's place is 6*6 = 36
  in 100's place (that's 64 in decimal), the 3's are:
  300, 301, ... 305
  310, 311 ... 315
  ...
  370, 371 .... 375
  => total number of 3's in 100's place is 6*6 = 36
  thus, the total number of 3's in total is 36 + 36 + 36 = 108
  
• 13 years agoHelpfull: Yes(12) No(4)
• number of times 6 appears from 1 to 1000 = 300
  express 300 in base 6 i.e 3*6^2=108. answer is C.
• 13 years agoHelpfull: Yes(2) No(2)
• 108
• 13 years agoHelpfull: Yes(1) No(2)
• c
• 13 years agoHelpfull: Yes(1) No(2)
• 108
• 13 years agoHelpfull: Yes(1) No(3)