Burt Kaliski Jr. (@modulomathy)

3/16/12 1:12 PM

#math trivia for #March16: #76 is one of the more common two-digit endings of squares between 1 and 999. What endings are more common?

This problem looks at the range of numbers from 1 to 999 rather than the usual day-number range of 1 to 366 for a leap year.

There are 31 squares in the expanded range, and they end with the following pairs of digits:

— 01, 04, 09, 16, 25, 36, 49, 64, 81

— 00, 21, 44, 69, 96, 25, 56, 89, 24, 61

— 00, 41, 84, 29, 76, 25, 76, 29, 84, 41

— 00, 61

The endings that are more common than 76 are 00 and 25.

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