Difficulty: Easy
Correct Answer: 1461 days
Explanation:
Introduction / Context:
An understanding of leap years and the total number of days over multiple years is fundamental in calendar arithmetic. This question asks for the total number of days in a block of 4 consecutive years, assuming the standard Gregorian pattern of three common years and one leap year within every 4-year cycle (ignoring century exceptions for this basic calculation).
Given Data / Assumptions:
Concept / Approach:
The total number of days in 4 consecutive years is simply the sum of the days in the 3 ordinary years and the 1 leap year. So we calculate 3 * 365 for the ordinary years and 1 * 366 for the leap year, then add them together to get the total.
Step-by-Step Solution:
Step 1: Compute days in the ordinary years. Each common year has 365 days. Total days from 3 common years = 3 * 365 = 1095 days. Step 2: Compute days in the leap year. A leap year has 366 days. Total days from the one leap year = 366 days. Step 3: Add all days together. Total days in 4 years = 1095 + 366 = 1461 days.
Verification / Alternative check:
You can check with an actual sequence, for example from 2017 to 2020. Years 2017, 2018, and 2019 are common years with 365 days each, and 2020 is a leap year with 366 days. Summing them: 2017 (365) + 2018 (365) + 2019 (365) + 2020 (366) = 1461 days, which confirms the formula result.
Why Other Options Are Wrong:
1460 days would correspond to 4 common years without a leap year, which contradicts the usual 4-year cycle that includes one leap year, except under special century rules not suggested here.
1462 and 1459 days would imply two leap years or fewer than the correct number of days, respectively, and do not match the standard pattern of three years of 365 days and one year of 366 days.
Common Pitfalls:
Some learners forget that the leap year adds only one extra day and mistakenly treat the entire 4-year block as 4 * 365 = 1460 days, ignoring the +1 for the leap year. Others may overcomplicate the problem by worrying about special cases like century years. Unless explicitly stated, you can safely assume the normal 4-year pattern here.
Final Answer:
The total number of days in 4 consecutive years (with one leap year) is 1461 days.
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