On this February page the dates and the year have rubbed off. In that February, Saturday is the only day that occurs five times. Which of these could the year be?

A day can occur five times in February only if it has 29 days (4 weeks + 1 day), and the extra day is the day it starts on. So the year is a leap year whose February starts on a Saturday. February 2020 started on Saturday; 2024 on Thursday, 2028 on Tuesday, 2032 on Sunday.