There is a 45 cm line marked at each centimeter and an insect is placed at every centimeter. 9 frogs are trained to jump a constant distance. The first one jumps 2 cm in every leap, the second one jumps 3 cm and so on until the 9th one jumps 10 cm in every leap and they eat any insect that is available at that spot. If all of them start from start line and finish the entire 45 cm, how many insects were still left after the race was over?
Choose the correct choice from the following:
A) 0
B) 4
C) 6
D) 7
E) 10
Only the prime numbers greater than 10 and less than 45 were left.   That is 11, 13, 17, 19, 23, 29, 31, 37, 41, and 43.   The total is 10.   The answer is 10.
<result>E</result>
There is a 45 cm line marked at each centimeter and an insect is placed at every centimeter. 9 frogs are trained to jump a constant distance. The first one jumps 2 cm in every leap, the second one jumps 3 cm and so on until the 9th one jumps 10 cm in every leap and they eat any insect that is available at that spot. If all of them start from start line and finish the entire 45 cm, how many insects were still left after the race was over?