In this task, you need to answer the given multiple-choice question on the general math. Classify your answers into 'a', 'b', 'c', 'd', and 'e'.

Problem: how many numbers between 190 and 580 are divisible by 45 and 6 ? 
Options: a ) 6 , b ) 7 , c ) 8 , d ) 9 , e ) 10
a

Problem: a city with a population of 126,160 is to be divided into 7 voting districts , and no district is to have a population that is more than 10 percent greater than the population of any other district . what is the minimum possible population that the least populated district could have ? 
Options: a ) 16,500 , b ) 16,600 , c ) 16,700 , d ) 16,800 , e ) 16,900
b

Problem: if p # q denotes the least common multiple of p and q , then p = ( ( 12 # 16 ) # ( 18 # 24 ) ) = ? 
Options: a ) 216 , b ) 180 , c ) 144 , d ) 108 , e ) 72

c