1960 AMC 12 Question 16 - thichhoctoan.com

Question 16

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

two consecutive digits
two non-consecutive digits
three consecutive digits
three non-consecutive digits
four digits