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: the average ( arithmetic mean ) of 4 positive integers is 50 . if the average of 2 of these integers is 35 , what is the greatest possible value that one of the other 2 integers can have ? 
Options: a ) 55 , b ) 65 , c ) 100 , d ) 109 , e ) 129
[EX A]: e

[EX Q]: Problem: average of 10 matches is 32 , how many runs one should should score to increase his average by 5 runs . 
Options: a ) a ) 70 , b ) b ) 76 , c ) c ) 78 , d ) d ) 80 , e ) e ) 87
[EX A]: e

[EX Q]: Problem: the two lines y = x and x = - 4 intersect on the coordinate plane . if z represents the area of the figure formed by the intersecting lines and the x - axis , what is the side length q of a cube whose surface area is equal to 6 z ? 
Options: a ) q = 16 , b ) q = 8 √ 2 , c ) q = 8 , d ) q = 2 √ 2 , e ) ( √ 2 ) / 3
[EX A]:
d