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Finding Other Patterns
1:11: Similar to 4:44, all digits are the same.
2:22: Another example of identical digits.
3:33: Continuing the pattern of repeating digits.
5:55: Following the same format.
11:11: A widely recognized time, often noted for its symmetry.
Beyond these straightforward examples, you can also find other interesting patterns like:
12:12: A time where the hour and minute digits repeat the same number.
2:20: The hour digit and the first digit of the minutes match.
5:05: The hour digit and the last digit of the minutes are the same.
These patterns can be fun to spot and show how even something as routine as checking the
time can reveal hidden numerical beauty.
Calendar Patterns
Certain dates stand out because of how their digits repeat or follow a particular sequence. For
example, 20/12/2012 is interesting because the digits 2, 0, 1, and 2 repeat.
This kind of pattern can be found in other dates as well:
02/10/2001: Here, the digits 2, 0, 1 repeat, but in a different order.
12/02/2001: A similar repeating pattern is seen.
10/02/2010: The digits 1, 0, 2, and 0 appear.
These dates catch our attention because of their symmetry or repetition, making them
memorable.
Question: What is the Kaprekar constant for 3-digit numbers?
A. 594 B. 495 C. 549 D. 459
Explanation
B. 495
- Start with any 3-digit number.
- Arrange the digits to form the largest possible number and the smallest possible number.
- Subtract the smallest number from the largest number.
- Repeat the steps with the new number until you reach 495.
Palindromic Dates Like 11/02/2011