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
• B. Two non-consecutive digits
• C. Three consecutive digits
• D. Three non-consecutive digits
• E. Four digits

Answer 1

The correct option is C Three consecutive digits

$69={2.5}^2+3.5+4.1={234}_5$ (that is, 234 in the base 5 system). The correct choice is, therefore, (c).