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'.

[EX Q]: Problem: in a certain egg - processing plant , every egg must be inspected , and is either accepted for processing or rejected . for every 96 eggs accepted for processing , 4 eggs are rejected . if , on a particular day , 12 additional eggs were accepted , but the overall number of eggs inspected remained the same , the ratio of those accepted to those rejected would be 99 to 1 . how many q eggs does the plant process per day ? 
Options: a ) 100 , b ) 300 , c ) 400 , d ) 3000 , e ) 4000
[EX A]: c

[EX Q]: Problem: a store owner estimates that the average price of type a products will increase by 20 % next year and that the price of type b products will increase by 11 % next year . this year , the total amount paid for type a products was $ 3500 and the total price paid for type b products was $ 8600 . according to the store owner ' s estimate , and assuming the number of products purchased next year remains the same as that of this year , how much will be spent for both products next year ? 
Options: a ) $ 13,746 , b ) $ 15,325 , c ) $ 16,000 , d ) $ 16,225 , e ) $ 17,155
[EX A]: a

[EX Q]: Problem: if p and q are prime numbers , how many divisors does the product p ^ 4 * q ^ 9 have ? 
Options: a ) 30 , b ) 35 , c ) 40 , d ) 50 , e ) 60
[EX A]:
d