instruction:
In this task, you need to provide the correct option for a given problem from the provided options.
question:
Problem: at the faculty of aerospace engineering , 312 students study random - processing methods , 232 students study scramjet rocket engines and 114 students study them both . if every student in the faculty has to study one of the two subjects , how many students are there in the faculty of aerospace engineering ? 
Options: a ) 438 , b ) 436 , c ) 430 , d ) 442 , e ) 444
answer:
c


question:
Problem: a jar contains a mixture of ab in the ratio 3 : 2 . when 10 l of mixture is replaced with liquid b , ratio becomes 2 : 3 . how many liters of liquid a was present in mixture initially . 
Options: a ) 18 , b ) 15 , c ) 16 , d ) 20 , e ) 25
answer:
a


question:
Problem: the compounded ratio of ( 2 : 3 ) , ( 6 : 11 ) and ( 11 : 2 ) is : 
Options: a ) 1 : 2 , b ) 5 : 9 , c ) 2 : 1 , d ) 11 : 24 , e ) none
answer:

c