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Question

In a country, all numbers are represented with the help of 3 alphabets, a, b & c. 15 is written as abc; 6 is written as bc; 60 is written as bcbc. How would 17 be written in that country?


A

abb

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B

bab

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C

baa

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D

aba

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Solution

The correct option is A

abb


If only 3 digits are involved, the system has to be in base 3 with the digits 0,1,2. We can confirm the base using the examples provided.

Thus, a=1 ,b=2 and c=0 (you can reconfirm using the other examples as well)

17 in base 3 = = abb.


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