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'.

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

A: d
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Q: Problem: from a total of 5 boys and 6 girls , how many 4 - person committees can be selected if the committee must have exactly 2 boys and 2 girls ? 
Options: a ) 16 , b ) 24 , c ) 60 , d ) 120 , e ) 150

A: e
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Q: Problem: if k is the greatest positive integer such that 3 ^ k is a divisor of 18 ! then k = 
Options: a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 8

A:
e
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