SOLUTION: A palindromic time is one that reads the same forward as it does backward. For example 12:21 and 4:04 are palindromic times. A 12hr digital clock displays all times frm 12:00 to

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Question 40415This question is from textbook 15 Realistic Tests for the SAT Math Level 2 Subject Test
: A palindromic time is one that reads the same forward as it does backward. For example 12:21 and 4:04 are palindromic times. A 12hr digital clock displays all times frm 12:00 to 11:59. Frm 12:00 noon to 12:00 noon the next day, how many palindromic times does the digital clock display?
Answer.114
Solution please, thank you
This question is from textbook 15 Realistic Tests for the SAT Math Level 2 Subject Test

Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
12 - 1 (0nly 1 between 12:00 and 1:00, 12:21)
1 - 6 (1:01,1:11,1:21,1:31,1;41,1:51)
2 - 6 (2:02,2:12,2:22,2:32,2:42,2:52)
3 - 6 (3:03,3:13, etc)
4 - 6
5 - 6
6 - 6
7 - 6
8 - 6
9 - 6
10 - 1 (10:01)
11 - 1 (11:11)
12 - 1 (12:00 midnight)
1 - 6
2 - 6
3 - 6
4 - 6
5 - 6
6 - 6
7 - 6
8 - 6
9 - 6
10 - 1
11 - 1
12 - 0 (12:00 noon doesn't qualify)
-------
----114 total

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