Question

The citizens of planet Oz are 4 fingered and thus have developed a number system in base 4. A certain street in Oz contains 100 buildings numbered from 1 to 100. How many 1's are used in numbering these buildings? Express your answer in base 10.

A. 5
B. 8
C. 4
D. 12

Explanation

in the question they have mentioned it as "base 4", so we should take numbers from from 0 to 4, so take the number series as:
0,1,2,3,4,
11,12,13,14,
21,22,23,24,
31,32,33,34,
41,42,43,44, hence in abv series ter are 8 2s.
(since the base is 4 consider the number series only till 40's.
if base 8 then consider till 80's and so on........)
or the question can also be solved by using formula.... 2*n ==> 2*4=8


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