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: of the goose eggs laid at a certain pond , 2 / 3 hatched and 3 / 4 of the geese that hatched from those eggs survived the first month . of the geese that survived the first month , 3 / 5 did not survive the first year . if 125 geese survived the first year and if no more than one goose hatched from each egg , how many goose eggs were laid at the pond ? 
Options: a ) 280 , b ) 400 , c ) 540 , d ) 625 , e ) 840
[EX A]: d

[EX Q]: Problem: if x is real , find the maximum value of the expression - 2 x ^ 2 + 5 x + 7 . 
Options: a ) 6.125 , b ) 8.125 , c ) 10.125 , d ) 12.125 , e ) 14.125
[EX A]: c

[EX Q]: Problem: in a coconut grove , ( x + 2 ) trees yield 60 nuts per year , x trees yield 120 nuts per year and ( x – 2 ) trees yield 180 nuts per year . if the average yield per year per tree be 100 , find x . 
Options: a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 7
[EX A]:
e