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The citizens of planet nigiet are 6 fingered and have thus developed their decimal system in base 8. A certain street in nigiet contains 1000 (in base 8) buildings numbered 1 to 1000. How many 3s are used in numbering these buildings?
192
54
64
256
Read Solution (Total 5)
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- Consider 3 in one's place. The possible numbers are
3,13,23....,73
103,113...,173....
703,713...773
i.e 8*8=64 times.
Similarly consider 10's place
30,31,31...37
130,131,...137....
730,731...737
Again 8*8=64
Now to hundred's place
300,301...307....
370,371,...377
Again 8*8=64
so total 64+64+64=192
so a????
- 13 years agoHelpfull: Yes(24) No(3)
- for this type of questions answer will be always 3n^2
so 3(8)^2=192 - 12 years agoHelpfull: Yes(9) No(3)
- ans:192
3*8*8 - 13 years agoHelpfull: Yes(6) No(3)
- convert 1000 into base 8 form
i.e 512
No of 3s=512/8=64 - 13 years agoHelpfull: Yes(1) No(34)
- first calculate no.of 3 in 1 to 1000(on base 10)...
i.e. 300
now convert 300 into base 8... 8*2+0+0=64 answer - 13 years agoHelpfull: Yes(0) No(30)
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