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Question

In the numeration system with base 5, counting is as follows : 1,2,3,4,10,11,12,13,14,20,____. The number whose description in the decimal system is 69, when described in the base 5 system, is a number with:

A
Two consecutive digits
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B
Two non-consecutive digits
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C
Three consecutive digits
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D
Three non-consecutive digits
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E
Four digits
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Solution

The correct option is C Three consecutive digits
69=2.52+3.5+4.1=2345 (that is, 234 in the base 5 system). The correct choice is, therefore, (c).

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