10.The citizens of planet nigiet are 8 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
64
54
256
Solution.Ans is 256
In base 8 digits 0-7 exist and 1000 can be represented as 1750 in base 8.
So it needs 256 no.of 3's to number from 0 to 1750 when calculated
36 people {a1, a2, …, a36} meet and shake hands in a circular fashion. In other words, there are totally 36handshakes involving the pairs, {a1, a2}, {a2, a3}, …, {a35, a36}, {a36, a1}. (still thers is matter )
ReplyDeleteanswers is Take a2 in the set now a1 and a3 have shaken hands with him.a4 has not so we take a5 in the set thus a4 and a6 have shaken hands with the set but a7 has not so we take a8...thus we leave a gap of two people and select the third person in the set. So answer is 36/3 = 12
sorryyy friends above question answer is 192 not 256 I dont know the complete procedure.If known anybody post it
ReplyDeletehi friends
ReplyDeletethere is no difference between calculating 3 for 1000 and 777(1000-1).
below 777 means any 3 digit no(we take 1 as 001)
a 3-digit no is _ _ _.
now fix 3 at single digit place means _ _ 3 - then 64 3's
now fix 3 at 8-base digit place means _ 3_ - then 64 3's
now fix 3 at 64-base digit means place 3 _ _ - then 64 3's
now all are 192 3's
and also we give base 8 for 1000 not base 10. so no need for conversion
ReplyDeletehow????????????///
ReplyDelete