Which of the following pairs of years have identical calendars?
Show answer & explanation
Correct answer: A
Explanation
Verification of Option A (1954 and 1965):
Difference in Years:
Years
Number of Leap Years: There are 2 leap years between 1954 and 1965 (1956 and 1960; note that 1964 is also a leap year). Let us calculate the odd days in detail:
1954: 1 (Ordinary year)
1955: 1
1956: 2 (Leap year)
1957: 1
1958: 1
1959: 1
1960: 2 (Leap year)
1961: 1
1962: 1
1963: 1
1964: 2 (Leap year)
Total Odd Days: 1+1+2+1+1+1+2+1+1+1+2 = 14
The number 14 is divisible by 7 (14/7 = 0; remainder is 0), and since both 1954 and 1965 are ordinary years, their calendars will be exactly identical.