What is the number of selections of 10 consecutive objects in clockwise direction out of 12 objects arranged in a circle?

If today is Sunday, then which day is it exactly on 1010 th day?

There are three traffic signals. Each signal changes colour from green to red and then from red to green. The first signal takes 25 seconds, the second signal takes 39 seconds and the third signal takes 60 seconds to change the colour from green to red. The durations for green and red colours are same. At 2∶00 p.m, they together turn green. At what time will they change to green next, simultaneously?

40 children are standing in a circle and one of them (say child-1) has a ring. The ring is passed clockwise. Child-1 passes on to child-2, child-2 passes on to child-4, child-4 passes on to child-7 and so on. After how many such changes (including child-1) will the ring be in the hands of child-1 again?