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: 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
c

Problem: if a and b are the roots of the equation x 2 - 9 x + 20 = 0 , find the value of a 2 + b 2 + ab ? 
Options: a ) 57 , b ) 59 , c ) 61 , d ) 63 , e ) 65
c

Problem: the sum of the squares of three numbers is 100 , while the sum of their products taken two at a time is 48 . their sum is : 
Options: a ) 20 , b ) 30 , c ) 40 , d ) 50 , e ) none of these

e