starting at 12 midnight and finishing at 12 midnight 24 hours later, if a clock chimed the correct number of?

Question

times for each hour of the day and chimed once, half past every hour, how many chimes would the clock have made? You must include midnight at both ends.

Answer 1

Hours:
12 + 1 + 2 + 3 + 4 + ... + 11 + 12 + 1 + 2 + 3 + .... + 11 + 12 = 168

Half-hours:
1 + 1 + 1 + ... + 1 (24 times) = 24

Total = 192 chimes.

P.S. To figure 1 + 2 + 3 + ... + 11 + 12, realize that you can pair 1 + 12, 2 + 11, 3 + 10, 4 + 9, etc. for a total of 6 pairings. 6 x 13 = 78. This happens twice and there is an extra 12. So the total is
12 + 78 + 78 = 168

Then add the 24 half hour chimes:
168 + 24 = 192 chimes total.

Answer 2

There are 24 hr[1to12 twice] positions.
There is an extra midnight position
With every hour you have a half hour
Number of chimes=
12+[1to12+1to12]+24
=36+2*12[1+12]/2
=36+156
=192

Answer 3

192

Answer 4

Bandf is right. 192 chimes