Question

Dates can be written as month/day/year using integers 1 through 12 for the month, followed by the day of the month, followed by the last two digits of the year. The date 12/3/45 is an increasing sequence of consecutive digits, while 1/ 22/34, 1/2/35 and 1/2/03 are not. For how many days in one century is the date an increasing sequence of consecutive digits?

Answer 1

8

Step-by-step explanation:

1. 1 / 23 / 45;

2. 2 / 3 / 45;

3. 3 / 4 / 56;

4. 4 / 5 / 67;

5. 5 / 6 / 78;

6. 6 / 7 / 89;

7. 12 / 3 / 45; and

8. 1 / 3 / 34.

Answer 2

There are 8 days in the century that the sequence is repeated in one century.