Difficulty: Medium
Correct Answer: 2036
Explanation:
Introduction / Context:
Identical calendars require identical leap/common status and matching weekday alignment for every month. 2008 is a leap year starting on Tuesday. We must find a future year whose entire calendar matches.
Given Data / Assumptions:
Concept / Approach:
In the Gregorian system, the full calendar pattern for a leap year typically repeats every 28 years unless century rules interfere. Thus 2008 + 28 = 2036 is the first match.
Step-by-Step Solution:
1) Verify that 2036 is a leap year and that Jan 1 weekday alignment creates the same monthly layout as 2008.2) Month-by-month comparison confirms 2036 mirrors 2008.
Verification / Alternative check:
Comparing monthly calendars or using a repetition rule (28-year cycle for leap years not crossing century anomalies) confirms 2036.
Why Other Options Are Wrong:
2016, 2020 → leap years but different starting weekdays; 2017/2019 → common years, cannot match a leap-year layout.
Common Pitfalls:
Assuming any leap year within 8 years matches; the correct full repeat is 28 years (barring special century cases).
Final Answer:
2036
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