At a clock store, One clock strikes 24 times a day. One clock strikes 156 times a day. One clock strikes 180 times a day. One clock strikes 228 times a day.
All clocks are in the order.
Explain the logic of the strikes?
24 times ===> 1 strike per each hour 156 times ===> 2*( 1 + 2 + 3 + ..... 12) = 2*(12*13/2) = 156 ===> Strikes the number of times equal to what hour it is 180 times ===> same as above + strikes once every half an hour = 156 + 24 (once every half an hour mark of every hour) = 180 228 times ===> same as above + 2 extra strikes per hour for every 15 minute and 45 minute mark = 180 + (24*2) = 228
On a regular 12-hour digital clock how many times would the same three digits in a row be displayed (e.g. 1:11,11:12,12:22) in one day?
How many times do the hands of a clock overlap in a day? What are the times? (round to the nearest second)
(The hands of a clock are the minute and hour hands, and a day starts at midnight).
