At a clock store, One clock strikes 24 times a day. One clock strikes 156..............Explain the logic of the strikes?

Question

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?

Answer 1

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