At a certain time I looked at a 24 hour digital clock and noticed some things about the time:

1)The number in the hours section plus the number in the minutes section makes 60.

2)One of the digits in the minutes section is the square root of the other digit in the minutes section.

3)The sum of the digits in the minutes section is the number in the hours section reversed. What was the time?

Starting with the second clue, there are only 2 pairs of digits that are each other's square root, 2 and 4, and 3 and 9 (unless you count 0 and 1).
That means the minutes past the hour is one of :24, :42, :39, or :93. Obviously, 93 is too large.
Putting in the number for the hours section that makes a total of 60, we have 36:24, 18:42, and 21:39.
36, now, is greater than 23 and is too large. That leaves 18:42 and 21:39. 4 + 2 is not 81, but 9 + 3 is 12.

So, the answer is 18:42.

Interestingly, the first clue could be eliminated, since for both :24 and :42, the total of the digits is 6, or 60 when reversed, which is too large.

Posted by DJ on 2003-07-30 02:09:54