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Which of the following is a leap year?...

Which of the following is a leap year?

A

1800

B

1900

C

1700

D

2000

Text Solution

AI Generated Solution

The correct Answer is:
To determine which of the following years is a leap year, we can follow these steps: ### Step 1: Understand the rules for leap years A year is a leap year if: - It is divisible by 4. - However, if the year is a century (ending with 00), it must also be divisible by 400 to be considered a leap year. ### Step 2: Analyze the given years Let's assume we have the following years to check: 1800, 1900, 1700, and 2000. ### Step 3: Check each year for leap year status 1. **Check 1800:** - 1800 is a century year. - Check if it is divisible by 400: - 1800 ÷ 400 = 4.5 (not divisible) - Conclusion: **Not a leap year.** 2. **Check 1900:** - 1900 is also a century year. - Check if it is divisible by 400: - 1900 ÷ 400 = 4.75 (not divisible) - Conclusion: **Not a leap year.** 3. **Check 1700:** - 1700 is a century year. - Check if it is divisible by 400: - 1700 ÷ 400 = 4.25 (not divisible) - Conclusion: **Not a leap year.** 4. **Check 2000:** - 2000 is a century year. - Check if it is divisible by 400: - 2000 ÷ 400 = 5 (divisible) - Conclusion: **It is a leap year.** ### Final Conclusion Among the years checked, **2000 is the only leap year.** ---
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