Difference between revisions of "1988 AJHSME Problems/Problem 25"
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Latest revision as of 22:56, 4 July 2013
Problem
A palindrome is a whole number that reads the same forwards and backwards. If one neglects the colon, certain times displayed on a digital watch are palindromes. Three examples are: , , and . How many times during a -hour period will be palindromes?
Solution
From to , the times will be of the form . There are choices for and choices for , so there are times in this period.
From to , the minutes are already determined, so there are only times in this case.
In total, there are palindromic times.
See Also
1988 AJHSME (Problems • Answer Key • Resources) | ||
Preceded by Problem 24 |
Followed by Last Problem | |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | ||
All AJHSME/AMC 8 Problems and Solutions |
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