Latest TCS Aptitude Question SOLUTION: The citizens of planet nigiet are 6 fingered and have thus developed their decimal system in base 6. A certain street in nigiet contains 1000 (in base 8) buildings numbered 1 to 1

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The citizens of planet nigiet are 6 fingered and have thus developed their decimal system in base 6. A certain street in nigiet contains 1000 (in base 8) buildings numbered 1 to 1000. How many 3s are used in numbering these buildings?

a) 256 b) 54 c) 192 d) 108

Solution

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The citizens of planet nigiet are 6 fingered and have thus developed their decimal system in base 6. A certain street in nigiet contains 1000 (in base 6) buildings numbered 1 to 1000. How many 3s are used in numbering these buildings?

answer: in decimal system total no. of 3's from 1 to 1000 are 100*3 = 300
in base 6, value of 300 = 3*(6^2) + 0*(6^1) + 0*(6^0) = 108

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Asked In TCS (13 years ago)

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