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: for any integer k greater than 1 , the symbol k * denotes the product of all integers between 1 and k , inclusive . if k * is a multiple of 315 what is the least possible value of k ? 
Options: a ) 5 , b ) 7 , c ) 9 , d ) 11 , e ) 13
b

Problem: how many positive integers less than 1000 are multiples of 5 but not of 4 or 7 ? 
Options: a ) 114 , b ) 121 , c ) 122 , d ) 129 , e ) 136
c

Problem: a city with a population of 160,080 is to be divided into 8 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 ) 18,200 , b ) 18,300 , c ) 18,400 , d ) 18,500 , e ) 18,600

c