Beach Day by Rodger Bliss
October 2022
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Three Digits

How many times during the course of a complete day does a digital clock display a time that has three of the same digit?

 

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20 guesses to Three Digits


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  • Dude

    Not even close.

    Keep trying.

  • G

    30 forgot one then am&pm

  • Dude

    No to both.

    Keep trying.

  • 6 times a day 12 1 2

  • Roolstar

    2 types of hours during a 24 hour day (and in a 24 hour format digital clock – NO AM-PM with 01:00 format style):

    Group A – The hours with 2 equal hour digits: 00:xx 11:xx and 22:xx (3 possibilities)
    The clock shows 3 same digits:
    6 times every 10 minutes (every time the minute digits equals that of the hour)
    + 9 times during the 10 minutes where the minutes’ tens digit equals to the hour (excluding 1 already counted with the 6 times before)
    ex for 11:xx
    => 11:01 – 11:11 – 11:21 – 11:31 – 11:41 – 11:51 (6 times)
    and 11:10 – 11:12 – 11:13 – 11:14 – 11:15 – 11:16 – 11:17 – 11:18 – 11:19 (9 times) 11:11 Is already counted

    So in all, group A gets us 15 x 3 = 45 times

    Group B – The hours with different hour digits (01:xx 02:xx …. 23:xx) (21 possibilities)
    The clock shows 3 same digits only twice every hour: when the minutes digits are the same as one of the hour digits
    ex for 12:xx
    => 12:11 and 12:22

    So in all group B gets us 2 x 21 = 42 times

    My answer will then be:

    a clock will display AT LEAST 3 same digits 87 times in a day for a digital clock with 2 digit hour in a 24 hours mode
    and
    a clock will display EXACTLY 3 same digits 84 times in a day for a digital clock with 2 digit hour in a 24 hours mode (excluding 00:00 – 11:11 and 22:22)

    Other modes can be deduced by the same logic (I mean with AM-PM clocks or ones with the format 1:43…

    For the 1:43 format style (still no AM-PM) the number of times would be 64 times for the AT LEAST 3 digits
    and 62 times for the EXACTLY 3 digits condition

    Very sorry for the long post, did the best I can to cover all possibilities

  • Dude

    Very elaborate, but not the answer we were looking for.

    Keep trying.

  • serrano

    No wait 14

  • Dude

    LOL Serrano, make up your mind … but no!

  • Dude

    No, it’s not 13. List your answers please.

  • Roolstar

    Could you please specify the clock format?

    01:00 or 1:00?
    11:00 PM or 23:00?

  • Dude

    1:00 am and 11:00pm

  • Roolstar

    In that case 24 times

    From 1:00 to 5:00 => 5 times (1:11 – 2:22 – 3:33 – 4:44 – 5:55)
    From 6:00 to 9:00 => Never
    During 10:00 => 2 times (10:00 – 10:11)
    During 11:00 => 15 times (in my pervious post)
    During 12:00 => 2 times (12:11 – 12:22)

    Total = 12 for half day
    24 times in a whole day

  • LP3

    Please post the answer, I need to know this so bad.

  • LP3

    PLEASE HELP I MUST KNOW THE ANSWER IS IT 48?!?!?!