Interview Preparation Exam > Interview Preparation Notes > Puzzles for Interview > Last Palindrome Date Before 10/02/2001
Last Palindrome Date Before 10/02/2001 | Puzzles for Interview - Interview Preparation PDF Download
| Table of contents |
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| Introduction |
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| Determining the Year |
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| Looking at the 1300s |
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| Checking 1390 |
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| The Correct Date |
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| Conclusion |
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Introduction
In 2001, on October 2, the date in MMDDYYYY format was a palindrome, meaning it reads the same forwards as backwards - "10022001". But what was the last palindrome date before this?
Determining the Year
Since one year can only have one palindrome date, the year for the last palindrome date must be before 2001. We can rule out any year in the 1900s because they would result in a day of 91. The same goes for years in the 1800s down to the 1400s.
Looking at the 1300s
The last palindrome date must be in a year in the 1300s. At first glance, the 12th month seems like a good place to start, with the latest date being 1321. However, we need to find the maximum year in the 1300s with a valid date.
Checking 1390
Let's consider the year 1390. The date would be 09/31, but is this a valid date? Unfortunately, no - September only has 30 days. Therefore, the last palindrome date must be before September.
The Correct Date
The latest date before September in the 1300s with a valid day is August 31st. Therefore, the last palindrome date before October 2, 2001 was 08/31/1380.
Conclusion
By analyzing the number of days in each month and the years in different centuries, we were able to determine the last palindrome date before October 2, 2001.
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Nov 24, 2024 Last updated |
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