How many 3- digit numbers in base 10 are there which can be expressed using 3 digits in base 9 as well as in base 11 ?*[I don't know the OA] [Please post your approach as well]

1) 580
2) 608
3) 609
4) 720
5) None of these

• maximum three digit number in base 9=888
  decimal equivalent of this is 728
  minimum three digit no in base 11 is 100
  decimal equivalent of this =121
  so from 121 to 728 are three digit number which can be expressed in three digit by both 11 and 3 base...
• 11 years agoHelpfull: Yes(0) No(2)